From 40fb2059e31c525952e71782acecd97c178fb6e6 Mon Sep 17 00:00:00 2001
From: 闫增涛 <1829501689@qq.com>
Date: 星期五, 18 十月 2024 18:10:27 +0800
Subject: [PATCH] 数学标注

---
 src/books/civilAviation/view/components/index.vue |   12 
 src/books/mathBook/assets/main.less               |    1 
 src/components/examinations/index.vue             |    1 
 src/books/mathBook/view/components/index.vue      |    6 
 src/books/mathBook/view/components/chapter005.vue | 6747 +++++++++++++++-------------
 src/components/calculator/index.vue               |   58 
 src/App.vue                                       |    1 
 src/books/mathBook/view/components/chapter004.vue | 4659 +++++++++++--------
 src/books/mathBook/view/components/chapter003.vue | 2511 ++++++----
 9 files changed, 7,907 insertions(+), 6,089 deletions(-)

diff --git a/src/App.vue b/src/App.vue
index 5175ac6..a7c17d7 100644
--- a/src/App.vue
+++ b/src/App.vue
@@ -63,6 +63,7 @@
       // artAndDance
       // artAndDrama
       // mathBook
+      // civilAviation
       this.activeBook = await this.config.getBookConfig(
       process.env.VUE_APP_RESOURCE_CTX +
         (process.env.VUE_APP_ENV == "product"
diff --git a/src/books/civilAviation/view/components/index.vue b/src/books/civilAviation/view/components/index.vue
index a81abe8..9a16a8e 100644
--- a/src/books/civilAviation/view/components/index.vue
+++ b/src/books/civilAviation/view/components/index.vue
@@ -54,13 +54,13 @@
       ></chapterEight> -->
       
     </div>
-    <miniAudio
+    <!-- <miniAudio
       :path="audioPath"
       :currentTime="currentTime"
       @closeMiniAudio="closeMiniAudio"
       ref="audioPlayer"
     >
-    </miniAudio>
+    </miniAudio> -->
   </div>
 </template>
 
@@ -84,7 +84,7 @@
 export default {
   data() {
     return {
-      catalogLength: 9, // 鎬荤珷鑺傛暟
+      catalogLength: 2, // 鎬荤珷鑺傛暟
       showCatalogList: [], // 鏄剧ず鐨勭珷鑺�
       loadThreshold: 300, // 瑙﹀彂鍔犺浇闃堝��
       throttleThreshold: 100, // 鑺傛祦闃堝��
@@ -151,6 +151,7 @@
     // 榛樿鍔犺浇绔犺妭
     this.showCatalogList = [1];
     // 婊氬姩鐩戝惉鑺傛祦
+    debugger
     this.throttledScrollHandler = _.throttle(
       this.scrollFun,
       this.throttleThreshold,
@@ -254,6 +255,8 @@
     // 婊氬姩鐩戝惉
     scrollFun(event) {
       // 鍒ゆ柇鍚戜笂婊氬姩杩樻槸鍚戜笅婊氬姩
+      console.log(11);
+      
       if (event.target.scrollTop > this.previousScrollTop) {
         this.getAduio();
         // 鍚戜笅
@@ -263,6 +266,9 @@
           currentScrollTop >=
           event.target.scrollHeight - this.loadThreshold
         ) {
+          console.log(1);
+          
+          debugger
           // 鍒拌揪闃堝��
           if (
             this.showCatalogList[this.showCatalogList.length - 1] <
diff --git a/src/books/mathBook/assets/main.less b/src/books/mathBook/assets/main.less
index ef4c023..3a2b169 100644
--- a/src/books/mathBook/assets/main.less
+++ b/src/books/mathBook/assets/main.less
@@ -864,6 +864,7 @@
   .p-btn {
     display: flex;
     justify-content: left;
+    align-items: center;
     flex-wrap: wrap;
     i {
       text-indent: 0;
diff --git a/src/books/mathBook/view/components/chapter003.vue b/src/books/mathBook/view/components/chapter003.vue
index 27badca..711dbc2 100644
--- a/src/books/mathBook/view/components/chapter003.vue
+++ b/src/books/mathBook/view/components/chapter003.vue
@@ -124,26 +124,45 @@
           </li>
         </ul>
         <div class="padding-116">
-          <p>
+          <p class="p-btn" >
             <span>
               <span
                 class="zt-ls"><b>渚�1</b></span>銆�鎴戝浗瑕佸缓璁剧幇浠e寲浜т笟浣撶郴锛屾帹鍔ㄥ埗閫犱笟楂樼鍖栧彂灞�.鏉庡钩鍒朵綔浜�6涓満姊伴浂浠讹紝瀹冧滑鐨勭洿寰勫琛�3-2鎵�绀�.璇风敤鍑芥暟鐨勬蹇垫弿杩版潕骞冲埗浣滆繖鎵规満姊伴浂浠剁殑鐩村緞<i>y</i>锛�<i>mm</i>
               锛変笌闆朵欢鐨勬爣鍙�<i>x</i>鐨勫嚱鏁板叧绯�.
             </span>
-
+            <span class="btn-box" @click="isShowAnswer0 = !isShowAnswer0">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
           <p class="img">琛�3-2</p>
           <p class="center"><img class="img-a" alt="" src="../../assets/images/0082-1.jpg" /></p>
-          <p><span class="zt-ls"><b>瑙�</b></span>
+          <p v-if="isShowAnswer0" >
+            <span class="zt-ls"><b>瑙�</b></span>
             璁�<i>x</i>琛ㄧず闆朵欢鐨勬爣鍙凤紝<i>y</i>琛ㄧず闆朵欢鐨勭洿寰勶紝鐢辫〃3-2锛寋1锛�2锛�3锛�4锛�5锛�6}涓殑浠讳竴鏁帮紝<i>y</i>閮芥湁浠讳竴纭畾鐨勫�间笌瀹冨搴旓紝鎵�浠ヨ〃3-2纭畾浜�<i>y</i>涓�<i>x</i>鐨勫嚱鏁板叧绯伙紝鍏跺畾涔夊煙涓簕1锛�2锛�3锛�4锛�5锛�6}锛屽�煎煙涓簕13.40锛�13.50锛�13.55锛�13.60锛�13.65锛�13.70}.
           </p>
-          <p><span
+          <p class="p-btn" >
+            <span>
+              <span
               class="zt-ls"><b>渚�2</b></span>銆�宸茬煡鍑芥暟<i>f</i>锛�<i>x</i>锛�=3<i>x</i><sup>2</sup>-1.褰撹嚜鍙橀噺<i>x</i>涓�-1锛�0锛�1锛�<i>a</i>鏃讹紝姹傚畠浠墍瀵瑰簲鐨勫嚱鏁板��.
+            </span>
+            <span class="btn-box" @click="isShowAnswer1 = !isShowAnswer1">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p><span class="zt-ls"><b>瑙�</b></span> <i>f</i>锛�-1锛�=3脳锛�-1锛�<sup>2</sup>-1=3-1=2锛�</p>
-          <p>銆� <i>f</i>锛�0锛�=3脳0<sup>2</sup>-1=0-1=-1锛�</p>
-          <p>銆� <i>f</i>锛�1锛�=3脳1<sup>2</sup>-1=3-1=2锛�</p>
-          <p>銆� <i>f</i>锛�<i>a</i>锛�=3脳<i>a</i><sup>2</sup>-1=3<i>a</i><sup>2</sup>-1.</p>
+          <div v-if="isShowAnswer1" >
+            <p><span class="zt-ls"><b>瑙�</b></span> <i>f</i>锛�-1锛�=3脳锛�-1锛�<sup>2</sup>-1=3-1=2锛�</p>
+            <p>銆� <i>f</i>锛�0锛�=3脳0<sup>2</sup>-1=0-1=-1锛�</p>
+            <p>銆� <i>f</i>锛�1锛�=3脳1<sup>2</sup>-1=3-1=2锛�</p>
+            <p>銆� <i>f</i>锛�<i>a</i>锛�=3脳<i>a</i><sup>2</sup>-1=3<i>a</i><sup>2</sup>-1.</p>
+          </div>    
           <div class="fieldset">
             <p><b>鐩稿叧閾炬帴</b></p>
             <p class="block">榄旀柟鏄敱6涓笉鍚岄鑹茬殑闈㈢粍鎴愮殑姝f柟浣擄紝瀹冨彲缁勬垚绾�4 325浜夸嚎绉嶄笉鍚岄鑹茬殑缁勫悎锛屽叾鏈�浣冲鍘熼瓟鏂归鑹茬粍鍚堢殑鏂规硶鏄敤鏁板鏂规硶鐮旂┒鍑烘潵鐨�.</p>
@@ -159,11 +178,24 @@
           </div>
           <p class="center"><img class="img-c" alt="" src="../../assets/images/0082-2.jpg" /></p>
           <p class="img">鍥�3-2</p>
-          <p><span class="zt-ls"><b>渚�3</b></span>銆�濡傚浘3-2鎵�绀猴紝涓�涓竟闀挎槸<i>a</i>鐨勬鏂逛綋锛屼綋绉槸<i>V</i>锛屽啓鍑轰綋绉�<i>V</i> 闅忚竟闀�<i>a</i>
-            鍙樺寲鐨勫嚱鏁板叧绯诲紡锛屽苟鎸囧嚭鍑芥暟鐨勮嚜鍙橀噺鍜屽畾涔夊煙.</p>
-          <p><span class="zt-ls"><b>瑙�</b></span> 浣撶Н<i>V</i> 闅忚竟闀�<i>a</i>鍙樺寲鐨勫嚱鏁板叧绯诲紡鏄�</p>
-          <p class="center"><i>V</i>=<i>a</i><sup>3</sup>锛�<i>a</i>锛�0锛�.</p>
-          <p>鍏朵腑<i>a</i>鏄嚜鍙橀噺锛屽畾涔夊煙涓簕<i>a</i>|<i>a</i>锛�0}.</p>
+          <p>
+            <span>
+              <span class="zt-ls"><b>渚�3</b></span>銆�濡傚浘3-2鎵�绀猴紝涓�涓竟闀挎槸<i>a</i>鐨勬鏂逛綋锛屼綋绉槸<i>V</i>锛屽啓鍑轰綋绉�<i>V</i> 闅忚竟闀�<i>a</i>
+              鍙樺寲鐨勫嚱鏁板叧绯诲紡锛屽苟鎸囧嚭鍑芥暟鐨勮嚜鍙橀噺鍜屽畾涔夊煙.
+            </span>
+            <span class="btn-box" @click="isShowAnswer2 = !isShowAnswer2">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <div v-if="isShowAnswer2" >
+            <p><span class="zt-ls"><b>瑙�</b></span> 浣撶Н<i>V</i> 闅忚竟闀�<i>a</i>鍙樺寲鐨勫嚱鏁板叧绯诲紡鏄�</p>
+            <p class="center"><i>V</i>=<i>a</i><sup>3</sup>锛�<i>a</i>锛�0锛�.</p>
+            <p>鍏朵腑<i>a</i>鏄嚜鍙橀噺锛屽畾涔夊煙涓簕<i>a</i>|<i>a</i>锛�0}.</p>
+          </div>
           <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
           <div class="bj">
             <examinations :cardList="questionData[78] ? questionData[78][2] : []" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
@@ -200,42 +232,54 @@
               </mfrac>
             </math>鐨勫嚱鏁板��<i>f</i>锛�0锛夛紝鍥犱负<i>f</i>锛�0锛夋棤鎰忎箟锛屽洜姝わ紝瀹冪殑瀹氫箟鍩熸槸{<i>x</i>锝�<i>x</i>鈮�0}.鍦ㄥ疄闄呴棶棰樹腑锛屽嚱鏁扮殑瀹氫箟鍩熼�氬父鐢遍棶棰樼殑瀹為檯鑳屾櫙鎵�鍐冲畾.濡備緥3涓殑鍑芥暟<i>V</i>=<i>a</i><sup>3</sup>锛岀敱浜�<i>a</i>鏄鏂逛綋鐨勮竟闀匡紝鎵�浠ュ嚱鏁扮殑瀹氫箟鍩熶负<i>A</i>={<i>a</i>锝�<i>a</i>锛�0}.
           </p>
-          <p><span
+          <p class="p-btn" >
+            <span>
+              <span
               class="zt-ls"><b>渚�4</b></span>銆�灏变笟鏄渶鍩烘湰鐨勬皯鐢燂紝灏忓嚡閫氳繃鑷富鍒涘姙濂跺搧搴楀疄鐜拌亴涓氬彂灞�.涓轰績閿�鑷埗閰稿ザ锛屾瘡鐡堕吀濂剁殑浠锋牸鏄�3.5鍏冿紝姣忎綅椤惧鏈�澶氬彧鑳借喘涔�50鐡�.鍋囪鏌愪汉璐拱杩欑閰稿ザ<i>x</i>鐡讹紝搴斾粯娆�<i>y</i>鍏�.閭d箞<i>y</i>锛堝厓锛夋槸<i>x</i>锛堢摱锛夌殑鍑芥暟鍚楋紵濡傛灉鏄紝璇峰啓鍑哄嚱鏁扮殑瀹氫箟鍩熴�佸搴斿叧绯诲拰鍊煎煙锛涘鏋滀笉鏄紝璇疯鏄庣悊鐢�.
+            </span>
+            <span class="btn-box" @click="isShowAnswer3 = !isShowAnswer3">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p><span class="zt-ls"><b>瑙�</b></span>
-            <i>x</i>鐨勫彇鍊艰寖鍥存槸鏁伴泦<i>A</i>={<i>x</i>|<i>x</i>鈮�50锛�<i>x</i>鈭�<b>N</b>}锛�<i>y</i>鐨勫彇鍊艰寖鍥存槸鏁伴泦<i>B</i>={<i>y</i>|<i>y</i>=3.5<i>x</i>锛�<i>x</i>鈮�50锛屼笖<i>x</i>鈭�<b>N</b>}.瀵逛簬闆嗗悎<i>A</i>涓殑浠讳竴涓暟<i>x</i>锛屾寜鐓у搴斿叧绯伙紝鍦ㄩ泦鍚�<i>B</i>涓兘鏈夊敮涓�纭畾鐨勫�间笌涔嬪搴旓紝鎵�浠ュ簲浠樻<i>y</i>鏄喘涔版暟閲�<i>x</i>鐨勫嚱鏁�.
-          </p>
-          <p>
-            鍑芥暟鐨勫畾涔夊煙鏄瘂<i>x</i>|<i>x</i>鈮�50锛�<i>x</i>鈭�<b>N</b>}锛屽搴斿叧绯绘槸<i>y</i>=3.5<i>x</i>锛屽�煎煙鏄瘂<i>y</i>|<i>y</i>=3.5<i>x</i>锛�<i>x</i>鈮�50锛屼笖<i>x</i>鈭�<b>N</b>}.
-          </p>
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-            渚�4涓嚱鏁扮殑瀹氫箟鍩熶负浠�涔堟槸{<i>x</i>|<i>x</i>鈮�50锛�<i>x</i>鈭�<b>N</b>}锛岃�屼笉鏄瘂<i>x</i>|<i>x</i>鈭�<b>R</b>}锛熻繖鏄洜涓烘鍑芥暟鐨勫畾涔夊煙鑰冭檻浜嗗嚱鏁拌嚜鍙橀噺鍙栧�肩殑瀹㈣瀹為檯鑳屾櫙.
-          </p>
+          <div v-if="isShowAnswer3" >
+            <p><span class="zt-ls"><b>瑙�</b></span>
+              <i>x</i>鐨勫彇鍊艰寖鍥存槸鏁伴泦<i>A</i>={<i>x</i>|<i>x</i>鈮�50锛�<i>x</i>鈭�<b>N</b>}锛�<i>y</i>鐨勫彇鍊艰寖鍥存槸鏁伴泦<i>B</i>={<i>y</i>|<i>y</i>=3.5<i>x</i>锛�<i>x</i>鈮�50锛屼笖<i>x</i>鈭�<b>N</b>}.瀵逛簬闆嗗悎<i>A</i>涓殑浠讳竴涓暟<i>x</i>锛屾寜鐓у搴斿叧绯伙紝鍦ㄩ泦鍚�<i>B</i>涓兘鏈夊敮涓�纭畾鐨勫�间笌涔嬪搴旓紝鎵�浠ュ簲浠樻<i>y</i>鏄喘涔版暟閲�<i>x</i>鐨勫嚱鏁�.
+            </p>
+            <p>
+              鍑芥暟鐨勫畾涔夊煙鏄瘂<i>x</i>|<i>x</i>鈮�50锛�<i>x</i>鈭�<b>N</b>}锛屽搴斿叧绯绘槸<i>y</i>=3.5<i>x</i>锛屽�煎煙鏄瘂<i>y</i>|<i>y</i>=3.5<i>x</i>锛�<i>x</i>鈮�50锛屼笖<i>x</i>鈭�<b>N</b>}.
+            </p>
+            <p>
+              渚�4涓嚱鏁扮殑瀹氫箟鍩熶负浠�涔堟槸{<i>x</i>|<i>x</i>鈮�50锛�<i>x</i>鈭�<b>N</b>}锛岃�屼笉鏄瘂<i>x</i>|<i>x</i>鈭�<b>R</b>}锛熻繖鏄洜涓烘鍑芥暟鐨勫畾涔夊煙鑰冭檻浜嗗嚱鏁拌嚜鍙橀噺鍙栧�肩殑瀹㈣瀹為檯鑳屾櫙.
+            </p>
+          </div>
           <p class="center"><img class="img-c" alt="" src="../../assets/images/0083-2.jpg" /></p>
           <p class="img">鍥�3-3</p>
-          <p><span
+          <p class="p-btn" >
+            <span>
+              <span
               class="zt-ls"><b>渚�5</b></span>銆�濡傚浘3-3鎵�绀猴紝鍦ㄧ煩褰�<i>ABCD</i>涓紝<i>AB</i>鐨勯暱搴︽槸<i>x</i>锛坢锛夛紝<i>BC</i>鐨勯暱搴︽槸锛�12-<i>x</i>锛夛紙m锛夛紝鐭╁舰<i>ABCD</i>鐨勯潰绉槸<i>y</i>锛�<i>m</i><sup>2</sup>锛夛紝鍒�<i>y</i>涓�<i>x</i>鐨勫搴斿叧绯绘槸<i>y</i>=<i>x</i>锛�12-<i>x</i>锛夛紝姹傝鍑芥暟鐨勫畾涔夊煙.
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-              class="zt-ls2"><b>鍒嗘瀽</b></span>銆�鍥犱负<i>AB</i>鐨勯暱搴︿负<i>x</i>锛坢锛夛紝<i>BC</i>鐨勯暱搴︿负锛�12-<i>x</i>锛夛紙m锛夛紝鎵�浠ュ繀椤绘弧瓒�<i>x</i>锛�0涓�12-<i>x</i>锛�0鎵嶆湁瀹為檯鎰忎箟.
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-            <p>绗笁鍗曞厓 鍑芥暟</p>
-          </li>
-          <li>
-            <p><span>073</span></p>
-          </li>
-        </ul>
-        <div class="padding-116">
-          <p><span class="zt-ls"><b>瑙�</b></span> 瑕佷娇鍑芥暟<i>y</i>=<i>x</i>锛�12-<i>x</i>锛夋湁瀹為檯鎰忎箟锛屽繀椤绘弧瓒�<math display="0">
+          <p v-if="isShowAnswer4" >
+            <span class="zt-ls"><b>瑙�</b></span> 瑕佷娇鍑芥暟<i>y</i>=<i>x</i>锛�12-<i>x</i>锛夋湁瀹為檯鎰忎箟锛屽繀椤绘弧瓒�<math display="0">
               <mrow data-mjx-texclass="INNER">
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@@ -262,156 +306,211 @@
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             </math>瑙e緱0锛�<i>x</i>锛�12.鎵�浠ヨ繖涓嚱鏁扮殑瀹氫箟鍩熸槸{<i>x</i>|0锛�<i>x</i>锛�12}.</p>
+        </div>
+      </div>
+    </div>
+    <!-- 073 -->
+    <div class="page-box" page="80">
+      <div v-if="showPageList.indexOf(80) > -1">
+        <ul class="page-header-box">
+          <li>
+            <p>绗笁鍗曞厓 鍑芥暟</p>
+          </li>
+          <li>
+            <p><span>073</span></p>
+          </li>
+        </ul>
+        <div class="padding-116">
           <p><span class="zt-ls"><b>渚�6</b></span>銆�姹備笅鍒楀嚱鏁扮殑瀹氫箟鍩�.</p>
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-              <mi>f</mi>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
-                <mi>x</mi>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-              <mo>=</mo>
-              <mfrac>
-                <mn>1</mn>
-                <mrow>
-                  <mn>4</mn>
+          <p class="p-btn" >
+            <span>
+              锛�1锛� <math display="0">
+                <mi>f</mi>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
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-                  <mo>+</mo>
-                  <mn>7</mn>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
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-              </mfrac>
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-              <mi>f</mi>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
-                <mi>x</mi>
-                <mo data-mjx-texclass="CLOSE">)</mo>
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-              <mo>=</mo>
-              <msqrt>
-                <mi>x</mi>
-                <mo>鈭�</mo>
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-              <mi>f</mi>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
-                <mi>x</mi>
-                <mo data-mjx-texclass="CLOSE">)</mo>
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-              <mo>=</mo>
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-                <mi>x</mi>
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-          <math display="block">
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-                <mi>x</mi>
-                <mo>鈮�</mo>
-                <mo>鈭�</mo>
+                <mo>=</mo>
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-          <p class="center"><i>x</i>-3鈮�0锛�</p>
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-                <mtr>
-                  <mtd>
+                    <mn>7</mn>
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+                </mfrac>
+              </math>锛�
+            </span>
+            <span class="btn-box" @click="isShowAnswer5 = !isShowAnswer5">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <p class="p-btn">
+            <span>
+              锛�2锛�<math display="0">
+                <mi>f</mi>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mi>x</mi>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+                <mo>=</mo>
+                <msqrt>
+                  <mi>x</mi>
+                  <mo>鈭�</mo>
+                  <mn>3</mn>
+                </msqrt>
+              </math>锛�
+            </span>
+            <span class="btn-box" @click="isShowAnswer6 = !isShowAnswer6">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <p class="p-btn" >
+            <span>
+              锛�3锛� <math display="0">
+                <mi>f</mi>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mi>x</mi>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+                <mo>=</mo>
+                <msqrt>
+                  <mn>4</mn>
+                  <mi>x</mi>
+                  <mo>+</mo>
+                  <mn>8</mn>
+                </msqrt>
+                <mo>+</mo>
+                <mfrac>
+                  <mn>1</mn>
+                  <mrow>
                     <mi>x</mi>
                     <mo>鈭�</mo>
                     <mn>3</mn>
-                    <mo>鈮�</mo>
-                    <mn>0</mn>
-                    <mo>锛�</mo>
-                  </mtd>
-                  <mtd></mtd>
-                </mtr>
-              </mtable>
-              <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
-            </mrow>
-          </math>
-          <p>瑙e緱</p>
-          <math display="block">
-            <mrow data-mjx-texclass="INNER">
-              <mo data-mjx-texclass="OPEN">{</mo>
-              <mtable columnspacing="1em" rowspacing="4pt">
-                <mtr>
-                  <mtd>
-                    <mi>x</mi>
-                    <mo>鈮�</mo>
-                    <mo>鈭�</mo>
-                    <mn>2</mn>
-                    <mo>锛�</mo>
-                  </mtd>
-                  <mtd></mtd>
-                </mtr>
-                <mtr>
-                  <mtd>
-                    <mi>x</mi>
-                    <mo>鈮�</mo>
-                    <mn>3.</mn>
-                  </mtd>
-                  <mtd></mtd>
-                </mtr>
-              </mtable>
-              <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
-            </mrow>
-          </math>
-          <p>鎵�浠ュ嚱鏁�<i>f</i>锛�<i>x</i>锛夌殑瀹氫箟鍩熸槸{<i>x</i>|<i>x</i>鈮�-2涓�<i>x</i>鈮�3}.</p>
+                  </mrow>
+                </mfrac>
+              </math>.
+            </span>
+            <span class="btn-box" @click="isShowAnswer7 = !isShowAnswer7">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <div v-if="isShowAnswer5" >
+            <p><span class="zt-ls"><b>瑙�</b></span>锛�1锛� 瑕佷娇璇ュ嚱鏁版湁鎰忎箟锛屽繀椤绘弧瓒�</p>
+            <p class="center">4<i>x</i>+7鈮�0锛�</p>
+            <p>瑙e緱</p>
+            <math display="block">
+              <mi>x</mi>
+              <mo>鈮�</mo>
+              <mo>鈭�</mo>
+              <mfrac>
+                <mn>7</mn>
+                <mn>4</mn>
+              </mfrac>
+              <mo>.</mo>
+            </math>
+            <p>鎵�浠ュ嚱鏁�<i>f</i>锛�<i>x</i>锛夌殑瀹氫箟鍩熸槸<math display="0">
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">{</mo>
+                  <mi>x</mi>
+                  <mrow>
+                    <mo stretchy="false">|</mo>
+                  </mrow>
+                  <mi>x</mi>
+                  <mo>鈮�</mo>
+                  <mo>鈭�</mo>
+                  <mfrac>
+                    <mn>7</mn>
+                    <mn>4</mn>
+                  </mfrac>
+                  <mo data-mjx-texclass="CLOSE">}</mo>
+                </mrow>
+              </math>.</p>
+          </div>
+          <div v-if="isShowAnswer6" >
+            <p>锛�2锛� 瑕佷娇璇ュ嚱鏁版湁鎰忎箟锛屽繀椤绘弧瓒�</p>
+            <p class="center"><i>x</i>-3鈮�0锛�</p>
+            <p>瑙e緱銆�<i>x</i>鈮�3.</p>
+            <p>鎵�浠ュ嚱鏁�<i>f</i>锛�<i>x</i>锛夌殑瀹氫箟鍩熸槸{<i>x</i>|<i>x</i>鈮�3}.</p>
+          </div>
+          <div v-if="isShowAnswer7" >
+            <p>锛�3锛� 瑕佷娇璇ュ嚱鏁版湁鎰忎箟锛屽繀椤绘弧瓒�</p>
+            <math display="block">
+              <mrow data-mjx-texclass="INNER">
+                <mo data-mjx-texclass="OPEN">{</mo>
+                <mtable columnspacing="1em" rowspacing="4pt">
+                  <mtr>
+                    <mtd>
+                      <mn>4</mn>
+                      <mi>x</mi>
+                      <mo>+</mo>
+                      <mn>8</mn>
+                      <mo>鈮�</mo>
+                      <mn>0</mn>
+                      <mo>锛�</mo>
+                    </mtd>
+                    <mtd></mtd>
+                  </mtr>
+                  <mtr>
+                    <mtd>
+                      <mi>x</mi>
+                      <mo>鈭�</mo>
+                      <mn>3</mn>
+                      <mo>鈮�</mo>
+                      <mn>0</mn>
+                      <mo>锛�</mo>
+                    </mtd>
+                    <mtd></mtd>
+                  </mtr>
+                </mtable>
+                <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+              </mrow>
+            </math>
+            <p>瑙e緱</p>
+            <math display="block">
+              <mrow data-mjx-texclass="INNER">
+                <mo data-mjx-texclass="OPEN">{</mo>
+                <mtable columnspacing="1em" rowspacing="4pt">
+                  <mtr>
+                    <mtd>
+                      <mi>x</mi>
+                      <mo>鈮�</mo>
+                      <mo>鈭�</mo>
+                      <mn>2</mn>
+                      <mo>锛�</mo>
+                    </mtd>
+                    <mtd></mtd>
+                  </mtr>
+                  <mtr>
+                    <mtd>
+                      <mi>x</mi>
+                      <mo>鈮�</mo>
+                      <mn>3.</mn>
+                    </mtd>
+                    <mtd></mtd>
+                  </mtr>
+                </mtable>
+                <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+              </mrow>
+            </math>
+            <p>鎵�浠ュ嚱鏁�<i>f</i>锛�<i>x</i>锛夌殑瀹氫箟鍩熸槸{<i>x</i>|<i>x</i>鈮�-2涓�<i>x</i>鈮�3}.</p>
+          </div>
           <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
           <div class="bj" >
             <examinations :cardList="questionData[80]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
@@ -440,15 +539,39 @@
           <p>鎴戜滑鐭ラ亾锛屼笂涓�鑺傗�滆瀵熸�濊�冣�濅腑鐨�3涓儏澧冮兘娑夊強鍙橀噺涔嬮棿鐨勫嚱鏁板叧绯�.鎯呭1涓紝閿�鍞敹鍏�<i>y</i>锛堝厓锛変笌閿�鍞噺<i>x</i>锛坘g 锛夌殑鍑芥暟鍏崇郴鏄�<i>y</i>=6<i>x</i>锛�0鈮�<i>x</i>鈮�2
             000锛岃繖绉嶈〃绀哄嚱鏁板叧绯荤殑鏂规硶绉颁负瑙f瀽娉曪紱鎯呭2涓紝鐢ㄨ〃鏍艰〃绀轰簡鍙戝皠鍗槦鐨勯鏁�<i>y</i>涓庡勾浠�<i>x</i>鐨勫嚱鏁板叧绯伙紝杩欑琛ㄧず鍑芥暟鍏崇郴鐨勬柟娉曠О涓哄垪琛ㄦ硶锛涙儏澧�3涓紝鐢ㄥ浘鍍忚〃绀轰簡姘旀俯<i>Q</i>涓庢椂闂�<i>t</i>鐨勫嚱鏁板叧绯伙紝杩欑琛ㄧず鍑芥暟鍏崇郴鐨勬柟娉曠О涓哄浘鍍忔硶.
           </p>
-          <p><span class="zt-ls"><b>渚�1</b></span>銆�鏌愯締姹借溅浠�30 km/<i>h</i> 鐨勯�熷害鍖�閫熺洿绾胯椹讹紝鐢ㄨВ鏋愭硶琛ㄧず姹借溅琛岄┒鐨勮矾绋�<i>s</i>锛坘m
-            锛変笌鏃堕棿<i>t</i>锛�<i>h</i>锛変箣闂寸殑瀵瑰簲鍏崇郴.</p>
-          <p><span class="zt-ls"><b>瑙�</b></span> 杩欎釜鍑芥暟鐨勫畾涔夊煙鏄瘂<i>t</i>|<i>t</i>鈮�0}.</p>
-          <p>鐢ㄨВ鏋愭硶鍙皢杩欎釜鍑芥暟琛ㄧず涓�<i>s</i>=30<i>t</i>锛�<i>t</i>鈮�0.</p>
-          <p>鐢ㄨВ鏋愭硶琛ㄧず鍑芥暟鍏崇郴锛岃兘澶熷噯纭�佸畬鏁村湴鍙嶆槧涓や釜鍙橀噺涔嬮棿鐨勫叧绯�.</p>
-          <p><span class="zt-ls"><b>渚�2</b></span>銆�杩戝勾鎴戝浗蹇�掍笟鍔¢噺杩呴�熷闀匡紝浠�2017骞磋嚦2021骞达紝姣忓勾鐨勫揩閫掍笟鍔¢噺鎯呭喌濡傝〃3-4鎵�绀猴紙娉細寮曡嚜鍥藉缁熻灞�鏁版嵁锛�.</p>
+          <p class="p-btn" >
+            <span>
+              <span class="zt-ls"><b>渚�1</b></span>銆�鏌愯締姹借溅浠�30 km/<i>h</i> 鐨勯�熷害鍖�閫熺洿绾胯椹讹紝鐢ㄨВ鏋愭硶琛ㄧず姹借溅琛岄┒鐨勮矾绋�<i>s</i>锛坘m
+              锛変笌鏃堕棿<i>t</i>锛�<i>h</i>锛変箣闂寸殑瀵瑰簲鍏崇郴.
+            </span>
+            <span class="btn-box" @click="isShowAnswer8 = !isShowAnswer8">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <div v-if="isShowAnswer8" >
+            <p><span class="zt-ls"><b>瑙�</b></span> 杩欎釜鍑芥暟鐨勫畾涔夊煙鏄瘂<i>t</i>|<i>t</i>鈮�0}.</p>
+            <p>鐢ㄨВ鏋愭硶鍙皢杩欎釜鍑芥暟琛ㄧず涓�<i>s</i>=30<i>t</i>锛�<i>t</i>鈮�0.</p>
+            <p>鐢ㄨВ鏋愭硶琛ㄧず鍑芥暟鍏崇郴锛岃兘澶熷噯纭�佸畬鏁村湴鍙嶆槧涓や釜鍙橀噺涔嬮棿鐨勫叧绯�.</p>
+          </div>
+          <p>
+            <span>
+              <span class="zt-ls"><b>渚�2</b></span>銆�杩戝勾鎴戝浗蹇�掍笟鍔¢噺杩呴�熷闀匡紝浠�2017骞磋嚦2021骞达紝姣忓勾鐨勫揩閫掍笟鍔¢噺鎯呭喌濡傝〃3-4鎵�绀猴紙娉細寮曡嚜鍥藉缁熻灞�鏁版嵁锛�.
+            </span>
+            <span class="btn-box" @click="isShowAnswer9 = !isShowAnswer9">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
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-          <p>琛�3-4娓呮櫚鍦板弽鏄犱簡骞翠唤涓庡綋骞村揩閫掍笟鍔¢噺锛堜嚎浠讹級涔嬮棿鐨勫搴斿叧绯�.鍦ㄥ疄闄呯敓娲讳腑锛岀敤鍒楄〃娉曡〃绀哄彉閲忎箣闂村搴斿叧绯荤殑渚嬪瓙杩樻湁寰堝.渚嬪锛岃褰曟煇浜烘瘡澶╃殑娑堣垂鎯呭喌銆佸崟浣嶈亴宸ョ殑姣忔湀钖祫鏀跺叆銆侀摱琛屼娇鐢ㄧ殑瀛樻鈥滃埄鎭〃鈥濈瓑.</p>
+          <p v-if="isShowAnswer9" >琛�3-4娓呮櫚鍦板弽鏄犱簡骞翠唤涓庡綋骞村揩閫掍笟鍔¢噺锛堜嚎浠讹級涔嬮棿鐨勫搴斿叧绯�.鍦ㄥ疄闄呯敓娲讳腑锛岀敤鍒楄〃娉曡〃绀哄彉閲忎箣闂村搴斿叧绯荤殑渚嬪瓙杩樻湁寰堝.渚嬪锛岃褰曟煇浜烘瘡澶╃殑娑堣垂鎯呭喌銆佸崟浣嶈亴宸ョ殑姣忔湀钖祫鏀跺叆銆侀摱琛屼娇鐢ㄧ殑瀛樻鈥滃埄鎭〃鈥濈瓑.</p>
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-              class="zt-ls"><b>渚�3</b></span>銆�浣跨敤鐜繚姣涘肪鏇夸唬涓�娆℃�х焊宸撅紝鏄�″浣庣⒊鐜繚鐢熸椿鐨勪竴绉嶆柟寮�.鏌愪究姘戣秴甯備績閿�鏌愮灏忔瘺宸撅紝姣忔潯鍞环4鍏冿紝姣忎汉闄愯喘5鏉�.鑻ラ【瀹㈣喘涔�<i>x</i>鏉″皬姣涘肪闇�瑕佷粯娆�<i>y</i>鍏冿紝璇曠敤鍥惧儚娉曡〃绀哄嚱鏁�<i>y</i>=<i>f</i>锛�<i>x</i>锛�.
-          </p>
-          <p><span class="zt-ls"><b>瑙�</b></span> 鍑芥暟<i>y</i>=<i>f</i>锛�<i>x</i>锛夌殑瀹氫箟鍩熸槸{1锛�2锛�3锛�4锛�5}锛岀敤鍥惧儚娉曞彲灏嗚繖涓嚱鏁拌〃绀轰负鍥�3-4.</p>
+          <div v-if="isShowAnswer9" >
+            <p>瑙傚療涓婁竴鑺傗�滆瀵熸�濊�冣�濅腑鐨勬儏澧�3锛屾垜浠彂鐜扮敤鍥惧儚娉曡〃绀哄嚱鏁板叧绯绘椂鑳界洿瑙傚舰璞″湴琛ㄧず鍑哄嚱鏁扮殑灞�閮ㄥ彉鍖栬寰嬶紝杩涜�屽彲浠ラ娴嬪畠鐨勬暣浣撳彉鍖栬秼鍔�.浣嗘槸鎴戜滑骞朵笉鑳戒綔鍑烘墍鏈夊嚱鏁扮殑鍥惧儚.</p>
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-            鍑芥暟鐨勫浘鍍忔棦鍙互鏄鏁g殑鐐癸紝涔熷彲浠ユ槸绾挎銆佺洿绾裤�佹姌绾裤�佽繛缁殑鏇茬嚎绛�.鍦ㄥ垵涓紝鎴戜滑鐢ㄥ垪琛ㄣ�佹弿鐐广�佽繛绾跨殑鏂规硶鐢诲嚭浜嗘姣斾緥鍑芥暟銆佸弽姣斾緥鍑芥暟銆佷竴娆″嚱鏁板拰浜屾鍑芥暟鐨勫浘鍍�.鍥惧儚娉曚篃琚ぇ閲忕敤浜庡悇绫绘暟鎹粺璁′腑.渚嬪锛孏DP锛堝浗鍐呯敓浜ф�诲�硷級姣忓勾鐨勫闀挎儏鍐点�佸眳姘戞秷璐逛环鏍兼瘡瀛e害鐨勫闀挎儏鍐点�佸叏鍥戒汉鍙f暟閲忔瘡骞寸殑鍙樺寲鎯呭喌绛�.
+            <span>
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+                class="zt-ls"><b>渚�3</b></span>銆�浣跨敤鐜繚姣涘肪鏇夸唬涓�娆℃�х焊宸撅紝鏄�″浣庣⒊鐜繚鐢熸椿鐨勪竴绉嶆柟寮�.鏌愪究姘戣秴甯備績閿�鏌愮灏忔瘺宸撅紝姣忔潯鍞环4鍏冿紝姣忎汉闄愯喘5鏉�.鑻ラ【瀹㈣喘涔�<i>x</i>鏉″皬姣涘肪闇�瑕佷粯娆�<i>y</i>鍏冿紝璇曠敤鍥惧儚娉曡〃绀哄嚱鏁�<i>y</i>=<i>f</i>锛�<i>x</i>锛�.
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-            h鍚庡彲鍒拌揪娴锋腐.鍋囪杩欒墭鍐涜埌鍑哄彂t锛坔锛夊悗锛屼笌娴锋腐鐨勮窛绂绘槸s锛坣 mile锛�.</p>
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+            <p class="center"><img class="img-c" alt="" src="../../assets/images/0088-1.jpg" /></p>
+            <p class="img">鍥�3-4</p>
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+              鍑芥暟鐨勫浘鍍忔棦鍙互鏄鏁g殑鐐癸紝涔熷彲浠ユ槸绾挎銆佺洿绾裤�佹姌绾裤�佽繛缁殑鏇茬嚎绛�.鍦ㄥ垵涓紝鎴戜滑鐢ㄥ垪琛ㄣ�佹弿鐐广�佽繛绾跨殑鏂规硶鐢诲嚭浜嗘姣斾緥鍑芥暟銆佸弽姣斾緥鍑芥暟銆佷竴娆″嚱鏁板拰浜屾鍑芥暟鐨勫浘鍍�.鍥惧儚娉曚篃琚ぇ閲忕敤浜庡悇绫绘暟鎹粺璁′腑.渚嬪锛孏DP锛堝浗鍐呯敓浜ф�诲�硷級姣忓勾鐨勫闀挎儏鍐点�佸眳姘戞秷璐逛环鏍兼瘡瀛e害鐨勫闀挎儏鍐点�佸叏鍥戒汉鍙f暟閲忔瘡骞寸殑鍙樺寲鎯呭喌绛�.
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-              <mi>h</mi>
-              <mo>锛�</mo>
-            </math>锛屾墍浠ュ嚱鏁扮殑瀹氫箟鍩熶负{<i>t</i>|0鈮�<i>t</i>鈮�3}.</p>
-          <p class="center"><img class="img-c" alt="" src="../../assets/images/0088-3.jpg" /></p>
-          <p class="img">鍥�3-5</p>
+          <p class="p-btn" >
+            <span>
+              锛�1锛� 鐢ㄨВ鏋愭硶琛ㄧず鍑芥暟<i>s</i>=<i>f</i>锛�<i>t</i>锛夛紱
+            </span>
+            <span class="btn-box" @click="isShowAnswer11 = !isShowAnswer11">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <p class="p-btn" >
+            <span>锛�2锛� 鐢ㄥ浘鍍忔硶琛ㄧず鍑芥暟<i>s</i>=<i>f</i>锛�<i>t</i>锛�.</span>
+            <span class="btn-box" @click="isShowAnswer12 = !isShowAnswer12">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <div v-if="isShowAnswer11" > 
+            <p><span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍥犱负璇ュ啗鑸颁粠鍑哄彂鍦伴┒鍏ユ捣娓渶瑕佺敤鏃�<math display="0">
+                <mfrac>
+                  <mn>135</mn>
+                  <mn>45</mn>
+                </mfrac>
+                <mo>=</mo>
+                <mn>3</mn>
+                <mo>锛�</mo>
+                <mi>h</mi>
+                <mo>锛�</mo>
+              </math>锛屾墍浠ュ嚱鏁扮殑瀹氫箟鍩熶负{<i>t</i>|0鈮�<i>t</i>鈮�3}.
+            </p>
+            <p>鍙堝洜涓鸿鍐涜埌鍑哄彂<i>t</i>锛�<i>h</i>锛夊悗锛岃椹剁殑璺▼涓�45<i>t n mile</i> 锛岃繖鏃惰鍐涜埌涓庢捣娓殑璺濈涓猴紙135-45<i>t</i>锛� <i>n mile</i> .</p>
+            <p>鎵�浠ワ紝鐢ㄨВ鏋愭硶鍙皢鍑芥暟<i>s</i>=<i>f</i>锛�<i>t</i>锛夎〃绀轰负</p>
+            <p class="center"><i>s</i>=-45<i>t</i>+135锛�0鈮�<i>t</i>鈮�3.</p>
+          </div>
+
         </div>
       </div>
     </div>
@@ -512,10 +683,11 @@
           <li>涓婂唽</li>
         </ul>
         <div class="padding-116">
-          <p>鍙堝洜涓鸿鍐涜埌鍑哄彂<i>t</i>锛�<i>h</i>锛夊悗锛岃椹剁殑璺▼涓�45<i>t n mile</i> 锛岃繖鏃惰鍐涜埌涓庢捣娓殑璺濈涓猴紙135-45<i>t</i>锛� <i>n mile</i> .</p>
-          <p>鎵�浠ワ紝鐢ㄨВ鏋愭硶鍙皢鍑芥暟<i>s</i>=<i>f</i>锛�<i>t</i>锛夎〃绀轰负</p>
-          <p class="center"><i>s</i>=-45<i>t</i>+135锛�0鈮�<i>t</i>鈮�3.</p>
-          <p>锛�2锛� 鍑芥暟<i>s</i>=<i>f</i>锛�<i>t</i>锛夋槸涓�娆″嚱鏁帮紝鐢ㄥ浘鍍忔硶鍙皢鍑芥暟琛ㄧず涓哄浘3-5.</p>
+          <div v-if="isShowAnswer12" >
+            <p>锛�2锛� 鍑芥暟<i>s</i>=<i>f</i>锛�<i>t</i>锛夋槸涓�娆″嚱鏁帮紝鐢ㄥ浘鍍忔硶鍙皢鍑芥暟琛ㄧず涓哄浘3-5.</p>
+            <p class="center"><img class="img-c" alt="" src="../../assets/images/0088-3.jpg" /></p>
+            <p class="img">鍥�3-5</p>
+          </div>
           <div class="bk-hzjl">
             <div class="bj1-hzjl">
               <p class="left"><img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" /></p>
@@ -717,7 +889,18 @@
                 <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
               </mrow>
             </math></p>
-          <p>锛�1锛� 姹�<i>f</i>锛�-5锛夛紝<i>f</i>锛�4锛夌殑鍊硷紱</p>
+          <p class="p-btn" >
+            <span>
+              锛�1锛� 姹�<i>f</i>锛�-5锛夛紝<i>f</i>锛�4锛夌殑鍊硷紱
+            </span>
+            <span class="btn-box" @click="isShowAnswer13 = !isShowAnswer13">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
         </div>
       </div>
     </div>
@@ -730,7 +913,16 @@
           <li>涓婂唽</li>
         </ul>
         <div class="padding-116">
-          <p>锛�2锛� 姹�<i>f</i>锛�<i>f</i>锛�-1锛夛級鐨勫��.</p>
+          <p class="p-btn" >
+            <span>锛�2锛� 姹�<i>f</i>锛�<i>f</i>锛�-1锛夛級鐨勫��.</span>
+            <span class="btn-box" @click="isShowAnswer14 = !isShowAnswer14">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
           <div class="bk">
             <div class="bj1">
               <p class="left"><img class="img-gn1" alt="" src="../../assets/images/tbts.jpg" /></p>
@@ -739,89 +931,128 @@
               鍒嗘鍑芥暟鏄竴涓嚱鏁帮紝涓嶈兘鎶婂畠鐪嬫垚鍑犱釜鍑芥暟锛屽彧鏄湪鍚屼竴涓嚱鏁扮殑瀹氫箟鍩熷唴锛屼笉鍚岀殑鍙栧�艰寖鍥村唴瀵瑰簲涓嶅悓鐨勫嚱鏁板叧绯�.瀹冪殑瀹氫箟鍩熸槸鍚勪釜瑙f瀽寮忕殑鑷彉閲忓彇鍊奸泦鍚堢殑骞堕泦锛屽�煎煙涔熸槸鍚勪釜瑙f瀽寮忕殑鍑芥暟鍊奸泦鍚堢殑骞堕泦.瀹冪殑鍥惧儚涔熸瘮杈冪壒娈婏紝鏈夋椂鍥惧儚鏄笉杩炵画鐨�.
             </p>
           </div>
-          <p><span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍥犱负-5锛�0锛屾墍浠�<i>f</i>锛�-5锛�=-5+2=-3.</p>
-          <p>鍥犱负4锛�0锛屾墍浠� <i>f</i>锛�4锛�=4<sup>2</sup>-3=13.</p>
-          <p>锛�2锛� 鍥犱负-1锛�0锛屾墍浠�<i>f</i>锛�-1锛�=-1+2=1.</p>
-          <p>鍙堝洜涓�1锛�0锛屾墍浠�<i>f</i>锛�<i>f</i>锛�-1锛夛級=<i>f</i>锛�1锛�=1<sup>2</sup>-3=-2.</p>
-          <p><span
+          <div v-if="isShowAnswer13" >
+            <p><span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍥犱负-5锛�0锛屾墍浠�<i>f</i>锛�-5锛�=-5+2=-3.</p>
+            <p>鍥犱负4锛�0锛屾墍浠� <i>f</i>锛�4锛�=4<sup>2</sup>-3=13.</p>
+          </div>
+          <div v-if="isShowAnswer14">
+            <p>锛�2锛� 鍥犱负-1锛�0锛屾墍浠�<i>f</i>锛�-1锛�=-1+2=1.</p>
+            <p>鍙堝洜涓�1锛�0锛屾墍浠�<i>f</i>锛�<i>f</i>锛�-1锛夛級=<i>f</i>锛�1锛�=1<sup>2</sup>-3=-2.</p>
+          </div>
+          <p>
+            <span
               class="zt-ls"><b>渚�2</b></span>銆�鎴戝浗鏄敤鐢甸噺鏈�澶х殑鍥藉锛屽浗瀹跺彂鍑鸿妭鑳藉噺鎺掔殑鍙峰彫锛岄紦鍔卞眳姘戣妭绾︾敤鐢碉紝2019骞村浗瀹跺灞呮皯姣忔湀鐢ㄧ數閲忚繘琛屽垝鍒嗭紝鐢典环鏂借鈥滃垎妗i�掑鈥�.鏌愬煄甯傚眳姘戞瘡鏈堢敤鐢佃璐逛环鏍煎琛�3-7鎵�绀�.鍋囪杩欎釜鍩庡競鐨勬煇灞呮皯鏌愭湀鐢ㄧ數閲忔槸<i>x</i>锛坘W路h锛夛紝闇�鏀粯鐢佃垂<i>y</i>锛堝厓锛�.
+            <span class="btn-box" @click="openDialog(thinkFour)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.545" height="18.112" viewBox="0 0 20.545 22.112">
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-          <p>锛�1锛� 鐢ㄨВ鏋愭硶琛ㄧず<i>y</i>涓�<i>x</i>鐨勫嚱鏁板叧绯伙紝骞剁敾鍑哄嚱鏁扮殑鍥惧儚.</p>
-          <p>锛�2锛� 濡傛灉鏉庢煇瀹�10鏈堢殑鐢ㄧ數閲忔槸180 kW路h 锛岄偅涔堜粬瀹跺簲璇ユ敮浠樼數璐瑰灏戯紵</p>
-          <p>锛�3锛� 濡傛灉鍛ㄦ煇瀹�12鏈堟敮浠樼數璐�294.26鍏冿紝閭d箞浠栧杩欎釜鏈堢殑鐢ㄧ數閲忔槸澶氬皯锛�</p>
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+          <p class="p-btn" >
+            <span>锛�1锛� 鐢ㄨВ鏋愭硶琛ㄧず<i>y</i>涓�<i>x</i>鐨勫嚱鏁板叧绯伙紝骞剁敾鍑哄嚱鏁扮殑鍥惧儚.</span>
+            <span class="btn-box" @click="isShowAnswer15 = !isShowAnswer15">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
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-          <p>褰�0鈮�<i>x</i>鈮�200鏃讹紝<i>y</i>涓�<i>x</i>鐨勫搴斿叧绯绘槸<i>y</i>=0.52<i>x</i>锛�</p>
-          <p>褰�200锛�<i>x</i>鈮�400鏃讹紝<i>y</i>涓�<i>x</i>鐨勫搴斿叧绯绘槸</p>
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-          <p class="center"><img class="img-c" alt="" src="../../assets/images/0092-1.jpg" /></p>
-          <p class="img">鍥�3-7</p>
+          <p class="p-btn" >
+            <span>锛�2锛� 濡傛灉鏉庢煇瀹�10鏈堢殑鐢ㄧ數閲忔槸180 kW路h 锛岄偅涔堜粬瀹跺簲璇ユ敮浠樼數璐瑰灏戯紵</span>
+            <span class="btn-box" @click="isShowAnswer16 = !isShowAnswer16">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <p class="p-btn" >
+            <span>锛�3锛� 濡傛灉鍛ㄦ煇瀹�12鏈堟敮浠樼數璐�294.26鍏冿紝閭d箞浠栧杩欎釜鏈堢殑鐢ㄧ數閲忔槸澶氬皯锛�</span>
+            <span class="btn-box" @click="isShowAnswer17 = !isShowAnswer17">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <div v-if="isShowAnswer15" >
+            <p><span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍑芥暟<i>y</i>=<i>f</i>锛�<i>x</i>锛夌殑瀹氫箟鍩熸槸{<i>x</i>|<i>x</i>鈮�0}.</p>
+            <p>褰�0鈮�<i>x</i>鈮�200鏃讹紝<i>y</i>涓�<i>x</i>鐨勫搴斿叧绯绘槸<i>y</i>=0.52<i>x</i>锛�</p>
+            <p>褰�200锛�<i>x</i>鈮�400鏃讹紝<i>y</i>涓�<i>x</i>鐨勫搴斿叧绯绘槸</p>
+            <p class="center"><i>y</i>=0.52脳200+0.57锛�<i>x</i>-200锛�=0.57<i>x</i>-10锛�</p>
+            <p>褰�<i>x</i>锛�400鏃讹紝<i>y</i>涓�<i>x</i>鐨勫搴斿叧绯绘槸</p>
+            <p><i>y</i>=0.52脳200+0.57脳200+0.82锛�<i>x</i>-400锛�=0.82<i>x</i>-110.</p>
+            <p>鐢ㄨВ鏋愭硶琛ㄧず<i>y</i>涓�<i>x</i>鐨勫嚱鏁板叧绯诲涓�.</p>
+            <math display="block">
+              <mi>y</mi>
+              <mo>=</mo>
+              <mrow data-mjx-texclass="INNER">
+                <mo data-mjx-texclass="OPEN">{</mo>
+                <mtable columnspacing="1em" rowspacing="4pt">
+                  <mtr>
+                    <mtd>
+                      <mn>0.52</mn>
+                      <mi>x</mi>
+                      <mo>锛�</mo>
+                      <mn>0</mn>
+                      <mo>鈮�</mo>
+                      <mi>x</mi>
+                      <mo>鈮�</mo>
+                      <mn>200</mn>
+                      <mo>锛�</mo>
+                    </mtd>
+                    <mtd></mtd>
+                    <mtd></mtd>
+                    <mtd></mtd>
+                  </mtr>
+                  <mtr>
+                    <mtd>
+                      <mn>0.57</mn>
+                      <mi>x</mi>
+                      <mo>鈭�</mo>
+                      <mn>10</mn>
+                      <mo>锛�</mo>
+                      <mn>200</mn>
+                      <mo>锛�</mo>
+                      <mi>x</mi>
+                      <mo>鈮�</mo>
+                      <mn>400</mn>
+                      <mo>锛�</mo>
+                    </mtd>
+                    <mtd></mtd>
+                    <mtd></mtd>
+                    <mtd></mtd>
+                  </mtr>
+                  <mtr>
+                    <mtd>
+                      <mn>0.82</mn>
+                      <mi>x</mi>
+                      <mo>鈭�</mo>
+                      <mn>110</mn>
+                      <mo>锛�</mo>
+                      <mi>x</mi>
+                      <mo>锛�</mo>
+                      <mn>400.</mn>
+                    </mtd>
+                    <mtd></mtd>
+                    <mtd></mtd>
+                    <mtd></mtd>
+                  </mtr>
+                </mtable>
+                <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+              </mrow>
+            </math>
+            <p class="center"><img class="img-c" alt="" src="../../assets/images/0092-1.jpg" /></p>
+            <p class="img">鍥�3-7</p>
+            <p>杩欎釜鍑芥暟鐨勫浘鍍忓鍥�3-7鎵�绀�.</p>
+          </div>
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-          <p>杩欎釜鍑芥暟鐨勫浘鍍忓鍥�3-7鎵�绀�.</p>
-          <p>锛�2锛� 鍥犱负<i>x</i>=180锛�200锛�<i>y</i>=0.52脳180=93.60锛堝厓锛�.</p>
-          <p>鎵�浠ワ紝鏉庢煇瀹�10鏈堝簲璇ユ敮浠樼數璐�93.60鍏�.</p>
-          <p>锛�3锛� 鍛ㄦ煇瀹剁數璐规槸294.26鍏冿紝鐢卞浘3-7鍙及寰�<i>x</i>锛�400锛屽洜姝�</p>
-          <p class="center">0.82<i>x</i>-110=294.26锛�</p>
-          <p>瑙e緱<i>x</i>=493.</p>
-          <p>鎵�浠ワ紝鍛ㄦ煇瀹�12鏈堢殑鐢ㄧ數閲忎负493 kW路h .</p>
+          <div v-if="isShowAnswer16" >
+            <p>锛�2锛� 鍥犱负<i>x</i>=180锛�200锛�<i>y</i>=0.52脳180=93.60锛堝厓锛�.</p>
+            <p>鎵�浠ワ紝鏉庢煇瀹�10鏈堝簲璇ユ敮浠樼數璐�93.60鍏�.</p>
+          </div>
+          <div v-if="isShowAnswer17" >
+            <p>锛�3锛� 鍛ㄦ煇瀹剁數璐规槸294.26鍏冿紝鐢卞浘3-7鍙及寰�<i>x</i>锛�400锛屽洜姝�</p>
+            <p class="center">0.82<i>x</i>-110=294.26锛�</p>
+            <p>瑙e緱<i>x</i>=493.</p>
+            <p>鎵�浠ワ紝鍛ㄦ煇瀹�12鏈堢殑鐢ㄧ數閲忎负493 kW路h .</p>
+          </div>
           <div class="bk-hzjl">
             <div class="bj1-hzjl">
               <p class="left"><img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" /></p>
@@ -952,12 +1186,30 @@
             渚嬪锛屽浘3-8涓嚱鏁�<i>y</i>=<i>x</i>鏄�<b>R</b>涓婄殑澧炲嚱鏁帮紝鍖洪棿锛�-鈭烇紝+鈭烇級鏄嚱鏁�<i>y</i>=<i>x</i>鐨勫鍖洪棿锛涘嚱鏁�<i>y</i>=-<i>x</i>鏄�<b>R</b>涓婄殑鍑忓嚱鏁帮紝鍖洪棿锛�-鈭烇紝+鈭烇級鏄嚱鏁�<i>y</i>=-<i>x</i>鐨勫噺鍖洪棿锛涘嚱鏁�<i>y</i>=<i>x</i><sup>2</sup>鍦ㄥ尯闂达紙-鈭烇紝0锛変笂鏄噺鍑芥暟锛屽湪鍖洪棿锛�0锛�+鈭烇級涓婃槸澧炲嚱鏁帮紝鍖洪棿锛�-鈭烇紝0锛夊拰锛�0锛�+鈭烇級鍒嗗埆鏄嚱鏁�<i>y</i>=<i>x</i><sup>2</sup>鐨勫噺鍖洪棿銆佸鍖洪棿.
           </p>
           <p><span class="zt-ls"><b>渚�1</b></span>銆�鍥�3-11鏄嚱鏁�<i>y</i>=<i>f</i>锛�<i>x</i>锛夛紝<i>x</i>鈭堬蓟-1锛�8锛界殑鍥惧儚锛屾牴鎹浘鍍忓洖绛斾笅鍒楅棶棰�.</p>
-          <p>锛�1锛� 褰�<i>x</i>鍙栦綍鍊兼椂锛屽嚱鏁板�兼渶澶э紝鏈�澶у�兼槸澶氬皯锛熷綋<i>x</i>鍙栦綍鍊兼椂锛屽嚱鏁板�兼渶灏忥紝鏈�灏忓�兼槸澶氬皯锛�</p>
-          <p>锛�2锛� 璇存槑璇ュ嚱鏁扮殑鍗曡皟鍖洪棿鍙婂湪姣忎竴涓尯闂翠笂鐨勫崟璋冩��.</p>
+          <p  class="p-btn" >
+            <span>锛�1锛� 褰�<i>x</i>鍙栦綍鍊兼椂锛屽嚱鏁板�兼渶澶э紝鏈�澶у�兼槸澶氬皯锛熷綋<i>x</i>鍙栦綍鍊兼椂锛屽嚱鏁板�兼渶灏忥紝鏈�灏忓�兼槸澶氬皯锛�</span>
+            <span class="btn-box" @click="isShowAnswer18 = !isShowAnswer18">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <p class="p-btn" >
+            <span>锛�2锛� 璇存槑璇ュ嚱鏁扮殑鍗曡皟鍖洪棿鍙婂湪姣忎竴涓尯闂翠笂鐨勫崟璋冩��.</span>
+            <span class="btn-box" @click="isShowAnswer19 = !isShowAnswer19">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
           <p class="center"><img class="img-c" alt="" src="../../assets/images/0097-3.jpg" /></p>
           <p class="img">鍥�3-11</p>
-          <p><span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鐢卞浘鍙煡锛屽綋<i>x</i>=2鏃讹紝鍑芥暟鍊兼渶澶э紝鏈�澶у�兼槸3锛涘綋<i>x</i>=6鏃讹紝鍑芥暟鍊兼渶灏忥紝鏈�灏忓�兼槸-3.</p>
-          <p>锛�2锛�
+          <p v-if="isShowAnswer18" ><span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鐢卞浘鍙煡锛屽綋<i>x</i>=2鏃讹紝鍑芥暟鍊兼渶澶э紝鏈�澶у�兼槸3锛涘綋<i>x</i>=6鏃讹紝鍑芥暟鍊兼渶灏忥紝鏈�灏忓�兼槸-3.</p>
+          <p v-if="isShowAnswer19" >锛�2锛�
             鍑芥暟<i>y</i>=<i>f</i>锛�<i>x</i>锛夌殑鍗曡皟鍖洪棿鏈夛蓟-1锛�2锛斤紝锛�2锛�6锛斤紝锛�6锛�8锛�.鍑芥暟<i>y</i>=<i>f</i>锛�<i>x</i>锛夊湪鍖洪棿锛�-1锛�2锛藉拰锛�6锛�8锛戒笂閮芥槸澧炲嚱鏁帮紝鍦ㄥ尯闂达蓟2锛�6锛戒笂鏄噺鍑芥暟.
           </p>
         </div>
@@ -979,24 +1231,47 @@
           <p class="img">鍥�3-12</p>
           <p><span class="zt-ls"><b>渚�2</b></span>銆�浜屾鍑芥暟<i>f</i>锛�<i>x</i>锛�=-<i>x</i><sup>2</sup>+2<i>x</i>+3鐨勫浘鍍忓鍥�3-12鎵�绀�.
           </p>
-          <p>锛�1锛� 姹傚嚱鏁�<i>f</i>锛�<i>x</i>锛夌殑瀵圭О杞存柟绋嬨�侀《鐐瑰潗鏍囷紱</p>
-          <p>锛�2锛� 鎵惧嚭鍑芥暟<i>f</i>锛�<i>x</i>锛夌殑鍗曡皟鍖洪棿锛�</p>
-          <p>锛�3锛� 褰�<i>x</i>鈭堬蓟2锛�5锛芥椂锛屾眰鍑芥暟<i>f</i>锛�<i>x</i>锛夌殑鏈�澶у�煎拰鏈�灏忓��.</p>
-          <p><span class="zt-ls"><b>瑙�</b></span>锛�1锛� 浜屾鍑芥暟<i>y</i>=<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>鐨勫绉拌酱鏂圭▼鏄�<math
-              display="0">
-              <mi>x</mi>
-              <mo>=</mo>
-              <mfrac>
-                <mi>b</mi>
-                <mrow>
-                  <mn>2</mn>
-                  <mi>a</mi>
-                </mrow>
-              </mfrac>
-            </math>锛岄《鐐瑰潗鏍囨槸<math display="0">
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
-                <mo>鈭�</mo>
+          <p class="p-btn" >
+            <span>锛�1锛� 姹傚嚱鏁�<i>f</i>锛�<i>x</i>锛夌殑瀵圭О杞存柟绋嬨�侀《鐐瑰潗鏍囷紱</span>
+            <span class="btn-box" @click="isShowAnswer20 = !isShowAnswer20">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <p class="p-btn" >
+            <span>锛�2锛� 鎵惧嚭鍑芥暟<i>f</i>锛�<i>x</i>锛夌殑鍗曡皟鍖洪棿锛�</span>
+            <span class="btn-box" @click="isShowAnswer21 = !isShowAnswer21">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <p class="p-btn" >
+            <span>锛�3锛� 褰�<i>x</i>鈭堬蓟2锛�5锛芥椂锛屾眰鍑芥暟<i>f</i>锛�<i>x</i>锛夌殑鏈�澶у�煎拰鏈�灏忓��.</span>
+            <span class="btn-box" @click="isShowAnswer22 = !isShowAnswer22">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <div class="bk">
+            <div class="bj1">
+              <p class="left"><img class="img-gn1" alt="" src="../../assets/images/tbts.jpg" /></p>
+            </div>
+            <p class="block">鍑芥暟鐨勫崟璋冩�ф槸瀵瑰畾涔夊煙鍐呮煇涓尯闂磋�岃█鐨�.涓�涓嚱鏁板湪鍏跺畾涔夊煙涓婁笉涓�瀹氬叿鏈夊崟璋冩�э紝浣嗘槸鍦ㄥ畾涔夊煙鍐呯殑瀛愬尯闂翠笂鍙兘鍏锋湁鍗曡皟鎬э紝杩欏氨鏄嚱鏁板崟璋冩�х殑灞�閮ㄦ�ц川.</p>
+          </div>
+          <div v-if="isShowAnswer20" >
+            <p><span class="zt-ls"><b>瑙�</b></span>锛�1锛� 浜屾鍑芥暟<i>y</i>=<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>鐨勫绉拌酱鏂圭▼鏄�<math
+                display="0">
+                <mi>x</mi>
+                <mo>=</mo>
                 <mfrac>
                   <mi>b</mi>
                   <mrow>
@@ -1004,32 +1279,9 @@
                     <mi>a</mi>
                   </mrow>
                 </mfrac>
-                <mo>锛�</mo>
-                <mfrac>
-                  <mrow>
-                    <mn>4</mn>
-                    <mi>a</mi>
-                    <mi>c</mi>
-                    <mo>鈭�</mo>
-                    <msup>
-                      <mi>b</mi>
-                      <mrow>
-                        <mn>2</mn>
-                      </mrow>
-                    </msup>
-                  </mrow>
-                  <mrow>
-                    <mn>4</mn>
-                    <mi>a</mi>
-                  </mrow>
-                </mfrac>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-            </math>锛屽垯</p>
-          <math display="block">
-            <mtable columnalign="left" columnspacing="1em" rowspacing="4pt">
-              <mtr>
-                <mtd>
+              </math>锛岄《鐐瑰潗鏍囨槸<math display="0">
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
                   <mo>鈭�</mo>
                   <mfrac>
                     <mi>b</mi>
@@ -1038,25 +1290,7 @@
                       <mi>a</mi>
                     </mrow>
                   </mfrac>
-                  <mo>=</mo>
-                  <mo>鈭�</mo>
-                  <mfrac>
-                    <mn>2</mn>
-                    <mrow>
-                      <mn>2</mn>
-                      <mo>脳</mo>
-                      <mo stretchy="false">(</mo>
-                      <mo>鈭�</mo>
-                      <mn>1</mn>
-                      <mo stretchy="false">)</mo>
-                    </mrow>
-                  </mfrac>
-                  <mo>=</mo>
-                  <mn>1锛�</mn>
-                </mtd>
-              </mtr>
-              <mtr>
-                <mtd>
+                  <mo>锛�</mo>
                   <mfrac>
                     <mrow>
                       <mn>4</mn>
@@ -1075,69 +1309,132 @@
                       <mi>a</mi>
                     </mrow>
                   </mfrac>
-                  <mo>=</mo>
-                  <mfrac>
-                    <mrow>
-                      <mn>4</mn>
-                      <mo>脳</mo>
-                      <mo stretchy="false">(</mo>
-                      <mo>鈭�</mo>
-                      <mn>1</mn>
-                      <mo stretchy="false">)</mo>
-                      <mo>脳</mo>
-                      <mn>3</mn>
-                      <mo>鈭�</mo>
-                      <msup>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+              </math>锛屽垯</p>
+            <math display="block">
+              <mtable columnalign="left" columnspacing="1em" rowspacing="4pt">
+                <mtr>
+                  <mtd>
+                    <mo>鈭�</mo>
+                    <mfrac>
+                      <mi>b</mi>
+                      <mrow>
                         <mn>2</mn>
-                        <mrow>
+                        <mi>a</mi>
+                      </mrow>
+                    </mfrac>
+                    <mo>=</mo>
+                    <mo>鈭�</mo>
+                    <mfrac>
+                      <mn>2</mn>
+                      <mrow>
+                        <mn>2</mn>
+                        <mo>脳</mo>
+                        <mo stretchy="false">(</mo>
+                        <mo>鈭�</mo>
+                        <mn>1</mn>
+                        <mo stretchy="false">)</mo>
+                      </mrow>
+                    </mfrac>
+                    <mo>=</mo>
+                    <mn>1锛�</mn>
+                  </mtd>
+                </mtr>
+                <mtr>
+                  <mtd>
+                    <mfrac>
+                      <mrow>
+                        <mn>4</mn>
+                        <mi>a</mi>
+                        <mi>c</mi>
+                        <mo>鈭�</mo>
+                        <msup>
+                          <mi>b</mi>
+                          <mrow>
+                            <mn>2</mn>
+                          </mrow>
+                        </msup>
+                      </mrow>
+                      <mrow>
+                        <mn>4</mn>
+                        <mi>a</mi>
+                      </mrow>
+                    </mfrac>
+                    <mo>=</mo>
+                    <mfrac>
+                      <mrow>
+                        <mn>4</mn>
+                        <mo>脳</mo>
+                        <mo stretchy="false">(</mo>
+                        <mo>鈭�</mo>
+                        <mn>1</mn>
+                        <mo stretchy="false">)</mo>
+                        <mo>脳</mo>
+                        <mn>3</mn>
+                        <mo>鈭�</mo>
+                        <msup>
                           <mn>2</mn>
-                        </mrow>
-                      </msup>
-                    </mrow>
-                    <mrow>
-                      <mn>4</mn>
-                      <mo>脳</mo>
-                      <mo stretchy="false">(</mo>
-                      <mo>鈭�</mo>
-                      <mn>1</mn>
-                      <mo stretchy="false">)</mo>
-                    </mrow>
-                  </mfrac>
-                  <mo>=</mo>
-                  <mn>4</mn>
-                  <mo>.</mo>
-                </mtd>
-              </mtr>
-            </mtable>
-          </math>
-          <p>鍥犳锛屽嚱鏁�<i>f</i>锛�<i>x</i>锛夌殑瀵圭О杞存柟绋嬫槸<i>x</i>=1锛岄《鐐瑰潗鏍囨槸锛�1锛�4锛�.</p>
-          <div class="bk">
-            <div class="bj1">
-              <p class="left"><img class="img-gn1" alt="" src="../../assets/images/tbts.jpg" /></p>
-            </div>
-            <p class="block">鍑芥暟鐨勫崟璋冩�ф槸瀵瑰畾涔夊煙鍐呮煇涓尯闂磋�岃█鐨�.涓�涓嚱鏁板湪鍏跺畾涔夊煙涓婁笉涓�瀹氬叿鏈夊崟璋冩�э紝浣嗘槸鍦ㄥ畾涔夊煙鍐呯殑瀛愬尯闂翠笂鍙兘鍏锋湁鍗曡皟鎬э紝杩欏氨鏄嚱鏁板崟璋冩�х殑灞�閮ㄦ�ц川.</p>
+                          <mrow>
+                            <mn>2</mn>
+                          </mrow>
+                        </msup>
+                      </mrow>
+                      <mrow>
+                        <mn>4</mn>
+                        <mo>脳</mo>
+                        <mo stretchy="false">(</mo>
+                        <mo>鈭�</mo>
+                        <mn>1</mn>
+                        <mo stretchy="false">)</mo>
+                      </mrow>
+                    </mfrac>
+                    <mo>=</mo>
+                    <mn>4</mn>
+                    <mo>.</mo>
+                  </mtd>
+                </mtr>
+              </mtable>
+            </math>
+            <p>鍥犳锛屽嚱鏁�<i>f</i>锛�<i>x</i>锛夌殑瀵圭О杞存柟绋嬫槸<i>x</i>=1锛岄《鐐瑰潗鏍囨槸锛�1锛�4锛�.</p>
           </div>
-          <p>锛�2锛� 鐢卞浘鍍忓彲鐭ワ紝鍑芥暟<i>f</i>锛�<i>x</i>锛夌殑澧炲尯闂存槸锛�-鈭烇紝1锛斤紝鍑忓尯闂存槸锛�1锛�+鈭烇級.</p>
-          <p>锛�3锛� 鍥犱负锛�2锛�5锛解珛锛�1锛�+鈭烇級锛屼笖鍑芥暟鍦ㄥ尯闂达蓟1锛�+鈭烇級涓婃槸鍑忓嚱鏁帮紝鎵�浠ュ綋<i>x</i>鈭堬蓟2锛�5锛芥椂锛�</p>
-          <p>鍑芥暟<i>f</i>锛�<i>x</i>锛夌殑鏈�澶у�兼槸<i>f</i>锛�2锛�=-2<sup>2</sup>+2脳2+3=3锛�</p>
-          <p>鍑芥暟<i>f</i>锛�<i>x</i>锛夌殑鏈�灏忓�兼槸<i>f</i>锛�5锛�=-5<sup>2</sup>+2脳5+3=-12.</p>
-          <p><span class="zt-ls"><b>渚�3</b></span>銆�鍒ゆ柇鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>x</i>+1鍦紙-鈭烇紝+鈭烇級涓婄殑鍗曡皟鎬�.</p>
-          <p><span class="zt-ls"><b>瑙�</b></span>
-            浠诲彇<i>x</i><sub>1</sub>锛�<i>x</i><sub>2</sub>鈭堬紙-鈭烇紝+鈭烇級锛屼笖<i>x</i><sub>1</sub>锛�<i>x</i><sub>2</sub>锛岄偅涔�</p>
-          <p class="center">
-            <i>f</i>锛�<i>x</i><sub>1</sub>锛�=<i>x</i><sub>1</sub>+1锛�<i>f</i>锛�<i>x</i><sub>2</sub>锛�=<i>x</i><sub>2</sub>+1锛�
+          <p v-if="isShowAnswer21" >锛�2锛� 鐢卞浘鍍忓彲鐭ワ紝鍑芥暟<i>f</i>锛�<i>x</i>锛夌殑澧炲尯闂存槸锛�-鈭烇紝1锛斤紝鍑忓尯闂存槸锛�1锛�+鈭烇級.</p>
+          <div v-if="isShowAnswer22" >
+            <p>锛�3锛� 鍥犱负锛�2锛�5锛解珛锛�1锛�+鈭烇級锛屼笖鍑芥暟鍦ㄥ尯闂达蓟1锛�+鈭烇級涓婃槸鍑忓嚱鏁帮紝鎵�浠ュ綋<i>x</i>鈭堬蓟2锛�5锛芥椂锛�</p>
+            <p>鍑芥暟<i>f</i>锛�<i>x</i>锛夌殑鏈�澶у�兼槸<i>f</i>锛�2锛�=-2<sup>2</sup>+2脳2+3=3锛�</p>
+            <p>鍑芥暟<i>f</i>锛�<i>x</i>锛夌殑鏈�灏忓�兼槸<i>f</i>锛�5锛�=-5<sup>2</sup>+2脳5+3=-12.</p>
+          </div>
+          <p class="p-btn" >
+            <span>
+              <span class="zt-ls"><b>渚�3</b></span>銆�鍒ゆ柇鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>x</i>+1鍦紙-鈭烇紝+鈭烇級涓婄殑鍗曡皟鎬�.
+            </span>
+            <span class="btn-box" @click="isShowAnswer23 = !isShowAnswer23">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p>鍒�</p>
-          <p class="center">
-            <i>f</i>锛�<i>x</i><sub>1</sub>锛�-<i>f</i>锛�<i>x</i><sub>2</sub>锛�=<i>x</i><sub>1</sub>+1-<i>x</i><sub>2</sub>-1=<i>x</i><sub>1</sub>-<i>x</i><sub>2</sub>锛�0锛�
-          </p>
-          <p>
-            鎵�浠�<i>f</i>锛�<i>x</i><sub>1</sub>锛夛紲<i>f</i>锛�<i>x</i><sub>2</sub>锛夛紝鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>x</i>+1鍦紙-鈭烇紝+鈭烇級涓婃槸澧炲嚱鏁�.
-          </p>
-          <p>褰�<i>k</i>锛�0鏃讹紝鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>kx</i>+<i>b</i>鍦ㄥ尯闂达紙-鈭烇紝+鈭烇級涓婃槸澧炲嚱鏁帮紝濡傚浘3-13锛�1锛�
-            鎵�绀猴紱褰�<i>k</i>锛�0鏃讹紝鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>kx</i>+<i>b</i>鍦ㄥ尯闂达紙-鈭烇紝+鈭烇級涓婃槸鍑忓嚱鏁帮紝濡傚浘3-13锛�2锛� 鎵�绀�.</p>
-          <p class="center"><img class="img-b" alt="" src="../../assets/images/0098-5.jpg" /></p>
-          <p class="img">鍥�3-13</p>
+          <iframe src="https://www.geogebra.org/calculator" frameborder="0" class="iframe-box"></iframe>
+          <div v-if="isShowAnswer23" >
+            <p><span class="zt-ls"><b>瑙�</b></span>
+              浠诲彇<i>x</i><sub>1</sub>锛�<i>x</i><sub>2</sub>鈭堬紙-鈭烇紝+鈭烇級锛屼笖<i>x</i><sub>1</sub>锛�<i>x</i><sub>2</sub>锛岄偅涔�</p>
+            <p class="center">
+              <i>f</i>锛�<i>x</i><sub>1</sub>锛�=<i>x</i><sub>1</sub>+1锛�<i>f</i>锛�<i>x</i><sub>2</sub>锛�=<i>x</i><sub>2</sub>+1锛�
+            </p>
+            <p>鍒�</p>
+            <p class="center">
+              <i>f</i>锛�<i>x</i><sub>1</sub>锛�-<i>f</i>锛�<i>x</i><sub>2</sub>锛�=<i>x</i><sub>1</sub>+1-<i>x</i><sub>2</sub>-1=<i>x</i><sub>1</sub>-<i>x</i><sub>2</sub>锛�0锛�
+            </p>
+            <p>
+              鎵�浠�<i>f</i>锛�<i>x</i><sub>1</sub>锛夛紲<i>f</i>锛�<i>x</i><sub>2</sub>锛夛紝鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>x</i>+1鍦紙-鈭烇紝+鈭烇級涓婃槸澧炲嚱鏁�.
+            </p>
+            <p>褰�<i>k</i>锛�0鏃讹紝鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>kx</i>+<i>b</i>鍦ㄥ尯闂达紙-鈭烇紝+鈭烇級涓婃槸澧炲嚱鏁帮紝濡傚浘3-13锛�1锛�
+              鎵�绀猴紱褰�<i>k</i>锛�0鏃讹紝鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>kx</i>+<i>b</i>鍦ㄥ尯闂达紙-鈭烇紝+鈭烇級涓婃槸鍑忓嚱鏁帮紝濡傚浘3-13锛�2锛� 鎵�绀�.</p>
+            <p class="center"><img class="img-b" alt="" src="../../assets/images/0098-5.jpg" /></p>
+            <p class="img">鍥�3-13</p>
+          </div>
         </div>
       </div>
     </div>
@@ -1315,17 +1612,20 @@
             <img class="img-c" alt="" src="../../assets/images/0102-1.jpg" style="width: 40%" />
           </p>
           <p class="img">鍥�3-17</p>
-          <p v-if="isShowExampleTwo">
-            <span class="zt-ls"><b>瑙�</b></span>
-            鍑芥暟<i>f</i>锛�<i>x</i>锛�=|<i>x</i>|+1鐨勫畾涔夊煙鏄紙-鈭烇紝+鈭烇級锛屽洜涓哄畠鏄伓鍑芥暟锛屾墍浠ユ牴鎹叾鍥惧儚鍏充簬<i>y</i>杞村绉扮殑鐗圭偣锛屽嵆鍙敾鍑鸿繖涓嚱鏁板湪<i>x</i>鈭堬紙-鈭烇紝0锛戒笂鐨勫浘鍍�.
-          </p>
-          <p>
-            濡傚浘3-18鎵�绀猴紝鍦�<i>y</i>杞村彸杈圭殑鍥惧儚涓婂彇涓ょ偣<i>A</i>鍜�<i>B</i>锛屽垎鍒敾鍑哄畠浠叧浜�<i>y</i>杞村绉扮殑鐐�<i>A</i>鈥插拰<i>B</i>鈥诧紝鐒跺悗杩炵嚎<i>A</i>鈥�<i>B</i>鈥诧紝灏卞緱鍒拌繖涓嚱鏁扮殑鍥惧儚鍦�<i>y</i>杞村乏杈圭殑閮ㄥ垎.
-          </p>
-          <p class="center openImgBox">
-            <img class="img-c" alt="" src="../../assets/images/0102-2.jpg" style="width: 40%" />
-          </p>
-          <p class="img">鍥�3-18</p>
+          <iframe src="https://www.geogebra.org/calculator" frameborder="0" class="iframe-box"></iframe>
+          <div v-if="isShowExampleTwo">
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>
+              鍑芥暟<i>f</i>锛�<i>x</i>锛�=|<i>x</i>|+1鐨勫畾涔夊煙鏄紙-鈭烇紝+鈭烇級锛屽洜涓哄畠鏄伓鍑芥暟锛屾墍浠ユ牴鎹叾鍥惧儚鍏充簬<i>y</i>杞村绉扮殑鐗圭偣锛屽嵆鍙敾鍑鸿繖涓嚱鏁板湪<i>x</i>鈭堬紙-鈭烇紝0锛戒笂鐨勫浘鍍�.
+            </p>
+            <p>
+              濡傚浘3-18鎵�绀猴紝鍦�<i>y</i>杞村彸杈圭殑鍥惧儚涓婂彇涓ょ偣<i>A</i>鍜�<i>B</i>锛屽垎鍒敾鍑哄畠浠叧浜�<i>y</i>杞村绉扮殑鐐�<i>A</i>鈥插拰<i>B</i>鈥诧紝鐒跺悗杩炵嚎<i>A</i>鈥�<i>B</i>鈥诧紝灏卞緱鍒拌繖涓嚱鏁扮殑鍥惧儚鍦�<i>y</i>杞村乏杈圭殑閮ㄥ垎.
+            </p>
+            <p class="center openImgBox">
+              <img class="img-c" alt="" src="../../assets/images/0102-2.jpg" style="width: 40%" />
+            </p>
+            <p class="img">鍥�3-18</p>
+          </div>
           <div class="bk">
             <div class="bj1">
               <p class="left">
@@ -1349,24 +1649,11 @@
                     transform="translate(-3327.144 15329)" />
                 </svg>
               </span>
-              <span class="btn-box" @click="openThinkingDialog">
+              <span class="btn-box" @click="openDialog(thinkOne)">
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           <p class="center"><img class="img-f" alt="" src="../../assets/images/0105-1.jpg" /></p>
           <p class="img">鍥�3-20</p>
-          <p><span class="zt-ls"><b>渚�4</b></span>銆�鏍规嵁鍥�3-21涓嚱鏁扮殑鍥惧儚锛屽垽鏂摢浜涘嚱鏁版槸濂囧嚱鏁�.</p>
+          <p class="p-btn" >
+            <span>
+              <span class="zt-ls"><b>渚�4</b></span>銆�鏍规嵁鍥�3-21涓嚱鏁扮殑鍥惧儚锛屽垽鏂摢浜涘嚱鏁版槸濂囧嚱鏁�.
+            </span>
+            <span class="btn-box" @click="isShowAnswer24 = !isShowAnswer24">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
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+              </svg>
+            </span>
+          </p>
           <p class="center"><img class="img-b" alt="" src="../../assets/images/0105-2.jpg" /></p>
           <p class="img">鍥�3-21</p>
-          <p><span class="zt-ls"><b>瑙�</b></span> 鍦ㄥ洓涓嚱鏁板浘鍍忎腑锛屽浘3-21锛�1锛� 銆佸浘3-21锛�2锛� 鍜屽浘3-21锛�3锛� 鐨勫嚱鏁板浘鍍忓叧浜庡師鐐逛腑蹇冨绉帮紱鍥�3-21锛�4锛�
+          <p v-if="isShowAnswer24" ><span class="zt-ls"><b>瑙�</b></span> 鍦ㄥ洓涓嚱鏁板浘鍍忎腑锛屽浘3-21锛�1锛� 銆佸浘3-21锛�2锛� 鍜屽浘3-21锛�3锛� 鐨勫嚱鏁板浘鍍忓叧浜庡師鐐逛腑蹇冨绉帮紱鍥�3-21锛�4锛�
             鐨勫嚱鏁板浘鍍忎笉鏄叧浜庡師鐐逛腑蹇冨绉扮殑.鏍规嵁濂囧嚱鏁扮殑鍥惧儚鍏锋湁鍏充簬鍘熺偣涓績瀵圭О鐨勭壒鐐癸紝鍥�3-21锛�1锛� 銆佸浘3-21锛�2锛� 鍜屽浘3-21锛�3锛� 鐨勫嚱鏁版槸濂囧嚱鏁帮紝鍥�3-21锛�4锛� 鐨勫嚱鏁颁笉鏄鍑芥暟.</p>
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         <div class="padding-116">
-          <p><span class="zt-ls"><b>渚�5</b></span>銆�宸茬煡鍑芥暟<math display="0">
-              <mi>f</mi>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
-                <mi>x</mi>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-              <mo>=</mo>
-              <mfrac>
-                <mn>1</mn>
-                <mi>x</mi>
-              </mfrac>
-            </math>鍥惧儚鍦�<i>y</i>杞村彸杈圭殑閮ㄥ垎濡傚浘3-22鎵�绀�.璇曠敾鍑鸿繖涓嚱鏁板浘鍍忓湪<i>y</i>杞村乏杈圭殑閮ㄥ垎.</p>
-          <p><span class="zt-ls"><b>瑙�</b></span> 鍑芥暟<math display="0">
-              <mi>f</mi>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
-                <mi>x</mi>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-              <mo>=</mo>
-              <mfrac>
-                <mn>1</mn>
-                <mi>x</mi>
-              </mfrac>
-            </math>鐨勫畾涔夊煙鏄紙-鈭烇紝0锛夆埅锛�0+鈭烇級锛屽洜涓哄畠鏄鍑芥暟锛屾墍浠ユ牴鎹叾鍥惧儚鍏充簬鍘熺偣涓績瀵圭О鐨勭壒鐐癸紝鍗冲彲鐢诲嚭杩欎釜鍑芥暟鍦�<i>x</i>鈭堬紙-鈭烇紝0锛変笂鐨勫浘鍍�.</p>
-          <p>
-            濡傚浘3-23鎵�绀猴紝鍦�<i>y</i>杞村彸杈圭殑鍥惧儚涓婂彇涓変釜涓嶅悓鐐�<i>A</i>锛�<i>B</i>鍜�<i>C</i>锛屽苟鐢诲嚭瀹冧滑鍒嗗埆鍏充簬鍘熺偣瀵圭О鐨勭偣<i>A</i>鈥诧紝<i>B</i>鈥插拰<i>C</i>鈥诧紝鐒跺悗鎸夌浉鍚屾柟寮忕敤鍏夋粦鐨勬洸绾胯繛绾匡紝灏卞緱鍒拌繖涓嚱鏁扮殑鍥惧儚鍦�<i>y</i>杞村乏杈圭殑閮ㄥ垎.
+          <p class="p-btn" >
+            <span>
+              <span class="zt-ls"><b>渚�5</b></span>銆�宸茬煡鍑芥暟<math display="0">
+                <mi>f</mi>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mi>x</mi>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+                <mo>=</mo>
+                <mfrac>
+                  <mn>1</mn>
+                  <mi>x</mi>
+                </mfrac>
+              </math>鍥惧儚鍦�<i>y</i>杞村彸杈圭殑閮ㄥ垎濡傚浘3-22鎵�绀�.璇曠敾鍑鸿繖涓嚱鏁板浘鍍忓湪<i>y</i>杞村乏杈圭殑閮ㄥ垎.
+            </span>
+            <span class="btn-box" @click="isShowAnswer25 = !isShowAnswer25">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
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           <p class="img">鍥�3-22</p>
-          <p class="center"><img class="img-c" alt="" src="../../assets/images/0106-4.jpg" /></p>
-          <p class="img">鍥�3-23</p>
-          <p>涓庡伓鍑芥暟鐨勫垽瀹氭柟娉曠被浼硷紝闄や簡鍊熷姪鍑芥暟鐨勫浘鍍忔潵鍒ゆ柇鍑芥暟鏄笉鏄鍑芥暟锛屼篃鍙敤瀹氫箟鍒ゆ柇鍑芥暟鏄笉鏄鍑芥暟.</p>
+          <iframe src="https://www.geogebra.org/calculator" frameborder="0" class="iframe-box"></iframe>
+          <div v-if="isShowAnswer25" >
+            <p><span class="zt-ls"><b>瑙�</b></span> 鍑芥暟<math display="0">
+                <mi>f</mi>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mi>x</mi>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+                <mo>=</mo>
+                <mfrac>
+                  <mn>1</mn>
+                  <mi>x</mi>
+                </mfrac>
+              </math>鐨勫畾涔夊煙鏄紙-鈭烇紝0锛夆埅锛�0+鈭烇級锛屽洜涓哄畠鏄鍑芥暟锛屾墍浠ユ牴鎹叾鍥惧儚鍏充簬鍘熺偣涓績瀵圭О鐨勭壒鐐癸紝鍗冲彲鐢诲嚭杩欎釜鍑芥暟鍦�<i>x</i>鈭堬紙-鈭烇紝0锛変笂鐨勫浘鍍�.</p>
+            <p>
+              濡傚浘3-23鎵�绀猴紝鍦�<i>y</i>杞村彸杈圭殑鍥惧儚涓婂彇涓変釜涓嶅悓鐐�<i>A</i>锛�<i>B</i>鍜�<i>C</i>锛屽苟鐢诲嚭瀹冧滑鍒嗗埆鍏充簬鍘熺偣瀵圭О鐨勭偣<i>A</i>鈥诧紝<i>B</i>鈥插拰<i>C</i>鈥诧紝鐒跺悗鎸夌浉鍚屾柟寮忕敤鍏夋粦鐨勬洸绾胯繛绾匡紝灏卞緱鍒拌繖涓嚱鏁扮殑鍥惧儚鍦�<i>y</i>杞村乏杈圭殑閮ㄥ垎.
+            </p>
+            <p class="center"><img class="img-c" alt="" src="../../assets/images/0106-4.jpg" /></p>
+            <p class="img">鍥�3-23</p>
+            <p>涓庡伓鍑芥暟鐨勫垽瀹氭柟娉曠被浼硷紝闄や簡鍊熷姪鍑芥暟鐨勫浘鍍忔潵鍒ゆ柇鍑芥暟鏄笉鏄鍑芥暟锛屼篃鍙敤瀹氫箟鍒ゆ柇鍑芥暟鏄笉鏄鍑芥暟.</p>
+          </div>
           <p><span class="zt-ls"><b>渚�6</b></span>銆�鍒ゆ柇涓嬪垪鍑芥暟鏄笉鏄鍑芥暟.</p>
-          <p>锛�1锛� <i>f</i>锛�<i>x</i>锛�=<i>x</i><sup>3</sup>+<i>x</i>锛涳紙2锛� <math display="0">
+          <p class="p-btn" >
+            <span>锛�1锛� <i>f</i>锛�<i>x</i>锛�=<i>x</i><sup>3</sup>+<i>x</i>锛�</span>
+            <span class="btn-box" @click="isShowAnswer26 = !isShowAnswer26">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <p class="p-btn" >
+            <span>
+              锛�2锛� <math display="0">
+                <mi>f</mi>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mi>x</mi>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+                <mo>=</mo>
+                <mi>x</mi>
+                <mo>+</mo>
+                <mfrac>
+                  <mn>1</mn>
+                  <mi>x</mi>
+                </mfrac>
+              </math>锛�
+            </span>
+            <span class="btn-box" @click="isShowAnswer27 = !isShowAnswer27">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <p class="p-btn" >
+            <span>锛�3锛� <i>f</i>锛�<i>x</i>锛�=<i>x</i>+|<i>x</i>|.</span>
+            <span class="btn-box" @click="isShowAnswer28 = !isShowAnswer28">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <div v-if="isShowAnswer26" >
+            <p><span class="zt-ls"><b>瑙�</b></span>锛�1锛�
+              鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>x</i><sup>3</sup>+<i>x</i>鐨勫畾涔夊煙鏄�<b>R</b>锛屽浠绘剰<i>x</i>鈭�<b>R</b>锛岄兘鏈�-<i>x</i>鈭�<b>R</b>锛屼笖
+            </p>
+            <p class="center">
+              <i>f</i>锛�-<i>x</i>锛�=锛�-<i>x</i>锛�<sup>3</sup>+锛�-<i>x</i>锛�=-<i>x</i><sup>3</sup>-<i>x</i>=-锛�<i>x</i><sup>3</sup>+<i>x</i>锛�=-<i>f</i>锛�<i>x</i>锛�.
+            </p>
+            <p>鎵�浠ワ紝鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>x</i><sup>3</sup>+<i>x</i>鏄鍑芥暟.</p>
+          </div>
+          <div v-if="isShowAnswer27" >
+            <p>锛�2锛�
+              瑕佷娇鍑芥暟<i>f</i>锛�<i>x</i>锛夋湁鎰忎箟锛屽繀椤绘弧瓒�<i>x</i>鈮�0锛屾墍浠ュ嚱鏁�<i>f</i>锛�<i>x</i>锛夌殑瀹氫箟鍩熸槸<i>D</i>={<i>x</i>|<i>x</i>鈮�0}锛屽浠绘剰<i>x</i>鈭�<i>D</i>锛岄兘鏈�-<i>x</i>鈭�<i>D</i>锛屼笖
+            </p>
+            <math display="block">
               <mi>f</mi>
               <mrow data-mjx-texclass="INNER">
                 <mo data-mjx-texclass="OPEN">(</mo>
-                <mi>x</mi>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-              <mo>=</mo>
-              <mi>x</mi>
-              <mo>+</mo>
-              <mfrac>
-                <mn>1</mn>
-                <mi>x</mi>
-              </mfrac>
-            </math>锛涳紙3锛� <i>f</i>锛�<i>x</i>锛�=<i>x</i>+|<i>x</i>|.</p>
-          <p><span class="zt-ls"><b>瑙�</b></span>锛�1锛�
-            鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>x</i><sup>3</sup>+<i>x</i>鐨勫畾涔夊煙鏄�<b>R</b>锛屽浠绘剰<i>x</i>鈭�<b>R</b>锛岄兘鏈�-<i>x</i>鈭�<b>R</b>锛屼笖
-          </p>
-          <p class="center">
-            <i>f</i>锛�-<i>x</i>锛�=锛�-<i>x</i>锛�<sup>3</sup>+锛�-<i>x</i>锛�=-<i>x</i><sup>3</sup>-<i>x</i>=-锛�<i>x</i><sup>3</sup>+<i>x</i>锛�=-<i>f</i>锛�<i>x</i>锛�.
-          </p>
-          <p>鎵�浠ワ紝鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>x</i><sup>3</sup>+<i>x</i>鏄鍑芥暟.</p>
-          <p>锛�2锛�
-            瑕佷娇鍑芥暟<i>f</i>锛�<i>x</i>锛夋湁鎰忎箟锛屽繀椤绘弧瓒�<i>x</i>鈮�0锛屾墍浠ュ嚱鏁�<i>f</i>锛�<i>x</i>锛夌殑瀹氫箟鍩熸槸<i>D</i>={<i>x</i>|<i>x</i>鈮�0}锛屽浠绘剰<i>x</i>鈭�<i>D</i>锛岄兘鏈�-<i>x</i>鈭�<i>D</i>锛屼笖
-          </p>
-          <math display="block">
-            <mi>f</mi>
-            <mrow data-mjx-texclass="INNER">
-              <mo data-mjx-texclass="OPEN">(</mo>
-              <mo>鈭�</mo>
-              <mi>x</mi>
-              <mo data-mjx-texclass="CLOSE">)</mo>
-            </mrow>
-            <mo>=</mo>
-            <mo>鈭�</mo>
-            <mi>x</mi>
-            <mo>+</mo>
-            <mfrac>
-              <mn>1</mn>
-              <mrow>
                 <mo>鈭�</mo>
                 <mi>x</mi>
-              </mrow>
-            </mfrac>
-            <mo>=</mo>
-            <mo>鈭�</mo>
-            <mrow data-mjx-texclass="INNER">
-              <mo data-mjx-texclass="OPEN">(</mo>
-              <mi>x</mi>
-              <mo>+</mo>
-              <mfrac>
-                <mn>1</mn>
-                <mi>x</mi>
-              </mfrac>
-              <mo data-mjx-texclass="CLOSE">)</mo>
-            </mrow>
-            <mo>=</mo>
-            <mo>鈭�</mo>
-            <mi>f</mi>
-            <mrow data-mjx-texclass="INNER">
-              <mo data-mjx-texclass="OPEN">(</mo>
-              <mi>x</mi>
-              <mo data-mjx-texclass="CLOSE">)</mo>
-            </mrow>
-            <mo>.</mo>
-          </math>
-          <p>鎵�浠ワ紝鍑芥暟<math display="0">
-              <mi>f</mi>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
-                <mi>x</mi>
                 <mo data-mjx-texclass="CLOSE">)</mo>
               </mrow>
               <mo>=</mo>
@@ -1700,10 +2006,58 @@
               <mo>+</mo>
               <mfrac>
                 <mn>1</mn>
-                <mi>x</mi>
+                <mrow>
+                  <mo>鈭�</mo>
+                  <mi>x</mi>
+                </mrow>
               </mfrac>
-            </math>鏄鍑芥暟.</p>
-          <p>锛�3锛� 鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>x</i>+|<i>x</i>|鐨勫畾涔夊煙鏄�<b>R</b>锛屽浠绘剰<i>x</i>鈭�<b>R</b>锛岄兘鏈�-<i>x</i>鈭�<b>R</b>锛屼絾鏄�</p>
+              <mo>=</mo>
+              <mo>鈭�</mo>
+              <mrow data-mjx-texclass="INNER">
+                <mo data-mjx-texclass="OPEN">(</mo>
+                <mi>x</mi>
+                <mo>+</mo>
+                <mfrac>
+                  <mn>1</mn>
+                  <mi>x</mi>
+                </mfrac>
+                <mo data-mjx-texclass="CLOSE">)</mo>
+              </mrow>
+              <mo>=</mo>
+              <mo>鈭�</mo>
+              <mi>f</mi>
+              <mrow data-mjx-texclass="INNER">
+                <mo data-mjx-texclass="OPEN">(</mo>
+                <mi>x</mi>
+                <mo data-mjx-texclass="CLOSE">)</mo>
+              </mrow>
+              <mo>.</mo>
+            </math>
+            <p>鎵�浠ワ紝鍑芥暟<math display="0">
+                <mi>f</mi>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mi>x</mi>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+                <mo>=</mo>
+                <mo>鈭�</mo>
+                <mi>x</mi>
+                <mo>+</mo>
+                <mfrac>
+                  <mn>1</mn>
+                  <mi>x</mi>
+                </mfrac>
+              </math>鏄鍑芥暟.
+            </p>
+          </div>
+          <div v-if="isShowAnswer28"  >
+            <p >锛�3锛� 鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>x</i>+|<i>x</i>|鐨勫畾涔夊煙鏄�<b>R</b>锛屽浠绘剰<i>x</i>鈭�<b>R</b>锛岄兘鏈�-<i>x</i>鈭�<b>R</b>锛屼絾鏄�</p>
+            <p class="center">
+              <i>f</i>锛�-<i>x</i>锛�=锛�-<i>x</i>锛�+|-<i>x</i>|=-<i>x</i>+|<i>x</i>|=-锛�<i>x</i>-|<i>x</i>|锛夆墵-<i>f</i>锛�<i>x</i>锛�.
+            </p>
+            <p>鎵�浠ワ紝鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>x</i>+|<i>x</i>|涓嶆槸濂囧嚱鏁�.</p>
+          </div>
         </div>
       </div>
     </div>
@@ -1716,10 +2070,6 @@
           <li>涓婂唽</li>
         </ul>
         <div class="padding-116">
-          <p class="center">
-            <i>f</i>锛�-<i>x</i>锛�=锛�-<i>x</i>锛�+|-<i>x</i>|=-<i>x</i>+|<i>x</i>|=-锛�<i>x</i>-|<i>x</i>|锛夆墵-<i>f</i>锛�<i>x</i>锛�.
-          </p>
-          <p>鎵�浠ワ紝鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>x</i>+|<i>x</i>|涓嶆槸濂囧嚱鏁�.</p>
           <div class="bk-hzjl">
             <div class="bj1-hzjl">
               <p class="left">
@@ -1731,133 +2081,188 @@
           </div>
           <p>濡傛灉涓�涓嚱鏁版槸濂囧嚱鏁版垨鍋跺嚱鏁帮紝閭d箞灏辩О杩欎釜鍑芥暟鍏锋湁<b>濂囧伓鎬�</b>.鍚﹀垯锛屽嚱鏁颁笉鍏锋湁濂囧伓鎬�.</p>
           <p><span class="zt-ls"><b>渚�7</b></span>銆�鍒ゆ柇涓嬪垪鍑芥暟鐨勫鍋舵��.</p>
-          <p>锛�1锛� <i>f</i>锛�<i>x</i>锛�=<i>x</i><sup>4</sup>锛涳紙2锛� <math display="0">
-              <mi>f</mi>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
-                <mi>x</mi>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-              <mo>=</mo>
-              <mo>鈭�</mo>
-              <mi>x</mi>
-              <mo>鈭�</mo>
-              <mfrac>
-                <mn>1</mn>
-                <mi>x</mi>
-              </mfrac>
-            </math>锛�</p>
-          <p>锛�3锛� <i>f</i>锛�<i>x</i>锛�=<i>x</i><sup>2</sup>+<i>x</i>锛涳紙4锛�<math display="0">
-              <mi>f</mi>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
-                <mi>x</mi>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-              <mo>=</mo>
-              <mfrac>
-                <mn>1</mn>
-                <mrow>
-                  <mi>x</mi>
-                  <mo>鈭�</mo>
-                  <mn>1</mn>
-                </mrow>
-              </mfrac>
-            </math>.</p>
-          <p><span class="zt-ls"><b>瑙�</b></span>锛�1锛�
-            <i>f</i>锛�<i>x</i>锛夌殑瀹氫箟鍩熸槸<b>R</b>锛屽浠绘剰<i>x</i>鈭�<b>R</b>锛岄兘鏈�-<i>x</i>鈭�<b>R</b>锛屼笖
+          <p class="p-btn" >
+            <span>锛�1锛� <i>f</i>锛�<i>x</i>锛�=<i>x</i><sup>4</sup>锛�</span>
+            <span class="btn-box" @click="isShowAnswer29 = !isShowAnswer29">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p class="center"><i>f</i>锛�-<i>x</i>锛�=锛�-<i>x</i>锛�<sup>4</sup>=<i>x</i><sup>4</sup>=<i>f</i>锛�<i>x</i>锛夛紝</p>
-          <p>鎵�浠ワ紝鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>x</i><sup>4</sup>鏄伓鍑芥暟.</p>
-          <p>锛�2锛�
-            瑕佷娇鍑芥暟<i>f</i>锛�<i>x</i>锛夋湁鎰忎箟锛屽繀椤绘弧瓒�<i>x</i>鈮�0锛屾墍浠ュ嚱鏁�<i>f</i>锛�<i>x</i>锛夌殑瀹氫箟鍩熸槸<i>D</i>={<i>x</i>|<i>x</i>鈮�0}锛屽浠绘剰<i>x</i>鈭�<i>D</i>锛岄兘鏈�-<i>x</i>鈭�<i>D</i>锛�
-            涓�</p>
-          <math display="block">
-            <mi>f</mi>
-            <mo stretchy="false">(</mo>
-            <mo>鈭�</mo>
-            <mi>x</mi>
-            <mo stretchy="false">)</mo>
-            <mo>=</mo>
-            <mo>鈭�</mo>
-            <mi>x</mi>
-            <mo>鈭�</mo>
-            <mfrac>
-              <mn>1</mn>
-              <mrow>
+          <p class="p-btn">
+            <span>
+              锛�2锛� <math display="0">
+                <mi>f</mi>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mi>x</mi>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+                <mo>=</mo>
                 <mo>鈭�</mo>
                 <mi>x</mi>
-              </mrow>
-            </mfrac>
-            <mo>=</mo>
-            <mo>鈭�</mo>
-            <mi>x</mi>
-            <mo>+</mo>
-            <mfrac>
-              <mn>1</mn>
+                <mo>鈭�</mo>
+                <mfrac>
+                  <mn>1</mn>
+                  <mi>x</mi>
+                </mfrac>
+              </math>锛�
+            </span>
+            <span class="btn-box" @click="isShowAnswer30 = !isShowAnswer30">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <p class="p-btn">
+            <span>
+              锛�3锛� <i>f</i>锛�<i>x</i>锛�=<i>x</i><sup>2</sup>+<i>x</i>锛�
+            </span>
+            <span class="btn-box" @click="isShowAnswer31 = !isShowAnswer31">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <p class="p-btn" >
+            <span>
+              锛�4锛�<math display="0">
+                <mi>f</mi>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mi>x</mi>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+                <mo>=</mo>
+                <mfrac>
+                  <mn>1</mn>
+                  <mrow>
+                    <mi>x</mi>
+                    <mo>鈭�</mo>
+                    <mn>1</mn>
+                  </mrow>
+                </mfrac>
+              </math>.
+            </span>
+            <span class="btn-box" @click="isShowAnswer32 = !isShowAnswer32">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <div v-if="isShowAnswer29" >
+            <p><span class="zt-ls"><b>瑙�</b></span>锛�1锛�
+              <i>f</i>锛�<i>x</i>锛夌殑瀹氫箟鍩熸槸<b>R</b>锛屽浠绘剰<i>x</i>鈭�<b>R</b>锛岄兘鏈�-<i>x</i>鈭�<b>R</b>锛屼笖
+            </p>
+            <p class="center"><i>f</i>锛�-<i>x</i>锛�=锛�-<i>x</i>锛�<sup>4</sup>=<i>x</i><sup>4</sup>=<i>f</i>锛�<i>x</i>锛夛紝</p>
+            <p>鎵�浠ワ紝鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>x</i><sup>4</sup>鏄伓鍑芥暟.</p>
+          </div>
+          <div v-if="isShowAnswer30" >
+            <p>锛�2锛�
+              瑕佷娇鍑芥暟<i>f</i>锛�<i>x</i>锛夋湁鎰忎箟锛屽繀椤绘弧瓒�<i>x</i>鈮�0锛屾墍浠ュ嚱鏁�<i>f</i>锛�<i>x</i>锛夌殑瀹氫箟鍩熸槸<i>D</i>={<i>x</i>|<i>x</i>鈮�0}锛屽浠绘剰<i>x</i>鈭�<i>D</i>锛岄兘鏈�-<i>x</i>鈭�<i>D</i>锛�
+              涓�</p>
+            <math display="block">
+              <mi>f</mi>
+              <mo stretchy="false">(</mo>
+              <mo>鈭�</mo>
               <mi>x</mi>
-            </mfrac>
-            <mo>=</mo>
-            <mo>鈭�</mo>
-            <mrow data-mjx-texclass="INNER">
-              <mo data-mjx-texclass="OPEN">(</mo>
+              <mo stretchy="false">)</mo>
+              <mo>=</mo>
+              <mo>鈭�</mo>
               <mi>x</mi>
               <mo>鈭�</mo>
-              <mfrac>
-                <mn>1</mn>
-                <mi>x</mi>
-              </mfrac>
-              <mo data-mjx-texclass="CLOSE">)</mo>
-            </mrow>
-            <mo>=</mo>
-            <mo>鈭�</mo>
-            <mi>f</mi>
-            <mo stretchy="false">(</mo>
-            <mi>x</mi>
-            <mo stretchy="false">)</mo>
-            <mo>,</mo>
-          </math>
-          <p>鎵�浠ワ紝鍑芥暟<math display="0">
-              <mi>f</mi>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
-                <mi>x</mi>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-              <mo>=</mo>
-              <mi>x</mi>
-              <mo>鈭�</mo>
-              <mfrac>
-                <mn>1</mn>
-                <mi>x</mi>
-              </mfrac>
-            </math>鏄鍑芥暟.</p>
-          <p>锛�3锛�
-            鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>x</i><sup>2</sup>+<i>x</i>鐨勫畾涔夊煙鏄�<b>R</b>锛屽浠绘剰<i>x</i>鈭�<b>R</b>锛岄兘鏈�-<i>x</i>鈭�<b>R</b>锛屼笖
-          </p>
-          <p class="center"><i>f</i>锛�-<i>x</i>锛�=锛�-<i>x</i>锛�<sup>2</sup>+锛�-<i>x</i>锛�=<i>x</i><sup>2</sup>-<i>x</i>锛�</p>
-          <p>浣嗐��<i>f</i>锛�-<i>x</i>锛夆墵<i>f</i>锛�<i>x</i>锛夛紝涓�<i>f</i>锛�-<i>x</i>锛夆墵-<i>f</i>锛�<i>x</i>锛夛紝</p>
-          <p>鎵�浠ワ紝鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>x</i><sup>2</sup>+<i>x</i>鏃笉鏄鍑芥暟锛屼篃涓嶆槸鍋跺嚱鏁�.</p>
-          <p>锛�4锛�
-            瑕佷娇鍑芥暟<i>f</i>锛�<i>x</i>锛夋湁鎰忎箟锛屽繀椤绘弧瓒�<i>x</i>-1鈮�0锛屾墍浠ュ嚱鏁�<i>f</i>锛�<i>x</i>锛夌殑瀹氫箟鍩熸槸<i>D</i>={<i>x</i>|<i>x</i>鈮�1}锛屽浠绘剰<i>x</i>鈭�<i>D</i>锛屼笉閮芥湁-<i>x</i>鈭�<i>D</i>鎴愮珛.
-          </p>
-          <p>鎵�浠ワ紝鍑芥暟<math display="0">
-              <mi>f</mi>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
-                <mi>x</mi>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-              <mo>=</mo>
               <mfrac>
                 <mn>1</mn>
                 <mrow>
-                  <mi>x</mi>
                   <mo>鈭�</mo>
-                  <mn>1</mn>
+                  <mi>x</mi>
                 </mrow>
               </mfrac>
-            </math>涓嶅叿鏈夊鍋舵�э紝瀹冩棦涓嶆槸濂囧嚱鏁颁篃涓嶆槸鍋跺嚱鏁�.</p>
+              <mo>=</mo>
+              <mo>鈭�</mo>
+              <mi>x</mi>
+              <mo>+</mo>
+              <mfrac>
+                <mn>1</mn>
+                <mi>x</mi>
+              </mfrac>
+              <mo>=</mo>
+              <mo>鈭�</mo>
+              <mrow data-mjx-texclass="INNER">
+                <mo data-mjx-texclass="OPEN">(</mo>
+                <mi>x</mi>
+                <mo>鈭�</mo>
+                <mfrac>
+                  <mn>1</mn>
+                  <mi>x</mi>
+                </mfrac>
+                <mo data-mjx-texclass="CLOSE">)</mo>
+              </mrow>
+              <mo>=</mo>
+              <mo>鈭�</mo>
+              <mi>f</mi>
+              <mo stretchy="false">(</mo>
+              <mi>x</mi>
+              <mo stretchy="false">)</mo>
+              <mo>,</mo>
+            </math>
+            <p>鎵�浠ワ紝鍑芥暟<math display="0">
+                <mi>f</mi>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mi>x</mi>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+                <mo>=</mo>
+                <mi>x</mi>
+                <mo>鈭�</mo>
+                <mfrac>
+                  <mn>1</mn>
+                  <mi>x</mi>
+                </mfrac>
+              </math>鏄鍑芥暟.
+            </p>
+
+          </div>
+          <div v-if="isShowAnswer31" >
+            <p>锛�3锛�
+              鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>x</i><sup>2</sup>+<i>x</i>鐨勫畾涔夊煙鏄�<b>R</b>锛屽浠绘剰<i>x</i>鈭�<b>R</b>锛岄兘鏈�-<i>x</i>鈭�<b>R</b>锛屼笖
+            </p>
+            <p class="center"><i>f</i>锛�-<i>x</i>锛�=锛�-<i>x</i>锛�<sup>2</sup>+锛�-<i>x</i>锛�=<i>x</i><sup>2</sup>-<i>x</i>锛�</p>
+            <p>浣嗐��<i>f</i>锛�-<i>x</i>锛夆墵<i>f</i>锛�<i>x</i>锛夛紝涓�<i>f</i>锛�-<i>x</i>锛夆墵-<i>f</i>锛�<i>x</i>锛夛紝</p>
+            <p>鎵�浠ワ紝鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>x</i><sup>2</sup>+<i>x</i>鏃笉鏄鍑芥暟锛屼篃涓嶆槸鍋跺嚱鏁�.</p>
+          </div>
+          <div v-if="isShowAnswer32" >
+            <p>锛�4锛�
+              瑕佷娇鍑芥暟<i>f</i>锛�<i>x</i>锛夋湁鎰忎箟锛屽繀椤绘弧瓒�<i>x</i>-1鈮�0锛屾墍浠ュ嚱鏁�<i>f</i>锛�<i>x</i>锛夌殑瀹氫箟鍩熸槸<i>D</i>={<i>x</i>|<i>x</i>鈮�1}锛屽浠绘剰<i>x</i>鈭�<i>D</i>锛屼笉閮芥湁-<i>x</i>鈭�<i>D</i>鎴愮珛.
+            </p>
+            <p>鎵�浠ワ紝鍑芥暟<math display="0">
+                <mi>f</mi>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mi>x</mi>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+                <mo>=</mo>
+                <mfrac>
+                  <mn>1</mn>
+                  <mrow>
+                    <mi>x</mi>
+                    <mo>鈭�</mo>
+                    <mn>1</mn>
+                  </mrow>
+                </mfrac>
+              </math>涓嶅叿鏈夊鍋舵�э紝瀹冩棦涓嶆槸濂囧嚱鏁颁篃涓嶆槸鍋跺嚱鏁�.
+            </p>
+          </div>
           <div class="bk-hzjl">
             <div class="bj1-hzjl">
               <p class="left"><img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" /></p>
@@ -1926,101 +2331,147 @@
           <li>涓婂唽</li>
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+          <p>
+            <span>
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+              km/h鐨勯�熷害杩斿洖A鍩�.鍦ㄤ笉鑰冭檻鍫佃溅绛夊叾浠栧洜绱犵殑鎯呭喌涓嬶紝璁惧皬鏉庝粠A鍩庡嚭鍙�<i>x</i>锛坔锛夊悗锛屽皬鏉庝笌A鍩庣殑璺濈鏄�<i>y</i>锛坘m锛�.
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+                </mrow>
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+            <p>灏忔潕鍒癇鍩庡悗鍋滅暀3 h锛寈鐨勫彇鍊艰寖鍥存槸{<i>x</i>|2.5锛�<i>x</i>鈮�5.5}锛屽搴斿叧绯绘槸<i>y</i>=200锛�</p>
+            <p>灏忔潕浠�<i>B</i>鍩庤繑鍥�<i>A</i>鍩庣敤鏃�<math display="0">
+                <mfrac>
+                  <mn>200</mn>
+                  <mn>100</mn>
+                </mfrac>
+                <mo>=</mo>
+                <mn>2</mn>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mi>h</mi>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+              </math>锛�<i>x</i>鐨勫彇鍊艰寖鍥存槸{<i>x</i>|5.5锛�<i>x</i>鈮�7.5}锛�<i>y</i>涓�<i>x</i>鐨勫搴斿叧绯绘槸<i>y</i>=200-100锛�<i>x</i>-5.5锛夛紝鍗�<i>y</i>=-100<i>x</i>+750.
+            </p>
+            <p>鍥犳锛岀敤瑙f瀽娉曞皢鍑芥暟<i>f</i>锛�<i>x</i>锛夎〃绀轰负<math display="0">
+                <mi>y</mi>
+                <mo>=</mo>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">{</mo>
+                  <mtable columnalign="left left" columnspacing="1em" rowspacing="4pt">
+                    <mtr>
+                      <mtd>
+                        <mn>80</mn>
+                        <mi>x</mi>
+                        <mo>,</mo>
+                      </mtd>
+                      <mtd>
+                        <mn>0</mn>
+                        <mo>&lt;</mo>
+                        <mi>x</mi>
+                        <mo>猢�</mo>
+                        <mn>2.5</mn>
+                      </mtd>
+                    </mtr>
+                    <mtr>
+                      <mtd>
+                        <mn>200</mn>
+                        <mo>,</mo>
+                      </mtd>
+                      <mtd>
+                        <mn>2.5</mn>
+                        <mo>&lt;</mo>
+                        <mi>x</mi>
+                        <mo>猢�</mo>
+                        <mn>5.5</mn>
+                        <mo>,</mo>
+                      </mtd>
+                    </mtr>
+                    <mtr>
+                      <mtd>
+                        <mo>鈭�</mo>
+                        <mn>100</mn>
+                        <mi>x</mi>
+                        <mo>+</mo>
+                        <mn>750</mn>
+                        <mo>,</mo>
+                        <mn>5.5</mn>
+                        <mo>&lt;</mo>
+                        <mi>x</mi>
+                        <mo>猢�</mo>
+                        <mn>7.5</mn>
+                      </mtd>
+                    </mtr>
+                  </mtable>
+                  <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+                </mrow>
+              </math>.
+            </p>
+          </div>
+          <div v-if="isShowAnswer34">
+            <p>锛�2锛� 鍑芥暟<i>y</i>=<i>f</i>锛�<i>x</i>锛夌殑鍥惧儚濡傚浘3-24鎵�绀�.</p>
+            <p class="center"><img class="img-f" alt="" src="../../assets/images/0111-4.jpg" /></p>
+            <p class="img">鍥�3-24</p>
+          </div>
+          <div v-if="isShowAnswer35" >
+            <p>锛�3锛� 灏忔潕浠庢棭鏅�8锛�00鍑哄彂鍒�15锛�00锛屽叡缁忚繃浜�7h锛屾墍浠�<i>x</i>=7锛岀敱锛�1锛� 涓В鏋愬紡寰楀皬鏉庝笌<i>A</i>鍩庣殑璺濈涓�</p>
+            <p class="center">-100脳7+750=50锛坘m锛�.</p>
+            <p>鎵�浠ワ紝灏忔潕杩斿洖A鍩庨�斾腑鎺ュ埌瀹朵汉鐢佃瘽鏃讹紝璺濈A鍩庡垰濂�50 km.</p>
+          </div>
         </div>
       </div>
     </div>
@@ -2036,56 +2487,192 @@
           </li>
         </ul>
         <div class="padding-116">
-          <p><span class="zt-ls"><b>渚�2</b></span>銆�鏌愬啘鎴疯鐢�6 000鍧楃爾寤洪�犱笁闂撮潰绉浉绛夌殑楗插吇瀹わ紝濡傚浘3-25鎵�绀猴紝鍏朵腑<i>AB</i>锛�<i>AD</i>涓ら潰闈犲锛屾瘡淇瓚闀垮害1
-            m鐨勬柊澧欓渶瑕佺爾200鍧�.褰�<i>AB</i>涓哄灏戠背鏃讹紝淇缓鐨勪笁闂撮ゲ鍏诲鐨勬�婚潰绉渶澶э紵鏈�澶ч潰绉槸澶氬皯锛�</p>
+          <p class="p-btn" >
+            <span>
+              <span class="zt-ls"><b>渚�2</b></span>銆�鏌愬啘鎴疯鐢�6 000鍧楃爾寤洪�犱笁闂撮潰绉浉绛夌殑楗插吇瀹わ紝濡傚浘3-25鎵�绀猴紝鍏朵腑<i>AB</i>锛�<i>AD</i>涓ら潰闈犲锛屾瘡淇瓚闀垮害1
+              m鐨勬柊澧欓渶瑕佺爾200鍧�.褰�<i>AB</i>涓哄灏戠背鏃讹紝淇缓鐨勪笁闂撮ゲ鍏诲鐨勬�婚潰绉渶澶э紵鏈�澶ч潰绉槸澶氬皯锛�
+            </span>
+            <span class="btn-box" @click="openDialog(thinkSix)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.545" height="18.112" viewBox="0 0 20.545 22.112">
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+                  transform="translate(-3761 14334.001)" />
+              </svg>
+            </span>
+            <span class="btn-box" @click="isShowAnswer36 = !isShowAnswer36">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
           <p class="center"><img class="img-f" alt="" src="../../assets/images/0112-1.jpg" /></p>
           <p class="img">鍥�3-25</p>
-          <p class="block"><span
-              class="zt-ls2"><b>鍒嗘瀽</b></span>銆�棣栧厛闇�瑕佽绠楀鐢ㄦ潗鏂欏彲淇缓楗插吇瀹ゆ柊澧欑殑鎬婚暱锛涘洜姣忛棿楗插吇瀹ょ殑鍛ㄩ暱鏄畾鍊硷紝鎵�浠ヨ<i>AB</i>鐨勯暱涓�<i>x</i>锛坢锛夛紝灏卞彲浠ョ敤鍚�<i>x</i>鐨勪唬鏁板紡琛ㄧず<i>BC</i>鐨勯暱锛涘啀鐢ㄨВ鏋愭硶琛ㄧず鎬婚潰绉�<i>y</i>锛坢<sup>2</sup>锛変笌<i>x</i>锛坢锛夌殑鍑芥暟鍏崇郴锛涚劧鍚庡埄鐢ㄥ嚱鏁扮殑鎬ц川鏉ヨВ鍐抽棶棰�.
+          <div v-if="isShowAnswer36" > 
+            <p><span class="zt-ls"><b>瑙�</b></span> 鍥犱负姣忎慨绛戦暱搴�1 m鐨勬柊澧欓渶瑕佺爾200鍧楋紝鎵�浠�6 000鍧楃爾鍙互淇瓚鏂板鐨勬�婚暱搴︽槸6
+              000梅200=30锛坢锛�.璁�<i>AB</i>涓�<i>x</i>锛坢锛夛紝鍒�<i>BC</i>涓猴紙30-3<i>x</i>锛夛紙m锛夛紝涓夐棿楗插吇瀹ょ殑鎬婚潰绉负<i>y</i>锛坢<sup>2</sup>锛�.</p>
+            <p>浜庢槸<i>y</i>=锛�30-3<i>x</i>锛�<i>x</i>锛岃鏈夊疄闄呮剰涔夛紝蹇呴』婊¤冻<math display="0">
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">{</mo>
+                  <mtable columnspacing="1em" rowspacing="4pt">
+                    <mtr>
+                      <mtd>
+                        <mi>x</mi>
+                        <mo>锛�</mo>
+                        <mn>0</mn>
+                        <mo>锛�</mo>
+                      </mtd>
+                      <mtd></mtd>
+                    </mtr>
+                    <mtr>
+                      <mtd>
+                        <mn>30</mn>
+                        <mo>鈭�</mo>
+                        <mn>3</mn>
+                        <mi>x</mi>
+                        <mo>锛�</mo>
+                        <mn>0</mn>
+                      </mtd>
+                      <mtd></mtd>
+                    </mtr>
+                  </mtable>
+                  <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+                </mrow>
+              </math>.</p>
+            <p>鎵�浠ワ紝<i>y</i>涓�<i>x</i>鐨勫嚱鏁板叧绯绘槸<i>y</i>=-3<i>x</i><sup>2</sup>+30<i>x</i>锛�0锛�<i>x</i>锛�10.</p>
+            <p>鏁寸悊寰�<i>y</i>=-3锛�<i>x</i>-5锛�<sup>2</sup>+75.</p>
+            <p>鎵�浠ワ紝褰�<i>x</i>=5鏃讹紝<i>y</i>鍊兼渶澶э紝鏈�澶у�间负75.</p>
+            <p>鍗冲綋<i>AB</i>涓�5 m鏃讹紝涓夐棿楗插吇瀹ょ殑鎬婚潰绉渶澶э紝鏈�澶ч潰绉槸75 m<sup>2</sup>.</p>
+            <p>鍦ㄥ疄闄呯敓娲讳腑锛屽緢澶氫笌浜屾鍑芥暟鏈夊叧鐨勬渶鍊奸棶棰橀兘鍙�氳繃鍒嗘瀽銆佺爺绌跺悗锛屽缓绔嬬浉搴斾簩娆″嚱鏁扮殑鏁板妯″瀷锛屽苟杩愮敤浜屾鍑芥暟鐨勫浘鍍忔�ц川姹傛渶鍊�.</p>
+          </div>
+          <p class="p-btn" >
+            <span>
+              <span class="zt-ls"><b>渚�3</b></span>銆�鏌愭壒鍙戝晢璐叆涓�鎵�30鍏�/kg鐨勭豢鑹查鍝侊紝鑻ヤ互40鍏�/kg閿�鍞紝鍒欐瘡鏈堝彲鎵瑰彂閿�鍞�400
+              kg.鐢辨壒鍙戦攢鍞粡楠岀煡閬擄紝姣忔湀閿�鍞噺<i>y</i>锛坘g
+              锛夋槸閿�鍞崟浠�<i>x</i>锛堝厓锛夌殑涓�娆″嚱鏁帮紝鍏跺浘鍍忓鍥�3-26鎵�绀�.
+            </span>
+            <span class="btn-box" @click="openDialog(thinkSeven)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.545" height="18.112" viewBox="0 0 20.545 22.112">
+                <path class="a"
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-          <p><span class="zt-ls"><b>瑙�</b></span> 鍥犱负姣忎慨绛戦暱搴�1 m鐨勬柊澧欓渶瑕佺爾200鍧楋紝鎵�浠�6 000鍧楃爾鍙互淇瓚鏂板鐨勬�婚暱搴︽槸6
-            000梅200=30锛坢锛�.璁�<i>AB</i>涓�<i>x</i>锛坢锛夛紝鍒�<i>BC</i>涓猴紙30-3<i>x</i>锛夛紙m锛夛紝涓夐棿楗插吇瀹ょ殑鎬婚潰绉负<i>y</i>锛坢<sup>2</sup>锛�.</p>
-          <p>浜庢槸<i>y</i>=锛�30-3<i>x</i>锛�<i>x</i>锛岃鏈夊疄闄呮剰涔夛紝蹇呴』婊¤冻<math display="0">
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">{</mo>
-                <mtable columnspacing="1em" rowspacing="4pt">
-                  <mtr>
-                    <mtd>
-                      <mi>x</mi>
-                      <mo>锛�</mo>
-                      <mn>0</mn>
-                      <mo>锛�</mo>
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-                    <mtd></mtd>
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-                  <mtr>
-                    <mtd>
-                      <mn>30</mn>
-                      <mo>鈭�</mo>
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-                      <mi>x</mi>
-                      <mo>锛�</mo>
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-                    <mtd></mtd>
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-                <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
-              </mrow>
-            </math>.</p>
-          <p>鎵�浠ワ紝<i>y</i>涓�<i>x</i>鐨勫嚱鏁板叧绯绘槸<i>y</i>=-3<i>x</i><sup>2</sup>+30<i>x</i>锛�0锛�<i>x</i>锛�10.</p>
-          <p>鏁寸悊寰�<i>y</i>=-3锛�<i>x</i>-5锛�<sup>2</sup>+75.</p>
-          <p>鎵�浠ワ紝褰�<i>x</i>=5鏃讹紝<i>y</i>鍊兼渶澶э紝鏈�澶у�间负75.</p>
-          <p>鍗冲綋<i>AB</i>涓�5 m鏃讹紝涓夐棿楗插吇瀹ょ殑鎬婚潰绉渶澶э紝鏈�澶ч潰绉槸75 m<sup>2</sup>.</p>
-          <p>鍦ㄥ疄闄呯敓娲讳腑锛屽緢澶氫笌浜屾鍑芥暟鏈夊叧鐨勬渶鍊奸棶棰橀兘鍙�氳繃鍒嗘瀽銆佺爺绌跺悗锛屽缓绔嬬浉搴斾簩娆″嚱鏁扮殑鏁板妯″瀷锛屽苟杩愮敤浜屾鍑芥暟鐨勫浘鍍忔�ц川姹傛渶鍊�.</p>
-          <p><span class="zt-ls"><b>渚�3</b></span>銆�鏌愭壒鍙戝晢璐叆涓�鎵�30鍏�/kg鐨勭豢鑹查鍝侊紝鑻ヤ互40鍏�/kg閿�鍞紝鍒欐瘡鏈堝彲鎵瑰彂閿�鍞�400
-            kg.鐢辨壒鍙戦攢鍞粡楠岀煡閬擄紝姣忔湀閿�鍞噺<i>y</i>锛坘g
-            锛夋槸閿�鍞崟浠�<i>x</i>锛堝厓锛夌殑涓�娆″嚱鏁帮紝鍏跺浘鍍忓鍥�3-26鎵�绀�.</p>
           <p class="center"><img class="img-c" alt="" src="../../assets/images/0112-3.jpg" /></p>
           <p class="img"> 鍥�3-26</p>
-          <p>锛�1锛� 鐢ㄨВ鏋愭硶琛ㄧず鍑芥暟<i>y</i>=<i>f</i>锛�<i>x</i>锛夛紱</p>
-          <p>锛�2锛� 璇ユ壒鍙戝晢涓嶄綆浜庤喘鍏ヤ环杩涜閿�鍞紝璁捐鎵瑰彂鍟嗘瘡鏈堥攢鍞繖鎵圭豢鑹查鍝佸彲鑾峰緱鍒╂鼎涓�<i>w</i>鍏冿紝鐢ㄨВ鏋愭硶琛ㄧず鍑芥暟<i>w</i>=<i>g</i>锛�<i>x</i>锛夛紱</p>
-          <p>锛�3锛� 褰撻攢鍞崟浠蜂负澶氬皯鏃讹紝璇ユ壒鍙戝晢姣忔湀鍙幏寰楁渶澶у埄娑︼紵鏈�澶у埄娑︽槸澶氬皯锛�</p>
+          <p class="p-btn">
+            <span>锛�1锛� 鐢ㄨВ鏋愭硶琛ㄧず鍑芥暟<i>y</i>=<i>f</i>锛�<i>x</i>锛夛紱</span>
+            <span class="btn-box" @click="isShowAnswer38 = !isShowAnswer38">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <p class="p-btn">
+            <span>
+            锛�2锛� 璇ユ壒鍙戝晢涓嶄綆浜庤喘鍏ヤ环杩涜閿�鍞紝璁捐鎵瑰彂鍟嗘瘡鏈堥攢鍞繖鎵圭豢鑹查鍝佸彲鑾峰緱鍒╂鼎涓�<i>w</i>鍏冿紝鐢ㄨВ鏋愭硶琛ㄧず鍑芥暟<i>w</i>=<i>g</i>锛�<i>x</i>锛夛紱
+            </span>
+            <span class="btn-box" @click="isShowAnswer39 = !isShowAnswer39">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <p class="p-btn">
+            <span>
+            锛�3锛� 褰撻攢鍞崟浠蜂负澶氬皯鏃讹紝璇ユ壒鍙戝晢姣忔湀鍙幏寰楁渶澶у埄娑︼紵鏈�澶у埄娑︽槸澶氬皯锛�
+            </span>
+            <span class="btn-box" @click="isShowAnswer40 = !isShowAnswer40">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <div v-if="isShowAnswer38" > 
+            <p><span class="zt-ls"><b>瑙�</b></span>锛�1锛� 璁惧嚱鏁�<i>y</i>=<i>f</i>锛�<i>x</i>锛夌殑瑙f瀽寮忔槸<i>y</i>=<i>kx</i>+<i>b</i>锛屽垯</p>
+            <p><math display="0">
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">{</mo>
+                  <mtable columnspacing="1em" rowspacing="4pt">
+                    <mtr>
+                      <mtd>
+                        <mn>40</mn>
+                        <mi>k</mi>
+                        <mo>+</mo>
+                        <mi>b</mi>
+                        <mo>=</mo>
+                        <mn>400</mn>
+                        <mo>锛�</mo>
+                      </mtd>
+                      <mtd></mtd>
+                    </mtr>
+                    <mtr>
+                      <mtd>
+                        <mn>50</mn>
+                        <mi>k</mi>
+                        <mo>+</mo>
+                        <mi>b</mi>
+                        <mo>=</mo>
+                        <mn>200</mn>
+                        <mo>锛�</mo>
+                      </mtd>
+                      <mtd></mtd>
+                    </mtr>
+                  </mtable>
+                  <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+                </mrow>
+              </math>锛岃В寰�<math display="0">
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">{</mo>
+                  <mtable columnspacing="1em" rowspacing="4pt">
+                    <mtr>
+                      <mtd>
+                        <mi>k</mi>
+                        <mo>=</mo>
+                        <mo>鈭�</mo>
+                        <mn>20</mn>
+                        <mo>锛�</mo>
+                      </mtd>
+                      <mtd></mtd>
+                    </mtr>
+                    <mtr>
+                      <mtd>
+                        <mi>b</mi>
+                        <mo>=</mo>
+                        <mn>1200.</mn>
+                      </mtd>
+                      <mtd></mtd>
+                    </mtr>
+                  </mtable>
+                  <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+                </mrow>
+              </math></p>
+            <p>鍗�<i>y</i>=-20<i>x</i>+1 200.</p>
+            <p>鏍规嵁棰樻剰锛屽綋30鈮�<i>x</i>鈮�60鏃讹紝鍑芥暟<i>y</i>=-20<i>x</i>+1 200鎵嶆湁瀹為檯鎰忎箟.</p>
+            <p>鎵�浠ワ紝鍑芥暟<i>y</i>=<i>f</i>锛�<i>x</i>锛夌殑瑙f瀽寮忓彲琛ㄧず涓�</p>
+            <p class="center"><i>y</i>=-20<i>x</i>+1 200锛�30鈮�<i>x</i>鈮�60.</p>
+          </div>
+          <div v-if="isShowAnswer39" > 
+            <p>锛�2锛� 鐢遍鎰忓緱锛�<i>w</i>=锛�<i>x</i>-30锛�<i>y</i></p>
+            <p>銆�銆�銆�銆�銆�銆�銆�銆�=锛�<i>x</i>-30锛夛紙-20<i>x</i>+1 200锛�</p>
+            <p>銆�銆�銆�銆�銆�銆�銆�銆�=-20<i>x</i><sup>2</sup>+1 800<i>x</i>-36 000锛�</p>
+            <p>鎵�浠ワ紝鍑芥暟<i>w</i>=<i>g</i>锛�<i>x</i>锛夌殑瑙f瀽寮忓彲琛ㄧず涓�</p>
+            <p class="center"><i>w</i>=-20<i>x</i><sup>2</sup>+1 800<i>x</i>-36 000锛�30鈮�<i>x</i>鈮�60.</p>
+          </div>
+          <div v-if="isShowAnswer40" > 
+            <p>锛�3锛� 鐢憋紙2锛� 鐭ワ紝<i>w</i>=-20<i>x</i><sup>2</sup>+1 800<i>x</i>-36 000锛�30鈮�<i>x</i>鈮�60锛岄厤鏂瑰緱</p>
+            <p class="center"><i>w</i>=-20锛�<i>x</i>-45锛�<sup>2</sup>+4 500.</p>
+            <p>鎵�浠ワ紝褰�<i>x</i>=45鏃讹紝<i>w</i>鐨勫�兼渶澶э紝鏈�澶у�兼槸4 500.</p>
+            <p>绛旓細褰撻攢鍞崟浠蜂负45鍏冩椂锛岃鎵瑰彂鍟嗘瘡鏈堝彲鑾峰緱鏈�澶у埄娑︼紝鏈�澶у埄娑︽槸4 500鍏�.</p>
+          </div>
         </div>
       </div>
     </div>
@@ -2098,80 +2685,6 @@
           <li>涓婂唽</li>
         </ul>
         <div class="padding-116">
-          <p class="block"><span
-              class="zt-ls2"><b>鍒嗘瀽</b></span>銆�鍏堢敱鍥惧儚姹傚嚭涓�娆″嚱鏁扮殑瑙f瀽寮忥紝鍐嶆牴鎹瘡鏈堟墍鑾峰埄娑�=锛堥攢鍞崟浠�-杩涗环锛壝楁瘡鏈堥攢鍞噺锛屽垪鍑烘瘡鏈堟墍鑾峰埄娑�<i>w</i>涓庨攢鍞崟浠�<i>x</i>鐨勫嚱鏁板叧绯�.
-          </p>
-          <p><span class="zt-ls"><b>瑙�</b></span>锛�1锛� 璁惧嚱鏁�<i>y</i>=<i>f</i>锛�<i>x</i>锛夌殑瑙f瀽寮忔槸<i>y</i>=<i>kx</i>+<i>b</i>锛屽垯</p>
-          <p><math display="0">
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">{</mo>
-                <mtable columnspacing="1em" rowspacing="4pt">
-                  <mtr>
-                    <mtd>
-                      <mn>40</mn>
-                      <mi>k</mi>
-                      <mo>+</mo>
-                      <mi>b</mi>
-                      <mo>=</mo>
-                      <mn>400</mn>
-                      <mo>锛�</mo>
-                    </mtd>
-                    <mtd></mtd>
-                  </mtr>
-                  <mtr>
-                    <mtd>
-                      <mn>50</mn>
-                      <mi>k</mi>
-                      <mo>+</mo>
-                      <mi>b</mi>
-                      <mo>=</mo>
-                      <mn>200</mn>
-                      <mo>锛�</mo>
-                    </mtd>
-                    <mtd></mtd>
-                  </mtr>
-                </mtable>
-                <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
-              </mrow>
-            </math>锛岃В寰�<math display="0">
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">{</mo>
-                <mtable columnspacing="1em" rowspacing="4pt">
-                  <mtr>
-                    <mtd>
-                      <mi>k</mi>
-                      <mo>=</mo>
-                      <mo>鈭�</mo>
-                      <mn>20</mn>
-                      <mo>锛�</mo>
-                    </mtd>
-                    <mtd></mtd>
-                  </mtr>
-                  <mtr>
-                    <mtd>
-                      <mi>b</mi>
-                      <mo>=</mo>
-                      <mn>1200.</mn>
-                    </mtd>
-                    <mtd></mtd>
-                  </mtr>
-                </mtable>
-                <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
-              </mrow>
-            </math></p>
-          <p>鍗�<i>y</i>=-20<i>x</i>+1 200.</p>
-          <p>鏍规嵁棰樻剰锛屽綋30鈮�<i>x</i>鈮�60鏃讹紝鍑芥暟<i>y</i>=-20<i>x</i>+1 200鎵嶆湁瀹為檯鎰忎箟.</p>
-          <p>鎵�浠ワ紝鍑芥暟<i>y</i>=<i>f</i>锛�<i>x</i>锛夌殑瑙f瀽寮忓彲琛ㄧず涓�</p>
-          <p class="center"><i>y</i>=-20<i>x</i>+1 200锛�30鈮�<i>x</i>鈮�60.</p>
-          <p>锛�2锛� 鐢遍鎰忓緱锛�<i>w</i>=锛�<i>x</i>-30锛�<i>y</i></p>
-          <p>銆�銆�銆�銆�銆�銆�銆�銆�=锛�<i>x</i>-30锛夛紙-20<i>x</i>+1 200锛�</p>
-          <p>銆�銆�銆�銆�銆�銆�銆�銆�=-20<i>x</i><sup>2</sup>+1 800<i>x</i>-36 000锛�</p>
-          <p>鎵�浠ワ紝鍑芥暟<i>w</i>=<i>g</i>锛�<i>x</i>锛夌殑瑙f瀽寮忓彲琛ㄧず涓�</p>
-          <p class="center"><i>w</i>=-20<i>x</i><sup>2</sup>+1 800<i>x</i>-36 000锛�30鈮�<i>x</i>鈮�60.</p>
-          <p>锛�3锛� 鐢憋紙2锛� 鐭ワ紝<i>w</i>=-20<i>x</i><sup>2</sup>+1 800<i>x</i>-36 000锛�30鈮�<i>x</i>鈮�60锛岄厤鏂瑰緱</p>
-          <p class="center"><i>w</i>=-20锛�<i>x</i>-45锛�<sup>2</sup>+4 500.</p>
-          <p>鎵�浠ワ紝褰�<i>x</i>=45鏃讹紝<i>w</i>鐨勫�兼渶澶э紝鏈�澶у�兼槸4 500.</p>
-          <p>绛旓細褰撻攢鍞崟浠蜂负45鍏冩椂锛岃鎵瑰彂鍟嗘瘡鏈堝彲鑾峰緱鏈�澶у埄娑︼紝鏈�澶у埄娑︽槸4 500鍏�.</p>
           <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
           <div class="bj">
             <examinations :cardList="questionData[110]" :hideCollect="true" sourceType="json"
@@ -2330,9 +2843,11 @@
       <iframe src="https://www.geogebra.org/calculator" frameborder="0" style="width: 100%; min-height: 800px"></iframe>
     </el-dialog>
     <!-- 瑙i鎬濊矾寮圭獥 -->
-    <el-dialog :visible.sync="thinkingDialog" width="40%" :append-to-body="true" :show-close="false">
-      <div slot="title" style="padding: 0; text-align: center; color: #333;display:flex;justify-content: center;">
-        <span style=""> 瑙i鎬濊矾 </span>
+    <el-dialog :visible.sync="thinkingDialog" width="40%" :append-to-body="true" :show-close="false"
+      @close="closeDialog" class="thinkDialog">
+      <div slot="title" class="think-header"
+        style="padding: 0; text-align: center; color: #333;display:flex;justify-content: center;">
+        <span style=""> 鍒嗘瀽 </span>
         <svg style="position: absolute; right:10px;cursor: pointer;" @click="thinkingDialog = false" t="1718596022986"
           class="icon" viewBox="0 0 1024 1024" version="1.1" xmlns="http://www.w3.org/2000/svg" p-id="4252" width="20"
           height="20" xmlns:xlink="http://www.w3.org/1999/xlink">
@@ -2345,8 +2860,8 @@
         </svg>
       </div>
       <ul>
-        <li v-for="(item, index) in thinkOne" :key="index">
-          <div v-if="item.isShow" style="display: flex">
+        <li v-for="(item, index) in thinkData" :key="index">
+          <div v-if="index <= showIndex" style="display: flex">
             <span style="position: relative">
               <span style="position: absolute; top: 16px; left: 13px; color: #fff">{{ index + 1 }}</span>
               <img src="../../assets/images/icon/blue-group.png" alt="" style="margin-right: 10px"
@@ -2354,67 +2869,17 @@
               <img src="../../assets/images/icon/blue.png" alt="" v-if="index == thinkOne.length - 1"
                 style="margin-right: 10px" />
             </span>
-            <p class="txt-p">{{ item.txt }}</p>
+            <p class="txt-p" v-html="item"></p>
           </div>
         </li>
       </ul>
-      <div @click="showNext(thinkIndex)" style="
+      <div @click="changeNext" style="
           display: flex;
           flex-direction: column;
           align-items: center;
           justify-content: center;
         ">
-        <img src="../../assets/images/icon/mouse.png" alt="" v-if="thinkIndex != 3" />
-        <svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" t="1710234570135"
-          class="icon" viewBox="0 0 1024 1024" version="1.1" p-id="5067" width="15" height="15">
-          <path
-            d="M2.257993 493.371555 415.470783 906.584344 512 1003.113561 608.529217 906.584344 1021.742007 493.371555 925.212789 396.842337 512 810.055127 98.787211 396.842337Z"
-            fill="#1296db" p-id="5068" />
-          <path
-            d="M2.257993 117.980154 415.470783 531.192944 512 627.722161 608.529217 531.192944 1021.742007 117.980154 925.212789 21.450937 512 434.663727 98.787211 21.450937Z"
-            fill="#1296db" p-id="5069" />
-        </svg>
-      </div>
-    </el-dialog>
-    <!-- 瑙i姝ラ寮圭獥 -->
-    <el-dialog class="stepDialog" title="瑙i姝ラ" :visible.sync="stepDialog" width="40%" :append-to-body="true"
-      :show-close="false">
-      <div slot="title" style="padding: 0; text-align: center; color: #333;display:flex;justify-content: center;">
-        <span>
-          瑙i姝ラ
-        </span>
-        <svg style="position: absolute; right:10px;cursor: pointer;" @click="stepDialog = false" t="1718596022986"
-          class="icon" viewBox="0 0 1024 1024" version="1.1" xmlns="http://www.w3.org/2000/svg" p-id="4252" width="20"
-          height="20" xmlns:xlink="http://www.w3.org/1999/xlink">
-          <path
-            d="M176.661601 817.172881C168.472798 825.644055 168.701706 839.149636 177.172881 847.338438 185.644056 855.527241 199.149636 855.298332 207.338438 846.827157L826.005105 206.827157C834.193907 198.355983 833.964998 184.850403 825.493824 176.661601 817.02265 168.472798 803.517069 168.701706 795.328267 177.172881L176.661601 817.172881Z"
-            fill="#979797" p-id="4253"></path>
-          <path
-            d="M795.328267 846.827157C803.517069 855.298332 817.02265 855.527241 825.493824 847.338438 833.964998 839.149636 834.193907 825.644055 826.005105 817.172881L207.338438 177.172881C199.149636 168.701706 185.644056 168.472798 177.172881 176.661601 168.701706 184.850403 168.472798 198.355983 176.661601 206.827157L795.328267 846.827157Z"
-            fill="#979797" p-id="4254"></path>
-        </svg>
-      </div>
-      <ul>
-        <li v-for="(item, index) in stepOne" :key="index">
-          <div v-if="item.isShow" style="display: flex">
-            <span style="position: relative">
-              <span style="position: absolute; top: 16px; left: 13px; color: #fff">{{ index + 1 }}</span>
-              <img src="../../assets/images/icon/blue-group.png" alt="" style="margin-right: 10px"
-                v-if="index < stepOne.length - 1" />
-              <img src="../../assets/images/icon/blue.png" alt="" v-if="index == stepOne.length - 1"
-                style="margin-right: 10px" />
-            </span>
-            <p class="txt-p">{{ item.txt }}</p>
-          </div>
-        </li>
-      </ul>
-      <div @click="showNextChange(stepIndex)" style="
-          display: flex;
-          flex-direction: column;
-          align-items: center;
-          justify-content: center;
-        ">
-        <img src="../../assets/images/icon/mouse.png" alt="" v-if="stepIndex != 2" />
+        <img src="../../assets/images/icon/mouse.png" alt="" v-if="showIndex < thinkData.length - 1" />
         <svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" t="1710234570135"
           class="icon" viewBox="0 0 1024 1024" version="1.1" p-id="5067" width="15" height="15">
           <path
@@ -2441,7 +2906,7 @@
   }
   return obj
 }
-const showObj = handleShow(30)
+const showObj = handleShow(50)
 export default {
   name: '',
   props: {
@@ -2466,7 +2931,6 @@
       isShowExampleFive: false,
       dialogVisible: false,
       thinkingDialog: false,
-      stepDialog: false,
       videoPath: "",
       stepIndex: 1,
       thinkIndex: 1,
@@ -2477,103 +2941,32 @@
         txtOne: "",
         txtTwo: "",
       },
+      showIndex:0,
+      thinkData:[],
       thinkOne: [
-        {
-          txt: "1:涓�涓嚱鏁版槸涓� 鏄伓鍑芥暟,鍙互鐢� 鍑芥暟鐨勫浘鍍忔槸鍚﹀叧 浜巠 杞� 瀵� 绉� 鏉� 鍒� 鏂�;褰撳嚱鏁扮敤瑙f瀽 娉曡〃绀烘椂,鍙互鐢� 鍋� 鍑� 鏁� 鐨� 瀹� 涔� 鏉� 鍒ゆ柇銆� 鍋跺嚱鏁�:涓�鑸湴锛岃鍑芥暟f(x)鐨勫畾涔夊煙涓篋锛屽鏋滃浜庝换鎰弜ED锛岄兘鏈塜ED锛屼笖f(-x)=f(x)锛岄偅涔堝嚱鏁癴(x)灏卞彨浣滃伓鍑芥暟",
-          isShow: true,
-        },
-        {
-          txt: "2:璁$畻f(-x)",
-          isShow: false,
-        },
-        {
-          txt: "3:鍒ゆ柇f(-x)鏄惁绛変簬f(x)",
-          isShow: false,
-        },
+        "1:涓�涓嚱鏁版槸涓� 鏄伓鍑芥暟,鍙互鐢� 鍑芥暟鐨勫浘鍍忔槸鍚﹀叧 浜巠 杞� 瀵� 绉� 鏉� 鍒� 鏂�;褰撳嚱鏁扮敤瑙f瀽 娉曡〃绀烘椂,鍙互鐢� 鍋� 鍑� 鏁� 鐨� 瀹� 涔� 鏉� 鍒ゆ柇銆� 鍋跺嚱鏁�:涓�鑸湴锛岃鍑芥暟f(x)鐨勫畾涔夊煙涓篋锛屽鏋滃浜庝换鎰弜ED锛岄兘鏈塜ED锛屼笖f(-x)=f(x)锛岄偅涔堝嚱鏁癴(x)灏卞彨浣滃伓鍑芥暟",
+        "2:璁$畻f(-x)",
+        "3:鍒ゆ柇f(-x)鏄惁绛変簬f(x)",
       ],
-      stepOne: [
-        {
-          txt: "1:(1)鍑芥暟f(x)=3x2+1鐨勫畾涔夊煙鏄疪锛屽浠绘剰XER锛岄兘鏈�-XER",
-          isShow: true,
-        },
-        {
-          txt: "2:f(-x)=3(-x)2+1=3x2+1=f(x)",
-          isShow: false,
-        },
+      thinkTwo:[
+        '鍥犱负<i>AB</i>鐨勯暱搴︿负<i>x</i>锛坢锛夛紝<i>BC</i>鐨勯暱搴︿负锛�12-<i>x</i>锛夛紙m锛夛紝鎵�浠ュ繀椤绘弧瓒�<i>x</i>锛�0涓�12-<i>x</i>锛�0鎵嶆湁瀹為檯鎰忎箟.'
       ],
-      dragQuestion: [
-        {
-          analysisCon: null,
-          answer: ['A', 'B', 'C'],
-          difficulty: 0,
-          id: "7BC7B760",
-          isCollect: false,
-          isComplete: false,
-          isRight: null,
-          isUnfold: "",
-          isUserAnswer: false,
-          number: 1,
-          option: [
-            {
-              img: "",
-              index: "010311",
-              txt: "鑳嗗皬鐨�",
-              value: "A",
-              isShow: true
-            },
-            {
-              img: "",
-              index: "010312",
-              txt: "鍠勮壇鐨�",
-              value: "B",
-              isShow: true
-            },
-            {
-              img: "",
-              index: "010313",
-              txt: "娌夌ǔ鐨�",
-              value: "C",
-              isShow: true
-            },
-          ],
-          optionStyle: "Txt",
-          questionType: "drag",
-          score: 2,
-          stem: {
-            0: "铓傝殎闃熼暱璧拌矾鏄傞鎸鸿兏銆佹浼愬潥瀹氾紝瀹冩槸涓�鍙�(",
-            1: {
-              data: "span",
-              num: 0
-            },
-            2: ")铓傝殎;灏忚殏铓佽蛋璧疯矾鏉ュ皬蹇冪考缈硷紝鐪肩椋樺拷涓嶅畾锛屽畠鏄竴鍙�(",
-            3: {
-              data: "span",
-              num: 1
-            },
-            4: ")铓傝殎;铓傝殎灏忓闈㈠甫寰瑧锛屾椂鍒绘効鎰忓府鍔╁ぇ瀹讹紝瀹冩槸涓�鍙�(",
-            5: {
-              data: "span",
-              num: 2,
-            },
-            6: " )铓傝殎"
-          },
-          stemStyle: "RichTxt",
-          type: "鎷栨嫿棰�",
-          userAnswer: [
-            {
-              vlaue: '',
-              txt: ''
-            },
-            {
-              vlaue: '',
-              txt: ''
-            },
-            {
-              vlaue: '',
-              txt: ''
-            },
-          ]
-        },
+      thinkThree:[
+        '璁$畻璇ュ啗鑸颁粠鍑哄彂鍦伴┒鍏ユ捣娓墍闇�瑕佺殑鏃堕棿锛屽氨鍙緱鍒板嚱鏁�<i>s</i>=<i>f</i>锛�<i>t</i>锛夌殑瀹氫箟鍩�.鐢ㄨВ鏋愭硶琛ㄧず鍑芥暟鍚庯紝鍐嶇敾鍑哄嚱鏁扮殑鍥惧儚.'
+      ],
+      thinkFour:[
+        '棣栧厛闇�鏄庣‘杩欎釜鍑芥暟鐨勫畾涔夊煙.鐢变簬灞呮皯鐢ㄧ數閲忎笉鍚岋紝鍏舵敹璐规爣鍑嗕篃涓嶅悓锛屾墍浠ヨ繖鏄垎娈靛嚱鏁�.鍏舵瑕佸帢娓呰嚜鍙橀噺<i>x</i>鍦ㄤ笉鍚岀殑鍙栧�艰寖鍥村唴涓庡洜鍙橀噺<i>y</i>涔嬮棿鐨勫搴斿叧绯伙紝骞跺垪鍑虹浉搴旂殑瑙f瀽寮忔潵瑙e喅鐩稿叧闂.'
+      ],
+      thinkFive:[
+        '棣栧厛姹傚嚭灏忔潕浠嶢鍩庡埌B鍩庡拰浠嶣鍩庤繑鍥濧鍩庡叡鑺辫垂鐨勬椂闂达紝鏄庣‘鍑芥暟鐨勫畾涔夊煙.灏忔潕鍘籅鍩庡拰杩斿洖A鍩庣殑杩囩▼涓紝<i>y</i>涓�<i>x</i>鍒嗗埆瀵瑰簲鐨勮В鏋愬紡涓嶇浉鍚岋紝鎵�浠ヨ鍑芥暟闇�鐢ㄥ垎娈靛嚱鏁拌〃绀�.'
+      ],
+      thinkSix:[
+        '棣栧厛闇�瑕佽绠楀鐢ㄦ潗鏂欏彲淇缓楗插吇瀹ゆ柊澧欑殑鎬婚暱锛涘洜姣忛棿楗插吇瀹ょ殑鍛ㄩ暱鏄畾鍊硷紝鎵�浠ヨ<i>AB</i>鐨勯暱涓�<i>x</i>锛坢锛夛紝灏卞彲浠ョ敤鍚�<i>x</i>鐨勪唬鏁板紡琛ㄧず<i>BC</i>鐨勯暱锛�',
+        '鍐嶇敤瑙f瀽娉曡〃绀烘�婚潰绉�<i>y</i>锛坢<sup>2</sup>锛変笌<i>x</i>锛坢锛夌殑鍑芥暟鍏崇郴锛涚劧鍚庡埄鐢ㄥ嚱鏁扮殑鎬ц川鏉ヨВ鍐抽棶棰�.'
+      ],
+      thinkSeven:[
+        '鍏堢敱鍥惧儚姹傚嚭涓�娆″嚱鏁扮殑瑙f瀽寮忥紝',
+        '鍐嶆牴鎹瘡鏈堟墍鑾峰埄娑�=锛堥攢鍞崟浠�-杩涗环锛壝楁瘡鏈堥攢鍞噺锛屽垪鍑烘瘡鏈堟墍鑾峰埄娑�<i>w</i>涓庨攢鍞崟浠�<i>x</i>鐨勫嚱鏁板叧绯�.'
       ]
     };
   },
@@ -2606,25 +2999,18 @@
       }
       this.handleChapterData();
     },
-        openMathDiaolog() {
+    openMathDiaolog() {
       this.dialogVisible = true;
     },
-    openThinkingDialog() {
-      this.thinkingDialog = true;
+    openDialog(queryData) {
+      this.thinkData = queryData
+      this.thinkingDialog = !this.thinkingDialog
     },
-    showNext(num) {
-      const number = this.thinkOne.findIndex((item, index) => index == num);
-      this.thinkOne[number].isShow = true;
-      if (this.thinkIndex <= 2) {
-        this.thinkIndex++;
-      }
+    closeDialog() {
+      this.showIndex = 0
     },
-    showNextChange(num) {
-      const number = this.stepOne.findIndex((item, index) => index == num);
-      this.stepOne[number].isShow = true;
-      if (this.stepIndex < 2) {
-        this.stepIndex++;
-      }
+    changeNext() {
+      if (this.showIndex < this.thinkData.length - 1) this.showIndex = this.showIndex + 1
     },
     //璧勬簮鏀惰棌浜嬩欢
     handleCollectResource(id, md5, resourcePath, resourceType, source, resourceName) {
@@ -2650,9 +3036,6 @@
 </script>
 
 <style lang="less" scoped>
-  
-
-
 li {
   list-style: none;
 }
diff --git a/src/books/mathBook/view/components/chapter004.vue b/src/books/mathBook/view/components/chapter004.vue
index 10b358f..8686c5e 100644
--- a/src/books/mathBook/view/components/chapter004.vue
+++ b/src/books/mathBook/view/components/chapter004.vue
@@ -335,67 +335,118 @@
           <p>
             <span class="zt-ls"><b>渚�1</b></span>銆�璁$畻.
           </p>
-          <p>
-            锛�1锛�
-            <math display="0">
-              <mroot>
-                <msup>
-                  <mn>5</mn>
-                  <mrow>
-                    <mn>3</mn>
-                  </mrow>
-                </msup>
-                <mn>3</mn>
-              </mroot>
-            </math>锛涳紙2锛�
-            <math display="0">
-              <mroot>
-                <msup>
-                  <mrow data-mjx-texclass="INNER">
-                    <mo data-mjx-texclass="OPEN">(</mo>
-                    <mo>鈭�</mo>
+          <p class="p-btn" >
+            <span>锛�1锛�
+              <math display="0">
+                <mroot>
+                  <msup>
                     <mn>5</mn>
-                    <mo data-mjx-texclass="CLOSE">)</mo>
-                  </mrow>
-                  <mrow>
-                    <mn>3</mn>
-                  </mrow>
-                </msup>
-                <mn>3</mn>
-              </mroot>
-            </math>锛涳紙3锛�
-            <math display="0">
-              <mroot>
-                <msup>
-                  <mn>7</mn>
-                  <mrow>
-                    <mn>4</mn>
-                  </mrow>
-                </msup>
-                <mn>4</mn>
-              </mroot>
-            </math>锛�
+                    <mrow>
+                      <mn>3</mn>
+                    </mrow>
+                  </msup>
+                  <mn>3</mn>
+                </mroot>
+              </math>锛�
+            </span>
+            <span class="btn-box" @click="isShowAnswer0 = !isShowAnswer0">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p>
-            锛�4锛�
-            <math display="0">
-              <mroot>
-                <msup>
-                  <mrow data-mjx-texclass="INNER">
-                    <mo data-mjx-texclass="OPEN">(</mo>
-                    <mo>鈭�</mo>
+          <p class="p-btn" >
+            <span>
+                锛�2锛�
+              <math display="0">
+                <mroot>
+                  <msup>
+                    <mrow data-mjx-texclass="INNER">
+                      <mo data-mjx-texclass="OPEN">(</mo>
+                      <mo>鈭�</mo>
+                      <mn>5</mn>
+                      <mo data-mjx-texclass="CLOSE">)</mo>
+                    </mrow>
+                    <mrow>
+                      <mn>3</mn>
+                    </mrow>
+                  </msup>
+                  <mn>3</mn>
+                </mroot>
+              </math>锛�
+            </span>
+            <span class="btn-box" @click="isShowAnswer1 = !isShowAnswer1">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <p class="p-btn" >
+            <span>
+              锛�3锛�
+              <math display="0">
+                <mroot>
+                  <msup>
                     <mn>7</mn>
-                    <mo data-mjx-texclass="CLOSE">)</mo>
-                  </mrow>
-                  <mrow>
-                    <mn>4</mn>
-                  </mrow>
-                </msup>
-                <mn>4</mn>
-              </mroot>
-            </math>锛涳紙5锛� 81鐨�4娆℃柟鏍�.
+                    <mrow>
+                      <mn>4</mn>
+                    </mrow>
+                  </msup>
+                  <mn>4</mn>
+                </mroot>
+              </math>锛�
+            </span>
+            <span class="btn-box" @click="isShowAnswer2 = !isShowAnswer2">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p>
+          <p class="p-btn" >
+            <span>
+              锛�4锛�
+              <math display="0">
+                <mroot>
+                  <msup>
+                    <mrow data-mjx-texclass="INNER">
+                      <mo data-mjx-texclass="OPEN">(</mo>
+                      <mo>鈭�</mo>
+                      <mn>7</mn>
+                      <mo data-mjx-texclass="CLOSE">)</mo>
+                    </mrow>
+                    <mrow>
+                      <mn>4</mn>
+                    </mrow>
+                  </msup>
+                  <mn>4</mn>
+                </mroot>
+              </math>锛�
+            </span>
+            <span class="btn-box" @click="isShowAnswer3 = !isShowAnswer3">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <p class="p-btn" >
+            <span>锛�5锛� 81鐨�4娆℃柟鏍�.</span>
+            <span class="btn-box" @click="isShowAnswer4 = !isShowAnswer4">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <p v-if="isShowAnswer0" >
             <span class="zt-ls"><b>瑙�</b></span>锛�1锛�<math display="0">
               <mroot>
                 <msup>
@@ -410,7 +461,7 @@
               <mn>5</mn>
             </math>锛�
           </p>
-          <p>
+          <p v-if="isShowAnswer1" >
             锛�2锛�
             <math display="0">
               <mroot>
@@ -432,7 +483,7 @@
               <mn>5</mn>
             </math>锛�
           </p>
-          <p>
+          <p v-if="isShowAnswer2" >
             锛�3锛�
             <math display="0">
               <mroot>
@@ -452,7 +503,7 @@
               <mn>7</mn>
             </math>锛�
           </p>
-          <p>
+          <p v-if="isShowAnswer3" >
             锛�4锛�
             <math display="0">
               <mroot>
@@ -480,7 +531,7 @@
               <mn>7</mn>
             </math>锛�
           </p>
-          <p>
+          <p v-if="isShowAnswer4" >
             锛�5锛� 鍥犱负锛埪�3锛�<sup>4</sup>=81锛屾墍浠�81鐨�4娆℃柟鏍规槸卤3锛屽嵆<math display="0">
               <mo>卤</mo>
               <mroot>
@@ -495,46 +546,67 @@
           <p>
             <span class="zt-ls"><b>渚�2</b></span>銆�鍖栫畝.
           </p>
-          <p>
-            锛�1锛�
-            <math display="0">
-              <mroot>
-                <msup>
-                  <mrow data-mjx-texclass="INNER">
-                    <mo data-mjx-texclass="OPEN">(</mo>
-                    <mn>3</mn>
-                    <mo>鈭�</mo>
-                    <mi>a</mi>
-                    <mo data-mjx-texclass="CLOSE">)</mo>
-                  </mrow>
-                  <mrow>
-                    <mn>3</mn>
-                  </mrow>
-                </msup>
-                <mn>3</mn>
-              </mroot>
-            </math>锛涳紙2锛�
-            <math display="0">
-              <mroot>
-                <msup>
-                  <mrow data-mjx-texclass="INNER">
-                    <mo data-mjx-texclass="OPEN">(</mo>
-                    <mn>3</mn>
-                    <mo>鈭�</mo>
-                    <mrow>
-                      <mi>蟺</mi>
+          <p class="p-btn" >
+            <span>  
+              锛�1锛�
+              <math display="0">
+                <mroot>
+                  <msup>
+                    <mrow data-mjx-texclass="INNER">
+                      <mo data-mjx-texclass="OPEN">(</mo>
+                      <mn>3</mn>
+                      <mo>鈭�</mo>
+                      <mi>a</mi>
+                      <mo data-mjx-texclass="CLOSE">)</mo>
                     </mrow>
-                    <mo data-mjx-texclass="CLOSE">)</mo>
-                  </mrow>
-                  <mrow>
-                    <mn>4</mn>
-                  </mrow>
-                </msup>
-                <mn>4</mn>
-              </mroot>
-            </math>.
+                    <mrow>
+                      <mn>3</mn>
+                    </mrow>
+                  </msup>
+                  <mn>3</mn>
+                </mroot>
+              </math>锛�
+            </span>
+            <span class="btn-box" @click="isShowAnswer5 = !isShowAnswer5">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p>
+          <p class="p-btn" >
+            <span>
+              锛�2锛�
+              <math display="0">
+                <mroot>
+                  <msup>
+                    <mrow data-mjx-texclass="INNER">
+                      <mo data-mjx-texclass="OPEN">(</mo>
+                      <mn>3</mn>
+                      <mo>鈭�</mo>
+                      <mrow>
+                        <mi>蟺</mi>
+                      </mrow>
+                      <mo data-mjx-texclass="CLOSE">)</mo>
+                    </mrow>
+                    <mrow>
+                      <mn>4</mn>
+                    </mrow>
+                  </msup>
+                  <mn>4</mn>
+                </mroot>
+              </math>.
+            </span>
+            <span class="btn-box" @click="isShowAnswer6 = !isShowAnswer6">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <p v-if="isShowAnswer5" >
             <span class="zt-ls"><b>瑙�</b></span>锛�1锛�
             <math display="0">
               <mroot>
@@ -558,7 +630,7 @@
               <mi>a</mi>
             </math>锛�
           </p>
-          <p>
+          <p v-if="isShowAnswer6" >
             锛�2锛�
             <math display="0">
               <mroot>
@@ -885,46 +957,79 @@
           <p>
             <span class="zt-ls"><b>渚�3</b></span>銆�灏嗕笅鍒楁牴寮忕敤鍒嗘暟鎸囨暟骞傝〃绀猴紙寮忎腑瀛楁瘝鍧囦负姝e疄鏁帮級.
           </p>
-          <p>
-            锛�1锛�
-            <math display="0">
-              <mroot>
-                <msup>
-                  <mi>a</mi>
-                  <mrow>
-                    <mn>3</mn>
-                  </mrow>
-                </msup>
-                <mn>4</mn>
-              </mroot>
-            </math>锛涳紙2锛�
-            <math display="0">
-              <mroot>
-                <msup>
-                  <mi>x</mi>
-                  <mrow>
-                    <mn>2</mn>
-                  </mrow>
-                </msup>
-                <mn>6</mn>
-              </mroot>
-            </math>锛涳紙3锛�
-            <math display="0">
-              <mfrac>
-                <mn>1</mn>
+          <p class="p-btn" >
+            <span>
+              锛�1锛�
+              <math display="0">
                 <mroot>
                   <msup>
-                    <mn>5</mn>
+                    <mi>a</mi>
                     <mrow>
                       <mn>3</mn>
                     </mrow>
                   </msup>
                   <mn>4</mn>
                 </mroot>
-              </mfrac>
-            </math>.
+              </math>锛�
+            </span>
+            <span class="btn-box" @click="isShowAnswer7 = !isShowAnswer7">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p>
+          <p class="p-btn" >
+            <span>
+              锛�2锛�
+              <math display="0">
+                <mroot>
+                  <msup>
+                    <mi>x</mi>
+                    <mrow>
+                      <mn>2</mn>
+                    </mrow>
+                  </msup>
+                  <mn>6</mn>
+                </mroot>
+              </math>锛�
+            </span>
+            <span class="btn-box" @click="isShowAnswer8 = !isShowAnswer8">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <p class="p-btn" >
+            <span>
+              锛�3锛�
+              <math display="0">
+                <mfrac>
+                  <mn>1</mn>
+                  <mroot>
+                    <msup>
+                      <mn>5</mn>
+                      <mrow>
+                        <mn>3</mn>
+                      </mrow>
+                    </msup>
+                    <mn>4</mn>
+                  </mroot>
+                </mfrac>
+              </math>.
+            </span>
+            <span class="btn-box" @click="isShowAnswer9 = !isShowAnswer9">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <p v-if="isShowAnswer7" >
             <span class="zt-ls"><b>瑙�</b></span>锛�1锛�
             <math display="0">
               <mroot>
@@ -948,7 +1053,7 @@
               </msup>
             </math>锛�
           </p>
-          <p>
+          <p v-if="isShowAnswer8" >
             锛�2锛�
             <math display="0">
               <mroot>
@@ -982,7 +1087,7 @@
               </msup>
             </math>锛�
           </p>
-          <p>
+          <p v-if="isShowAnswer9" >
             锛�3锛�
             <math display="0">
               <mfrac>
@@ -1026,51 +1131,72 @@
           <p>
             <span class="zt-ls"><b>渚�4</b></span>銆�鍖栫畝锛堝紡涓瓧姣嶅潎涓烘瀹炴暟锛�.
           </p>
-          <p>
-            锛�1锛�<math display="0">
-              <msup>
-                <mn>27</mn>
-                <mrow>
-                  <mo>鈭�</mo>
-                  <mfrac>
-                    <mn>1</mn>
-                    <mn>3</mn>
-                  </mfrac>
-                </mrow>
-              </msup>
-            </math>锛涳紙2锛�
-            <math display="0">
-              <msup>
-                <mrow data-mjx-texclass="INNER">
-                  <mo data-mjx-texclass="OPEN">(</mo>
-                  <msup>
-                    <mi>a</mi>
-                    <mrow>
-                      <mfrac>
-                        <mn>1</mn>
-                        <mn>2</mn>
-                      </mfrac>
-                    </mrow>
-                  </msup>
-                  <msup>
-                    <mi>b</mi>
-                    <mrow>
-                      <mo>鈭�</mo>
-                      <mfrac>
-                        <mn>3</mn>
-                        <mn>4</mn>
-                      </mfrac>
-                    </mrow>
-                  </msup>
-                  <mo data-mjx-texclass="CLOSE">)</mo>
-                </mrow>
-                <mrow>
-                  <mn>8</mn>
-                </mrow>
-              </msup>
-            </math>.
+          <p class="p-btn" >
+            <span>
+              锛�1锛�<math display="0">
+                <msup>
+                  <mn>27</mn>
+                  <mrow>
+                    <mo>鈭�</mo>
+                    <mfrac>
+                      <mn>1</mn>
+                      <mn>3</mn>
+                    </mfrac>
+                  </mrow>
+                </msup>
+              </math>锛�
+            </span>
+            <span class="btn-box" @click="isShowAnswer10 = !isShowAnswer10">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p>
+          <p class="p-btn" >
+            <span>
+              锛�2锛�
+              <math display="0">
+                <msup>
+                  <mrow data-mjx-texclass="INNER">
+                    <mo data-mjx-texclass="OPEN">(</mo>
+                    <msup>
+                      <mi>a</mi>
+                      <mrow>
+                        <mfrac>
+                          <mn>1</mn>
+                          <mn>2</mn>
+                        </mfrac>
+                      </mrow>
+                    </msup>
+                    <msup>
+                      <mi>b</mi>
+                      <mrow>
+                        <mo>鈭�</mo>
+                        <mfrac>
+                          <mn>3</mn>
+                          <mn>4</mn>
+                        </mfrac>
+                      </mrow>
+                    </msup>
+                    <mo data-mjx-texclass="CLOSE">)</mo>
+                  </mrow>
+                  <mrow>
+                    <mn>8</mn>
+                  </mrow>
+                </msup>
+              </math>.
+            </span>
+            <span class="btn-box" @click="isShowAnswer11 = !isShowAnswer11">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <p v-if="isShowAnswer10" >
             <span class="zt-ls"><b>瑙�</b></span>锛�1锛�<math display="0">
               <msup>
                 <mn>27</mn>
@@ -1110,7 +1236,7 @@
               </mfrac>
             </math>锛�
           </p>
-          <p>
+          <p v-if="isShowAnswer11" >
             锛�2锛�<math display="0">
               <msup>
                 <mrow data-mjx-texclass="INNER">
@@ -1337,7 +1463,7 @@
             <p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p>
           </li>
           <li>
-            <p><span>119</span></p>
+            <p><span>119-120</span></p>
           </li>
         </ul>
         <div class="padding-116">
@@ -1355,284 +1481,315 @@
           <p>
             <span class="zt-ls"><b>渚�1</b></span>銆�璁$畻锛堝紡涓瓧姣嶅潎涓烘瀹炴暟锛�.
           </p>
-          <p>
-            锛�1锛�<math display="0">
-              <msup>
-                <mn>16</mn>
-                <mrow>
-                  <mfrac>
-                    <mn>1</mn>
-                    <mn>4</mn>
-                  </mfrac>
-                </mrow>
-              </msup>
-              <mo>鈭�</mo>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
+          <p class="p-btn" >
+            <span>
+              锛�1锛�<math display="0">
                 <msup>
-                  <mfrac>
-                    <mn>1</mn>
-                    <mn>27</mn>
-                  </mfrac>
+                  <mn>16</mn>
                   <mrow>
-                    <mo>鈭�</mo>
                     <mfrac>
                       <mn>1</mn>
-                      <mn>3</mn>
+                      <mn>4</mn>
                     </mfrac>
                   </mrow>
                 </msup>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-              <mo>+</mo>
-              <msup>
-                <mrow data-mjx-texclass="INNER">
-                  <mo data-mjx-texclass="OPEN">锛�</mo>
-                  <msqrt>
-                    <mn>2</mn>
-                  </msqrt>
-                  <mo>鈭�</mo>
-                  <mn>1</mn>
-                  <mo data-mjx-texclass="CLOSE">锛�</mo>
-                </mrow>
-                <mrow>
-                  <mn>0</mn>
-                </mrow>
-              </msup>
-            </math>锛涳紙2锛�
-            <math display="0">
-              <msup>
+                <mo>鈭�</mo>
                 <mrow data-mjx-texclass="INNER">
                   <mo data-mjx-texclass="OPEN">(</mo>
                   <msup>
-                    <mi>a</mi>
+                    <mfrac>
+                      <mn>1</mn>
+                      <mn>27</mn>
+                    </mfrac>
                     <mrow>
                       <mo>鈭�</mo>
-                      <mn>3</mn>
-                    </mrow>
-                  </msup>
-                  <msup>
-                    <mi>b</mi>
-                    <mrow>
-                      <mn>5</mn>
-                    </mrow>
-                  </msup>
-                  <mo data-mjx-texclass="CLOSE">)</mo>
-                </mrow>
-                <mrow>
-                  <mfrac>
-                    <mn>1</mn>
-                    <mn>5</mn>
-                  </mfrac>
-                </mrow>
-              </msup>
-              <mo>鈰�</mo>
-              <msup>
-                <mrow data-mjx-texclass="INNER">
-                  <mo data-mjx-texclass="OPEN">(</mo>
-                  <msup>
-                    <mi>a</mi>
-                    <mrow>
-                      <mn>2</mn>
-                    </mrow>
-                  </msup>
-                  <mo data-mjx-texclass="CLOSE">)</mo>
-                </mrow>
-                <mrow>
-                  <mfrac>
-                    <mn>1</mn>
-                    <mn>5</mn>
-                  </mfrac>
-                </mrow>
-              </msup>
-              <mo>梅</mo>
-              <msup>
-                <mrow data-mjx-texclass="INNER">
-                  <mo data-mjx-texclass="OPEN">(</mo>
-                  <msup>
-                    <mi>a</mi>
-                    <mrow>
-                      <mn>3</mn>
-                    </mrow>
-                  </msup>
-                  <msup>
-                    <mi>b</mi>
-                    <mrow>
                       <mfrac>
-                        <mn>5</mn>
+                        <mn>1</mn>
                         <mn>3</mn>
                       </mfrac>
                     </mrow>
                   </msup>
                   <mo data-mjx-texclass="CLOSE">)</mo>
                 </mrow>
-                <mrow>
-                  <mfrac>
-                    <mn>3</mn>
-                    <mn>5</mn>
-                  </mfrac>
-                </mrow>
-              </msup>
-            </math>.
-          </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>
-          </p>
-          <p class="left1">
-            <math display="">
-              <mtable columnalign="left" columnspacing="1em" rowspacing="4pt">
-                <mtr>
-                  <mtd>
-                    <mtext>锛�1锛�</mtext>
-                    <msup>
-                      <mn>16</mn>
-                      <mrow>
-                        <mfrac>
-                          <mn>1</mn>
-                          <mn>4</mn>
-                        </mfrac>
-                      </mrow>
-                    </msup>
-                    <mo>鈭�</mo>
-                    <msup>
-                      <mrow data-mjx-texclass="INNER">
-                        <mo data-mjx-texclass="OPEN">(</mo>
-                        <mfrac>
-                          <mn>1</mn>
-                          <mn>27</mn>
-                        </mfrac>
-                        <mo data-mjx-texclass="CLOSE">)</mo>
-                      </mrow>
-                      <mrow>
-                        <mo>鈭�</mo>
-                        <mfrac>
-                          <mn>1</mn>
-                          <mn>3</mn>
-                        </mfrac>
-                      </mrow>
-                    </msup>
-                    <mo>+</mo>
-                    <mo stretchy="false">(</mo>
+                <mo>+</mo>
+                <msup>
+                  <mrow data-mjx-texclass="INNER">
+                    <mo data-mjx-texclass="OPEN">锛�</mo>
                     <msqrt>
                       <mn>2</mn>
                     </msqrt>
                     <mo>鈭�</mo>
                     <mn>1</mn>
+                    <mo data-mjx-texclass="CLOSE">锛�</mo>
+                  </mrow>
+                  <mrow>
+                    <mn>0</mn>
+                  </mrow>
+                </msup>
+              </math>锛�
+            </span>
+            <span class="btn-box" @click="isShowAnswer12 = !isShowAnswer12">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <p class="p-btn" >
+            <span>
+              锛�2锛�
+              <math display="0">
+                <msup>
+                  <mrow data-mjx-texclass="INNER">
+                    <mo data-mjx-texclass="OPEN">(</mo>
                     <msup>
-                      <mo stretchy="false">)</mo>
-                      <mrow>
-                        <mn>0</mn>
-                      </mrow>
-                    </msup>
-                  </mtd>
-                </mtr>
-                <mtr>
-                  <mtd>
-                    <mo>=</mo>
-                    <msup>
-                      <mrow data-mjx-texclass="INNER">
-                        <mo data-mjx-texclass="OPEN">(</mo>
-                        <msup>
-                          <mn>2</mn>
-                          <mrow>
-                            <mn>4</mn>
-                          </mrow>
-                        </msup>
-                        <mo data-mjx-texclass="CLOSE">)</mo>
-                      </mrow>
-                      <mrow>
-                        <mfrac>
-                          <mn>1</mn>
-                          <mn>4</mn>
-                        </mfrac>
-                      </mrow>
-                    </msup>
-                    <mo>鈭�</mo>
-                    <msup>
-                      <mrow data-mjx-texclass="INNER">
-                        <mo data-mjx-texclass="OPEN">[</mo>
-                        <msup>
-                          <mrow data-mjx-texclass="INNER">
-                            <mo data-mjx-texclass="OPEN">(</mo>
-                            <mfrac>
-                              <mn>1</mn>
-                              <mn>3</mn>
-                            </mfrac>
-                            <mo data-mjx-texclass="CLOSE">)</mo>
-                          </mrow>
-                          <mrow>
-                            <mn>3</mn>
-                          </mrow>
-                        </msup>
-                        <mo data-mjx-texclass="CLOSE">]</mo>
-                      </mrow>
+                      <mi>a</mi>
                       <mrow>
                         <mo>鈭�</mo>
-                        <mfrac>
-                          <mn>1</mn>
-                          <mn>3</mn>
-                        </mfrac>
+                        <mn>3</mn>
                       </mrow>
                     </msup>
-                    <mo>+</mo>
-                    <mn>1</mn>
-                  </mtd>
-                </mtr>
-                <mtr>
-                  <mtd>
-                    <mo>=</mo>
                     <msup>
-                      <mn>2</mn>
+                      <mi>b</mi>
                       <mrow>
-                        <mn>4</mn>
-                        <mo>脳</mo>
-                        <mfrac>
-                          <mn>1</mn>
-                          <mn>4</mn>
-                        </mfrac>
+                        <mn>5</mn>
                       </mrow>
                     </msup>
-                    <mo>鈭�</mo>
+                    <mo data-mjx-texclass="CLOSE">)</mo>
+                  </mrow>
+                  <mrow>
+                    <mfrac>
+                      <mn>1</mn>
+                      <mn>5</mn>
+                    </mfrac>
+                  </mrow>
+                </msup>
+                <mo>鈰�</mo>
+                <msup>
+                  <mrow data-mjx-texclass="INNER">
+                    <mo data-mjx-texclass="OPEN">(</mo>
                     <msup>
-                      <mrow data-mjx-texclass="INNER">
-                        <mo data-mjx-texclass="OPEN">(</mo>
-                        <mfrac>
-                          <mn>1</mn>
-                          <mn>3</mn>
-                        </mfrac>
-                        <mo data-mjx-texclass="CLOSE">)</mo>
+                      <mi>a</mi>
+                      <mrow>
+                        <mn>2</mn>
                       </mrow>
+                    </msup>
+                    <mo data-mjx-texclass="CLOSE">)</mo>
+                  </mrow>
+                  <mrow>
+                    <mfrac>
+                      <mn>1</mn>
+                      <mn>5</mn>
+                    </mfrac>
+                  </mrow>
+                </msup>
+                <mo>梅</mo>
+                <msup>
+                  <mrow data-mjx-texclass="INNER">
+                    <mo data-mjx-texclass="OPEN">(</mo>
+                    <msup>
+                      <mi>a</mi>
                       <mrow>
                         <mn>3</mn>
-                        <mo>脳</mo>
+                      </mrow>
+                    </msup>
+                    <msup>
+                      <mi>b</mi>
+                      <mrow>
+                        <mfrac>
+                          <mn>5</mn>
+                          <mn>3</mn>
+                        </mfrac>
+                      </mrow>
+                    </msup>
+                    <mo data-mjx-texclass="CLOSE">)</mo>
+                  </mrow>
+                  <mrow>
+                    <mfrac>
+                      <mn>3</mn>
+                      <mn>5</mn>
+                    </mfrac>
+                  </mrow>
+                </msup>
+              </math>.
+            </span>
+            <span class="btn-box" @click="isShowAnswer13 = !isShowAnswer13">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <div v-if="isShowAnswer12" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>
+            </p>
+            <p class="left1">
+              <math display="">
+                <mtable columnalign="left" columnspacing="1em" rowspacing="4pt">
+                  <mtr>
+                    <mtd>
+                      <mtext>锛�1锛�</mtext>
+                      <msup>
+                        <mn>16</mn>
+                        <mrow>
+                          <mfrac>
+                            <mn>1</mn>
+                            <mn>4</mn>
+                          </mfrac>
+                        </mrow>
+                      </msup>
+                      <mo>鈭�</mo>
+                      <msup>
                         <mrow data-mjx-texclass="INNER">
                           <mo data-mjx-texclass="OPEN">(</mo>
+                          <mfrac>
+                            <mn>1</mn>
+                            <mn>27</mn>
+                          </mfrac>
+                          <mo data-mjx-texclass="CLOSE">)</mo>
+                        </mrow>
+                        <mrow>
                           <mo>鈭�</mo>
+                          <mfrac>
+                            <mn>1</mn>
+                            <mn>3</mn>
+                          </mfrac>
+                        </mrow>
+                      </msup>
+                      <mo>+</mo>
+                      <mo stretchy="false">(</mo>
+                      <msqrt>
+                        <mn>2</mn>
+                      </msqrt>
+                      <mo>鈭�</mo>
+                      <mn>1</mn>
+                      <msup>
+                        <mo stretchy="false">)</mo>
+                        <mrow>
+                          <mn>0</mn>
+                        </mrow>
+                      </msup>
+                    </mtd>
+                  </mtr>
+                  <mtr>
+                    <mtd>
+                      <mo>=</mo>
+                      <msup>
+                        <mrow data-mjx-texclass="INNER">
+                          <mo data-mjx-texclass="OPEN">(</mo>
+                          <msup>
+                            <mn>2</mn>
+                            <mrow>
+                              <mn>4</mn>
+                            </mrow>
+                          </msup>
+                          <mo data-mjx-texclass="CLOSE">)</mo>
+                        </mrow>
+                        <mrow>
+                          <mfrac>
+                            <mn>1</mn>
+                            <mn>4</mn>
+                          </mfrac>
+                        </mrow>
+                      </msup>
+                      <mo>鈭�</mo>
+                      <msup>
+                        <mrow data-mjx-texclass="INNER">
+                          <mo data-mjx-texclass="OPEN">[</mo>
+                          <msup>
+                            <mrow data-mjx-texclass="INNER">
+                              <mo data-mjx-texclass="OPEN">(</mo>
+                              <mfrac>
+                                <mn>1</mn>
+                                <mn>3</mn>
+                              </mfrac>
+                              <mo data-mjx-texclass="CLOSE">)</mo>
+                            </mrow>
+                            <mrow>
+                              <mn>3</mn>
+                            </mrow>
+                          </msup>
+                          <mo data-mjx-texclass="CLOSE">]</mo>
+                        </mrow>
+                        <mrow>
+                          <mo>鈭�</mo>
+                          <mfrac>
+                            <mn>1</mn>
+                            <mn>3</mn>
+                          </mfrac>
+                        </mrow>
+                      </msup>
+                      <mo>+</mo>
+                      <mn>1</mn>
+                    </mtd>
+                  </mtr>
+                  <mtr>
+                    <mtd>
+                      <mo>=</mo>
+                      <msup>
+                        <mn>2</mn>
+                        <mrow>
+                          <mn>4</mn>
+                          <mo>脳</mo>
+                          <mfrac>
+                            <mn>1</mn>
+                            <mn>4</mn>
+                          </mfrac>
+                        </mrow>
+                      </msup>
+                      <mo>鈭�</mo>
+                      <msup>
+                        <mrow data-mjx-texclass="INNER">
+                          <mo data-mjx-texclass="OPEN">(</mo>
                           <mfrac>
                             <mn>1</mn>
                             <mn>3</mn>
                           </mfrac>
                           <mo data-mjx-texclass="CLOSE">)</mo>
                         </mrow>
-                      </mrow>
-                    </msup>
-                    <mo>+</mo>
-                    <mn>1</mn>
-                  </mtd>
-                </mtr>
-                <mtr>
-                  <mtd>
-                    <mo>=</mo>
-                    <mn>2</mn>
-                    <mo>鈭�</mo>
-                    <mn>3</mn>
-                    <mo>+</mo>
-                    <mn>1</mn>
-                    <mo>=</mo>
-                    <mn>0</mn>
-                    <mo>;</mo>
-                  </mtd>
-                </mtr>
+                        <mrow>
+                          <mn>3</mn>
+                          <mo>脳</mo>
+                          <mrow data-mjx-texclass="INNER">
+                            <mo data-mjx-texclass="OPEN">(</mo>
+                            <mo>鈭�</mo>
+                            <mfrac>
+                              <mn>1</mn>
+                              <mn>3</mn>
+                            </mfrac>
+                            <mo data-mjx-texclass="CLOSE">)</mo>
+                          </mrow>
+                        </mrow>
+                      </msup>
+                      <mo>+</mo>
+                      <mn>1</mn>
+                    </mtd>
+                  </mtr>
+                  <mtr>
+                    <mtd>
+                      <mo>=</mo>
+                      <mn>2</mn>
+                      <mo>鈭�</mo>
+                      <mn>3</mn>
+                      <mo>+</mo>
+                      <mn>1</mn>
+                      <mo>=</mo>
+                      <mn>0</mn>
+                      <mo>;</mo>
+                    </mtd>
+                  </mtr>
+                </mtable>
+              </math>
+            </p>
+          </div>
+          <p  v-if="isShowAnswer13" class="left1">
+            <math display="">
+              <mtable columnalign="left" columnspacing="1em" rowspacing="4pt">
+
+
                 <mtr>
                   <mtd>
                     <mtext>锛�2锛�</mtext>
@@ -1838,85 +1995,113 @@
               </mtable>
             </math>
           </p>
-          <p>
-            <span class="zt-ls"><b>渚�2</b></span>銆�鍖栫畝锛堝紡涓瓧姣嶅潎涓烘瀹炴暟锛�.
+          <p class="p-btn" >
+            <span>
+              <span class="zt-ls"><b>渚�2</b></span>銆�鍖栫畝锛堝紡涓瓧姣嶅潎涓烘瀹炴暟锛�.
+            </span>
+            <span class="btn-box" @click="openDialog(thinkOne)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.545" height="18.112" viewBox="0 0 20.545 22.112">
+                <path class="a"
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-            锛�1锛�
-            <math display="0">
-              <msqrt>
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-            <math display="0">
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-                    <mo>鈭�</mo>
-                    <mn>3</mn>
-                  </mrow>
-                </msup>
-              </msqrt>
-              <mo>路</mo>
-              <mroot>
-                <mrow>
+          <p class="p-btn" >
+            <span>
+              锛�1锛�
+              <math display="0">
+                <msqrt>
+                  <mn>2</mn>
+                </msqrt>
+                <mo>脳</mo>
+                <mroot>
+                  <mn>8</mn>
+                  <mn>4</mn>
+                </mroot>
+                <mo>脳</mo>
+                <mroot>
+                  <mn>64</mn>
+                  <mn>8</mn>
+                </mroot>
+              </math>锛�
+            </span>
+            <span class="btn-box" @click="isShowAnswer14 = !isShowAnswer14">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <p class="p-btn" >
+            <span>
+              锛�2锛�
+              <math display="0">
+                <msqrt>
                   <msup>
                     <mi>a</mi>
                     <mrow>
+                      <mn>3</mn>
+                    </mrow>
+                  </msup>
+                  <msup>
+                    <mi>b</mi>
+                    <mrow>
                       <mo>鈭�</mo>
-                      <mn>2</mn>
+                      <mn>3</mn>
                     </mrow>
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-                  <msup>
-                    <mi>b</mi>
-                    <mrow>
-                      <mn>2</mn>
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-                <mn>3</mn>
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-              <mo>路</mo>
-              <mroot>
-                <mrow>
-                  <mi>a</mi>
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-                    <mi>b</mi>
-                    <mrow>
-                      <mn>5</mn>
-                    </mrow>
-                  </msup>
-                </mrow>
-                <mn>6</mn>
-              </mroot>
-            </math>.
+                </msqrt>
+                <mo>路</mo>
+                <mroot>
+                  <mrow>
+                    <msup>
+                      <mi>a</mi>
+                      <mrow>
+                        <mo>鈭�</mo>
+                        <mn>2</mn>
+                      </mrow>
+                    </msup>
+                    <msup>
+                      <mi>b</mi>
+                      <mrow>
+                        <mn>2</mn>
+                      </mrow>
+                    </msup>
+                  </mrow>
+                  <mn>3</mn>
+                </mroot>
+                <mo>路</mo>
+                <mroot>
+                  <mrow>
+                    <mi>a</mi>
+                    <msup>
+                      <mi>b</mi>
+                      <mrow>
+                        <mn>5</mn>
+                      </mrow>
+                    </msup>
+                  </mrow>
+                  <mn>6</mn>
+                </mroot>
+              </math>.
+            </span>
+            <span class="btn-box" @click="isShowAnswer15 = !isShowAnswer15">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p class="block">
-            <span class="zt-ls2"><b>鍒嗘瀽</b></span>銆�杩愮畻鎬濊矾鏄皢鏍瑰紡杞寲涓哄垎鏁版寚鏁板箓锛岀劧鍚庡啀鍖栫畝杩愮畻.
-          </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>
-          </p>
-          <math display="">
-            <mtable columnalign="left" columnspacing="1em" rowspacing="4pt">
-              <mtr>
+          <div v-if="isShowAnswer14" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>
+            </p>
+            <math display="">
+              <mtable columnalign="left" columnspacing="1em" rowspacing="4pt">
+                <mtr>
                 <mtd>
                   <mo stretchy="false">锛�1锛�</mo>
                   <msqrt>
@@ -2054,6 +2239,12 @@
                   <mo>;</mo>
                 </mtd>
               </mtr>
+              </mtable>
+            </math>
+          </div>
+
+          <math v-if="isShowAnswer15" display="">
+            <mtable columnalign="left" columnspacing="1em" rowspacing="4pt">
               <mtr>
                 <mtd>
                   <mtext>锛�2锛�</mtext>
@@ -2307,135 +2498,137 @@
               </mtr>
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-        </div>
-      </div>
-    </div>
-    <!-- 120 -->
-    <div class="page-box" page="127">
-      <div v-if="showPageList.indexOf(127) > -1">
-        <ul class="page-header-odd fl al-end">
-          <li>120</li>
-          <li>鏁板.鍩虹妯″潡</li>
-          <li>涓婂唽</li>
-        </ul>
-        <div class="padding-116">
-          <p>
-            <span class="zt-ls"><b>渚�3</b></span>銆�璁$畻
-            2<sup>0</sup>+2<sup>1</sup>+2<sup>2</sup>+2<sup>3</sup>+鈥�+2<i><sup>x</sup></i>锛�<i>x</i>鈭�<b>N</b>锛�.
+          <p class="p-btn" >
+            <span>
+              <span class="zt-ls"><b>渚�3</b></span>銆�璁$畻
+              2<sup>0</sup>+2<sup>1</sup>+2<sup>2</sup>+2<sup>3</sup>+鈥�+2<i><sup>x</sup></i>锛�<i>x</i>鈭�<b>N</b>锛�.
+            </span>
+            <span class="btn-box" @click="isShowAnswer16 = !isShowAnswer16">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+            <span class="btn-box" @click="openDialog(thinkTwo)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.545" height="18.112" viewBox="0 0 20.545 22.112">
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-          <p class="block">
-            <span
-              class="zt-ls2"><b>鍒嗘瀽</b></span>銆�瑙傚療杩欎釜寮忓瓙鐨勭壒鐐癸紝姣忎竴椤归兘鏄墠闈竴椤圭殑2鍊嶏紙闄ょ1椤瑰锛夛紱杩愮畻鎬濊矾鍙�冭檻灏嗕唬鏁板紡姣忛」涔�2鍚庡啀涓庡師寮忕浉鍑�.鏁板涓婃妸杩欑杩愮畻鏂规硶鍙綔鈥滈敊浣嶇浉鍑忊��.
-          </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span> 浠�
-          </p>
-          <math display="block">
-            <mi>S</mi>
-            <mo>=</mo>
-            <msup>
-              <mn>2</mn>
-              <mrow>
-                <mn>0</mn>
-              </mrow>
-            </msup>
-            <mo>+</mo>
-            <msup>
-              <mn>2</mn>
-              <mrow>
-                <mn>1</mn>
-              </mrow>
-            </msup>
-            <mo>+</mo>
-            <msup>
-              <mn>2</mn>
-              <mrow>
+          <div v-if="isShowAnswer16" >
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span> 浠�
+            </p>
+            <math display="block">
+              <mi>S</mi>
+              <mo>=</mo>
+              <msup>
                 <mn>2</mn>
-              </mrow>
-            </msup>
-            <mo>+</mo>
-            <msup>
-              <mn>2</mn>
-              <mrow>
-                <mn>3</mn>
-              </mrow>
-            </msup>
-            <mo>+</mo>
-            <mo>鈥�</mo>
-            <msup>
-              <mn>2</mn>
-              <mrow>
-                <mi>x</mi>
-                <mo>鈭�</mo>
-                <mn>1</mn>
-              </mrow>
-            </msup>
-            <mo>+</mo>
-            <msup>
-              <mn>2</mn>
-              <mrow>
-                <mi>x</mi>
-              </mrow>
-            </msup>
-            <mo>.</mo>
-          </math>
-          <p class="right">鈶�</p>
-          <p>灏嗏憼寮忎袱杈瑰悓鏃朵箻2锛屽緱</p>
-          <math display="block">
-            <mn>2</mn>
-            <mi>S</mi>
-            <mo>=</mo>
-            <msup>
-              <mn>2</mn>
-              <mrow>
-                <mn>1</mn>
-              </mrow>
-            </msup>
-            <mo>+</mo>
-            <msup>
-              <mn>2</mn>
-              <mrow>
+                <mrow>
+                  <mn>0</mn>
+                </mrow>
+              </msup>
+              <mo>+</mo>
+              <msup>
                 <mn>2</mn>
-              </mrow>
-            </msup>
-            <mo>+</mo>
-            <msup>
+                <mrow>
+                  <mn>1</mn>
+                </mrow>
+              </msup>
+              <mo>+</mo>
+              <msup>
+                <mn>2</mn>
+                <mrow>
+                  <mn>2</mn>
+                </mrow>
+              </msup>
+              <mo>+</mo>
+              <msup>
+                <mn>2</mn>
+                <mrow>
+                  <mn>3</mn>
+                </mrow>
+              </msup>
+              <mo>+</mo>
+              <mo>鈥�</mo>
+              <msup>
+                <mn>2</mn>
+                <mrow>
+                  <mi>x</mi>
+                  <mo>鈭�</mo>
+                  <mn>1</mn>
+                </mrow>
+              </msup>
+              <mo>+</mo>
+              <msup>
+                <mn>2</mn>
+                <mrow>
+                  <mi>x</mi>
+                </mrow>
+              </msup>
+              <mo>.</mo>
+            </math>
+            <p class="right">鈶�</p>
+            <p>灏嗏憼寮忎袱杈瑰悓鏃朵箻2锛屽緱</p>
+            <math display="block">
               <mn>2</mn>
-              <mrow>
-                <mn>3</mn>
-              </mrow>
-            </msup>
-            <mo>+</mo>
-            <mo>鈥�</mo>
-            <mo>+</mo>
-            <msup>
-              <mn>2</mn>
-              <mrow>
-                <mi>x</mi>
-              </mrow>
-            </msup>
-            <mo>+</mo>
-            <msup>
-              <mn>2</mn>
-              <mrow>
-                <mi>x</mi>
-                <mo>+</mo>
-                <mn>1</mn>
-              </mrow>
-            </msup>
-            <mo>.</mo>
-          </math>
-          <p class="right">鈶�</p>
-          <p>鐢ㄢ憽寮忓噺鈶犲紡鍙緱</p>
-          <p>
-            2<i>S</i>-<i>S</i>=锛�2<sup>1</sup>+2<sup>2</sup>+2<sup>3</sup>+鈥�+2<i><sup>x</sup></i>+2<i><sup>x</sup></i><sup>+1</sup>锛�-锛�2<sup>0</sup>+2<sup>1</sup>+2<sup>2</sup>+2<sup>3</sup>+鈥�+2<i><sup>x</sup></i><sup>-1</sup>+2<i><sup>x</sup></i>锛夛紝
-          </p>
-          <p>
-            鍗�<i>S</i>=2<i><sup>x+1</sup></i>-1锛�
-          </p>
-          <p>
-            鎵�浠ワ紝銆�2<sup>0</sup>+2<sup>1</sup>+2<sup>2</sup>+2<sup>3</sup>+鈥�+2<i><sup>x</sup></i>=2<i><sup>x+1</sup></i>-1.
-          </p>
+              <mi>S</mi>
+              <mo>=</mo>
+              <msup>
+                <mn>2</mn>
+                <mrow>
+                  <mn>1</mn>
+                </mrow>
+              </msup>
+              <mo>+</mo>
+              <msup>
+                <mn>2</mn>
+                <mrow>
+                  <mn>2</mn>
+                </mrow>
+              </msup>
+              <mo>+</mo>
+              <msup>
+                <mn>2</mn>
+                <mrow>
+                  <mn>3</mn>
+                </mrow>
+              </msup>
+              <mo>+</mo>
+              <mo>鈥�</mo>
+              <mo>+</mo>
+              <msup>
+                <mn>2</mn>
+                <mrow>
+                  <mi>x</mi>
+                </mrow>
+              </msup>
+              <mo>+</mo>
+              <msup>
+                <mn>2</mn>
+                <mrow>
+                  <mi>x</mi>
+                  <mo>+</mo>
+                  <mn>1</mn>
+                </mrow>
+              </msup>
+              <mo>.</mo>
+            </math>
+            <p class="right">鈶�</p>
+            <p>鐢ㄢ憽寮忓噺鈶犲紡鍙緱</p>
+            <p>
+              2<i>S</i>-<i>S</i>=锛�2<sup>1</sup>+2<sup>2</sup>+2<sup>3</sup>+鈥�+2<i><sup>x</sup></i>+2<i><sup>x</sup></i><sup>+1</sup>锛�-锛�2<sup>0</sup>+2<sup>1</sup>+2<sup>2</sup>+2<sup>3</sup>+鈥�+2<i><sup>x</sup></i><sup>-1</sup>+2<i><sup>x</sup></i>锛夛紝
+            </p>
+            <p>
+              鍗�<i>S</i>=2<i><sup>x+1</sup></i>-1锛�
+            </p>
+            <p>
+              鎵�浠ワ紝銆�2<sup>0</sup>+2<sup>1</sup>+2<sup>2</sup>+2<sup>3</sup>+鈥�+2<i><sup>x</sup></i>=2<i><sup>x+1</sup></i>-1.
+            </p>
+          </div>
           <p class="left">
             <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
           </p>
@@ -2445,6 +2638,9 @@
           </div>
         </div>
       </div>
+    </div>
+    <!-- 120 -->
+    <div class="page-box hidePage" page="127">
     </div>
     <!-- 121 -->
     <div class="page-box" page="128">
@@ -2641,25 +2837,45 @@
           <p>
             <b>渚�</b> 宸茬煡鎸囨暟鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>a<sup>x</sup></i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夛紝涓�<i>f</i>锛�3锛�=125.
           </p>
-          <p>锛�1锛� 姹傚嚱鏁�<i>f</i>锛�<i>x</i>锛夌殑瑙f瀽寮忥紱</p>
-          <p>
-            锛�2锛� 姹�<i>f</i>锛�0锛夛紝<i>f</i>锛�2锛夛紝<i>f</i>锛�-2锛夛紝<math display="0">
-              <mi>f</mi>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
-                <mfrac>
-                  <mn>1</mn>
-                  <mn>2</mn>
-                </mfrac>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-            </math>鐨勫��.
+          <p class="p-btn" >
+            <span>
+              锛�1锛� 姹傚嚱鏁�<i>f</i>锛�<i>x</i>锛夌殑瑙f瀽寮忥紱
+            </span>
+            <span class="btn-box" @click="isShowAnswer17 = !isShowAnswer17">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p>
+          <p class="p-btn" >
+            <span>
+                锛�2锛� 姹�<i>f</i>锛�0锛夛紝<i>f</i>锛�2锛夛紝<i>f</i>锛�-2锛夛紝<math display="0">
+                <mi>f</mi>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mfrac>
+                    <mn>1</mn>
+                    <mn>2</mn>
+                  </mfrac>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+              </math>鐨勫��.
+            </span>
+            <span class="btn-box" @click="isShowAnswer18 = !isShowAnswer18">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <p v-if="isShowAnswer17" >
             <span class="zt-ls"><b>瑙�</b></span>锛�1锛�
             鍥犱负<i>f</i>锛�<i>x</i>锛�=<i>a<sup>x</sup></i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夛紝涓�<i>f</i>锛�3锛�=125锛屾墍浠�<i>a</i><sup>3</sup>=125锛岃В寰�<i>a</i>=5锛屼簬鏄�<i>f</i>锛�<i>x</i>锛�=5<i><sup>x</sup></i>.
           </p>
-          <p>
+          <p v-if="isShowAnswer18">
             锛�2锛�
             <i>f</i>锛�0锛�=5<sup>0</sup>=1锛�<i>f</i>锛�2锛�=5<sup>2</sup>=25锛�<math display="0">
               <mi>f</mi>
@@ -2952,8 +3168,17 @@
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             <img class="img-a" alt="" src="../../assets/images/0136-1.jpg" />
           </p>
-          <p>
-            <span class="zt-ls"><b>渚�1</b></span>銆�鍒ゆ柇涓嬪垪鍑芥暟鍝簺鏄寚鏁板嚱鏁帮紝骞剁敾鍑哄嚱鏁板浘鍍忛獙璇�.
+          <p class="p-btn" >
+            <span>
+              <span class="zt-ls"><b>渚�1</b></span>銆�鍒ゆ柇涓嬪垪鍑芥暟鍝簺鏄寚鏁板嚱鏁帮紝骞剁敾鍑哄嚱鏁板浘鍍忛獙璇�.
+            </span>
+            <span class="btn-box" @click="isShowAnswer19 = !isShowAnswer19">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
           <p>
             锛�1锛� <i>y</i>=0.5<i><sup>x</sup></i>锛涳紙2锛� <i>y</i>=2脳3<i><sup>x</sup></i>锛涳紙3锛� <i>y</i>=<i>x</i><sup>2</sup>.
@@ -2971,14 +3196,17 @@
               鍦ㄥ舰寮忎笂涓庢寚鏁板嚱鏁扮浉浼硷紝浣嗕笉绗﹀悎鎸囨暟鍑芥暟鐨勫畾涔夛紝鎴戜滑浠庡叾鍑芥暟鍥惧儚鍙互鐪嬪埌娌℃湁杩囧畾鐐癸紙0锛�1锛�.
             </p>
           </div>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>
-            渚濇嵁鎸囨暟鍑芥暟<i>y</i>=<i>a<sup>x</sup></i>鐨勫畾涔夛紝<i>y</i>=0.5<i><sup>x</sup></i>鏄寚鏁板嚱鏁帮紝<i>y</i>=2脳3<i><sup>x</sup></i>鍜�<i>y</i>=<i>x</i><sup>2</sup>涓嶆槸鎸囨暟鍑芥暟.鐢诲嚭鍑芥暟鍥惧儚锛堝鍥�4-4鎵�绀猴級锛屽嚱鏁�<i>y</i>=0.5<i><sup>x</sup></i>鐨勫浘鍍忕鍚堟寚鏁板嚱鏁板浘鍍忕殑鐗瑰緛锛涘嚱鏁�<i>y</i>=2脳3<i><sup>x</sup></i>鐨勫浘鍍忚櫧涓庢寚鏁板嚱鏁板浘鍍忓緢鐩镐技锛屼絾骞舵病鏈夎繃瀹氱偣锛�0锛�1锛夛紱鍑芥暟<i>y</i>=<i>x</i><sup>2</sup>鐨勫浘鍍忔槸浜屾鍑芥暟鐨勫浘鍍�.
-          </p>
-          <p class="center">
-            <img class="img-b" alt="" src="../../assets/images/0136-2.jpg" />
-          </p>
-          <p class="img">鍥�4-4</p>
+          <div v-if="isShowAnswer19" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>
+              渚濇嵁鎸囨暟鍑芥暟<i>y</i>=<i>a<sup>x</sup></i>鐨勫畾涔夛紝<i>y</i>=0.5<i><sup>x</sup></i>鏄寚鏁板嚱鏁帮紝<i>y</i>=2脳3<i><sup>x</sup></i>鍜�<i>y</i>=<i>x</i><sup>2</sup>涓嶆槸鎸囨暟鍑芥暟.鐢诲嚭鍑芥暟鍥惧儚锛堝鍥�4-4鎵�绀猴級锛屽嚱鏁�<i>y</i>=0.5<i><sup>x</sup></i>鐨勫浘鍍忕鍚堟寚鏁板嚱鏁板浘鍍忕殑鐗瑰緛锛涘嚱鏁�<i>y</i>=2脳3<i><sup>x</sup></i>鐨勫浘鍍忚櫧涓庢寚鏁板嚱鏁板浘鍍忓緢鐩镐技锛屼絾骞舵病鏈夎繃瀹氱偣锛�0锛�1锛夛紱鍑芥暟<i>y</i>=<i>x</i><sup>2</sup>鐨勫浘鍍忔槸浜屾鍑芥暟鐨勫浘鍍�.
+            </p>
+            <p class="center">
+              <img class="img-b" alt="" src="../../assets/images/0136-2.jpg" />
+            </p>
+            <p class="img">鍥�4-4</p>
+          </div>
+          <iframe src="https://www.geogebra.org/calculator" frameborder="0" class="iframe-box"></iframe>
           <div class="bk-hzjl">
             <div class="bj1-hzjl">
               <p class="left">
@@ -2995,7 +3223,7 @@
     <div class="page-box" page="133">
       <div v-if="showPageList.indexOf(133) > -1">
         <ul class="page-header-odd fl al-end">
-          <li>126</li>
+          <li>126-127</li>
           <li>鏁板.鍩虹妯″潡</li>
           <li>涓婂唽</li>
         </ul>
@@ -3003,266 +3231,343 @@
           <p>
             <span class="zt-ls"><b>渚�2</b></span>銆�鍒ゆ柇涓嬪垪鍑芥暟鍦紙-鈭烇紝+鈭烇級鍐呯殑鍗曡皟鎬�.
           </p>
-          <p>
-            锛�1锛� <i>y</i>=4<i><sup>x</sup></i>锛涳紙2锛� <i>y</i>=3<i><sup>-x</sup></i>锛涳紙3锛�
-            <math display="0">
-              <mi>y</mi>
-              <mo>=</mo>
-              <msup>
-                <mn>2</mn>
-                <mrow>
-                  <mfrac>
-                    <mi>x</mi>
-                    <mn>3</mn>
-                  </mfrac>
-                </mrow>
-              </msup>
-            </math>.
+          <p class="p-btn" >
+            <span>锛�1锛� <i>y</i>=4<i><sup>x</sup></i>锛�</span>
+            <span class="btn-box" @click="isShowAnswer20 = !isShowAnswer20">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍥犱负4锛�1 锛� 鎵�浠�<i>y</i>=4<i><sup>x</sup></i>鍦紙-鈭烇紝+鈭烇級鍐呮槸澧炲嚱鏁帮紙濡傚浘4-5鎵�绀猴級.
+          <p class="p-btn" >
+            <span>锛�2锛� <i>y</i>=3<i><sup>-x</sup></i>锛�</span>
+            <span class="btn-box" @click="isShowAnswer21 = !isShowAnswer21">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p>
-            锛�2锛�
-            <math display="0">
-              <mi>y</mi>
-              <mo>=</mo>
-              <msup>
-                <mn>3</mn>
-                <mrow>
-                  <mo>鈭�</mo>
-                  <mi>x</mi>
-                </mrow>
-              </msup>
-              <mo>=</mo>
-              <msup>
-                <mrow data-mjx-texclass="INNER">
-                  <mo data-mjx-texclass="OPEN">(</mo>
-                  <msup>
-                    <mn>3</mn>
-                    <mrow>
-                      <mo>鈭�</mo>
-                      <mn>1</mn>
-                    </mrow>
-                  </msup>
-                  <mo data-mjx-texclass="CLOSE">)</mo>
-                </mrow>
-                <mrow>
-                  <mi>x</mi>
-                </mrow>
-              </msup>
-              <mo>=</mo>
-              <msup>
-                <mrow data-mjx-texclass="INNER">
-                  <mo data-mjx-texclass="OPEN">(</mo>
-                  <mfrac>
-                    <mn>1</mn>
-                    <mn>3</mn>
-                  </mfrac>
-                  <mo data-mjx-texclass="CLOSE">)</mo>
-                </mrow>
-                <mrow>
-                  <mi>x</mi>
-                </mrow>
-              </msup>
-            </math>锛屽洜涓�<math display="0">
-              <mn>0</mn>
-              <mo>锛�</mo>
-              <mfrac>
-                <mn>1</mn>
-                <mn>3</mn>
-              </mfrac>
-              <mo>锛�</mo>
-              <mn>1</mn>
-            </math>锛屾墍浠�<i>y</i>=3<i><sup>-x</sup></i>鍦紙-鈭烇紝+鈭烇級鍐呮槸鍑忓嚱鏁帮紙濡傚浘4-6鎵�绀猴級.
-          </p>
-          <p>
-            锛�3锛�<math display="0">
-              <mi>y</mi>
-              <mo>=</mo>
-              <msup>
-                <mn>2</mn>
-                <mrow>
-                  <mfrac>
-                    <mi>x</mi>
-                    <mn>3</mn>
-                  </mfrac>
-                </mrow>
-              </msup>
-              <mo>=</mo>
-              <msup>
-                <mrow data-mjx-texclass="INNER">
-                  <mo data-mjx-texclass="OPEN">(</mo>
-                  <msup>
-                    <mn>2</mn>
-                    <mrow>
-                      <mfrac>
-                        <mn>1</mn>
-                        <mn>3</mn>
-                      </mfrac>
-                    </mrow>
-                  </msup>
-                  <mo data-mjx-texclass="CLOSE">)</mo>
-                </mrow>
-                <mrow>
-                  <mi>x</mi>
-                </mrow>
-              </msup>
-              <mo>=</mo>
-              <mo stretchy="false">(</mo>
-              <mroot>
-                <mn>2</mn>
-                <mn>3</mn>
-              </mroot>
-              <msup>
-                <mo stretchy="false">)</mo>
-                <mrow>
-                  <mi>x</mi>
-                </mrow>
-              </msup>
-            </math>锛屽洜涓�<math display="0">
-              <mroot>
-                <mn>2</mn>
-                <mn>3</mn>
-              </mroot>
-              <mo>锛�</mo>
-              <mn>1</mn>
-            </math>锛屾墍浠�<math display="0">
-              <mi>y</mi>
-              <mo>=</mo>
-              <msup>
-                <mn>2</mn>
-                <mrow>
-                  <mfrac>
-                    <mi>x</mi>
-                    <mn>3</mn>
-                  </mfrac>
-                </mrow>
-              </msup>
-            </math>鍦紙-鈭烇紝+鈭烇級鍐呮槸澧炲嚱鏁帮紙濡傚浘4-7鎵�绀猴級.
-          </p>
-          <ul class="fl">
-            <li>
-              <p class="center">
-                <img class="img-a" alt="" src="../../assets/images/0137-7.jpg" />
-              </p>
-              <p class="img">鍥�4-5</p>
-            </li>
-            <li>
-              <p class="center">
-                <img class="img-a" alt="" src="../../assets/images/0137-8.jpg" />
-              </p>
-              <p class="img">鍥�4-6</p>
-            </li>
-            <li>
-              <p class="center">
-                <img class="img-a" alt="" src="../../assets/images/0137-9.jpg" />
-              </p>
-              <p class="img">鍥�4-7</p>
-            </li>
-          </ul>
-          <p>
-            <span class="zt-ls"><b>渚�3</b></span>銆�姣旇緝涓嬪垪鍚勯涓袱涓�肩殑澶у皬.
-          </p>
-          <p>
-            锛�1锛� 1.8<sup>2.5</sup>涓�1.8<sup>3</sup>锛涳紙2锛�
-            0.9<sup>-0.2</sup>涓�0.9<sup>-0.3</sup>.
-          </p>
-          <p class="block">
-            <span
-              class="zt-ls2"><b>鍒嗘瀽</b></span>銆�1.8<sup>2.5</sup>鍜�1.8<sup>3</sup>鍒嗗埆鍙互鐪嬩綔<i>y</i>=1.8<i><sup>x</sup></i>鍦�<i>x</i>=2.5鍜�<i>x</i>=3澶勭殑鍑芥暟鍊硷紝杩欐牱灏卞彲浠ュ埄鐢ㄥ嚱鏁扮殑鍗曡皟鎬ф潵姣旇緝鍑芥暟鍊肩殑澶у皬.0.9<sup>-0.2</sup>鍜�0.9<sup>-0.3</sup>鍒嗗埆鍙互鐪嬩綔<i>y</i>=0.9<i><sup>x</sup></i>鍦�<i>x</i>=-0.2鍜�<i>x</i>=-0.3澶勭殑鍑芥暟鍊硷紝鍚屾牱鍙互鍒╃敤鍑芥暟鐨勫崟璋冩�ф潵姣旇緝鍑芥暟鍊肩殑澶у皬.
-          </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍥犱负<i>y</i>=1.8<i><sup>x</sup></i>鏄�<b>R</b>涓婄殑澧炲嚱鏁帮紝涓�2.5锛�3锛屾墍浠�
-          </p>
-          <p class="center">1.8<sup>2.5</sup>锛�1.8<sup>3</sup>.</p>
-          <p>
-            锛�2锛� 鍥犱负<i>y</i>=0.9<i><sup>x</sup></i>鏄�<b>R</b>涓婄殑鍑忓嚱鏁帮紝涓�-0.2锛�-0.3锛屾墍浠�
-          </p>
-          <p class="center">0.9<sup>-0.2</sup>锛�0.9<sup>-0.3</sup>.</p>
-          <p>
-            <span class="zt-ls"><b>渚�4</b></span>銆�姹傚嚱鏁�<math display="0">
-              <mi>y</mi>
-              <mo>=</mo>
-              <msqrt>
+          <p class="p-btn" >
+            <span>
+              锛�3锛�
+              <math display="0">
+                <mi>y</mi>
+                <mo>=</mo>
                 <msup>
                   <mn>2</mn>
+                  <mrow>
+                    <mfrac>
+                      <mi>x</mi>
+                      <mn>3</mn>
+                    </mfrac>
+                  </mrow>
+                </msup>
+              </math>.
+            </span>
+            <span class="btn-box" @click="isShowAnswer22 = !isShowAnswer22">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <div v-if="isShowAnswer20" >
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍥犱负4锛�1 锛� 鎵�浠�<i>y</i>=4<i><sup>x</sup></i>鍦紙-鈭烇紝+鈭烇級鍐呮槸澧炲嚱鏁帮紙濡傚浘4-5鎵�绀猴級.
+            </p>
+            <p class="center">
+                <img class="img-f" alt="" src="../../assets/images/0137-7.jpg" />
+              </p>
+              <p class="img">鍥�4-5</p>
+          </div>
+          <div v-if="isShowAnswer21" > 
+            <p>
+              锛�2锛�
+              <math display="0">
+                <mi>y</mi>
+                <mo>=</mo>
+                <msup>
+                  <mn>3</mn>
+                  <mrow>
+                    <mo>鈭�</mo>
+                    <mi>x</mi>
+                  </mrow>
+                </msup>
+                <mo>=</mo>
+                <msup>
+                  <mrow data-mjx-texclass="INNER">
+                    <mo data-mjx-texclass="OPEN">(</mo>
+                    <msup>
+                      <mn>3</mn>
+                      <mrow>
+                        <mo>鈭�</mo>
+                        <mn>1</mn>
+                      </mrow>
+                    </msup>
+                    <mo data-mjx-texclass="CLOSE">)</mo>
+                  </mrow>
                   <mrow>
                     <mi>x</mi>
                   </mrow>
                 </msup>
-                <mo>鈭�</mo>
-                <mn>4</mn>
-              </msqrt>
-            </math>鐨勫畾涔夊煙.
+                <mo>=</mo>
+                <msup>
+                  <mrow data-mjx-texclass="INNER">
+                    <mo data-mjx-texclass="OPEN">(</mo>
+                    <mfrac>
+                      <mn>1</mn>
+                      <mn>3</mn>
+                    </mfrac>
+                    <mo data-mjx-texclass="CLOSE">)</mo>
+                  </mrow>
+                  <mrow>
+                    <mi>x</mi>
+                  </mrow>
+                </msup>
+              </math>锛屽洜涓�<math display="0">
+                <mn>0</mn>
+                <mo>锛�</mo>
+                <mfrac>
+                  <mn>1</mn>
+                  <mn>3</mn>
+                </mfrac>
+                <mo>锛�</mo>
+                <mn>1</mn>
+              </math>锛屾墍浠�<i>y</i>=3<i><sup>-x</sup></i>鍦紙-鈭烇紝+鈭烇級鍐呮槸鍑忓嚱鏁帮紙濡傚浘4-6鎵�绀猴級.
+            </p>
+            <p class="center">
+                <img class="img-f" alt="" src="../../assets/images/0137-8.jpg" />
+              </p>
+              <p class="img">鍥�4-6</p>
+          </div>
+          <div v-if="isShowAnswer22" > 
+            <p>
+              锛�3锛�<math display="0">
+                <mi>y</mi>
+                <mo>=</mo>
+                <msup>
+                  <mn>2</mn>
+                  <mrow>
+                    <mfrac>
+                      <mi>x</mi>
+                      <mn>3</mn>
+                    </mfrac>
+                  </mrow>
+                </msup>
+                <mo>=</mo>
+                <msup>
+                  <mrow data-mjx-texclass="INNER">
+                    <mo data-mjx-texclass="OPEN">(</mo>
+                    <msup>
+                      <mn>2</mn>
+                      <mrow>
+                        <mfrac>
+                          <mn>1</mn>
+                          <mn>3</mn>
+                        </mfrac>
+                      </mrow>
+                    </msup>
+                    <mo data-mjx-texclass="CLOSE">)</mo>
+                  </mrow>
+                  <mrow>
+                    <mi>x</mi>
+                  </mrow>
+                </msup>
+                <mo>=</mo>
+                <mo stretchy="false">(</mo>
+                <mroot>
+                  <mn>2</mn>
+                  <mn>3</mn>
+                </mroot>
+                <msup>
+                  <mo stretchy="false">)</mo>
+                  <mrow>
+                    <mi>x</mi>
+                  </mrow>
+                </msup>
+              </math>锛屽洜涓�<math display="0">
+                <mroot>
+                  <mn>2</mn>
+                  <mn>3</mn>
+                </mroot>
+                <mo>锛�</mo>
+                <mn>1</mn>
+              </math>锛屾墍浠�<math display="0">
+                <mi>y</mi>
+                <mo>=</mo>
+                <msup>
+                  <mn>2</mn>
+                  <mrow>
+                    <mfrac>
+                      <mi>x</mi>
+                      <mn>3</mn>
+                    </mfrac>
+                  </mrow>
+                </msup>
+              </math>鍦紙-鈭烇紝+鈭烇級鍐呮槸澧炲嚱鏁帮紙濡傚浘4-7鎵�绀猴級.
+            </p>
+            <p class="center">
+                <img class="img-f" alt="" src="../../assets/images/0137-9.jpg" />
+              </p>
+              <p class="img">鍥�4-7</p>
+          </div>
+          <p class="p-btn" >
+            <span>
+              <span class="zt-ls"><b>渚�3</b></span>銆�姣旇緝涓嬪垪鍚勯涓袱涓�肩殑澶у皬.
+            </span>
+            <span class="btn-box" @click="openDialog(thinkThree)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.545" height="18.112" viewBox="0 0 20.545 22.112">
+                <path class="a"
+                  d="M3771.2-14311.889a2.356,2.356,0,0,1-1.727-.626c-.027-.054-.053-.1-.079-.148l0-.007c-.123-.224-.2-.371-.076-.629a.869.869,0,0,1,.784-.471.205.205,0,0,1,.158.079.205.205,0,0,0,.158.079.187.187,0,0,0,.038.1.143.143,0,0,0,.117.05h.158a.573.573,0,0,0,.471.158,2.2,2.2,0,0,0,.916-.3l.023-.011a.572.572,0,0,1,.471-.158.575.575,0,0,1,.626.626.526.526,0,0,1,.036.409.664.664,0,0,1-.349.375A3.582,3.582,0,0,1,3771.2-14311.889Zm-1.885-1.723h-.155a.718.718,0,0,1-.784-.63.38.38,0,0,1-.021-.3.976.976,0,0,1,.492-.485l4.86-1.252a1.047,1.047,0,0,1,.784.626c.151.3-.128.61-.471.784l-4.705,1.256Zm-.155-1.885H3769a.716.716,0,0,1-.784-.626c-.149-.3.129-.611.471-.784l4.234-1.1v-.158l-.021.007a7.808,7.808,0,0,1-1.861.31,5.3,5.3,0,0,1-3.137-.942,5.789,5.789,0,0,1-2.666-4.076,6.421,6.421,0,0,1,1.256-5.018,7.038,7.038,0,0,1,2.194-1.568,7.848,7.848,0,0,1,2.666-.472,6.43,6.43,0,0,1,2.979.784,4.958,4.958,0,0,1,2.2,2.194,5.522,5.522,0,0,1,.313,5.177,13.113,13.113,0,0,1-1.256,1.882l-.313.313a2.156,2.156,0,0,0-.78,1.244l0,.012a1.731,1.731,0,0,1-1.727,1.723l-.313.158-3.292.939Zm1.256-6.271v1.256h1.41v-1.256Zm.784-4.234c.718,0,1.1.271,1.1.784a.925.925,0,0,1-.316.783l-.468.156a2.235,2.235,0,0,0-.63.471l-.012.024a2.2,2.2,0,0,0-.3.918v.155h1.1v-.155a1.2,1.2,0,0,1,.313-.629.543.543,0,0,0,.315-.153c.007,0,.315,0,.315-.16a1.226,1.226,0,0,0,.626-.626,2.277,2.277,0,0,0,.313-1.1,1.409,1.409,0,0,0-.626-1.252,2.337,2.337,0,0,0-1.569-.471,2.258,2.258,0,0,0-2.507,2.353l1.252.154A1.121,1.121,0,0,1,3771.2-14326Zm-6.51,9.645a.769.769,0,0,1-.549-.237.772.772,0,0,1-.235-.549.772.772,0,0,1,.235-.548l.939-.939a.781.781,0,0,1,.55-.234.772.772,0,0,1,.547.234.772.772,0,0,1,.238.549.772.772,0,0,1-.238.549l-.939.938A.769.769,0,0,1,3764.686-14316.356Zm13.174-.157a.774.774,0,0,1-.549-.234l-.943-.942a.678.678,0,0,1-.233-.47.678.678,0,0,1,.233-.47.774.774,0,0,1,.549-.234.774.774,0,0,1,.549.234l.942.939a.427.427,0,0,1,.228.324.74.74,0,0,1-.228.618A.774.774,0,0,1,3777.859-14316.514Zm2.9-6.351h-1.414c-.469-.158-.784-.474-.784-.784a.743.743,0,0,1,.784-.784h1.414a.743.743,0,0,1,.784.784A.743.743,0,0,1,3780.761-14322.864Zm-17.566-.158h-1.41c-.469-.157-.784-.473-.784-.784a.743.743,0,0,1,.784-.784h1.41a.743.743,0,0,1,.784.784A.743.743,0,0,1,3763.195-14323.022Zm13.861-5.723a.759.759,0,0,1-.529-.237.776.776,0,0,1-.235-.549.772.772,0,0,1,.235-.549l.939-.938a.44.44,0,0,1,.413-.238.759.759,0,0,1,.529.238.772.772,0,0,1,.235.549.772.772,0,0,1-.235.548l-.942.939A.435.435,0,0,1,3777.055-14328.745Zm-11.429,0a.776.776,0,0,1-.55-.237l-.939-1.1a.678.678,0,0,1-.235-.469.678.678,0,0,1,.235-.47.772.772,0,0,1,.549-.238.772.772,0,0,1,.549.238l.939,1.1a.675.675,0,0,1,.238.47.675.675,0,0,1-.238.47A.767.767,0,0,1,3765.626-14328.745Zm5.724-2.273a.743.743,0,0,1-.784-.785v-1.413c.157-.469.473-.784.784-.784a.743.743,0,0,1,.784.784v1.413A.743.743,0,0,1,3771.35-14331.019Z"
+                  transform="translate(-3761 14334.001)" />
+              </svg>
+            </span>
           </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>
-            瑕佷娇鍑芥暟鏈夋剰涔夛紝蹇呴』婊¤冻2<i><sup>x</sup></i>-4鈮�0锛屽嵆2<i><sup>x</sup></i>鈮�4锛屽張鍥犱负<i>y</i>=2<i><sup>x</sup></i>鏄鍑芥暟锛屾墍浠�<i>x</i>鈮�2.
+          <p class="p-btn" >
+            <span>
+              锛�1锛� 1.8<sup>2.5</sup>涓�1.8<sup>3</sup>锛�
+            </span>
+            <span class="btn-box" @click="isShowAnswer23 = !isShowAnswer23">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p>鏁呭嚱鏁扮殑瀹氫箟鍩熶负2锛�+鈭烇級.</p>
-        </div>
-      </div>
-    </div>
-    <!-- 127 -->
-    <div class="page-box" page="134">
-      <div v-if="showPageList.indexOf(134) > -1">
-        <ul class="page-header-box">
-          <li>
-            <p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p>
-          </li>
-          <li>
-            <p><span>127</span></p>
-          </li>
-        </ul>
-
-        <div class="padding-116">
+          <p class="p-btn" >
+            <span>
+              锛�2锛�
+                0.9<sup>-0.2</sup>涓�0.9<sup>-0.3</sup>.
+            </span>
+            <span class="btn-box" @click="isShowAnswer24 = !isShowAnswer24">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <div v-if="isShowAnswer23" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍥犱负<i>y</i>=1.8<i><sup>x</sup></i>鏄�<b>R</b>涓婄殑澧炲嚱鏁帮紝涓�2.5锛�3锛屾墍浠�
+            </p>
+            <p class="center">1.8<sup>2.5</sup>锛�1.8<sup>3</sup>.</p>
+          </div>
+          <div v-if="isShowAnswer24" > 
+            <p>
+              锛�2锛� 鍥犱负<i>y</i>=0.9<i><sup>x</sup></i>鏄�<b>R</b>涓婄殑鍑忓嚱鏁帮紝涓�-0.2锛�-0.3锛屾墍浠�
+            </p>
+            <p class="center">0.9<sup>-0.2</sup>锛�0.9<sup>-0.3</sup>.</p>
+          </div>
+          <p class="p-btn" >
+            <span>
+                <span class="zt-ls"><b>渚�4</b></span>銆�姹傚嚱鏁�<math display="0">
+                <mi>y</mi>
+                <mo>=</mo>
+                <msqrt>
+                  <msup>
+                    <mn>2</mn>
+                    <mrow>
+                      <mi>x</mi>
+                    </mrow>
+                  </msup>
+                  <mo>鈭�</mo>
+                  <mn>4</mn>
+                </msqrt>
+              </math>鐨勫畾涔夊煙.
+            </span>
+            <span class="btn-box" @click="isShowAnswer25 = !isShowAnswer25">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <div v-if="isShowAnswer25" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>
+              瑕佷娇鍑芥暟鏈夋剰涔夛紝蹇呴』婊¤冻2<i><sup>x</sup></i>-4鈮�0锛屽嵆2<i><sup>x</sup></i>鈮�4锛屽張鍥犱负<i>y</i>=2<i><sup>x</sup></i>鏄鍑芥暟锛屾墍浠�<i>x</i>鈮�2.
+            </p>
+            <p>鏁呭嚱鏁扮殑瀹氫箟鍩熶负2锛�+鈭烇級.</p>
+          </div>
           <p>
             <span
               class="zt-ls"><b>渚�5</b></span>銆�宸茬煡鎸囨暟鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>a<sup>x</sup></i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夌殑鍥惧儚杩囩偣锛�3锛�27锛�.
           </p>
-          <p>
-            锛�1锛� 姹�<i>f</i>锛�-1锛� 鐨勫�硷紱锛�2锛�
-            鑻�<i>f</i>锛坢锛夆墺9锛屾眰<i>m</i>鐨勫彇鍊艰寖鍥�.
+          <p class="p-btn" >
+            <span>
+              锛�1锛� 姹�<i>f</i>锛�-1锛� 鐨勫�硷紱
+            </span>
+            <span class="btn-box" @click="isShowAnswer26 = !isShowAnswer26">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍥惧儚杩囩偣锛�3锛�27锛夛紝鍗�<i>x</i>=3鏃讹紝<i>f</i>锛�3锛�=27.
+          <p class="p-btn" >
+            <span>
+              锛�2锛�
+              鑻�<i>f</i>锛坢锛夆墺9锛屾眰<i>m</i>鐨勫彇鍊艰寖鍥�.
+            </span>
+            <span class="btn-box" @click="isShowAnswer27 = !isShowAnswer27">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p>
-            鐢�27=<i>a</i><sup>3</sup>锛屽緱<i>a</i>=3锛� 鍗�<i>f</i>锛�<i>x</i>锛�=3<i><sup>x</sup></i>.
-          </p>
-          <p>
-            鎵�浠�<math display="0">
-              <mi>f</mi>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
-                <mo>鈭�</mo>
-                <mn>1</mn>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-              <mo>=</mo>
-              <msup>
-                <mn>3</mn>
-                <mrow>
+          <div v-if="isShowAnswer26" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍥惧儚杩囩偣锛�3锛�27锛夛紝鍗�<i>x</i>=3鏃讹紝<i>f</i>锛�3锛�=27.
+            </p>
+            <p>
+              鐢�27=<i>a</i><sup>3</sup>锛屽緱<i>a</i>=3锛� 鍗�<i>f</i>锛�<i>x</i>锛�=3<i><sup>x</sup></i>.
+            </p>
+            <p>
+              鎵�浠�<math display="0">
+                <mi>f</mi>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
                   <mo>鈭�</mo>
                   <mn>1</mn>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
                 </mrow>
-              </msup>
-              <mo>=</mo>
-              <mfrac>
-                <mn>1</mn>
-                <mn>3</mn>
-              </mfrac>
-            </math>.
-          </p>
-          <p>
-            锛�2锛�
-            鍥犱负<i>f</i>锛�<i>m</i>锛�=3<i><sup>m</sup></i>锛屾墍浠ュ緱鍒�3<i><sup>m</sup></i>鈮�9锛屽嵆3<i><sup>m</sup></i>鈮�3<sup>2</sup>.
-          </p>
-          <p>
-            鍑芥暟<i>y</i>=3<i><sup>x</sup></i>鍦ㄥ畾涔夊煙鍐呮槸澧炲嚱鏁�.
-          </p>
-          <p>鍥犳锛�<i>m</i>鈮�2锛屽嵆<i>m</i>鐨勫彇鍊艰寖鍥翠负[2锛�+鈭烇級.</p>
+                <mo>=</mo>
+                <msup>
+                  <mn>3</mn>
+                  <mrow>
+                    <mo>鈭�</mo>
+                    <mn>1</mn>
+                  </mrow>
+                </msup>
+                <mo>=</mo>
+                <mfrac>
+                  <mn>1</mn>
+                  <mn>3</mn>
+                </mfrac>
+              </math>.
+            </p>
+          </div>
+          <div v-if="isShowAnswer27" > 
+            <p>
+              锛�2锛�
+              鍥犱负<i>f</i>锛�<i>m</i>锛�=3<i><sup>m</sup></i>锛屾墍浠ュ緱鍒�3<i><sup>m</sup></i>鈮�9锛屽嵆3<i><sup>m</sup></i>鈮�3<sup>2</sup>.
+            </p>
+            <p>
+              鍑芥暟<i>y</i>=3<i><sup>x</sup></i>鍦ㄥ畾涔夊煙鍐呮槸澧炲嚱鏁�.
+            </p>
+            <p>鍥犳锛�<i>m</i>鈮�2锛屽嵆<i>m</i>鐨勫彇鍊艰寖鍥翠负[2锛�+鈭烇級.</p>
+          </div>
           <p class="left">
             <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
           </p>
@@ -3272,6 +3577,9 @@
           </div>
         </div>
       </div>
+    </div>
+    <!-- 127 -->
+    <div class="page-box hidePage" page="134">
     </div>
     <!-- 128 -->
     <div class="page-box" page="135">
@@ -3386,8 +3694,17 @@
             <examinations :cardList="questionData[137]" :hideCollect="true" sourceType="json" v-if="questionData">
             </examinations>
           </div>
-          <p>
-            <span class="zt-ls"><b>渚�1</b></span>銆�鎶婁笅鍒楁寚鏁板紡鍐欐垚瀵规暟寮�.
+          <p class="p-btn" >
+            <span>
+              <span class="zt-ls"><b>渚�1</b></span>銆�鎶婁笅鍒楁寚鏁板紡鍐欐垚瀵规暟寮�.
+            </span> 
+            <span class="btn-box" @click="isShowAnswer28 = !isShowAnswer28">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
           <p>
             锛�1锛� 5<sup>4</sup>=625锛涳紙2锛�
@@ -3405,7 +3722,7 @@
               <mn>16</mn>
             </math>锛涳紙3锛� 10<sup>-2</sup>=0.01.
           </p>
-          <p>
+          <p v-if="isShowAnswer28" >
             <span class="zt-ls"><b>瑙�</b></span>锛�1锛� log<sub>5</sub>625=4锛涳紙2锛�
             <math display="0">
               <msub>
@@ -3422,8 +3739,17 @@
               </mfrac>
             </math>锛涳紙3锛� lg0.01=-2.
           </p>
-          <p>
-            <span class="zt-ls"><b>渚�2</b></span>銆�鎶婁笅鍒楀鏁板紡鍐欐垚鎸囨暟寮�.
+          <p class="p-btn" >
+            <span>
+              <span class="zt-ls"><b>渚�2</b></span>銆�鎶婁笅鍒楀鏁板紡鍐欐垚鎸囨暟寮�.
+            </span>
+            <span class="btn-box" @click="isShowAnswer29 = !isShowAnswer29">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
           <p>
             锛�1锛� log<sub>3</sub>243=5锛涳紙2锛�
@@ -3445,7 +3771,7 @@
               <mn>3</mn>
             </math>锛涳紙3锛� <i>ln</i>1=0.
           </p>
-          <p>
+          <p v-if="isShowAnswer29" >
             <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 3<sup>5</sup>=243锛涳紙2锛�
             <math display="0">
               <msup>
@@ -3468,8 +3794,17 @@
               </mfrac>
             </math>锛涳紙3锛� <i>e</i><sup>0</sup>=1.
           </p>
-          <p>
-            <span class="zt-ls"><b>渚�3</b></span>銆�姹備笅鍒楀悇寮忎腑<i>N</i>鐨勫��.
+          <p class="p-btn" >
+            <span>
+              <span class="zt-ls"><b>渚�3</b></span>銆�姹備笅鍒楀悇寮忎腑<i>N</i>鐨勫��.
+            </span>
+            <span class="btn-box" @click="isShowAnswer30 = !isShowAnswer30">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
           <p>
             锛�1锛� lg<i>N</i>=-3锛涳紙2锛�
@@ -3488,89 +3823,121 @@
               </mfrac>
             </math>.
           </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鐢眑g<i>N</i>=-3锛屽緱<i>N</i>=10<sup>-3</sup>=0.001锛�
-          </p>
-          <p>
-            锛�2锛� 鐢�<math display="0">
-              <msub>
-                <mi>log</mi>
-                <mrow>
-                  <mn>8</mn>
-                </mrow>
-              </msub>
-              <mi mathvariant="bold">N</mi>
-              <mo>=</mo>
-              <mfrac>
-                <mn>2</mn>
-                <mn>3</mn>
-              </mfrac>
-            </math>锛屽緱<math display="0">
-              <mi mathvariant="bold">N</mi>
-              <mo>=</mo>
-              <msup>
-                <mn>8</mn>
-                <mrow>
-                  <mfrac>
-                    <mn>2</mn>
-                    <mn>3</mn>
-                  </mfrac>
-                </mrow>
-              </msup>
-              <mo>=</mo>
-              <msup>
-                <mrow data-mjx-texclass="INNER">
-                  <mo data-mjx-texclass="OPEN">(</mo>
-                  <msup>
-                    <mn>2</mn>
-                    <mrow>
-                      <mn>3</mn>
-                    </mrow>
-                  </msup>
-                  <mo data-mjx-texclass="CLOSE">)</mo>
-                </mrow>
-                <mrow>
-                  <mfrac>
-                    <mn>2</mn>
-                    <mn>3</mn>
-                  </mfrac>
-                </mrow>
-              </msup>
-              <mo>=</mo>
-              <msup>
-                <mn>2</mn>
-                <mrow>
+          <div v-if="isShowAnswer30" >
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鐢眑g<i>N</i>=-3锛屽緱<i>N</i>=10<sup>-3</sup>=0.001锛�
+            </p>
+            <p>
+              锛�2锛� 鐢�<math display="0">
+                <msub>
+                  <mi>log</mi>
+                  <mrow>
+                    <mn>8</mn>
+                  </mrow>
+                </msub>
+                <mi mathvariant="bold">N</mi>
+                <mo>=</mo>
+                <mfrac>
                   <mn>2</mn>
-                </mrow>
-              </msup>
-              <mo>=</mo>
-              <mn>4</mn>
-            </math>.
-          </p>
-          <p>
-            <span class="zt-ls"><b>渚�4</b></span>銆�姹備笅鍒楀悇寮忎腑<i>x</i>鐨勫��.
+                  <mn>3</mn>
+                </mfrac>
+              </math>锛屽緱<math display="0">
+                <mi mathvariant="bold">N</mi>
+                <mo>=</mo>
+                <msup>
+                  <mn>8</mn>
+                  <mrow>
+                    <mfrac>
+                      <mn>2</mn>
+                      <mn>3</mn>
+                    </mfrac>
+                  </mrow>
+                </msup>
+                <mo>=</mo>
+                <msup>
+                  <mrow data-mjx-texclass="INNER">
+                    <mo data-mjx-texclass="OPEN">(</mo>
+                    <msup>
+                      <mn>2</mn>
+                      <mrow>
+                        <mn>3</mn>
+                      </mrow>
+                    </msup>
+                    <mo data-mjx-texclass="CLOSE">)</mo>
+                  </mrow>
+                  <mrow>
+                    <mfrac>
+                      <mn>2</mn>
+                      <mn>3</mn>
+                    </mfrac>
+                  </mrow>
+                </msup>
+                <mo>=</mo>
+                <msup>
+                  <mn>2</mn>
+                  <mrow>
+                    <mn>2</mn>
+                  </mrow>
+                </msup>
+                <mo>=</mo>
+                <mn>4</mn>
+              </math>.
+            </p>
+          </div>
+          <p class="p-btn" >
+            <span>
+              <span class="zt-ls"><b>渚�4</b></span>銆�姹備笅鍒楀悇寮忎腑<i>x</i>鐨勫��.
+            </span>
+            <span class="btn-box" @click="isShowAnswer31 = !isShowAnswer31">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
           <p>
             锛�1锛� log <sub>2</sub>8=<i>x</i>锛涳紙2锛� log
             <sub>4</sub>4<sup>5</sup>=<i>x</i>.
           </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鐢眑og
-            <sub>2</sub>8=<i>x</i>锛屽緱2<i><sup>x</sup></i>=8锛屽嵆2<i><sup>x</sup></i>=2<sup>3</sup>锛屾墍浠�<i>x</i>=3锛�
-          </p>
-          <p>
-            锛�2锛� 鐢眑og <sub>4</sub>4<sup>5</sup>=<i>x</i>锛屽緱4<i><sup>x</sup></i>=4<sup>5</sup>锛屾墍浠�<i>x</i>=5.
-          </p>
-          <p>
-            <span class="zt-ls"><b>渚�5</b></span>銆�姹備笅鍒楀悇寮忕殑鍊�.
+          <div v-if="isShowAnswer31" >
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鐢眑og
+              <sub>2</sub>8=<i>x</i>锛屽緱2<i><sup>x</sup></i>=8锛屽嵆2<i><sup>x</sup></i>=2<sup>3</sup>锛屾墍浠�<i>x</i>=3锛�
+            </p>
+            <p>
+              锛�2锛� 鐢眑og <sub>4</sub>4<sup>5</sup>=<i>x</i>锛屽緱4<i><sup>x</sup></i>=4<sup>5</sup>锛屾墍浠�<i>x</i>=5.
+            </p>
+          </div>
+          <p class="p-btn" >
+            <span>
+              <span class="zt-ls"><b>渚�5</b></span>銆�姹備笅鍒楀悇寮忕殑鍊�.
+            </span>
+            <span class="btn-box" @click="isShowAnswer32 = !isShowAnswer32">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+            <span class="btn-box" @click="openDialog(thinkFour)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.545" height="18.112" viewBox="0 0 20.545 22.112">
+                <path class="a"
+                  d="M3771.2-14311.889a2.356,2.356,0,0,1-1.727-.626c-.027-.054-.053-.1-.079-.148l0-.007c-.123-.224-.2-.371-.076-.629a.869.869,0,0,1,.784-.471.205.205,0,0,1,.158.079.205.205,0,0,0,.158.079.187.187,0,0,0,.038.1.143.143,0,0,0,.117.05h.158a.573.573,0,0,0,.471.158,2.2,2.2,0,0,0,.916-.3l.023-.011a.572.572,0,0,1,.471-.158.575.575,0,0,1,.626.626.526.526,0,0,1,.036.409.664.664,0,0,1-.349.375A3.582,3.582,0,0,1,3771.2-14311.889Zm-1.885-1.723h-.155a.718.718,0,0,1-.784-.63.38.38,0,0,1-.021-.3.976.976,0,0,1,.492-.485l4.86-1.252a1.047,1.047,0,0,1,.784.626c.151.3-.128.61-.471.784l-4.705,1.256Zm-.155-1.885H3769a.716.716,0,0,1-.784-.626c-.149-.3.129-.611.471-.784l4.234-1.1v-.158l-.021.007a7.808,7.808,0,0,1-1.861.31,5.3,5.3,0,0,1-3.137-.942,5.789,5.789,0,0,1-2.666-4.076,6.421,6.421,0,0,1,1.256-5.018,7.038,7.038,0,0,1,2.194-1.568,7.848,7.848,0,0,1,2.666-.472,6.43,6.43,0,0,1,2.979.784,4.958,4.958,0,0,1,2.2,2.194,5.522,5.522,0,0,1,.313,5.177,13.113,13.113,0,0,1-1.256,1.882l-.313.313a2.156,2.156,0,0,0-.78,1.244l0,.012a1.731,1.731,0,0,1-1.727,1.723l-.313.158-3.292.939Zm1.256-6.271v1.256h1.41v-1.256Zm.784-4.234c.718,0,1.1.271,1.1.784a.925.925,0,0,1-.316.783l-.468.156a2.235,2.235,0,0,0-.63.471l-.012.024a2.2,2.2,0,0,0-.3.918v.155h1.1v-.155a1.2,1.2,0,0,1,.313-.629.543.543,0,0,0,.315-.153c.007,0,.315,0,.315-.16a1.226,1.226,0,0,0,.626-.626,2.277,2.277,0,0,0,.313-1.1,1.409,1.409,0,0,0-.626-1.252,2.337,2.337,0,0,0-1.569-.471,2.258,2.258,0,0,0-2.507,2.353l1.252.154A1.121,1.121,0,0,1,3771.2-14326Zm-6.51,9.645a.769.769,0,0,1-.549-.237.772.772,0,0,1-.235-.549.772.772,0,0,1,.235-.548l.939-.939a.781.781,0,0,1,.55-.234.772.772,0,0,1,.547.234.772.772,0,0,1,.238.549.772.772,0,0,1-.238.549l-.939.938A.769.769,0,0,1,3764.686-14316.356Zm13.174-.157a.774.774,0,0,1-.549-.234l-.943-.942a.678.678,0,0,1-.233-.47.678.678,0,0,1,.233-.47.774.774,0,0,1,.549-.234.774.774,0,0,1,.549.234l.942.939a.427.427,0,0,1,.228.324.74.74,0,0,1-.228.618A.774.774,0,0,1,3777.859-14316.514Zm2.9-6.351h-1.414c-.469-.158-.784-.474-.784-.784a.743.743,0,0,1,.784-.784h1.414a.743.743,0,0,1,.784.784A.743.743,0,0,1,3780.761-14322.864Zm-17.566-.158h-1.41c-.469-.157-.784-.473-.784-.784a.743.743,0,0,1,.784-.784h1.41a.743.743,0,0,1,.784.784A.743.743,0,0,1,3763.195-14323.022Zm13.861-5.723a.759.759,0,0,1-.529-.237.776.776,0,0,1-.235-.549.772.772,0,0,1,.235-.549l.939-.938a.44.44,0,0,1,.413-.238.759.759,0,0,1,.529.238.772.772,0,0,1,.235.549.772.772,0,0,1-.235.548l-.942.939A.435.435,0,0,1,3777.055-14328.745Zm-11.429,0a.776.776,0,0,1-.55-.237l-.939-1.1a.678.678,0,0,1-.235-.469.678.678,0,0,1,.235-.47.772.772,0,0,1,.549-.238.772.772,0,0,1,.549.238l.939,1.1a.675.675,0,0,1,.238.47.675.675,0,0,1-.238.47A.767.767,0,0,1,3765.626-14328.745Zm5.724-2.273a.743.743,0,0,1-.784-.785v-1.413c.157-.469.473-.784.784-.784a.743.743,0,0,1,.784.784v1.413A.743.743,0,0,1,3771.35-14331.019Z"
+                  transform="translate(-3761 14334.001)" />
+              </svg>
+            </span>
           </p>
           <p>
             锛�1锛� log<sub>5</sub>1锛涳紙2锛� log<sub>7</sub>7锛涳紙3锛� lg 10锛涳紙4锛�
             ln e.
           </p>
-          <p>
-            <span class="zt-ls2"><b>鍒嗘瀽</b></span>銆�鍒╃敤鎬ц川鈥�1鐨勫鏁颁负0鈥濆拰鈥滃簳鏁扮殑瀵规暟涓�1鈥� 鐩存帴寰楃瓟妗堬紝涓嶅繀杞寲鎴愭寚
-          </p>
+          <div v-if="isShowAnswer32" >
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>锛�1锛� log<sub>5</sub>1=0锛涳紙2锛� log<sub>7</sub>7=1锛�
+            </p>
+            <p>锛�3锛� lg10=log<sub>10</sub>10=1锛涳紙4锛� ln e=log<sub>e</sub>e=1.</p>
+          </div>
         </div>
       </div>
     </div>
@@ -3586,11 +3953,6 @@
           </li>
         </ul>
         <div class="padding-116">
-          <p>鏁板紡.</p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>锛�1锛� log<sub>5</sub>1=0锛涳紙2锛� log<sub>7</sub>7=1锛�
-          </p>
-          <p>锛�3锛� lg10=log<sub>10</sub>10=1锛涳紙4锛� ln e=log<sub>e</sub>e=1.</p>
           <p class="left">
             <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
           </p>
@@ -3713,159 +4075,200 @@
             <examinations :cardList="questionData[139]" :hideCollect="true" sourceType="json" v-if="questionData">
             </examinations>
           </div>
-          <p>
-            <span
+          <p class="p-btn" >
+            <span>
+              <span
               class="zt-ls"><b>渚�1</b></span>銆�鐢╨og<i><sub>a</sub>x</i>锛宭og<i><sub>a</sub>y</i>锛宭og<i><sub>a</sub>z</i>琛ㄧず涓嬪垪鍚勫紡锛堝紡涓瓧姣嶅潎涓烘瀹炴暟涓�<i>a</i>鈮�1锛�.
+            </span>
+            <span class="btn-box" @click="openDialog(thinkFive)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.545" height="18.112" viewBox="0 0 20.545 22.112">
+                <path class="a"
+                  d="M3771.2-14311.889a2.356,2.356,0,0,1-1.727-.626c-.027-.054-.053-.1-.079-.148l0-.007c-.123-.224-.2-.371-.076-.629a.869.869,0,0,1,.784-.471.205.205,0,0,1,.158.079.205.205,0,0,0,.158.079.187.187,0,0,0,.038.1.143.143,0,0,0,.117.05h.158a.573.573,0,0,0,.471.158,2.2,2.2,0,0,0,.916-.3l.023-.011a.572.572,0,0,1,.471-.158.575.575,0,0,1,.626.626.526.526,0,0,1,.036.409.664.664,0,0,1-.349.375A3.582,3.582,0,0,1,3771.2-14311.889Zm-1.885-1.723h-.155a.718.718,0,0,1-.784-.63.38.38,0,0,1-.021-.3.976.976,0,0,1,.492-.485l4.86-1.252a1.047,1.047,0,0,1,.784.626c.151.3-.128.61-.471.784l-4.705,1.256Zm-.155-1.885H3769a.716.716,0,0,1-.784-.626c-.149-.3.129-.611.471-.784l4.234-1.1v-.158l-.021.007a7.808,7.808,0,0,1-1.861.31,5.3,5.3,0,0,1-3.137-.942,5.789,5.789,0,0,1-2.666-4.076,6.421,6.421,0,0,1,1.256-5.018,7.038,7.038,0,0,1,2.194-1.568,7.848,7.848,0,0,1,2.666-.472,6.43,6.43,0,0,1,2.979.784,4.958,4.958,0,0,1,2.2,2.194,5.522,5.522,0,0,1,.313,5.177,13.113,13.113,0,0,1-1.256,1.882l-.313.313a2.156,2.156,0,0,0-.78,1.244l0,.012a1.731,1.731,0,0,1-1.727,1.723l-.313.158-3.292.939Zm1.256-6.271v1.256h1.41v-1.256Zm.784-4.234c.718,0,1.1.271,1.1.784a.925.925,0,0,1-.316.783l-.468.156a2.235,2.235,0,0,0-.63.471l-.012.024a2.2,2.2,0,0,0-.3.918v.155h1.1v-.155a1.2,1.2,0,0,1,.313-.629.543.543,0,0,0,.315-.153c.007,0,.315,0,.315-.16a1.226,1.226,0,0,0,.626-.626,2.277,2.277,0,0,0,.313-1.1,1.409,1.409,0,0,0-.626-1.252,2.337,2.337,0,0,0-1.569-.471,2.258,2.258,0,0,0-2.507,2.353l1.252.154A1.121,1.121,0,0,1,3771.2-14326Zm-6.51,9.645a.769.769,0,0,1-.549-.237.772.772,0,0,1-.235-.549.772.772,0,0,1,.235-.548l.939-.939a.781.781,0,0,1,.55-.234.772.772,0,0,1,.547.234.772.772,0,0,1,.238.549.772.772,0,0,1-.238.549l-.939.938A.769.769,0,0,1,3764.686-14316.356Zm13.174-.157a.774.774,0,0,1-.549-.234l-.943-.942a.678.678,0,0,1-.233-.47.678.678,0,0,1,.233-.47.774.774,0,0,1,.549-.234.774.774,0,0,1,.549.234l.942.939a.427.427,0,0,1,.228.324.74.74,0,0,1-.228.618A.774.774,0,0,1,3777.859-14316.514Zm2.9-6.351h-1.414c-.469-.158-.784-.474-.784-.784a.743.743,0,0,1,.784-.784h1.414a.743.743,0,0,1,.784.784A.743.743,0,0,1,3780.761-14322.864Zm-17.566-.158h-1.41c-.469-.157-.784-.473-.784-.784a.743.743,0,0,1,.784-.784h1.41a.743.743,0,0,1,.784.784A.743.743,0,0,1,3763.195-14323.022Zm13.861-5.723a.759.759,0,0,1-.529-.237.776.776,0,0,1-.235-.549.772.772,0,0,1,.235-.549l.939-.938a.44.44,0,0,1,.413-.238.759.759,0,0,1,.529.238.772.772,0,0,1,.235.549.772.772,0,0,1-.235.548l-.942.939A.435.435,0,0,1,3777.055-14328.745Zm-11.429,0a.776.776,0,0,1-.55-.237l-.939-1.1a.678.678,0,0,1-.235-.469.678.678,0,0,1,.235-.47.772.772,0,0,1,.549-.238.772.772,0,0,1,.549.238l.939,1.1a.675.675,0,0,1,.238.47.675.675,0,0,1-.238.47A.767.767,0,0,1,3765.626-14328.745Zm5.724-2.273a.743.743,0,0,1-.784-.785v-1.413c.157-.469.473-.784.784-.784a.743.743,0,0,1,.784.784v1.413A.743.743,0,0,1,3771.35-14331.019Z"
+                  transform="translate(-3761 14334.001)" />
+              </svg>
+            </span>
           </p>
-          <p>
-            锛�1锛� log<i><sub>a</sub></i>锛�<i>x</i><sup>2</sup><i>yz</i><sup>3</sup>锛夛紱锛�2锛�<math display="0">
-              <msub>
-                <mi>log</mi>
-                <mrow>
-                  <mi>a</mi>
-                </mrow>
-              </msub>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mfrac>
-                <msup>
-                  <mi>x</mi>
+          <p class="p-btn" >
+            <span>
+              锛�1锛� log<i><sub>a</sub></i>锛�<i>x</i><sup>2</sup><i>yz</i><sup>3</sup>锛夛紱
+            </span>
+            <span class="btn-box" @click="isShowAnswer33 = !isShowAnswer33">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <p class="p-btn" >
+            <span>
+              锛�2锛�<math display="0">
+                <msub>
+                  <mi>log</mi>
                   <mrow>
-                    <mn>2</mn>
+                    <mi>a</mi>
                   </mrow>
-                </msup>
-                <mrow>
-                  <mi>y</mi>
-                  <mi>z</mi>
-                </mrow>
-              </mfrac>
-            </math>锛涳紙3锛�
-            <math display="0">
-              <msub>
-                <mi>log</mi>
-                <mrow>
-                  <mi>a</mi>
-                </mrow>
-              </msub>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mfrac>
-                <msqrt>
-                  <mi>x</mi>
-                </msqrt>
-                <mrow>
+                </msub>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mfrac>
                   <msup>
-                    <mi>y</mi>
+                    <mi>x</mi>
                     <mrow>
                       <mn>2</mn>
                     </mrow>
                   </msup>
-                  <mi>z</mi>
+                  <mrow>
+                    <mi>y</mi>
+                    <mi>z</mi>
+                  </mrow>
+                </mfrac>
+              </math>锛�
+            </span>
+            <span class="btn-box" @click="isShowAnswer34 = !isShowAnswer34">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <p class="p-btn" >
+            <span>
+              锛�3锛�
+              <math display="0">
+                <msub>
+                  <mi>log</mi>
+                  <mrow>
+                    <mi>a</mi>
+                  </mrow>
+                </msub>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
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+                      <mrow>
+                        <mn>2</mn>
+                      </mrow>
+                    </msup>
+                    <mi>z</mi>
+                  </mrow>
+                </mfrac>
+              </math>.
+            </span>
+            <span class="btn-box" @click="isShowAnswer35 = !isShowAnswer35">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <div v-if="isShowAnswer33" >            
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>
+            </p>
+            <p class="left1">
+              <math display="">
+                <mo stretchy="false">锛�1锛�</mo>
+                <msub>
+                  <mi>log</mi>
+                  <mrow>
+                    <mi>a</mi>
+                  </mrow>
+                </msub>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <msup>
+                    <mi>x</mi>
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+                      <mn>2</mn>
+                    </mrow>
+                  </msup>
+                  <mi>y</mi>
+                  <msup>
+                    <mi>z</mi>
+                    <mrow>
+                      <mn>3</mn>
+                    </mrow>
+                  </msup>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
                 </mrow>
-              </mfrac>
-            </math>.
-          </p>
-          <p class="block">
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-          </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>
-          </p>
-          <p class="left1">
-            <math display="">
-              <mo stretchy="false">锛�1锛�</mo>
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-                <mi>log</mi>
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-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
+                <mo>=</mo>
+                <msub>
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+                  <mrow>
+                    <mi>a</mi>
+                  </mrow>
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+                <mo data-mjx-texclass="NONE">鈦�</mo>
                 <msup>
                   <mi>x</mi>
                   <mrow>
                     <mn>2</mn>
                   </mrow>
                 </msup>
+                <mo>+</mo>
+                <msub>
+                  <mi>log</mi>
+                  <mrow>
+                    <mi>a</mi>
+                  </mrow>
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                 <mi>y</mi>
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                 <msup>
                   <mi>z</mi>
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                     <mn>3</mn>
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+                <mo>=</mo>
+                <mn>2</mn>
+                <msub>
+                  <mi>log</mi>
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+                    <mi>a</mi>
+                  </mrow>
+                </msub>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
                 <mi>x</mi>
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-                  <mn>2</mn>
-                </mrow>
-              </msup>
-              <mo>+</mo>
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-                <mi>log</mi>
-                <mrow>
-                  <mi>a</mi>
-                </mrow>
-              </msub>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mi>y</mi>
-              <mo>+</mo>
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-                <mi>log</mi>
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-                  <mi>a</mi>
-                </mrow>
-              </msub>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <msup>
+                <mo>+</mo>
+                <msub>
+                  <mi>log</mi>
+                  <mrow>
+                    <mi>a</mi>
+                  </mrow>
+                </msub>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mi>y</mi>
+                <mo>+</mo>
+                <mn>3</mn>
+                <msub>
+                  <mi>log</mi>
+                  <mrow>
+                    <mi>a</mi>
+                  </mrow>
+                </msub>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
                 <mi>z</mi>
-                <mrow>
-                  <mn>3</mn>
-                </mrow>
-              </msup>
-              <mo>=</mo>
-              <mn>2</mn>
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-                <mi>log</mi>
-                <mrow>
-                  <mi>a</mi>
-                </mrow>
-              </msub>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mi>x</mi>
-              <mo>+</mo>
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-                <mi>log</mi>
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-                  <mi>a</mi>
-                </mrow>
-              </msub>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mi>y</mi>
-              <mo>+</mo>
-              <mn>3</mn>
-              <msub>
-                <mi>log</mi>
-                <mrow>
-                  <mi>a</mi>
-                </mrow>
-              </msub>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mi>z</mi>
-              <mo>;</mo>
-            </math>
-          </p>
-          <p class="left1">
+                <mo>;</mo>
+              </math>
+            </p>
+          </div>
+          <p class="left1"  v-if="isShowAnswer34">
             <math display="">
               <mo stretchy="false">锛�2锛�</mo>
               <msub>
@@ -3976,7 +4379,7 @@
               <mo>;</mo>
             </math>
           </p>
-          <p class="left1">
+          <p class="left1" v-if="isShowAnswer35" >
             <math display="">
               <mo stretchy="false">锛�3锛�</mo>
               <msub>
@@ -4068,111 +4471,130 @@
           <p>
             <span class="zt-ls"><b>渚�2</b></span>銆�璁$畻.
           </p>
-          <p>
-            锛�1锛�
-            <math display="0">
-              <msub>
-                <mi>log</mi>
-                <mrow>
-                  <mn>5</mn>
-                </mrow>
-              </msub>
-              <mroot>
-                <mn>25</mn>
-                <mn>3</mn>
-              </mroot>
-            </math>锛涳紙2锛� log <sub>3</sub>锛�9<sup>3</sup>脳3<sup>5</sup>锛夛紱锛�3锛� log
-            <sub>7</sub>56-log<sub>7</sub>8.
+          <p class="p-btn" >
+            <span>
+              锛�1锛�
+              <math display="0">
+                <msub>
+                  <mi>log</mi>
+                  <mrow>
+                    <mn>5</mn>
+                  </mrow>
+                </msub>
+                <mroot>
+                  <mn>25</mn>
+                  <mn>3</mn>
+                </mroot>
+              </math>锛�
+            </span>
+            <span class="btn-box" @click="isShowAnswer36 = !isShowAnswer36">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-        </div>
-      </div>
-    </div>
-    <!-- 133 -->
-    <div class="page-box" page="140">
-      <div v-if="showPageList.indexOf(140) > -1">
-        <ul class="page-header-box">
-          <li>
-            <p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p>
-          </li>
-          <li>
-            <p><span>133</span></p>
-          </li>
-        </ul>
-
-        <div class="padding-116">
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>
+          <p class="p-btn" >
+            <span>
+              锛�2锛� log <sub>3</sub>锛�9<sup>3</sup>脳3<sup>5</sup>锛夛紱
+            </span>
+            <span class="btn-box" @click="isShowAnswer37 = !isShowAnswer37">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p class="left1">
-            <math display="">
-              <mo stretchy="false">锛�1锛�</mo>
-              <msub>
-                <mi>log</mi>
-                <mrow>
-                  <mn>5</mn>
-                </mrow>
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-                <mn>25</mn>
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-                <mrow>
-                  <mn>5</mn>
-                </mrow>
-              </msub>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mroot>
+          <p class="p-btn" >
+            <span>
+              锛�3锛� log
+              <sub>7</sub>56-log<sub>7</sub>8.
+            </span>
+            <span class="btn-box" @click="isShowAnswer38 = !isShowAnswer38">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <div v-if="isShowAnswer36" >
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>
+            </p>
+            <p class="left1">
+              <math display="">
+                <mo stretchy="false">锛�1锛�</mo>
+                <msub>
+                  <mi>log</mi>
+                  <mrow>
+                    <mn>5</mn>
+                  </mrow>
+                </msub>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mroot>
+                  <mn>25</mn>
+                  <mn>3</mn>
+                </mroot>
+                <mo>=</mo>
+                <msub>
+                  <mi>log</mi>
+                  <mrow>
+                    <mn>5</mn>
+                  </mrow>
+                </msub>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mroot>
+                  <msup>
+                    <mn>5</mn>
+                    <mrow>
+                      <mn>2</mn>
+                    </mrow>
+                  </msup>
+                  <mn>3</mn>
+                </mroot>
+                <mo>=</mo>
+                <msub>
+                  <mi>log</mi>
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+                    <mn>5</mn>
+                  </mrow>
+                </msub>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
                 <msup>
                   <mn>5</mn>
                   <mrow>
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+                    <mfrac>
+                      <mn>2</mn>
+                      <mn>3</mn>
+                    </mfrac>
                   </mrow>
                 </msup>
-                <mn>3</mn>
-              </mroot>
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+                  <mn>3</mn>
+                </mfrac>
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+                  <mi>log</mi>
+                  <mrow>
+                    <mn>5</mn>
+                  </mrow>
+                </msub>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
                 <mn>5</mn>
-                <mrow>
-                  <mfrac>
-                    <mn>2</mn>
-                    <mn>3</mn>
-                  </mfrac>
-                </mrow>
-              </msup>
-              <mo>=</mo>
-              <mfrac>
-                <mn>2</mn>
-                <mn>3</mn>
-              </mfrac>
-              <msub>
-                <mi>log</mi>
-                <mrow>
-                  <mn>5</mn>
-                </mrow>
-              </msub>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mn>5</mn>
-              <mo>=</mo>
-              <mfrac>
-                <mn>2</mn>
-                <mn>3</mn>
-              </mfrac>
-              <mo>;</mo>
-            </math>
-          </p>
-          <p class="left1">
+                <mo>=</mo>
+                <mfrac>
+                  <mn>2</mn>
+                  <mn>3</mn>
+                </mfrac>
+                <mo>;</mo>
+              </math>
+            </p>
+          </div>
+          <p v-if="isShowAnswer37" class="left1">
             <math display="">
               <mo stretchy="false">锛�2锛�</mo>
               <msub>
@@ -4264,7 +4686,7 @@
               <mo>;</mo>
             </math>
           </p>
-          <p class="left1">
+          <p v-if="isShowAnswer38" class="left1">
             <math display="">
               <mo stretchy="false">锛�3锛�</mo>
               <msub>
@@ -4310,6 +4732,25 @@
               <mo>.</mo>
             </math>
           </p>
+        </div>
+      </div>
+    </div>
+    <!-- 133 -->
+    <div class="page-box" page="140">
+      <div v-if="showPageList.indexOf(140) > -1">
+        <ul class="page-header-box">
+          <li>
+            <p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p>
+          </li>
+          <li>
+            <p><span>133</span></p>
+          </li>
+        </ul>
+
+        <div class="padding-116">
+
+
+
           <p class="left">
             <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
           </p>
@@ -4526,272 +4967,183 @@
           <li>涓婂唽</li>
         </ul>
         <div class="padding-116">
-          <p>
-            <span class="zt-ls"><b>渚�1</b></span>銆�姹俵og<sub>27</sub>8路log <sub>32</sub>9鐨勫��.
+          <p class="p-btn" >
+            <span>
+              <span class="zt-ls"><b>渚�1</b></span>銆�姹俵og<sub>27</sub>8路log <sub>32</sub>9鐨勫��.
+            </span>
+            <span class="btn-box" @click="isShowAnswer39 = !isShowAnswer39">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>
-          </p>
-          <math display="block">
-            <mtable displaystyle="true" columnalign="right left right left right left right left right left right left"
-              columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" rowspacing="3pt">
-              <mtr>
-                <mtd>
-                  <msub>
-                    <mi>log</mi>
-                    <mrow>
-                      <mn>27</mn>
-                    </mrow>
-                  </msub>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mn>8</mn>
-                  <mo>鈰�</mo>
-                  <msub>
-                    <mi>log</mi>
-                    <mrow>
-                      <mn>32</mn>
-                    </mrow>
-                  </msub>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mn>9</mn>
-                </mtd>
-                <mtd>
-                  <mi></mi>
-                  <mo>=</mo>
-                  <mfrac>
-                    <mrow>
-                      <mi>lg</mi>
-                      <mo data-mjx-texclass="NONE">鈦�</mo>
-                      <mn>8</mn>
-                    </mrow>
-                    <mrow>
-                      <mi>lg</mi>
-                      <mo data-mjx-texclass="NONE">鈦�</mo>
-                      <mn>27</mn>
-                    </mrow>
-                  </mfrac>
-                  <mo>鈰�</mo>
-                  <mfrac>
-                    <mrow>
-                      <mi>lg</mi>
-                      <mo data-mjx-texclass="NONE">鈦�</mo>
-                      <mn>9</mn>
-                    </mrow>
-                    <mrow>
-                      <mi>lg</mi>
-                      <mo data-mjx-texclass="NONE">鈦�</mo>
-                      <mn>32</mn>
-                    </mrow>
-                  </mfrac>
-                  <mo>=</mo>
-                  <mfrac>
-                    <mrow>
-                      <mi>lg</mi>
-                      <mo data-mjx-texclass="NONE">鈦�</mo>
-                      <msup>
-                        <mn>2</mn>
-                        <mrow>
-                          <mn>3</mn>
-                        </mrow>
-                      </msup>
-                    </mrow>
-                    <mrow>
-                      <mi>lg</mi>
-                      <mo data-mjx-texclass="NONE">鈦�</mo>
-                      <msup>
-                        <mn>3</mn>
-                        <mrow>
-                          <mn>3</mn>
-                        </mrow>
-                      </msup>
-                    </mrow>
-                  </mfrac>
-                  <mo>鈰�</mo>
-                  <mfrac>
-                    <mrow>
-                      <mi>lg</mi>
-                      <mo data-mjx-texclass="NONE">鈦�</mo>
-                      <msup>
-                        <mn>3</mn>
-                        <mrow>
+          <div v-if="isShowAnswer39" >
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>
+            </p>
+            <math display="block">
+              <mtable displaystyle="true" columnalign="right left right left right left right left right left right left"
+                columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" rowspacing="3pt">
+                <mtr>
+                  <mtd>
+                    <msub>
+                      <mi>log</mi>
+                      <mrow>
+                        <mn>27</mn>
+                      </mrow>
+                    </msub>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mn>8</mn>
+                    <mo>鈰�</mo>
+                    <msub>
+                      <mi>log</mi>
+                      <mrow>
+                        <mn>32</mn>
+                      </mrow>
+                    </msub>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mn>9</mn>
+                  </mtd>
+                  <mtd>
+                    <mi></mi>
+                    <mo>=</mo>
+                    <mfrac>
+                      <mrow>
+                        <mi>lg</mi>
+                        <mo data-mjx-texclass="NONE">鈦�</mo>
+                        <mn>8</mn>
+                      </mrow>
+                      <mrow>
+                        <mi>lg</mi>
+                        <mo data-mjx-texclass="NONE">鈦�</mo>
+                        <mn>27</mn>
+                      </mrow>
+                    </mfrac>
+                    <mo>鈰�</mo>
+                    <mfrac>
+                      <mrow>
+                        <mi>lg</mi>
+                        <mo data-mjx-texclass="NONE">鈦�</mo>
+                        <mn>9</mn>
+                      </mrow>
+                      <mrow>
+                        <mi>lg</mi>
+                        <mo data-mjx-texclass="NONE">鈦�</mo>
+                        <mn>32</mn>
+                      </mrow>
+                    </mfrac>
+                    <mo>=</mo>
+                    <mfrac>
+                      <mrow>
+                        <mi>lg</mi>
+                        <mo data-mjx-texclass="NONE">鈦�</mo>
+                        <msup>
                           <mn>2</mn>
-                        </mrow>
-                      </msup>
-                    </mrow>
-                    <mrow>
-                      <mi>lg</mi>
-                      <mo data-mjx-texclass="NONE">鈦�</mo>
-                      <msup>
+                          <mrow>
+                            <mn>3</mn>
+                          </mrow>
+                        </msup>
+                      </mrow>
+                      <mrow>
+                        <mi>lg</mi>
+                        <mo data-mjx-texclass="NONE">鈦�</mo>
+                        <msup>
+                          <mn>3</mn>
+                          <mrow>
+                            <mn>3</mn>
+                          </mrow>
+                        </msup>
+                      </mrow>
+                    </mfrac>
+                    <mo>鈰�</mo>
+                    <mfrac>
+                      <mrow>
+                        <mi>lg</mi>
+                        <mo data-mjx-texclass="NONE">鈦�</mo>
+                        <msup>
+                          <mn>3</mn>
+                          <mrow>
+                            <mn>2</mn>
+                          </mrow>
+                        </msup>
+                      </mrow>
+                      <mrow>
+                        <mi>lg</mi>
+                        <mo data-mjx-texclass="NONE">鈦�</mo>
+                        <msup>
+                          <mn>2</mn>
+                          <mrow>
+                            <mn>5</mn>
+                          </mrow>
+                        </msup>
+                      </mrow>
+                    </mfrac>
+                  </mtd>
+                </mtr>
+                <mtr>
+                  <mtd></mtd>
+                  <mtd>
+                    <mi></mi>
+                    <mo>=</mo>
+                    <mfrac>
+                      <mrow>
+                        <mn>3</mn>
+                        <mi>lg</mi>
+                        <mo data-mjx-texclass="NONE">鈦�</mo>
                         <mn>2</mn>
-                        <mrow>
-                          <mn>5</mn>
-                        </mrow>
-                      </msup>
-                    </mrow>
-                  </mfrac>
-                </mtd>
-              </mtr>
-              <mtr>
-                <mtd></mtd>
-                <mtd>
-                  <mi></mi>
-                  <mo>=</mo>
-                  <mfrac>
-                    <mrow>
-                      <mn>3</mn>
-                      <mi>lg</mi>
-                      <mo data-mjx-texclass="NONE">鈦�</mo>
+                      </mrow>
+                      <mrow>
+                        <mn>3</mn>
+                        <mi>lg</mi>
+                        <mo data-mjx-texclass="NONE">鈦�</mo>
+                        <mn>3</mn>
+                      </mrow>
+                    </mfrac>
+                    <mo>鈰�</mo>
+                    <mfrac>
+                      <mrow>
+                        <mn>2</mn>
+                        <mi>lg</mi>
+                        <mo data-mjx-texclass="NONE">鈦�</mo>
+                        <mn>3</mn>
+                      </mrow>
+                      <mrow>
+                        <mn>5</mn>
+                        <mi>lg</mi>
+                        <mo data-mjx-texclass="NONE">鈦�</mo>
+                        <mn>2</mn>
+                      </mrow>
+                    </mfrac>
+                    <mo>=</mo>
+                    <mfrac>
                       <mn>2</mn>
-                    </mrow>
-                    <mrow>
-                      <mn>3</mn>
-                      <mi>lg</mi>
-                      <mo data-mjx-texclass="NONE">鈦�</mo>
-                      <mn>3</mn>
-                    </mrow>
-                  </mfrac>
-                  <mo>鈰�</mo>
-                  <mfrac>
-                    <mrow>
-                      <mn>2</mn>
-                      <mi>lg</mi>
-                      <mo data-mjx-texclass="NONE">鈦�</mo>
-                      <mn>3</mn>
-                    </mrow>
-                    <mrow>
                       <mn>5</mn>
-                      <mi>lg</mi>
-                      <mo data-mjx-texclass="NONE">鈦�</mo>
-                      <mn>2</mn>
-                    </mrow>
-                  </mfrac>
-                  <mo>=</mo>
-                  <mfrac>
-                    <mn>2</mn>
-                    <mn>5</mn>
-                  </mfrac>
-                  <mo>.</mo>
-                </mtd>
-              </mtr>
-            </mtable>
-          </math>
-          <p>
-            <span
+                    </mfrac>
+                    <mo>.</mo>
+                  </mtd>
+                </mtr>
+              </mtable>
+            </math>
+          </div>
+          <p class="p-btn" >
+            <span>
+              <span
               class="zt-ls"><b>渚�2</b></span>銆�姹傝瘉锛歭og<i><sub>a</sub>b</i>路log<i><sub>b</sub>c</i>路log<i><sub>c</sub>a</i>=1锛�<i>a</i>锛�<i>b</i>锛�<i>c</i>鍧囦负姝e疄鏁帮紝涓斿潎涓嶇瓑浜�1锛�.
+            </span>
+            <span class="btn-box" @click="isShowAnswer40 = !isShowAnswer40">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p>
-            <b>璇佹槑</b>
-            <math display="0">
-              <msub>
-                <mi>log</mi>
-                <mrow>
-                  <mi>a</mi>
-                </mrow>
-              </msub>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mi>b</mi>
-              <mo>鈰�</mo>
-              <msub>
-                <mi>log</mi>
-                <mrow>
-                  <mi>b</mi>
-                </mrow>
-              </msub>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mi>c</mi>
-              <mo>鈰�</mo>
-              <msub>
-                <mi>log</mi>
-                <mrow>
-                  <mi>c</mi>
-                </mrow>
-              </msub>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mi>a</mi>
-              <mo>=</mo>
-              <mfrac>
-                <mrow>
-                  <mi>lg</mi>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mi>b</mi>
-                </mrow>
-                <mrow>
-                  <mi>lg</mi>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mi>a</mi>
-                </mrow>
-              </mfrac>
-              <mo>鈰�</mo>
-              <mfrac>
-                <mrow>
-                  <mi>lg</mi>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mi>c</mi>
-                </mrow>
-                <mrow>
-                  <mi>lg</mi>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mi>b</mi>
-                </mrow>
-              </mfrac>
-              <mo>鈰�</mo>
-              <mfrac>
-                <mrow>
-                  <mi>lg</mi>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mi>a</mi>
-                </mrow>
-                <mrow>
-                  <mi>lg</mi>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mi>c</mi>
-                </mrow>
-              </mfrac>
-              <mo>=</mo>
-              <mn>1</mn>
-            </math>.
-          </p>
-          <p>璁�</p>
-          <math display="block">
-            <msup>
-              <mi>a</mi>
-              <mrow>
-                <mi>b</mi>
-              </mrow>
-            </msup>
-            <mo>=</mo>
-            <mi mathvariant="bold">N</mi>
-            <mo stretchy="false">(</mo>
-            <mi>a</mi>
-            <mo>&gt;</mo>
-            <mn>0</mn>
-            <mtext>, 涓�&nbsp;</mtext>
-            <mi>a</mi>
-            <mo>鈮�</mo>
-            <mn>1</mn>
-            <mo stretchy="false">)</mo>
-            <mtext>,&nbsp;</mtext>
-          </math>
-          <p class="right">鈶�</p>
-          <p>鐢卞鏁板畾涔夊緱</p>
-          <math display="block">
-            <mi>b</mi>
-            <mo>=</mo>
-            <msub>
-              <mi>log</mi>
-              <mrow>
-                <mi>a</mi>
-              </mrow>
-            </msub>
-            <mi mathvariant="bold">N</mi>
-            <mo>锛�</mo>
-          </math>
-          <p class="right">鈶�</p>
-          <p>鎶娾憽浠e叆鈶犱腑锛屽緱</p>
-          <math display="block">
-            <msup>
-              <mi>a</mi>
-              <mrow>
+          <div v-if="isShowAnswer40" >
+            <p>
+              <b>璇佹槑</b>
+              <math display="0">
                 <msub>
                   <mi>log</mi>
                   <mrow>
@@ -4799,25 +5151,145 @@
                   </mrow>
                 </msub>
                 <mo data-mjx-texclass="NONE">鈦�</mo>
-                <mi mathvariant="bold">N</mi>
-              </mrow>
-            </msup>
-            <mo>=</mo>
-            <mi mathvariant="bold">N</mi>
-            <mo stretchy="false">(</mo>
-            <mi>a</mi>
-            <mo>&gt;</mo>
-            <mn>0</mn>
-            <mtext>, 涓�&nbsp;</mtext>
-            <mi>a</mi>
-            <mo>鈮�</mo>
-            <mn>1</mn>
-            <mo stretchy="false">)</mo>
-            <mtext>.&nbsp;</mtext>
-          </math>
-          <p>杩欎釜寮忓瓙鍙�<b>瀵规暟鎭掔瓑寮�</b>.</p>
-          <p>
-            <span class="zt-ls"><b>渚�3</b></span>銆�姹備笅鍒楀悇寮忕殑鍊�.
+                <mi>b</mi>
+                <mo>鈰�</mo>
+                <msub>
+                  <mi>log</mi>
+                  <mrow>
+                    <mi>b</mi>
+                  </mrow>
+                </msub>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mi>c</mi>
+                <mo>鈰�</mo>
+                <msub>
+                  <mi>log</mi>
+                  <mrow>
+                    <mi>c</mi>
+                  </mrow>
+                </msub>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mi>a</mi>
+                <mo>=</mo>
+                <mfrac>
+                  <mrow>
+                    <mi>lg</mi>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mi>b</mi>
+                  </mrow>
+                  <mrow>
+                    <mi>lg</mi>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mi>a</mi>
+                  </mrow>
+                </mfrac>
+                <mo>鈰�</mo>
+                <mfrac>
+                  <mrow>
+                    <mi>lg</mi>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mi>c</mi>
+                  </mrow>
+                  <mrow>
+                    <mi>lg</mi>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mi>b</mi>
+                  </mrow>
+                </mfrac>
+                <mo>鈰�</mo>
+                <mfrac>
+                  <mrow>
+                    <mi>lg</mi>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mi>a</mi>
+                  </mrow>
+                  <mrow>
+                    <mi>lg</mi>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mi>c</mi>
+                  </mrow>
+                </mfrac>
+                <mo>=</mo>
+                <mn>1</mn>
+              </math>.
+            </p>
+            <p>璁�</p>
+            <math display="block">
+              <msup>
+                <mi>a</mi>
+                <mrow>
+                  <mi>b</mi>
+                </mrow>
+              </msup>
+              <mo>=</mo>
+              <mi mathvariant="bold">N</mi>
+              <mo stretchy="false">(</mo>
+              <mi>a</mi>
+              <mo>&gt;</mo>
+              <mn>0</mn>
+              <mtext>, 涓�&nbsp;</mtext>
+              <mi>a</mi>
+              <mo>鈮�</mo>
+              <mn>1</mn>
+              <mo stretchy="false">)</mo>
+              <mtext>,&nbsp;</mtext>
+            </math>
+            <p class="right">鈶�</p>
+            <p>鐢卞鏁板畾涔夊緱</p>
+            <math display="block">
+              <mi>b</mi>
+              <mo>=</mo>
+              <msub>
+                <mi>log</mi>
+                <mrow>
+                  <mi>a</mi>
+                </mrow>
+              </msub>
+              <mi mathvariant="bold">N</mi>
+              <mo>锛�</mo>
+            </math>
+            <p class="right">鈶�</p>
+            <p>鎶娾憽浠e叆鈶犱腑锛屽緱</p>
+            <math display="block">
+              <msup>
+                <mi>a</mi>
+                <mrow>
+                  <msub>
+                    <mi>log</mi>
+                    <mrow>
+                      <mi>a</mi>
+                    </mrow>
+                  </msub>
+                  <mo data-mjx-texclass="NONE">鈦�</mo>
+                  <mi mathvariant="bold">N</mi>
+                </mrow>
+              </msup>
+              <mo>=</mo>
+              <mi mathvariant="bold">N</mi>
+              <mo stretchy="false">(</mo>
+              <mi>a</mi>
+              <mo>&gt;</mo>
+              <mn>0</mn>
+              <mtext>, 涓�&nbsp;</mtext>
+              <mi>a</mi>
+              <mo>鈮�</mo>
+              <mn>1</mn>
+              <mo stretchy="false">)</mo>
+              <mtext>.&nbsp;</mtext>
+            </math>
+            <p>杩欎釜寮忓瓙鍙�<b>瀵规暟鎭掔瓑寮�</b>.</p>
+          </div>
+          <p class="p-btn" >
+            <span>
+              <span class="zt-ls"><b>渚�3</b></span>銆�姹備笅鍒楀悇寮忕殑鍊�.
+            </span>
+            <span class="btn-box" @click="isShowAnswer41 = !isShowAnswer41">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
           <p>
             锛�1锛�
@@ -4866,170 +5338,172 @@
               </msup>
             </math>.
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-            <span class="zt-ls"><b>瑙�</b></span>
-          </p>
-          <p class="left1">
-            <math display="">
-              <mo stretchy="false">锛�1锛�</mo>
-              <msup>
-                <mn>2</mn>
-                <mrow>
-                  <msub>
-                    <mi>log</mi>
-                    <mrow>
-                      <mn>2</mn>
-                    </mrow>
-                  </msub>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mn>7</mn>
-                </mrow>
-              </msup>
-              <mo>=</mo>
-              <mn>7</mn>
-              <mo>;</mo>
-            </math>
-          </p>
-          <p class="left1">
-            <math display="">
-              <mo stretchy="false">锛�2锛�</mo>
-              <msup>
-                <mn>4</mn>
-                <mrow>
-                  <msub>
-                    <mi>log</mi>
-                    <mrow>
-                      <mn>2</mn>
-                    </mrow>
-                  </msub>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mn>7</mn>
-                </mrow>
-              </msup>
-              <mo>=</mo>
-              <msup>
-                <mrow data-mjx-texclass="INNER">
-                  <mo data-mjx-texclass="OPEN">(</mo>
-                  <msup>
-                    <mn>2</mn>
-                    <mrow>
-                      <mn>2</mn>
-                    </mrow>
-                  </msup>
-                  <mo data-mjx-texclass="CLOSE">)</mo>
-                </mrow>
-                <mrow>
-                  <msub>
-                    <mi>log</mi>
-                    <mrow>
-                      <mn>2</mn>
-                    </mrow>
-                  </msub>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mn>7</mn>
-                </mrow>
-              </msup>
-              <mo>=</mo>
-              <msup>
-                <mn>2</mn>
-                <mrow>
+          <div v-if="isShowAnswer41" >
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>
+            </p>
+            <p class="left1">
+              <math display="">
+                <mo stretchy="false">锛�1锛�</mo>
+                <msup>
                   <mn>2</mn>
-                  <msub>
-                    <mi>log</mi>
-                    <mrow>
-                      <mn>2</mn>
-                    </mrow>
-                  </msub>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mn>7</mn>
-                </mrow>
-              </msup>
-              <mo>=</mo>
-              <msup>
-                <mn>2</mn>
-                <mrow>
-                  <msub>
-                    <mi>log</mi>
-                    <mrow>
-                      <mn>2</mn>
-                    </mrow>
-                  </msub>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <msup>
+                  <mrow>
+                    <msub>
+                      <mi>log</mi>
+                      <mrow>
+                        <mn>2</mn>
+                      </mrow>
+                    </msub>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
                     <mn>7</mn>
-                    <mrow>
+                  </mrow>
+                </msup>
+                <mo>=</mo>
+                <mn>7</mn>
+                <mo>;</mo>
+              </math>
+            </p>
+            <p class="left1">
+              <math display="">
+                <mo stretchy="false">锛�2锛�</mo>
+                <msup>
+                  <mn>4</mn>
+                  <mrow>
+                    <msub>
+                      <mi>log</mi>
+                      <mrow>
+                        <mn>2</mn>
+                      </mrow>
+                    </msub>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mn>7</mn>
+                  </mrow>
+                </msup>
+                <mo>=</mo>
+                <msup>
+                  <mrow data-mjx-texclass="INNER">
+                    <mo data-mjx-texclass="OPEN">(</mo>
+                    <msup>
                       <mn>2</mn>
-                    </mrow>
-                  </msup>
-                </mrow>
-              </msup>
-              <mo>=</mo>
-              <msup>
+                      <mrow>
+                        <mn>2</mn>
+                      </mrow>
+                    </msup>
+                    <mo data-mjx-texclass="CLOSE">)</mo>
+                  </mrow>
+                  <mrow>
+                    <msub>
+                      <mi>log</mi>
+                      <mrow>
+                        <mn>2</mn>
+                      </mrow>
+                    </msub>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mn>7</mn>
+                  </mrow>
+                </msup>
+                <mo>=</mo>
+                <msup>
+                  <mn>2</mn>
+                  <mrow>
+                    <mn>2</mn>
+                    <msub>
+                      <mi>log</mi>
+                      <mrow>
+                        <mn>2</mn>
+                      </mrow>
+                    </msub>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mn>7</mn>
+                  </mrow>
+                </msup>
+                <mo>=</mo>
+                <msup>
+                  <mn>2</mn>
+                  <mrow>
+                    <msub>
+                      <mi>log</mi>
+                      <mrow>
+                        <mn>2</mn>
+                      </mrow>
+                    </msub>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <msup>
+                      <mn>7</mn>
+                      <mrow>
+                        <mn>2</mn>
+                      </mrow>
+                    </msup>
+                  </mrow>
+                </msup>
+                <mo>=</mo>
+                <msup>
+                  <mn>2</mn>
+                  <mrow>
+                    <msub>
+                      <mi>log</mi>
+                      <mrow>
+                        <mn>2</mn>
+                      </mrow>
+                    </msub>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mn>49</mn>
+                  </mrow>
+                </msup>
+                <mo>=</mo>
+                <mn>49</mn>
+                <mo>;</mo>
+              </math>
+            </p>
+            <p class="left1">
+              <math display="">
+                <mo stretchy="false">锛�3锛�</mo>
+                <msup>
+                  <mn>2</mn>
+                  <mrow>
+                    <mn>1</mn>
+                    <mo>+</mo>
+                    <msub>
+                      <mi>log</mi>
+                      <mrow>
+                        <mn>2</mn>
+                      </mrow>
+                    </msub>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mn>7</mn>
+                  </mrow>
+                </msup>
+                <mo>=</mo>
+                <msup>
+                  <mn>2</mn>
+                  <mrow>
+                    <mn>1</mn>
+                  </mrow>
+                </msup>
+                <mo>脳</mo>
+                <msup>
+                  <mn>2</mn>
+                  <mrow>
+                    <msub>
+                      <mi>log</mi>
+                      <mrow>
+                        <mn>2</mn>
+                      </mrow>
+                    </msub>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mn>7</mn>
+                  </mrow>
+                </msup>
+                <mo>=</mo>
                 <mn>2</mn>
-                <mrow>
-                  <msub>
-                    <mi>log</mi>
-                    <mrow>
-                      <mn>2</mn>
-                    </mrow>
-                  </msub>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mn>49</mn>
-                </mrow>
-              </msup>
-              <mo>=</mo>
-              <mn>49</mn>
-              <mo>;</mo>
-            </math>
-          </p>
-          <p class="left1">
-            <math display="">
-              <mo stretchy="false">锛�3锛�</mo>
-              <msup>
-                <mn>2</mn>
-                <mrow>
-                  <mn>1</mn>
-                  <mo>+</mo>
-                  <msub>
-                    <mi>log</mi>
-                    <mrow>
-                      <mn>2</mn>
-                    </mrow>
-                  </msub>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mn>7</mn>
-                </mrow>
-              </msup>
-              <mo>=</mo>
-              <msup>
-                <mn>2</mn>
-                <mrow>
-                  <mn>1</mn>
-                </mrow>
-              </msup>
-              <mo>脳</mo>
-              <msup>
-                <mn>2</mn>
-                <mrow>
-                  <msub>
-                    <mi>log</mi>
-                    <mrow>
-                      <mn>2</mn>
-                    </mrow>
-                  </msub>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mn>7</mn>
-                </mrow>
-              </msup>
-              <mo>=</mo>
-              <mn>2</mn>
-              <mo>脳</mo>
-              <mn>7</mn>
-              <mo>=</mo>
-              <mn>14</mn>
-              <mo>.</mo>
-            </math>
-          </p>
+                <mo>脳</mo>
+                <mn>7</mn>
+                <mo>=</mo>
+                <mn>14</mn>
+                <mo>.</mo>
+              </math>
+            </p>
+          </div>
           <p class="left">
             <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
           </p>
@@ -5139,96 +5613,136 @@
               鐪熸暟鐨勫彇鍊艰寖鍥翠负锛�0锛�+鈭烇級锛屾墍浠ュ鏁板嚱鏁拌嚜鍙橀噺<i>x</i>鐨勫彇鍊艰寖鍥翠负锛�0锛�+鈭烇級.
             </p>
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-          <p>
-            <span
-              class="zt-ls"><b>渚�1</b></span>銆�宸茬煡瀵规暟鍑芥暟<i>f</i>锛�<i>x</i>锛�=log<i><sub>a</sub>x</i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夛紝涓�<i>f</i>锛�9锛�=
-            2锛屾眰<i>f</i>锛�3锛夛紝<i>f</i>锛�1锛夛紝<math display="0">
-              <mi>f</mi>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
+          <p class="p-btn" >
+            <span>
+              <span
+                class="zt-ls"><b>渚�1</b></span>銆�宸茬煡瀵规暟鍑芥暟<i>f</i>锛�<i>x</i>锛�=log<i><sub>a</sub>x</i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夛紝涓�<i>f</i>锛�9锛�=
+              2锛屾眰<i>f</i>锛�3锛夛紝<i>f</i>锛�1锛夛紝<math display="0">
+                <mi>f</mi>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mfrac>
+                    <mn>1</mn>
+                    <mn>27</mn>
+                  </mfrac>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+              </math>鐨勫��.
+            </span>
+            <span class="btn-box" @click="isShowAnswer42 = !isShowAnswer42">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
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+                  transform="translate(-3327.144 15329)" />
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+            </span>
+            <span class="btn-box" @click="openDialog(thinkSix)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.545" height="18.112" viewBox="0 0 20.545 22.112">
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+                  transform="translate(-3761 14334.001)" />
+              </svg>
+            </span>
+          </p>
+          <div v-if="isShowAnswer42" >
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span> 鍥犱负<i>f</i>锛�9锛�=2锛屽緱2=log<i><sub>a</sub></i>9.
+            </p>
+            <p>浜庢槸<i>a</i><sup>2</sup>=9锛屽緱<i>a</i>=3锛�</p>
+            <p>鍑芥暟瑙f瀽寮忎负<i>f</i>锛�<i>x</i>锛�=log<sub>3</sub><i>x</i>.</p>
+            <p>
+              鎵�浠�<i>f</i>锛�3锛�=log<sub>3</sub>3=1锛�
+              <i>f</i>锛�1锛�=log<sub>3</sub>1=0锛�
+            </p>
+            <p>
+              <math display="0">
+                <mi>f</mi>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mfrac>
+                    <mn>1</mn>
+                    <mn>27</mn>
+                  </mfrac>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+                <mo>=</mo>
+                <msub>
+                  <mi>log</mi>
+                  <mrow>
+                    <mn>3</mn>
+                  </mrow>
+                </msub>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
                 <mfrac>
                   <mn>1</mn>
                   <mn>27</mn>
                 </mfrac>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-            </math>鐨勫��.
-          </p>
-          <p class="block">
-            <span class="zt-ls2"><b>鍒嗘瀽</b></span>銆�棣栧厛鏍规嵁鏉′欢纭畾搴曟暟<i>a</i>锛岀劧鍚庡啀璁$畻瀵瑰簲鍑芥暟鍊�.
-          </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span> 鍥犱负<i>f</i>锛�9锛�=2锛屽緱2=log<i><sub>a</sub></i>9.
-          </p>
-          <p>浜庢槸<i>a</i><sup>2</sup>=9锛屽緱<i>a</i>=3锛�</p>
-          <p>鍑芥暟瑙f瀽寮忎负<i>f</i>锛�<i>x</i>锛�=log<sub>3</sub><i>x</i>.</p>
-          <p>
-            鎵�浠�<i>f</i>锛�3锛�=log<sub>3</sub>3=1锛�
-            <i>f</i>锛�1锛�=log<sub>3</sub>1=0锛�
-          </p>
-          <p>
-            <math display="0">
-              <mi>f</mi>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
-                <mfrac>
-                  <mn>1</mn>
-                  <mn>27</mn>
-                </mfrac>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-              <mo>=</mo>
-              <msub>
-                <mi>log</mi>
-                <mrow>
+                <mo>=</mo>
+                <msub>
+                  <mi>log</mi>
+                  <mrow>
+                    <mn>3</mn>
+                  </mrow>
+                </msub>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <msup>
                   <mn>3</mn>
-                </mrow>
-              </msub>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mfrac>
-                <mn>1</mn>
-                <mn>27</mn>
-              </mfrac>
-              <mo>=</mo>
-              <msub>
-                <mi>log</mi>
-                <mrow>
-                  <mn>3</mn>
-                </mrow>
-              </msub>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <msup>
+                  <mrow>
+                    <mo>鈭�</mo>
+                    <mn>3</mn>
+                  </mrow>
+                </msup>
+                <mo>=</mo>
+                <mo>鈭�</mo>
                 <mn>3</mn>
-                <mrow>
-                  <mo>鈭�</mo>
-                  <mn>3</mn>
-                </mrow>
-              </msup>
-              <mo>=</mo>
-              <mo>鈭�</mo>
-              <mn>3</mn>
-            </math>.
-          </p>
+              </math>.
+            </p>
+          </div>
           <p>
             <span class="zt-ls"><b>渚�2</b></span>銆�姹備笅鍒楀嚱鏁扮殑瀹氫箟鍩�.
           </p>
-          <p>
-            锛�1锛� <i>y</i>=log <sub>0.5</sub>锛�<i>x</i>-3锛夛紱锛�2锛�
-            <i>y</i>=log<sub>3</sub>锛�4-<i>x</i><sup>2</sup>锛�.
+          <p class="p-btn" >
+            <span>
+              锛�1锛� <i>y</i>=log <sub>0.5</sub>锛�<i>x</i>-3锛夛紱
+            </span>
+            <span class="btn-box" @click="isShowAnswer43 = !isShowAnswer43">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 瑕佷娇鍑芥暟鏈夋剰涔夛紝蹇呴』婊¤冻<i>x</i>-3锛�0锛岃В寰�<i>x</i>锛�3.
+          <p class="p-btn" >
+            <span>
+              锛�2锛�
+              <i>y</i>=log<sub>3</sub>锛�4-<i>x</i><sup>2</sup>锛�.
+            </span>
+            <span class="btn-box" @click="isShowAnswer44 = !isShowAnswer44">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p>
-            鎵�浠ワ紝<i>y</i>=log <sub>0.5</sub>锛�<i>x</i>-3锛夌殑瀹氫箟鍩熸槸锛�3锛�+鈭烇級.
-          </p>
-          <p>
-            锛�2锛� 瑕佷娇鍑芥暟鏈夋剰涔夛紝蹇呴』婊¤冻4-<i>x</i><sup>2</sup>锛�0锛岃В寰�
-            -2锛�<i>x</i>锛�2.
-          </p>
-          <p>
-            鎵�浠ワ紝<i>y</i>=log<sub>3</sub>锛�4-<i>x</i><sup>2</sup>锛夌殑瀹氫箟鍩熸槸锛�-2锛�2锛�.
-          </p>
+          <div v-if="isShowAnswer43" >
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 瑕佷娇鍑芥暟鏈夋剰涔夛紝蹇呴』婊¤冻<i>x</i>-3锛�0锛岃В寰�<i>x</i>锛�3.
+            </p>
+            <p>
+              鎵�浠ワ紝<i>y</i>=log <sub>0.5</sub>锛�<i>x</i>-3锛夌殑瀹氫箟鍩熸槸锛�3锛�+鈭烇級.
+            </p>
+          </div>
+          <div v-if="isShowAnswer44" > 
+            <p>
+              锛�2锛� 瑕佷娇鍑芥暟鏈夋剰涔夛紝蹇呴』婊¤冻4-<i>x</i><sup>2</sup>锛�0锛岃В寰�
+              -2锛�<i>x</i>锛�2.
+            </p>
+            <p>
+              鎵�浠ワ紝<i>y</i>=log<sub>3</sub>锛�4-<i>x</i><sup>2</sup>锛夌殑瀹氫箟鍩熸槸锛�-2锛�2锛�.
+            </p>
+          </div>
         </div>
       </div>
     </div>
@@ -5425,29 +5939,97 @@
             <examinations :cardList="questionData[146]" :hideCollect="true" sourceType="json"
             v-if="questionData" ></examinations>
           </div>
-          <p>
-            <span class="zt-ls"><b>渚�1</b></span>銆�姣旇緝涓嬪垪鍚勭粍鏁颁腑涓や釜鍊肩殑澶у皬.
+          <p class="p-btn" >
+            <span>
+              <span class="zt-ls"><b>渚�1</b></span>銆�姣旇緝涓嬪垪鍚勭粍鏁颁腑涓や釜鍊肩殑澶у皬.
+            </span>
+            <span class="btn-box" @click="openDialog(thinkSeven)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.545" height="18.112" viewBox="0 0 20.545 22.112">
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           </p>
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-            锛�1锛� log<sub>2</sub>5.3 涓巐og<sub>2</sub>4.7锛涳紙2锛� log
-            <sub>0.2</sub>7涓巐og <sub>0.2</sub>9锛�
+          <p class="p-btn" >
+            <span>
+              锛�1锛� log<sub>2</sub>5.3 涓巐og<sub>2</sub>4.7锛�
+            </span>
+            <span class="btn-box" @click="isShowAnswer45 = !isShowAnswer45">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
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-            锛�3锛� log<sub>5</sub>4涓�1锛涳紙4锛塴og<sub>3</sub>4涓巐og
+          <p class="p-btn" >
+            <span>
+              锛�2锛� log
+              <sub>0.2</sub>7涓巐og <sub>0.2</sub>9锛�
+            </span>
+            <span class="btn-box" @click="isShowAnswer46 = !isShowAnswer46">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
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+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <p class="p-btn" >
+            <span>
+              锛�3锛� log<sub>5</sub>4涓�1锛�
+            </span>
+            <span class="btn-box" @click="isShowAnswer47 = !isShowAnswer47">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
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+            </span>
+          </p>
+          <p class="p-btn" >
+            <span>
+              锛�4锛塴og<sub>3</sub>4涓巐og
+            <sub>0.3</sub>4.
+            </span>
+            <span class="btn-box" @click="isShowAnswer48 = !isShowAnswer48">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
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+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <div v-if="isShowAnswer45" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>锛�1锛�
+              鍥犱负搴曟暟2锛�1锛屾墍浠�<i>y</i>=log<sub>2</sub><i>x</i>鍦ㄥ尯闂达紙0锛�+鈭烇級涓婃槸澧炲嚱鏁帮紝鍑芥暟鍥惧儚濡傚浘4-10鎵�绀�.
+            </p>
+            <p>鍙堝洜涓�5.3锛�4.7锛屾墍浠og<sub>2</sub>5.3锛瀕og<sub>2</sub>4.7.</p>
+            <p class="center">
+                <img class="img-f" alt="" src="../../assets/images/0151-1.jpg" />
+              </p>
+              <p class="img">鍥�4-10</p>
+          </div>
+          <div v-if="isShowAnswer46" > 
+            <p>
+              锛�2锛� 鍥犱负搴曟暟0锛�0.2锛�1锛屾墍浠�<i>y</i>=log <sub>0.2</sub><i>x</i>鍦ㄥ尯闂达紙0锛�+鈭烇級涓婃槸鍑忓嚱鏁帮紝鍑芥暟鍥惧儚濡傚浘4-11鎵�绀�.
+            </p>
+            <p>鍙堝洜涓�7锛�9锛屾墍浠og <sub>0.2</sub>7锛瀕og <sub>0.2</sub>9.</p>
+            <p class="center">
+                <img class="img-f" alt="" src="../../assets/images/0151-2.jpg" />
+              </p>
+              <p class="img">鍥�4-11</p>
+          </div>
+          <p v-if="isShowAnswer47">
+            锛�3锛� log<sub>5</sub>4锛渓og<sub>5</sub>5=1锛屽嵆log<sub>5</sub>4锛�1.
+          </p>
+          <p v-if="isShowAnswer48" >
+            锛�4锛� 鍥犱负 log<sub>3</sub>4锛瀕og<sub>3</sub>1=0锛宭og
+            <sub>0.3</sub>4锛渓og <sub>0.3</sub>1=0锛屾墍浠� log<sub>3</sub>4锛瀕og
             <sub>0.3</sub>4.
           </p>
-          <p class="block">
-            <span class="zt-ls2"><b>鍒嗘瀽</b></span>銆�鑻ヤ袱涓鏁扮殑搴曟暟鐩稿悓锛屽彲鍒╃敤瀵规暟鍑芥暟鐨勫崟璋冩�х洿鎺ユ瘮杈冿紱鑻ュ簳鏁颁笉鍚岋紝鍙噰鐢ㄥ厛涓庝腑闂撮噺锛堥�氬父鏄�0鎴�1锛夎繘琛屾瘮杈冿紝鍐嶅埄鐢ㄤ笉绛夊紡浼犻�掓�у緱鍑虹粨璁�.
-          </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>锛�1锛�
-            鍥犱负搴曟暟2锛�1锛屾墍浠�<i>y</i>=log<sub>2</sub><i>x</i>鍦ㄥ尯闂达紙0锛�+鈭烇級涓婃槸澧炲嚱鏁帮紝鍑芥暟鍥惧儚濡傚浘4-10鎵�绀�.
-          </p>
-          <p>鍙堝洜涓�5.3锛�4.7锛屾墍浠og<sub>2</sub>5.3锛瀕og<sub>2</sub>4.7.</p>
-          <p>
-            锛�2锛� 鍥犱负搴曟暟0锛�0.2锛�1锛屾墍浠�<i>y</i>=log <sub>0.2</sub><i>x</i>鍦ㄥ尯闂达紙0锛�+鈭烇級涓婃槸鍑忓嚱鏁帮紝鍑芥暟鍥惧儚濡傚浘4-11鎵�绀�.
-          </p>
-          <p>鍙堝洜涓�7锛�9锛屾墍浠og <sub>0.2</sub>7锛瀕og <sub>0.2</sub>9.</p>
         </div>
       </div>
     </div>
@@ -5461,149 +6043,152 @@
         </ul>
         <div class="padding-116">
           <p>
-            锛�3锛� log<sub>5</sub>4锛渓og<sub>5</sub>5=1锛屽嵆log<sub>5</sub>4锛�1.
-          </p>
-          <ul class="fl">
-            <li>
-              <p class="center">
-                <img class="img-a" alt="" src="../../assets/images/0151-1.jpg" />
-              </p>
-              <p class="img">鍥�4-10</p>
-            </li>
-            <li>
-              <p class="center">
-                <img class="img-a" alt="" src="../../assets/images/0151-2.jpg" />
-              </p>
-              <p class="img">鍥�4-11</p>
-            </li>
-          </ul>
-          <p>
-            锛�4锛� 鍥犱负 log<sub>3</sub>4锛瀕og<sub>3</sub>1=0锛宭og
-            <sub>0.3</sub>4锛渓og <sub>0.3</sub>1=0锛屾墍浠� log<sub>3</sub>4锛瀕og
-            <sub>0.3</sub>4.
-          </p>
-          <p>
             <span class="zt-ls"><b>渚�2</b></span>銆�瑙d笅鍒椾笉绛夊紡.
           </p>
-          <p>
-            锛�1锛塴og <sub>4</sub><i>x</i>锛渓og<sub>4</sub>5锛涳紙2锛�
-            <math display="0">
-              <msub>
-                <mi>log</mi>
-                <mrow>
-                  <mfrac>
-                    <mn>4</mn>
-                    <mn>5</mn>
-                  </mfrac>
-                </mrow>
-              </msub>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mi>x</mi>
-              <mo>锛�</mo>
-              <mn>1</mn>
-            </math>.
+          <p class="p-btn" >
+            <span>
+              锛�1锛塴og <sub>4</sub><i>x</i>锛渓og<sub>4</sub>5锛�
+            </span>
+            <span class="btn-box" @click="isShowAnswer49 = !isShowAnswer49">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
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-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍥犱负<i>y</i>=log
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+          <p class="p-btn" >
+            <span>
+              锛�2锛�
+              <math display="0">
+                <msub>
+                  <mi>log</mi>
+                  <mrow>
+                    <mfrac>
+                      <mn>4</mn>
+                      <mn>5</mn>
+                    </mfrac>
+                  </mrow>
+                </msub>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mi>x</mi>
+                <mo>锛�</mo>
+                <mn>1</mn>
+              </math>.
+            </span>
+            <span class="btn-box" @click="isShowAnswer50 = !isShowAnswer50">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
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-          <p>鍙堝洜涓�<i>x</i>锛�0锛屾墍浠�0锛�<i>x</i>锛�5.</p>
-          <p>鎵�浠ヤ笉绛夊紡鐨勮В闆嗕负锛�0锛�5锛�.</p>
-          <p>
-            锛�2锛�
-            <math display="0">
-              <msub>
-                <mi>log</mi>
-                <mrow>
-                  <mfrac>
-                    <mn>4</mn>
-                    <mn>5</mn>
-                  </mfrac>
-                </mrow>
-              </msub>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mi>x</mi>
-              <mo>锛�</mo>
-              <mn>1</mn>
-            </math>锛屽嵆<math display="0">
-              <msub>
-                <mi>log</mi>
-                <mrow>
-                  <mfrac>
-                    <mn>4</mn>
-                    <mn>5</mn>
-                  </mfrac>
-                </mrow>
-              </msub>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mi>x</mi>
-              <mo>&gt;</mo>
-              <msub>
-                <mi>log</mi>
-                <mrow>
-                  <mfrac>
-                    <mn>4</mn>
-                    <mn>5</mn>
-                  </mfrac>
-                </mrow>
-              </msub>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mfrac>
-                <mn>4</mn>
-                <mn>5</mn>
-              </mfrac>
-            </math>.
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-          <p>
-            鍥犱负<math display="0">
-              <mi>y</mi>
-              <mo>=</mo>
-              <msub>
-                <mi>log</mi>
-                <mrow>
-                  <mfrac>
-                    <mn>4</mn>
-                    <mn>5</mn>
-                  </mfrac>
-                </mrow>
-              </msub>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mi>x</mi>
-            </math>鍦紙0锛�+鈭烇級涓婃槸鍑忓嚱鏁帮紝鎵�浠�<math display="0">
-              <mi>x</mi>
-              <mo>锛�</mo>
-              <mfrac>
-                <mn>4</mn>
-                <mn>5</mn>
-              </mfrac>
-            </math>.
-          </p>
-          <p>
-            鍙堝洜涓�<i>x</i>锛�0锛屾墍浠�<math display="0">
-              <mn>0</mn>
-              <mo>锛�</mo>
-              <mi>x</mi>
-              <mo>锛�</mo>
-              <mfrac>
-                <mn>4</mn>
-                <mn>5</mn>
-              </mfrac>
-            </math>.
-          </p>
-          <p>
-            鎵�浠ヤ笉绛夊紡鐨勮В闆嗕负锛�0锛�<math display="0">
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
-                <mn>0</mn>
-                <mo>锛�</mo>
+          <div v-if="isShowAnswer49" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍥犱负<i>y</i>=log
+              4<i>x</i>鍦紙0锛�+鈭烇級涓婃槸澧炲嚱鏁帮紝鎵�浠�<i>x</i>锛�5.
+            </p>
+            <p>鍙堝洜涓�<i>x</i>锛�0锛屾墍浠�0锛�<i>x</i>锛�5.</p>
+            <p>鎵�浠ヤ笉绛夊紡鐨勮В闆嗕负锛�0锛�5锛�.</p>
+          </div>
+          <div v-if="isShowAnswer50" > 
+            <p>
+              锛�2锛�
+              <math display="0">
+                <msub>
+                  <mi>log</mi>
+                  <mrow>
+                    <mfrac>
+                      <mn>4</mn>
+                      <mn>5</mn>
+                    </mfrac>
+                  </mrow>
+                </msub>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mi>x</mi>
+                <mo>锛�</mo>
+                <mn>1</mn>
+              </math>锛屽嵆<math display="0">
+                <msub>
+                  <mi>log</mi>
+                  <mrow>
+                    <mfrac>
+                      <mn>4</mn>
+                      <mn>5</mn>
+                    </mfrac>
+                  </mrow>
+                </msub>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mi>x</mi>
+                <mo>&gt;</mo>
+                <msub>
+                  <mi>log</mi>
+                  <mrow>
+                    <mfrac>
+                      <mn>4</mn>
+                      <mn>5</mn>
+                    </mfrac>
+                  </mrow>
+                </msub>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
                 <mfrac>
                   <mn>4</mn>
                   <mn>5</mn>
                 </mfrac>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-            </math>锛�.
-          </p>
+              </math>.
+            </p>
+            <p>
+              鍥犱负<math display="0">
+                <mi>y</mi>
+                <mo>=</mo>
+                <msub>
+                  <mi>log</mi>
+                  <mrow>
+                    <mfrac>
+                      <mn>4</mn>
+                      <mn>5</mn>
+                    </mfrac>
+                  </mrow>
+                </msub>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mi>x</mi>
+              </math>鍦紙0锛�+鈭烇級涓婃槸鍑忓嚱鏁帮紝鎵�浠�<math display="0">
+                <mi>x</mi>
+                <mo>锛�</mo>
+                <mfrac>
+                  <mn>4</mn>
+                  <mn>5</mn>
+                </mfrac>
+              </math>.
+            </p>
+            <p>
+              鍙堝洜涓�<i>x</i>锛�0锛屾墍浠�<math display="0">
+                <mn>0</mn>
+                <mo>锛�</mo>
+                <mi>x</mi>
+                <mo>锛�</mo>
+                <mfrac>
+                  <mn>4</mn>
+                  <mn>5</mn>
+                </mfrac>
+              </math>.
+            </p>
+            <p>
+              鎵�浠ヤ笉绛夊紡鐨勮В闆嗕负锛�0锛�<math display="0">
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mn>0</mn>
+                  <mo>锛�</mo>
+                  <mfrac>
+                    <mn>4</mn>
+                    <mn>5</mn>
+                  </mfrac>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+              </math>锛�.
+            </p>
+          </div>
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@@ -5643,8 +6228,28 @@
             178涓囦汉锛屽叾涓煄闀囧父浣忎汉鍙�90
             199涓囦汉锛屽崰鎬讳汉鍙g殑姣斾緥锛堝父浣忎汉鍙e煄闀囧寲鐜囷級涓�63.89%锛屼笌2010骞寸浉姣旓紝鎻愰珮浜�14.21涓櫨鍒嗙偣.
           </p>
-          <p>
-            锛�1锛� 鍋囪姝ゅ悗姣忓勾閮藉鍔�700涓囦汉鍙o紝20骞村悗鎴戝浗澶ч檰浜哄彛鎬绘暟鏄灏戯紵
+          <p class="p-btn" >
+            <span>
+              锛�1锛� 鍋囪姝ゅ悗姣忓勾閮藉鍔�700涓囦汉鍙o紝20骞村悗鎴戝浗澶ч檰浜哄彛鎬绘暟鏄灏戯紵
+            </span>
+            <span class="btn-box" @click="isShowAnswer51 = !isShowAnswer51">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
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+            <span class="btn-box" @click="openDialog(thinkEight)">
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+                  transform="translate(-3761 14334.001)" />
+              </svg>
+            </span>
+          </p>
+          <p v-if="isShowAnswer51" >
+            <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍥犱负姣忓勾澧炲姞700涓囦汉鍙o紝20骞村叡澧炲姞20脳700涓�=14
+            000涓囦汉鍙o紝鍥犳20骞村悗鎴戝浗澶ч檰浜哄彛涓�155 178涓囷紙15.517 8浜匡級.
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@@ -5660,52 +6265,43 @@
             <p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p>
           </li>
           <li>
-            <p><span>143</span></p>
+            <p><span>143-144</span></p>
           </li>
         </ul>
         <div class="padding-116">
-          <p>
-            锛�2锛�
-            鍋囪姝ゅ悗姣忓勾浜哄彛鐨勫钩鍧囧闀跨巼鏄�1%锛堟瘡骞撮兘鍦ㄥ墠涓�骞村熀纭�涓婂鍔�1%锛夛紝20骞村悗鎴戝浗澶ч檰浜哄彛鎬绘暟绾︿负澶氬皯锛燂紙鍗曚綅锛氫竾锛岀粨鏋滅簿纭埌0.01锛�
+          <p class="p-btn" >
+            <span>
+              锛�2锛�
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-            杩欐槸缁忔祹绀句細涓殑鈥滅嚎鎬у闀库�濈幇璞★紝鍗虫瘡骞村鍔犻噺淇濇寔涓嶅彉锛屾瘡骞村鍔�700涓囦汉鍙o紝20骞村叡澧炲姞14
-            000涓囦汉鍙o紝鍥犳鎬诲叡浜哄彛涓�155 178涓�.
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-            杩欐槸缁忔祹绀句細涓殑鈥滄寚鏁板闀库�濈幇璞★紝鍗虫瘡骞存寜鐓т竴瀹氱殑澧為暱鐜囷紙鎴愬�嶆暟锛夊闀�.鎴戜滑棣栧厛鑰冩煡閫愬勾澧為暱鐨勬儏鍐碉紝浠庝腑鍙戠幇姣忎竴骞撮兘鏄墠涓�骞寸殑锛�1+1%锛夊�嶏紙涔熷彲閲囩敤鍚庝竴骞翠笌鍓嶄竴骞寸殑姣斿�煎彂鐜拌寰嬶級锛屽嵆鍛堟寚鏁板闀匡紝鏈�鍚庡埄鐢ㄦ寚鏁板嚱鏁扮煡璇嗚В鍐抽棶棰�.
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-          <p class="block">2020骞村勾鏈� 浜哄彛绾︿负141 178涓囷紱</p>
-          <p class="block">缁忚繃1骞� 浜哄彛绾︿负141 178锛�1+1%锛変竾锛�</p>
-          <p class="block">
-            缁忚繃2骞� 浜哄彛绾︿负141 178锛�1+1%锛夛紙1+1%锛�=141
-            178锛�1+1%锛�<sup>2</sup>涓囷紱
-          </p>
-          <p class="block">
-            缁忚繃3骞� 浜哄彛绾︿负141 178锛�1+1%锛�<sup>2</sup>锛�1+1%锛�=141
-            178锛�1+1%锛�<sup>3</sup>涓囷紱
-          </p>
-          <p class="block">鈥︹��</p>
-          <p class="block">
-            缁忚繃<i>x</i>骞� 浜哄彛绾︿负141 178锛�1+1%锛�<i><sup>x</sup></i>涓�.
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-            000涓囦汉鍙o紝鍥犳20骞村悗鎴戝浗澶ч檰浜哄彛涓�155 178涓囷紙15.517 8浜匡級.
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-          <p class="center">
-            <i>y</i>=141 178锛�1+1%锛�<i><sup>x</sup></i>.
-          </p>
-          <p>褰�<i>x</i>=20鏃讹紝<i>y</i>=141 178锛�1+1%锛�<sup>20</sup>.</p>
-          <p>鍒╃敤绉戝璁$畻鍣ㄥ彲姹傚緱<i>y</i>鈮�172 263.99涓�.</p>
-          <p>
-            鎵�浠ワ紝鍋囪姣忓勾閮藉鍔�700涓囦汉鍙o紝20骞村悗鎴戝浗澶ч檰浜哄彛涓�155
-            178涓囷紱鍋囪姣忓勾浜哄彛鐨勫钩鍧囧闀跨巼鏄�1%锛岀粡杩�20骞村悗鎴戝浗澶ч檰浜哄彛绾︿负172
-            263.99涓�.
-          </p>
+          <div v-if="isShowAnswer52" > 
+            <p>锛�2锛� 璁剧粡杩�<i>x</i>骞达紝鎴戝浗浜哄彛涓�<i>y</i>涓囷紝鐢遍鎰忓緱</p>
+            <p class="center">
+              <i>y</i>=141 178锛�1+1%锛�<i><sup>x</sup></i>.
+            </p>
+            <p>褰�<i>x</i>=20鏃讹紝<i>y</i>=141 178锛�1+1%锛�<sup>20</sup>.</p>
+            <p>鍒╃敤绉戝璁$畻鍣ㄥ彲姹傚緱<i>y</i>鈮�172 263.99涓�.</p>
+            <p>
+              鎵�浠ワ紝鍋囪姣忓勾閮藉鍔�700涓囦汉鍙o紝20骞村悗鎴戝浗澶ч檰浜哄彛涓�155
+              178涓囷紱鍋囪姣忓勾浜哄彛鐨勫钩鍧囧闀跨巼鏄�1%锛岀粡杩�20骞村悗鎴戝浗澶ч檰浜哄彛绾︿负172
+              263.99涓�.
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@@ -5736,64 +6320,89 @@
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             Pa锛屽寳鍧宠惀鍦版捣鎷�7 028 m锛屽ぇ姘斿帇寮虹害涓�4.21脳10<sup>4</sup>Pa.
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           </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span> 娴峰钩闈㈢殑娴锋嫈楂樼▼涓�0 m.灏�
-          </p>
-          <p class="center">
-            <i>x</i><sub>1</sub>=1.013脳10<sup>5</sup>锛�<i>y</i><sub>1</sub>=0锛�
-          </p>
-          <p class="center">
-            <i>x</i><sub>2</sub>=4.21脳10<sup>4</sup>锛�<i>y</i><sub>2</sub>=7
-            028锛�
-          </p>
-          <p>鍒嗗埆浠e叆鍑芥暟鍏崇郴寮忋��<i>y</i>=<i>k</i> ln <i>x</i>+<i>c</i>锛�</p>
-          <p>瑙e緱銆�<i>k</i>鈮�-8 004.203锛�<i>c</i>鈮�92 255.180.</p>
-          <p>浜庢槸锛屽ぇ姘斿帇寮轰笌娴锋嫈楂樼▼鐨勫叧绯诲紡杩戜技涓�</p>
-          <math display="block">
-            <mi>y</mi>
-            <mo>=</mo>
-            <mo>鈭�</mo>
-            <mn>8004.203</mn>
-            <mi>ln</mi>
-            <mo data-mjx-texclass="NONE">鈦�</mo>
-            <mi>x</mi>
-            <mo>+</mo>
-            <mn>92255.180</mn>
-            <mo>.</mo>
-          </math>
-          <p class="right">鈶�</p>
-          <p>锛�1锛� 褰�<i>x</i>=3.81脳10<sup>4</sup>鏃讹紝</p>
-          <p><i>y</i>=-8 004.203脳ln锛�3.81脳10<sup>4</sup>锛�+92 255.180</p>
-          <p>鈮�7 827.090.</p>
-          <p>
-            鎵�浠ワ紝褰撳ぇ姘斿帇寮轰负3.81脳10<sup>4</sup> <i>Pa</i>鏃讹紝娴锋嫈楂樼▼绾︿负7
-            827.090 m.
-          </p>
-          <p>锛�2锛� 鎶�<i>y</i>=8 844.43浠e叆鈶犲紡锛�</p>
-          <p class="center">8 844.43=-8 004.203 ln <i>x</i>+92 255.180锛�</p>
-          <p class="center">
-            ln <i>x</i>=10.421鈬�<i>x</i>=<i>e</i><sup>10.421</sup>鈮�33
-            556.974鈮�3.36脳10<sup>4</sup>.
-          </p>
-          <p>
-            鎵�浠ワ紝褰撴祴缁樹汉鍛樺湪鐧婚《杩囩▼涓祴寰楀叾鎵�鍦ㄤ綅缃殑娴锋嫈楂樼▼涓�8 844.43
-            m鏃讹紝澶ф皵鍘嬪己绾︿负3.36脳10<sup>4</sup>
-            <i>Pa</i>锛岀害涓烘捣骞抽潰澶ф皵鍘嬪己鐨�<math display="0">
-              <mfrac>
-                <mn>1</mn>
-                <mn>3</mn>
-              </mfrac>
-            </math>.
-          </p>
+          <div v-if="isShowAnswer53" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span> 娴峰钩闈㈢殑娴锋嫈楂樼▼涓�0 m.灏�
+            </p>
+            <p class="center">
+              <i>x</i><sub>1</sub>=1.013脳10<sup>5</sup>锛�<i>y</i><sub>1</sub>=0锛�
+            </p>
+            <p class="center">
+              <i>x</i><sub>2</sub>=4.21脳10<sup>4</sup>锛�<i>y</i><sub>2</sub>=7
+              028锛�
+            </p>
+            <p>鍒嗗埆浠e叆鍑芥暟鍏崇郴寮忋��<i>y</i>=<i>k</i> ln <i>x</i>+<i>c</i>锛�</p>
+            <p>瑙e緱銆�<i>k</i>鈮�-8 004.203锛�<i>c</i>鈮�92 255.180.</p>
+            <p>浜庢槸锛屽ぇ姘斿帇寮轰笌娴锋嫈楂樼▼鐨勫叧绯诲紡杩戜技涓�</p>
+            <math display="block">
+              <mi>y</mi>
+              <mo>=</mo>
+              <mo>鈭�</mo>
+              <mn>8004.203</mn>
+              <mi>ln</mi>
+              <mo data-mjx-texclass="NONE">鈦�</mo>
+              <mi>x</mi>
+              <mo>+</mo>
+              <mn>92255.180</mn>
+              <mo>.</mo>
+            </math>
+            <p class="right">鈶�</p>
+            <p>锛�1锛� 褰�<i>x</i>=3.81脳10<sup>4</sup>鏃讹紝</p>
+            <p><i>y</i>=-8 004.203脳ln锛�3.81脳10<sup>4</sup>锛�+92 255.180</p>
+            <p>鈮�7 827.090.</p>
+            <p>
+              鎵�浠ワ紝褰撳ぇ姘斿帇寮轰负3.81脳10<sup>4</sup> <i>Pa</i>鏃讹紝娴锋嫈楂樼▼绾︿负7
+              827.090 m.
+            </p>
+          </div>
+          <div v-if="isShowAnswer54" > 
+            <p>锛�2锛� 鎶�<i>y</i>=8 844.43浠e叆鈶犲紡锛�</p>
+            <p class="center">8 844.43=-8 004.203 ln <i>x</i>+92 255.180锛�</p>
+            <p class="center">
+              ln <i>x</i>=10.421鈬�<i>x</i>=<i>e</i><sup>10.421</sup>鈮�33
+              556.974鈮�3.36脳10<sup>4</sup>.
+            </p>
+            <p>
+              鎵�浠ワ紝褰撴祴缁樹汉鍛樺湪鐧婚《杩囩▼涓祴寰楀叾鎵�鍦ㄤ綅缃殑娴锋嫈楂樼▼涓�8 844.43
+              m鏃讹紝澶ф皵鍘嬪己绾︿负3.36脳10<sup>4</sup>
+              <i>Pa</i>锛岀害涓烘捣骞抽潰澶ф皵鍘嬪己鐨�<math display="0">
+                <mfrac>
+                  <mn>1</mn>
+                  <mn>3</mn>
+                </mfrac>
+              </math>.
+            </p>
+          </div>
         </div>
       </div>
+    </div>
+    <!-- 144 -->
+    <div class="page-box hidePage" page="151">
     </div>
     <!-- 145   -->
     <div class="page-box" page="152">
@@ -6204,11 +6813,68 @@
     <div class="page-box hidePage" page="158"></div>
     <!-- 152 -->
     <div class="page-box hidePage" page="159"></div>
+        <!-- 瑙i鎬濊矾寮圭獥 -->
+    <el-dialog :visible.sync="thinkingDialog" width="40%" :append-to-body="true" :show-close="false"
+      @close="closeDialog" class="thinkDialog">
+      <div slot="title" class="think-header"
+        style="padding: 0; text-align: center; color: #333;display:flex;justify-content: center;">
+        <span style=""> 鍒嗘瀽 </span>
+        <svg style="position: absolute; right:10px;cursor: pointer;" @click="thinkingDialog = false" t="1718596022986"
+          class="icon" viewBox="0 0 1024 1024" version="1.1" xmlns="http://www.w3.org/2000/svg" p-id="4252" width="20"
+          height="20" xmlns:xlink="http://www.w3.org/1999/xlink">
+          <path
+            d="M176.661601 817.172881C168.472798 825.644055 168.701706 839.149636 177.172881 847.338438 185.644056 855.527241 199.149636 855.298332 207.338438 846.827157L826.005105 206.827157C834.193907 198.355983 833.964998 184.850403 825.493824 176.661601 817.02265 168.472798 803.517069 168.701706 795.328267 177.172881L176.661601 817.172881Z"
+            fill="#979797" p-id="4253"></path>
+          <path
+            d="M795.328267 846.827157C803.517069 855.298332 817.02265 855.527241 825.493824 847.338438 833.964998 839.149636 834.193907 825.644055 826.005105 817.172881L207.338438 177.172881C199.149636 168.701706 185.644056 168.472798 177.172881 176.661601 168.701706 184.850403 168.472798 198.355983 176.661601 206.827157L795.328267 846.827157Z"
+            fill="#979797" p-id="4254"></path>
+        </svg>
+      </div>
+      <ul>
+        <li v-for="(item, index) in thinkData" :key="index">
+          <div v-if="index <= showIndex" style="display: flex">
+            <span style="position: relative">
+              <span style="position: absolute; top: 16px; left: 13px; color: #fff">{{ index + 1 }}</span>
+              <img src="../../assets/images/icon/blue-group.png" alt="" style="margin-right: 10px"
+                v-if="index < thinkOne.length - 1" />
+              <img src="../../assets/images/icon/blue.png" alt="" v-if="index == thinkOne.length - 1"
+                style="margin-right: 10px" />
+            </span>
+            <p class="txt-p" v-html="item"></p>
+          </div>
+        </li>
+      </ul>
+      <div @click="changeNext" style="
+          display: flex;
+          flex-direction: column;
+          align-items: center;
+          justify-content: center;
+        ">
+        <img src="../../assets/images/icon/mouse.png" alt="" v-if="showIndex < thinkData.length - 1" />
+        <svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" t="1710234570135"
+          class="icon" viewBox="0 0 1024 1024" version="1.1" p-id="5067" width="15" height="15">
+          <path
+            d="M2.257993 493.371555 415.470783 906.584344 512 1003.113561 608.529217 906.584344 1021.742007 493.371555 925.212789 396.842337 512 810.055127 98.787211 396.842337Z"
+            fill="#1296db" p-id="5068" />
+          <path
+            d="M2.257993 117.980154 415.470783 531.192944 512 627.722161 608.529217 531.192944 1021.742007 117.980154 925.212789 21.450937 512 434.663727 98.787211 21.450937Z"
+            fill="#1296db" p-id="5069" />
+        </svg>
+      </div>
+    </el-dialog>
   </div>
 </template>
 
 <script>
 import examinations from "@/components/examinations/index.vue";
+const handleShow = (num) => {
+  const obj = {}
+  for (let index = 0; index < num; index++) {
+    obj['isShowAnswer' + index] = false
+  }
+  return obj
+}
+const showObj = handleShow(60)
 export default {
   name: "",
   props: {
@@ -6222,11 +6888,66 @@
   },
   components: { examinations },
   data() {
-    return {};
+    return {
+      ...showObj,
+      showIndex:0,
+      thinkingDialog: false,
+      thinkData:[],
+      thinkOne:[
+        '杩愮畻鎬濊矾鏄皢鏍瑰紡杞寲涓哄垎鏁版寚鏁板箓锛岀劧鍚庡啀鍖栫畝杩愮畻.'
+      ]
+      ,
+      thinkTwo:[
+        '瑙傚療杩欎釜寮忓瓙鐨勭壒鐐癸紝姣忎竴椤归兘鏄墠闈竴椤圭殑2鍊嶏紙闄ょ1椤瑰锛夛紱',
+        '杩愮畻鎬濊矾鍙�冭檻灏嗕唬鏁板紡姣忛」涔�2鍚庡啀涓庡師寮忕浉鍑�.鏁板涓婃妸杩欑杩愮畻鏂规硶鍙綔鈥滈敊浣嶇浉鍑忊��.'
+      ],
+      thinkThree:[
+        '1.8<sup>2.5</sup>鍜�1.8<sup>3</sup>鍒嗗埆鍙互鐪嬩綔<i>y</i>=1.8<i><sup>x</sup></i>鍦�<i>x</i>=2.5鍜�<i>x</i>=3澶勭殑鍑芥暟鍊硷紝杩欐牱灏卞彲浠ュ埄鐢ㄥ嚱鏁扮殑鍗曡皟鎬ф潵姣旇緝鍑芥暟鍊肩殑澶у皬.0.9<sup>-0.2</sup>鍜�0.9<sup>-0.3</sup>鍒嗗埆鍙互鐪嬩綔<i>y</i>=0.9<i><sup>x</sup></i>鍦�<i>x</i>=-0.2鍜�<i>x</i>=-0.3澶勭殑鍑芥暟鍊硷紝鍚屾牱鍙互鍒╃敤鍑芥暟鐨勫崟璋冩�ф潵姣旇緝鍑芥暟鍊肩殑澶у皬.'
+      ],
+      thinkFour:[
+        '鍒╃敤鎬ц川鈥�1鐨勫鏁颁负0鈥濆拰鈥滃簳鏁扮殑瀵规暟涓�1鈥� 鐩存帴寰楃瓟妗堬紝涓嶅繀杞寲鎴愭寚鏁板紡.'
+      ],
+      thinkFive:[
+        '鍒╃敤瀵规暟杩愮畻鎬ц川杩涜鍖栫畝杩愮畻.'
+      ],
+      thinkSix:[
+        '棣栧厛鏍规嵁鏉′欢纭畾搴曟暟<i>a</i>锛岀劧鍚庡啀璁$畻瀵瑰簲鍑芥暟鍊�.'
+      ],
+      thinkSeven:[
+        '鑻ヤ袱涓鏁扮殑搴曟暟鐩稿悓锛屽彲鍒╃敤瀵规暟鍑芥暟鐨勫崟璋冩�х洿鎺ユ瘮杈冿紱鑻ュ簳鏁颁笉鍚岋紝鍙噰鐢ㄥ厛涓庝腑闂撮噺锛堥�氬父鏄�0鎴�1锛夎繘琛屾瘮杈冿紝鍐嶅埄鐢ㄤ笉绛夊紡浼犻�掓�у緱鍑虹粨璁�.'
+      ],
+      thinkEight:[
+        '锛�1锛夎繖鏄粡娴庣ぞ浼氫腑鐨勨�滅嚎鎬у闀库�濈幇璞★紝鍗虫瘡骞村鍔犻噺淇濇寔涓嶅彉锛屾瘡骞村鍔�700涓囦汉鍙o紝20骞村叡澧炲姞14000涓囦汉鍙o紝鍥犳鎬诲叡浜哄彛涓�155 178涓�.'
+      ],
+      thinkNine:[
+        ' 杩欐槸缁忔祹绀句細涓殑鈥滄寚鏁板闀库�濈幇璞★紝鍗虫瘡骞存寜鐓т竴瀹氱殑澧為暱鐜囷紙鎴愬�嶆暟锛夊闀�.鎴戜滑棣栧厛鑰冩煡閫愬勾澧為暱鐨勬儏鍐碉紝浠庝腑鍙戠幇姣忎竴骞撮兘鏄墠涓�骞寸殑锛�1+1%锛夊�嶏紙涔熷彲閲囩敤鍚庝竴骞翠笌鍓嶄竴骞寸殑姣斿�煎彂鐜拌寰嬶級锛屽嵆鍛堟寚鏁板闀匡紝鏈�鍚庡埄鐢ㄦ寚鏁板嚱鏁扮煡璇嗚В鍐抽棶棰�.',
+        '2020骞村勾鏈� 浜哄彛绾︿负141 178涓囷紱',
+        '缁忚繃1骞� 浜哄彛绾︿负141 178锛�1+1%锛変竾锛�',
+        '缁忚繃2骞� 浜哄彛绾︿负141 178锛�1+1%锛夛紙1+1%锛�=141   178锛�1+1%锛�<sup>2</sup>涓囷紱',
+        '缁忚繃3骞� 浜哄彛绾︿负141 178锛�1+1%锛�<sup>2</sup>锛�1+1%锛�=141   178锛�1+1%锛�<sup>3</sup>涓囷紱',
+        '缁忚繃<i>x</i>骞� 浜哄彛绾︿负141 178锛�1+1%锛�<i><sup>x</sup></i>涓�.'
+
+      ]
+    };
   },
   mounted() { },
-  methods: {},
+  methods: {
+    openDialog(queryData) {
+      this.thinkData = queryData
+      this.thinkingDialog = !this.thinkingDialog
+    },
+    closeDialog() {
+      this.showIndex = 0
+    },
+    changeNext() {
+      if (this.showIndex < this.thinkData.length - 1) this.showIndex = this.showIndex + 1
+    }
+  },
 };
 </script>
 
-<style lang="less" scoped></style>
+<style lang="less" scoped>
+li {
+  list-style: none;
+}
+</style>
diff --git a/src/books/mathBook/view/components/chapter005.vue b/src/books/mathBook/view/components/chapter005.vue
index 3132686..669c704 100644
--- a/src/books/mathBook/view/components/chapter005.vue
+++ b/src/books/mathBook/view/components/chapter005.vue
@@ -174,17 +174,38 @@
           <p>
             <span class="zt-ls"><b>渚�1</b></span>銆�鍦ㄥ钩闈㈢洿瑙掑潗鏍囩郴涓紝鍒嗗埆鐢诲嚭涓嬪垪鍚勮锛屽苟鎸囧嚭瀹冧滑鏄鍑犺薄闄愯.
           </p>
-          <p class="center">
-            <img class="img-c" alt="" src="../../assets/images/0168-1.jpg" />
+          <p class="p-btn" >
+            <span>锛�1锛� 225掳锛�</span>
+            <span class="btn-box" @click="hadleAnswer(0)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p class="img">鍥�5-4</p>
-          <p>锛�1锛� 225掳锛涳紙2锛� -300掳.</p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>锛�1锛�
-            浠�<i>x</i>杞寸殑闈炶礋鍗婅酱涓哄杈癸紝閫嗘椂閽堟柟鍚戞棆杞�225掳锛屽嵆褰㈡垚225掳瑙掞紝濡傚浘5-4锛�1锛�
-            鎵�绀�.鍥犱负225掳瑙掔殑缁堣竟鍦ㄧ涓夎薄闄愬唴锛屾墍浠�225掳瑙掓槸绗笁璞¢檺瑙�.
+          <p class="p-btn" >
+            <span>锛�2锛� -300掳.</span>
+            <span class="btn-box" @click="hadleAnswer(1)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p>
+          <div v-if="isShowAnswer0" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>锛�1锛�
+              浠�<i>x</i>杞寸殑闈炶礋鍗婅酱涓哄杈癸紝閫嗘椂閽堟柟鍚戞棆杞�225掳锛屽嵆褰㈡垚225掳瑙掞紝濡傚浘5-4锛�1锛�
+              鎵�绀�.鍥犱负225掳瑙掔殑缁堣竟鍦ㄧ涓夎薄闄愬唴锛屾墍浠�225掳瑙掓槸绗笁璞¢檺瑙�.
+            </p>
+            <p class="center">
+              <img class="img-c" alt="" src="../../assets/images/0168-1.jpg" />
+            </p>
+            <p class="img">鍥�5-4</p>
+          </div>
+          <p v-if="isShowAnswer1" >
             锛�2锛�
             浠�<i>x</i>杞寸殑闈炶礋鍗婅酱涓哄杈癸紝椤烘椂閽堟柟鍚戞棆杞�300掳锛屽嵆褰㈡垚-300掳瑙掞紝濡傚浘5-4锛�2锛�
             鎵�绀�.鍥犱负-300掳瑙掔殑缁堣竟鍦ㄧ涓�璞¢檺鍐咃紝鎵�浠�-300掳瑙掓槸绗竴璞¢檺瑙�.
@@ -256,36 +277,107 @@
           <p>
             <span class="zt-ls"><b>渚�1</b></span>銆�鍦�0掳锝�360掳鍐咃紝鎵惧嚭涓庝笅鍒楀悇瑙掔粓杈圭浉鍚岀殑瑙掞紝骞跺垎鍒垽鏂畠浠槸绗嚑璞¢檺瑙�.
           </p>
-          <p>锛�1锛� 600掳锛涳紙2锛� -230掳锛涳紙3锛� -890掳.</p>
-          <p>
+          <p class="p-btn" >
+            <span>锛�1锛� 600掳锛�</span>
+            <span class="btn-box" @click="hadleAnswer(2)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <p class="p-btn" >
+            <span>锛�2锛� -230掳锛�</span>
+            <span class="btn-box" @click="hadleAnswer(3)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <p class="p-btn" >
+            <span>锛�3锛� -890掳.</span>
+            <span class="btn-box" @click="hadleAnswer(4)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <p v-if="isShowAnswer2" >
             <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍥犱负600掳=240掳+360掳锛屾墍浠�600掳瑙掍笌240掳瑙掔粓杈圭浉鍚岋紝鏄涓夎薄闄愯.
           </p>
-          <p>
+          <p v-if="isShowAnswer3" >
             锛�2锛�
             鍥犱负-230掳=130掳-360掳锛屾墍浠�-230掳瑙掍笌130掳瑙掔粓杈圭浉鍚岋紝鏄浜岃薄闄愯.
           </p>
-          <p>
+          <p v-if="isShowAnswer4" >
             锛�3锛�
             鍥犱负-890掳=190掳-3脳360掳锛屾墍浠�-890掳瑙掍笌190掳瑙掔粓杈圭浉鍚岋紝鏄涓夎薄闄愯.
           </p>
           <p>
             <span class="zt-ls"><b>渚�2</b></span>銆�鍐欏嚭涓嬪垪瑙掔殑闆嗗悎.
           </p>
-          <p>锛�1锛� 缁堣竟鍦�<i>y</i>杞存鍗婅酱涓婄殑瑙掔殑闆嗗悎锛�</p>
-          <p>锛�2锛� 缁堣竟鍦�<i>y</i>杞磋礋鍗婅酱涓婄殑瑙掔殑闆嗗悎锛�</p>
-          <p>锛�3锛� 缁堣竟鍦�<i>y</i>杞翠笂鐨勮鐨勯泦鍚�.</p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍦�0掳锝�360掳鍐咃紝缁堣竟鍦�<i>y</i>杞存鍗婅酱涓婄殑瑙掓槸90掳瑙掞紝
+          <p class="p-btn" >
+            <span>锛�1锛� 缁堣竟鍦�<i>y</i>杞存鍗婅酱涓婄殑瑙掔殑闆嗗悎锛�</span>
+            <span class="btn-box" @click="hadleAnswer(5)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p>鎵�浠ワ紝缁堣竟鍦�<i>y</i>杞存鍗婅酱涓婄殑瑙掔殑闆嗗悎鏄�</p>
-          <p class="center">
-            <i>S</i>1={<i>尾</i>|<i>尾</i>=90掳+<i>k</i>路360掳锛�<i>k</i>鈭�<b>Z</b>}.
+          <p class="p-btn" >
+            <span>锛�2锛� 缁堣竟鍦�<i>y</i>杞磋礋鍗婅酱涓婄殑瑙掔殑闆嗗悎锛�</span>
+            <span class="btn-box" @click="hadleAnswer(6)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p>锛�2锛� 鍦�0掳锝�360掳鍐咃紝缁堣竟鍦�<i>y</i>杞磋礋鍗婅酱涓婄殑瑙掓槸270掳瑙掞紝</p>
-          <p>鎵�浠ワ紝缁堣竟鍦�<i>y</i>杞磋礋鍗婅酱涓婄殑瑙掔殑闆嗗悎鏄�</p>
-          <p class="center">
-            <i>S</i>2={<i>尾</i>|<i>尾</i>=270掳+<i>k</i>路360掳锛�<i>k</i>鈭�<b>Z</b>}.
+          <p class="p-btn" >
+            <span>锛�3锛� 缁堣竟鍦�<i>y</i>杞翠笂鐨勮鐨勯泦鍚�.</span>
+            <span class="btn-box" @click="hadleAnswer(7)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
+          <div v-if="isShowAnswer5" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍦�0掳锝�360掳鍐咃紝缁堣竟鍦�<i>y</i>杞存鍗婅酱涓婄殑瑙掓槸90掳瑙掞紝
+            </p>
+            <p>鎵�浠ワ紝缁堣竟鍦�<i>y</i>杞存鍗婅酱涓婄殑瑙掔殑闆嗗悎鏄�</p>
+            <p class="center">
+              <i>S</i>1={<i>尾</i>|<i>尾</i>=90掳+<i>k</i>路360掳锛�<i>k</i>鈭�<b>Z</b>}.
+            </p>
+          </div>
+          <div v-if="isShowAnswer6" > 
+            <p>锛�2锛� 鍦�0掳锝�360掳鍐咃紝缁堣竟鍦�<i>y</i>杞磋礋鍗婅酱涓婄殑瑙掓槸270掳瑙掞紝</p>
+            <p>鎵�浠ワ紝缁堣竟鍦�<i>y</i>杞磋礋鍗婅酱涓婄殑瑙掔殑闆嗗悎鏄�</p>
+            <p class="center">
+              <i>S</i>2={<i>尾</i>|<i>尾</i>=270掳+<i>k</i>路360掳锛�<i>k</i>鈭�<b>Z</b>}.
+            </p>
+          </div>
+          <div v-if="isShowAnswer7" > 
+            <p>锛�3锛� 缁堣竟鍦�<i>y</i>杞翠笂鐨勮鐨勯泦鍚堟槸</p>
+            <p><i>S</i>=<i>S</i><sub>1</sub>鈭�<i>S</i><sub>2</sub></p>
+            <p>
+              ={<i>尾</i>|<i>尾</i>=90掳+<i>k</i>路360掳锛�<i>k</i>鈭�<b>Z</b>}鈭獅<i>尾</i>|<i>尾</i>=270掳+<i>k</i>路360掳锛�<i>k</i>鈭�<b>Z</b>}
+            </p>
+            <p>
+              ={<i>尾</i>|<i>尾</i>=90掳+2<i>k</i>路180掳锛�<i>k</i>鈭�<b>Z</b>}鈭獅<i>尾</i>|<i>尾</i>=90掳+锛�2<i>k</i>+1锛壜�180掳锛�<i>k</i>鈭�<b>Z</b>}
+            </p>
+            <p>={<i>尾</i>|<i>尾</i>=90掳+<i>m</i>路180掳锛�<i>m</i>鈭�<b>Z</b>}.</p>
+          </div>
         </div>
       </div>
     </div>
@@ -298,15 +390,7 @@
           <li>涓婂唽</li>
         </ul>
         <div class="padding-116">
-          <p>锛�3锛� 缁堣竟鍦�<i>y</i>杞翠笂鐨勮鐨勯泦鍚堟槸</p>
-          <p><i>S</i>=<i>S</i><sub>1</sub>鈭�<i>S</i><sub>2</sub></p>
-          <p>
-            ={<i>尾</i>|<i>尾</i>=90掳+<i>k</i>路360掳锛�<i>k</i>鈭�<b>Z</b>}鈭獅<i>尾</i>|<i>尾</i>=270掳+<i>k</i>路360掳锛�<i>k</i>鈭�<b>Z</b>}
-          </p>
-          <p>
-            ={<i>尾</i>|<i>尾</i>=90掳+2<i>k</i>路180掳锛�<i>k</i>鈭�<b>Z</b>}鈭獅<i>尾</i>|<i>尾</i>=90掳+锛�2<i>k</i>+1锛壜�180掳锛�<i>k</i>鈭�<b>Z</b>}
-          </p>
-          <p>={<i>尾</i>|<i>尾</i>=90掳+<i>m</i>路180掳锛�<i>m</i>鈭�<b>Z</b>}.</p>
+
           <p class="left">
             <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
           </p>
@@ -328,7 +412,6 @@
             <p><span>161</span></p>
           </li>
         </ul>
-
         <div class="padding-116">
           <h3 id="c050">涔犻5.1<span class="fontsz2">锛烇紴锛�</span></h3>
           <div class="bj">
@@ -572,90 +655,106 @@
             <img class="img-c" alt="" src="../../assets/images/0174-6.jpg" />
           </p>
           <p class="img">鍥�5-8</p>
-          <p>
-            <span class="zt-ls"><b>渚�1</b></span>銆�鎶婁笅鍒楀悇瑙掑寲涓哄姬搴�.
+          <p class="p-btn" >
+            <span><span class="zt-ls"><b>渚�1</b></span>銆�鎶婁笅鍒楀悇瑙掑寲涓哄姬搴�.</span>
+            <span class="btn-box" @click="hadleAnswer(8)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
           <p>锛�1锛� 30掳锛涳紙2锛� -225掳锛涳紙3锛� 0掳.</p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>
-          </p>
-          <p class="left1">
-            <math display="">
-              <mo stretchy="false">锛�1锛�</mo>
-              <msup>
+          <div v-if="isShowAnswer8" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>
+            </p>
+            <p class="left1">
+              <math display="">
+                <mo stretchy="false">锛�1锛�</mo>
+                <msup>
+                  <mn>30</mn>
+                  <mrow>
+                    <mo>鈭�</mo>
+                  </mrow>
+                </msup>
+                <mo>=</mo>
                 <mn>30</mn>
-                <mrow>
-                  <mo>鈭�</mo>
-                </mrow>
-              </msup>
-              <mo>=</mo>
-              <mn>30</mn>
-              <mo>脳</mo>
-              <mfrac>
-                <mi>蟺</mi>
-                <mn>180</mn>
-              </mfrac>
-              <mo>=</mo>
-              <mfrac>
-                <mi>蟺</mi>
-                <mn>6</mn>
-              </mfrac>
-              <mo>.</mo>
-            </math>
-          </p>
-          <p class="left1">
-            <math display="">
-              <mo stretchy="false">锛�2锛�</mo>
-              <mo>鈭�</mo>
-              <msup>
-                <mn>225</mn>
-                <mrow>
-                  <mo>鈭�</mo>
-                </mrow>
-              </msup>
-              <mo>=</mo>
-              <mo>鈭�</mo>
-              <mn>225</mn>
-              <mo>脳</mo>
-              <mfrac>
-                <mi>蟺</mi>
-                <mn>180</mn>
-              </mfrac>
-              <mo>=</mo>
-              <mo>鈭�</mo>
-              <mfrac>
-                <mrow>
-                  <mn>5</mn>
+                <mo>脳</mo>
+                <mfrac>
                   <mi>蟺</mi>
-                </mrow>
-                <mn>4</mn>
-              </mfrac>
-              <mo>.</mo>
-            </math>
-          </p>
-          <p class="left1">
-            <math display="">
-              <mo stretchy="false">锛�3锛�</mo>
-              <msup>
+                  <mn>180</mn>
+                </mfrac>
+                <mo>=</mo>
+                <mfrac>
+                  <mi>蟺</mi>
+                  <mn>6</mn>
+                </mfrac>
+                <mo>.</mo>
+              </math>
+            </p>
+            <p class="left1">
+              <math display="">
+                <mo stretchy="false">锛�2锛�</mo>
+                <mo>鈭�</mo>
+                <msup>
+                  <mn>225</mn>
+                  <mrow>
+                    <mo>鈭�</mo>
+                  </mrow>
+                </msup>
+                <mo>=</mo>
+                <mo>鈭�</mo>
+                <mn>225</mn>
+                <mo>脳</mo>
+                <mfrac>
+                  <mi>蟺</mi>
+                  <mn>180</mn>
+                </mfrac>
+                <mo>=</mo>
+                <mo>鈭�</mo>
+                <mfrac>
+                  <mrow>
+                    <mn>5</mn>
+                    <mi>蟺</mi>
+                  </mrow>
+                  <mn>4</mn>
+                </mfrac>
+                <mo>.</mo>
+              </math>
+            </p>
+            <p class="left1">
+              <math display="">
+                <mo stretchy="false">锛�3锛�</mo>
+                <msup>
+                  <mn>0</mn>
+                  <mrow>
+                    <mo>鈭�</mo>
+                  </mrow>
+                </msup>
+                <mo>=</mo>
                 <mn>0</mn>
-                <mrow>
-                  <mo>鈭�</mo>
-                </mrow>
-              </msup>
-              <mo>=</mo>
-              <mn>0</mn>
-              <mo>脳</mo>
-              <mfrac>
-                <mi>蟺</mi>
-                <mn>180</mn>
-              </mfrac>
-              <mo>=</mo>
-              <mn>0</mn>
-              <mo>.</mo>
-            </math>
-          </p>
-          <p>
-            <span class="zt-ls"><b>渚�2</b></span>銆�鎶婁笅鍒楀悇瑙掑寲涓鸿搴�.
+                <mo>脳</mo>
+                <mfrac>
+                  <mi>蟺</mi>
+                  <mn>180</mn>
+                </mfrac>
+                <mo>=</mo>
+                <mn>0</mn>
+                <mo>.</mo>
+              </math>
+            </p>
+          </div>
+          <p class="p-btn" >
+            <span><span class="zt-ls"><b>渚�2</b></span>銆�鎶婁笅鍒楀悇瑙掑寲涓鸿搴�.</span>
+            <span class="btn-box" @click="hadleAnswer(9)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
           <p>
             锛�1锛�
@@ -669,71 +768,73 @@
               </mfrac>
             </math>锛涳紙2锛� 5rad锛堢粨鏋滅簿纭埌0.01锛�.
           </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>
-          </p>
-          <p class="left1">
-            <math display="">
-              <mo stretchy="false">锛�1锛�</mo>
-              <mo>鈭�</mo>
-              <mfrac>
-                <mi>蟺</mi>
-                <mn>3</mn>
-              </mfrac>
-              <mo>=</mo>
-              <mo>鈭�</mo>
-              <mfrac>
+          <div v-if="isShowAnswer9" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>
+            </p>
+            <p class="left1">
+              <math display="">
+                <mo stretchy="false">锛�1锛�</mo>
+                <mo>鈭�</mo>
+                <mfrac>
+                  <mi>蟺</mi>
+                  <mn>3</mn>
+                </mfrac>
+                <mo>=</mo>
+                <mo>鈭�</mo>
+                <mfrac>
+                  <msup>
+                    <mn>180</mn>
+                    <mrow>
+                      <mo>鈭�</mo>
+                    </mrow>
+                  </msup>
+                  <mn>3</mn>
+                </mfrac>
+                <mo>=</mo>
+                <mo>鈭�</mo>
                 <msup>
-                  <mn>180</mn>
+                  <mn>60</mn>
                   <mrow>
                     <mo>鈭�</mo>
                   </mrow>
                 </msup>
-                <mn>3</mn>
-              </mfrac>
-              <mo>=</mo>
-              <mo>鈭�</mo>
-              <msup>
-                <mn>60</mn>
+                <mo>.</mo>
+              </math>
+            </p>
+            <p class="left1">
+              <math display="">
+                <mo stretchy="false">锛�2锛�</mo>
+                <mn>5</mn>
                 <mrow>
-                  <mo>鈭�</mo>
+                  <mi mathvariant="normal">r</mi>
+                  <mi mathvariant="normal">a</mi>
+                  <mi mathvariant="normal">d</mi>
                 </mrow>
-              </msup>
-              <mo>.</mo>
-            </math>
-          </p>
-          <p class="left1">
-            <math display="">
-              <mo stretchy="false">锛�2锛�</mo>
-              <mn>5</mn>
-              <mrow>
-                <mi mathvariant="normal">r</mi>
-                <mi mathvariant="normal">a</mi>
-                <mi mathvariant="normal">d</mi>
-              </mrow>
-              <mo>=</mo>
-              <mn>5</mn>
-              <mo>脳</mo>
-              <mfrac>
+                <mo>=</mo>
+                <mn>5</mn>
+                <mo>脳</mo>
+                <mfrac>
+                  <msup>
+                    <mn>180</mn>
+                    <mrow>
+                      <mo>鈭�</mo>
+                    </mrow>
+                  </msup>
+                  <mi>蟺</mi>
+                </mfrac>
+                <mo>鈮�</mo>
                 <msup>
-                  <mn>180</mn>
+                  <mn>286.44</mn>
                   <mrow>
                     <mo>鈭�</mo>
                   </mrow>
                 </msup>
-                <mi>蟺</mi>
-              </mfrac>
-              <mo>鈮�</mo>
-              <msup>
-                <mn>286.44</mn>
-                <mrow>
-                  <mo>鈭�</mo>
-                </mrow>
-              </msup>
-              <mo>.</mo>
-            </math>
-          </p>
-          <div class="bk">
+                <mo>.</mo>
+              </math>
+            </p>
+          </div>
+          <div class="bk mt-60">
             <div class="bj1">
               <p class="left">
                 <img class="img-gn1" alt="" src="../../assets/images/tbts.jpg" />
@@ -758,35 +859,59 @@
           <p>
             <span class="zt-ls"><b>渚�3</b></span>銆�鍒╃敤绉戝璁$畻鍣紝鎶婁笅鍒楀悇瑙掕繘琛屽姬搴︿笌瑙掑害鐨勪簰鍖�.锛堢粨鏋滅簿纭埌0.01锛�
           </p>
-          <p>锛�1锛� -5.6锛涳紙2锛� 154掳13鈥�.</p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>锛�1锛�
-            鍏堝皢绉戝璁$畻鍣ㄧ殑绮剧‘搴﹁缃负0.01锛屽啀灏嗙瀛﹁绠楀櫒璁剧疆涓鸿搴﹁绠楁ā寮忥紝绉戝璁$畻鍣ㄢ厾鎸�<img class="inline" alt=""
-              src="../../assets/images/0175-1.jpg" />锛岀瀛﹁绠楀櫒鈪℃寜<img class="inline" alt=""
-              src="../../assets/images/0175-2.jpg" />.涔嬪悗渚濇鎸変笅鍒楀悇閿�.
+          <p class="p-btn" >
+            <span>锛�1锛� -5.6锛�</span>
+            <span class="btn-box" @click="hadleAnswer(10)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p class="center">
-            <img class="img-c" alt="" src="../../assets/images/0175-3.jpg" />
+          <div v-if="isShowAnswer10" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>锛�1锛�
+              鍏堝皢绉戝璁$畻鍣ㄧ殑绮剧‘搴﹁缃负0.01锛屽啀灏嗙瀛﹁绠楀櫒璁剧疆涓鸿搴﹁绠楁ā寮忥紝绉戝璁$畻鍣ㄢ厾鎸�<img class="inline" alt=""
+                src="../../assets/images/0175-1.jpg" />锛岀瀛﹁绠楀櫒鈪℃寜<img class="inline" alt=""
+                src="../../assets/images/0175-2.jpg" />.涔嬪悗渚濇鎸変笅鍒楀悇閿�.
+            </p>
+            <p class="center">
+              <img class="img-c" alt="" src="../../assets/images/0175-3.jpg" />
+            </p>
+            <p>缁撴灉鏄剧ず锛�</p>
+            <p class="center">
+              <img class="img-c" alt="" src="../../assets/images/0175-4.jpg" />
+            </p>
+            <p>鎵�浠ャ��-5.6 <i>rad</i> 鈮�-320.86掳.</p>
+          </div>
+          <p class="p-btn" >
+            <span>锛�2锛� 154掳13鈥�.</span>
+            <span class="btn-box" @click="hadleAnswer(11)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p>缁撴灉鏄剧ず锛�</p>
-          <p class="center">
-            <img class="img-c" alt="" src="../../assets/images/0175-4.jpg" />
-          </p>
-          <p>鎵�浠ャ��-5.6 <i>rad</i> 鈮�-320.86掳.</p>
-          <p>
-            锛�2锛�
-            鍏堝皢绉戝璁$畻鍣ㄧ殑绮剧‘搴﹁缃负0.01锛屽啀灏嗙瀛﹁绠楀櫒璁剧疆涓哄姬搴﹁绠楁ā寮忥紝绉戝璁$畻鍣ㄢ厾鎸�<img class="inline" alt=""
-              src="../../assets/images/0175-5.jpg" />锛岀瀛﹁绠楀櫒鈪℃寜<img class="inline" alt=""
-              src="../../assets/images/0175-6.jpg" />.涔嬪悗渚濇鎸変笅鍒楀悇閿�.
-          </p>
-          <p class="center">
-            <img class="img-c" alt="" src="../../assets/images/0175-7.jpg" />
-          </p>
-          <p>缁撴灉鏄剧ず锛�</p>
-          <p class="center">
-            <img class="img-c" alt="" src="../../assets/images/0175-8.jpg" />
-          </p>
-          <p>鎵�浠ャ��154掳13鈥测増2.69 rad.</p>
+          <div v-if="isShowAnswer11" > 
+            <p>
+              锛�2锛�
+              鍏堝皢绉戝璁$畻鍣ㄧ殑绮剧‘搴﹁缃负0.01锛屽啀灏嗙瀛﹁绠楀櫒璁剧疆涓哄姬搴﹁绠楁ā寮忥紝绉戝璁$畻鍣ㄢ厾鎸�<img class="inline" alt=""
+                src="../../assets/images/0175-5.jpg" />锛岀瀛﹁绠楀櫒鈪℃寜<img class="inline" alt=""
+                src="../../assets/images/0175-6.jpg" />.涔嬪悗渚濇鎸変笅鍒楀悇閿�.
+            </p>
+            <p class="center">
+              <img class="img-c" alt="" src="../../assets/images/0175-7.jpg" />
+            </p>
+            <p>缁撴灉鏄剧ず锛�</p>
+            <p class="center">
+              <img class="img-c" alt="" src="../../assets/images/0175-8.jpg" />
+            </p>
+            <p>鎵�浠ャ��154掳13鈥测増2.69 rad.</p>
+          </div>
+          <calculator />
           <p class="left">
             <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
           </p>
@@ -992,78 +1117,89 @@
           <p class="center">
             <img class="img-d" alt="" src="../../assets/images/0176-11.jpg" />
           </p>
-          <p>
-            <span class="zt-ls"><b>渚�1</b></span>銆�鎴嚦2021骞�4鏈堬紝涓浗楂橀�熷叕璺�婚噷绋嬬害涓�16涓囧崈绫筹紝浣嶅眳鍏ㄧ悆绗竴.鏌愰珮閫熷叕璺浆寮涓轰竴寮у舰楂樻灦妗ワ紝娴嬪緱姝ゅ鍏矾涓嚎鐨勬�婚暱涓�1
-            200 m锛岃寮у舰楂樻灦妗ユ墍瀵瑰簲鐨勫渾蹇冭涓�<math display="0">
-              <mfrac>
-                <mrow>
-                  <mn>3</mn>
-                  <mi>蟺</mi>
-                </mrow>
-                <mn>5</mn>
-              </mfrac>
-            </math>锛屾眰璇ュ姬褰㈤珮鏋舵ˉ鐨勮浆寮崐寰勶紙缁撴灉绮剧‘鍒�1 m锛�.
+          <p class="p-btn" >
+            <span>
+              <span class="zt-ls"><b>渚�1</b></span>銆�鎴嚦2021骞�4鏈堬紝涓浗楂橀�熷叕璺�婚噷绋嬬害涓�16涓囧崈绫筹紝浣嶅眳鍏ㄧ悆绗竴.鏌愰珮閫熷叕璺浆寮涓轰竴寮у舰楂樻灦妗ワ紝娴嬪緱姝ゅ鍏矾涓嚎鐨勬�婚暱涓�1
+              200 m锛岃寮у舰楂樻灦妗ユ墍瀵瑰簲鐨勫渾蹇冭涓�<math display="0">
+                <mfrac>
+                  <mrow>
+                    <mn>3</mn>
+                    <mi>蟺</mi>
+                  </mrow>
+                  <mn>5</mn>
+                </mfrac>
+              </math>锛屾眰璇ュ姬褰㈤珮鏋舵ˉ鐨勮浆寮崐寰勶紙缁撴灉绮剧‘鍒�1 m锛�.
+            </span>
+            <span class="btn-box" @click="hadleAnswer(12)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span> 鐢遍鎰忓彲鐭ワ紝<i>l</i>=1
-            200锛�<math display="0">
-              <mi>伪</mi>
+          <div v-if="isShowAnswer12" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span> 鐢遍鎰忓彲鐭ワ紝<i>l</i>=1
+              200锛�<math display="0">
+                <mi>伪</mi>
+                <mo>=</mo>
+                <mfrac>
+                  <mrow>
+                    <mn>3</mn>
+                    <mi>蟺</mi>
+                  </mrow>
+                  <mn>5</mn>
+                </mfrac>
+              </math>锛岀敱<i>l</i>=<i>伪r</i>鍙緱
+            </p>
+            <math display="block">
+              <mi>r</mi>
+              <mo>=</mo>
+              <mfrac>
+                <mi>l</mi>
+                <mi>伪</mi>
+              </mfrac>
+              <mo>=</mo>
+              <mfrac>
+                <mn>1200</mn>
+                <mfrac>
+                  <mrow>
+                    <mn>3</mn>
+                    <mi>蟺</mi>
+                  </mrow>
+                  <mn>5</mn>
+                </mfrac>
+              </mfrac>
               <mo>=</mo>
               <mfrac>
                 <mrow>
-                  <mn>3</mn>
-                  <mi>蟺</mi>
+                  <mn>1200</mn>
+                  <mo>脳</mo>
+                  <mn>5</mn>
                 </mrow>
-                <mn>5</mn>
-              </mfrac>
-            </math>锛岀敱<i>l</i>=<i>伪r</i>鍙緱
-          </p>
-          <math display="block">
-            <mi>r</mi>
-            <mo>=</mo>
-            <mfrac>
-              <mi>l</mi>
-              <mi>伪</mi>
-            </mfrac>
-            <mo>=</mo>
-            <mfrac>
-              <mn>1200</mn>
-              <mfrac>
                 <mrow>
                   <mn>3</mn>
                   <mi>蟺</mi>
                 </mrow>
-                <mn>5</mn>
               </mfrac>
-            </mfrac>
-            <mo>=</mo>
-            <mfrac>
-              <mrow>
-                <mn>1200</mn>
-                <mo>脳</mo>
-                <mn>5</mn>
-              </mrow>
-              <mrow>
-                <mn>3</mn>
+              <mo>=</mo>
+              <mfrac>
+                <mn>2000</mn>
                 <mi>蟺</mi>
+              </mfrac>
+              <mo>鈮�</mo>
+              <mn>645</mn>
+              <mo stretchy="false">(</mo>
+              <mrow>
+                <mtext>&nbsp;</mtext>
+                <mi mathvariant="normal">m</mi>
               </mrow>
-            </mfrac>
-            <mo>=</mo>
-            <mfrac>
-              <mn>2000</mn>
-              <mi>蟺</mi>
-            </mfrac>
-            <mo>鈮�</mo>
-            <mn>645</mn>
-            <mo stretchy="false">(</mo>
-            <mrow>
-              <mtext>&nbsp;</mtext>
-              <mi mathvariant="normal">m</mi>
-            </mrow>
-            <mo stretchy="false">)</mo>
-            <mo>.</mo>
-          </math>
-          <p>鎵�浠ワ紝璇ュ姬褰㈤珮鏋舵ˉ鐨勮浆寮崐寰勭害涓�645 m.</p>
+              <mo stretchy="false">)</mo>
+              <mo>.</mo>
+            </math>
+            <p>鎵�浠ワ紝璇ュ姬褰㈤珮鏋舵ˉ鐨勮浆寮崐寰勭害涓�645 m.</p>
+          </div>
         </div>
       </div>
     </div>
@@ -1080,99 +1216,110 @@
             <img class="img-c" alt="" src="../../assets/images/0177-1.jpg" />
           </p>
           <p class="img">鍥�5-10</p>
-          <p>
-            <span class="zt-ls"><b>渚�2</b></span>銆�濡傚浘5-10鎵�绀猴紝瑕佸湪涓�鍧楀簾閾佺毊涓婂壀鍑轰竴涓墖褰紝鐢ㄤ簬鍒朵綔涓�涓渾閿ョ瓛锛岃姹傝繖涓墖褰㈢殑鍦嗗績瑙掍负60掳锛屽崐寰勪负90
-            cm .璇锋眰鍑鸿繖涓墖褰㈢殑寮ч暱涓庨潰绉�.锛堢粨鏋滃垎鍒簿纭埌0.01 cm鍜�0.01
-            cm<sup>2</sup>锛�
+          <p class="p-btn" >
+            <span>
+              <span class="zt-ls"><b>渚�2</b></span>銆�濡傚浘5-10鎵�绀猴紝瑕佸湪涓�鍧楀簾閾佺毊涓婂壀鍑轰竴涓墖褰紝鐢ㄤ簬鍒朵綔涓�涓渾閿ョ瓛锛岃姹傝繖涓墖褰㈢殑鍦嗗績瑙掍负60掳锛屽崐寰勪负90
+              cm .璇锋眰鍑鸿繖涓墖褰㈢殑寮ч暱涓庨潰绉�.锛堢粨鏋滃垎鍒簿纭埌0.01 cm鍜�0.01
+              cm<sup>2</sup>锛�
+            </span>
+            <span class="btn-box" @click="hadleAnswer(13)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span> 鐢变簬<math display="0">
-              <msup>
-                <mn>60</mn>
-                <mrow>
-                  <mo>鈭�</mo>
-                </mrow>
-              </msup>
-              <mo>=</mo>
-              <mfrac>
-                <mi>蟺</mi>
-                <mn>3</mn>
-              </mfrac>
-            </math>锛� 鎵�浠�
-          </p>
-          <math display="block">
-            <mtable columnalign="left" columnspacing="1em" rowspacing="4pt">
-              <mtr>
-                <mtd>
-                  <mi>l</mi>
-                  <mo>=</mo>
-                  <mi>伪</mi>
-                  <mi>r</mi>
-                  <mo>=</mo>
-                  <mfrac>
-                    <mi>蟺</mi>
-                    <mn>3</mn>
-                  </mfrac>
-                  <mo>脳</mo>
-                  <mn>90</mn>
-                  <mo>=</mo>
-                  <mn>30</mn>
-                  <mi>蟺</mi>
-                  <mo>鈮�</mo>
-                  <mn>94.26</mn>
-                  <mo stretchy="false">(</mo>
+          <div v-if="isShowAnswer13" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span> 鐢变簬<math display="0">
+                <msup>
+                  <mn>60</mn>
                   <mrow>
-                    <mtext>&nbsp;</mtext>
-                    <mi mathvariant="normal">c</mi>
-                    <mi mathvariant="normal">m</mi>
+                    <mo>鈭�</mo>
                   </mrow>
-                  <mo stretchy="false">)</mo>
-                </mtd>
-              </mtr>
-              <mtr>
-                <mtd>
-                  <mi>S</mi>
-                  <mo>=</mo>
-                  <mfrac>
-                    <mn>1</mn>
-                    <mn>2</mn>
-                  </mfrac>
-                  <mi>r</mi>
-                  <mi>l</mi>
-                  <mo>=</mo>
-                  <mfrac>
-                    <mn>1</mn>
-                    <mn>2</mn>
-                  </mfrac>
-                  <mo>脳</mo>
-                  <mn>90</mn>
-                  <mo>脳</mo>
-                  <mn>30</mn>
+                </msup>
+                <mo>=</mo>
+                <mfrac>
                   <mi>蟺</mi>
-                  <mo>鈮�</mo>
-                  <mn>4241.70</mn>
-                  <mrow data-mjx-texclass="INNER">
-                    <mo data-mjx-texclass="OPEN">(</mo>
-                    <msup>
-                      <mrow>
-                        <mtext>&nbsp;</mtext>
-                        <mi mathvariant="normal">c</mi>
-                        <mi mathvariant="normal">m</mi>
-                      </mrow>
-                      <mrow>
-                        <mn>2</mn>
-                      </mrow>
-                    </msup>
-                    <mo data-mjx-texclass="CLOSE">)</mo>
-                  </mrow>
-                  <mo>.</mo>
-                </mtd>
-              </mtr>
-            </mtable>
-          </math>
-          <p>
-            鎵�浠ワ紝杩欎釜鎵囧舰鐨勫姬闀跨害涓�94.26 cm锛岄潰绉害涓�4 241.70 cm<sup>2</sup>.
-          </p>
+                  <mn>3</mn>
+                </mfrac>
+              </math>锛� 鎵�浠�
+            </p>
+            <math display="block">
+              <mtable columnalign="left" columnspacing="1em" rowspacing="4pt">
+                <mtr>
+                  <mtd>
+                    <mi>l</mi>
+                    <mo>=</mo>
+                    <mi>伪</mi>
+                    <mi>r</mi>
+                    <mo>=</mo>
+                    <mfrac>
+                      <mi>蟺</mi>
+                      <mn>3</mn>
+                    </mfrac>
+                    <mo>脳</mo>
+                    <mn>90</mn>
+                    <mo>=</mo>
+                    <mn>30</mn>
+                    <mi>蟺</mi>
+                    <mo>鈮�</mo>
+                    <mn>94.26</mn>
+                    <mo stretchy="false">(</mo>
+                    <mrow>
+                      <mtext>&nbsp;</mtext>
+                      <mi mathvariant="normal">c</mi>
+                      <mi mathvariant="normal">m</mi>
+                    </mrow>
+                    <mo stretchy="false">)</mo>
+                  </mtd>
+                </mtr>
+                <mtr>
+                  <mtd>
+                    <mi>S</mi>
+                    <mo>=</mo>
+                    <mfrac>
+                      <mn>1</mn>
+                      <mn>2</mn>
+                    </mfrac>
+                    <mi>r</mi>
+                    <mi>l</mi>
+                    <mo>=</mo>
+                    <mfrac>
+                      <mn>1</mn>
+                      <mn>2</mn>
+                    </mfrac>
+                    <mo>脳</mo>
+                    <mn>90</mn>
+                    <mo>脳</mo>
+                    <mn>30</mn>
+                    <mi>蟺</mi>
+                    <mo>鈮�</mo>
+                    <mn>4241.70</mn>
+                    <mrow data-mjx-texclass="INNER">
+                      <mo data-mjx-texclass="OPEN">(</mo>
+                      <msup>
+                        <mrow>
+                          <mtext>&nbsp;</mtext>
+                          <mi mathvariant="normal">c</mi>
+                          <mi mathvariant="normal">m</mi>
+                        </mrow>
+                        <mrow>
+                          <mn>2</mn>
+                        </mrow>
+                      </msup>
+                      <mo data-mjx-texclass="CLOSE">)</mo>
+                    </mrow>
+                    <mo>.</mo>
+                  </mtd>
+                </mtr>
+              </mtable>
+            </math>
+            <p>
+              鎵�浠ワ紝杩欎釜鎵囧舰鐨勫姬闀跨害涓�94.26 cm锛岄潰绉害涓�4 241.70 cm<sup>2</sup>.
+            </p>
+          </div>
           <p class="left">
             <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
           </p>
@@ -1509,7 +1656,6 @@
         </div>
       </div>
     </div>
-
     <!-- 169 -->
     <div class="page-box" page="176">
       <div v-if="showPageList.indexOf(176) > -1">
@@ -1522,105 +1668,116 @@
           </li>
         </ul>
         <div class="padding-116">
-          <p>
-            <span class="zt-ls"><b>渚�1</b></span>銆�濡傚浘5-14鎵�绀猴紝宸茬煡<i>伪</i>鐨勭粓杈圭粡杩囩偣 <i>P</i>锛�3锛�-4锛夛紝
-            姹俿in<i>伪</i>锛宑os<i>伪</i>锛宼an<i>伪</i>鐨勫��.
+          <p class="p-btn" >
+            <span>
+              <span class="zt-ls"><b>渚�1</b></span>銆�濡傚浘5-14鎵�绀猴紝宸茬煡<i>伪</i>鐨勭粓杈圭粡杩囩偣 <i>P</i>锛�3锛�-4锛夛紝
+              姹俿in<i>伪</i>锛宑os<i>伪</i>锛宼an<i>伪</i>鐨勫��.
+            </span>
+            <span class="btn-box" @click="hadleAnswer(14)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
           <p class="center">
             <img class="img-c" alt="" src="../../assets/images/0180-3.jpg" />
           </p>
           <p class="img">鍥�5-14</p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>
-            鐢卞凡鐭ユ湁<i>x</i>=3锛�<i>y</i>=-4锛�
-          </p>
-          <p>鍒�</p>
-          <math display="block">
-            <mi>r</mi>
-            <mo>=</mo>
-            <msqrt>
-              <msup>
-                <mn>3</mn>
-                <mrow>
-                  <mn>2</mn>
-                </mrow>
-              </msup>
-              <mo>+</mo>
-              <mo stretchy="false">(</mo>
-              <mo>鈭�</mo>
-              <mn>4</mn>
-              <msup>
-                <mo stretchy="false">)</mo>
-                <mrow>
-                  <mn>2</mn>
-                </mrow>
-              </msup>
-            </msqrt>
-            <mo>=</mo>
-            <mn>5</mn>
-            <mo>.</mo>
-          </math>
-          <p>浜庢槸</p>
-          <math display="block">
-            <mtable columnalign="left" columnspacing="1em" rowspacing="4pt">
-              <mtr>
-                <mtd>
-                  <mi>sin</mi>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mi>伪</mi>
-                  <mo>=</mo>
-                  <mfrac>
-                    <mi>y</mi>
-                    <mi>r</mi>
-                  </mfrac>
-                  <mo>=</mo>
-                  <mo>鈭�</mo>
-                  <mfrac>
-                    <mn>4</mn>
-                    <mn>5</mn>
-                  </mfrac>
-                  <mo>,</mo>
-                </mtd>
-              </mtr>
-              <mtr>
-                <mtd>
-                  <mi>cos</mi>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mi>伪</mi>
-                  <mo>=</mo>
-                  <mfrac>
-                    <mi>x</mi>
-                    <mi>r</mi>
-                  </mfrac>
-                  <mo>=</mo>
-                  <mfrac>
-                    <mn>3</mn>
-                    <mn>5</mn>
-                  </mfrac>
-                  <mo>,</mo>
-                </mtd>
-              </mtr>
-              <mtr>
-                <mtd>
-                  <mi>tan</mi>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mi>伪</mi>
-                  <mo>=</mo>
-                  <mfrac>
-                    <mi>y</mi>
-                    <mi>x</mi>
-                  </mfrac>
-                  <mo>=</mo>
-                  <mo>鈭�</mo>
-                  <mfrac>
-                    <mn>4</mn>
-                    <mn>3</mn>
-                  </mfrac>
-                  <mo>.</mo>
-                </mtd>
-              </mtr>
-            </mtable>
-          </math>
+          <div v-if="isShowAnswer36" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>
+              鐢卞凡鐭ユ湁<i>x</i>=3锛�<i>y</i>=-4锛�
+            </p>
+            <p>鍒�</p>
+            <math display="block">
+              <mi>r</mi>
+              <mo>=</mo>
+              <msqrt>
+                <msup>
+                  <mn>3</mn>
+                  <mrow>
+                    <mn>2</mn>
+                  </mrow>
+                </msup>
+                <mo>+</mo>
+                <mo stretchy="false">(</mo>
+                <mo>鈭�</mo>
+                <mn>4</mn>
+                <msup>
+                  <mo stretchy="false">)</mo>
+                  <mrow>
+                    <mn>2</mn>
+                  </mrow>
+                </msup>
+              </msqrt>
+              <mo>=</mo>
+              <mn>5</mn>
+              <mo>.</mo>
+            </math>
+            <p>浜庢槸</p>
+            <math display="block">
+              <mtable columnalign="left" columnspacing="1em" rowspacing="4pt">
+                <mtr>
+                  <mtd>
+                    <mi>sin</mi>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mi>伪</mi>
+                    <mo>=</mo>
+                    <mfrac>
+                      <mi>y</mi>
+                      <mi>r</mi>
+                    </mfrac>
+                    <mo>=</mo>
+                    <mo>鈭�</mo>
+                    <mfrac>
+                      <mn>4</mn>
+                      <mn>5</mn>
+                    </mfrac>
+                    <mo>,</mo>
+                  </mtd>
+                </mtr>
+                <mtr>
+                  <mtd>
+                    <mi>cos</mi>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mi>伪</mi>
+                    <mo>=</mo>
+                    <mfrac>
+                      <mi>x</mi>
+                      <mi>r</mi>
+                    </mfrac>
+                    <mo>=</mo>
+                    <mfrac>
+                      <mn>3</mn>
+                      <mn>5</mn>
+                    </mfrac>
+                    <mo>,</mo>
+                  </mtd>
+                </mtr>
+                <mtr>
+                  <mtd>
+                    <mi>tan</mi>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mi>伪</mi>
+                    <mo>=</mo>
+                    <mfrac>
+                      <mi>y</mi>
+                      <mi>x</mi>
+                    </mfrac>
+                    <mo>=</mo>
+                    <mo>鈭�</mo>
+                    <mfrac>
+                      <mn>4</mn>
+                      <mn>3</mn>
+                    </mfrac>
+                    <mo>.</mo>
+                  </mtd>
+                </mtr>
+              </mtable>
+            </math>
+          </div>
           <p class="left">
             <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
           </p>
@@ -1650,7 +1807,6 @@
         </div>
       </div>
     </div>
-
     <!-- 170 -->
     <div class="page-box" page="177">
       <div v-if="showPageList.indexOf(177) > -1">
@@ -1754,9 +1910,114 @@
           <p>
             <span class="zt-ls"><b>渚�2</b></span>銆�纭畾涓嬪垪鍚勪笁瑙掑嚱鏁板�肩殑绗﹀彿.
           </p>
-          <p>
-            锛�1锛� sin锛�-210掳锛夛紱锛�2锛� tan760掳锛涳紙3锛�
-            <math display="0">
+          <p class="p-btn" >
+            <span>锛�1锛� sin锛�-210掳锛夛紱</span>
+            <span class="btn-box" @click="hadleAnswer(15)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <p class="p-btn" >
+            <span>锛�2锛� tan760掳锛�</span>
+            <span class="btn-box" @click="hadleAnswer(16)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <p class="p-btn" >
+            <span>
+              锛�3锛�
+              <math display="0">
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mfrac>
+                  <mrow>
+                    <mn>17</mn>
+                    <mi>蟺</mi>
+                  </mrow>
+                  <mn>12</mn>
+                </mfrac>
+              </math>.
+            </span>
+            <span class="btn-box" @click="hadleAnswer(17)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <div v-if="isShowAnswer15" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍥犱负-210掳鏄浜岃薄闄愯锛屾墍浠�
+            </p>
+            <p class="center">sin锛�-210掳锛夛紴0.</p>
+          </div>
+          <div v-if="isShowAnswer16" > 
+            <p>
+            锛�2锛�
+             鍥犱负760掳=40掳+2脳360掳锛屽彲鐭�760掳瑙掍笌40掳瑙掔殑缁堣竟鐩稿悓锛屾槸绗竴璞¢檺瑙掞紝鎵�浠�
+            </p>
+            <p class="center">tan 760掳锛�0.</p>
+          </div>
+          <div v-if="isShowAnswer17" > 
+            <p>
+              锛�3锛� 鐢�<math display="0">
+                <mfrac>
+                  <mrow>
+                    <mn>17</mn>
+                    <mi>蟺</mi>
+                  </mrow>
+                  <mn>12</mn>
+                </mfrac>
+                <mo>=</mo>
+                <mi>蟺</mi>
+                <mo>+</mo>
+                <mfrac>
+                  <mn>5</mn>
+                  <mn>12</mn>
+                </mfrac>
+                <mi>蟺</mi>
+              </math>锛屽彲鐪嬪嚭<math display="0">
+                <mi>蟺</mi>
+                <mo>&lt;</mo>
+                <mi>蟺</mi>
+                <mo>+</mo>
+                <mfrac>
+                  <mrow>
+                    <mn>5</mn>
+                    <mi>蟺</mi>
+                  </mrow>
+                  <mn>12</mn>
+                </mfrac>
+                <mo>&lt;</mo>
+                <mi>蟺</mi>
+                <mo>+</mo>
+                <mfrac>
+                  <mrow>
+                    <mn>6</mn>
+                    <mi>蟺</mi>
+                  </mrow>
+                  <mn>12</mn>
+                </mfrac>
+                <mo>=</mo>
+                <mfrac>
+                  <mrow>
+                    <mn>3</mn>
+                    <mi>蟺</mi>
+                  </mrow>
+                  <mn>2</mn>
+                </mfrac>
+              </math>锛屾槸绗笁璞¢檺瑙掞紝
+            </p>
+            <p>鎵�浠�</p>
+            <math display="block">
               <mi>cos</mi>
               <mo data-mjx-texclass="NONE">鈦�</mo>
               <mfrac>
@@ -1766,84 +2027,23 @@
                 </mrow>
                 <mn>12</mn>
               </mfrac>
-            </math>.
-          </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍥犱负-210掳鏄浜岃薄闄愯锛屾墍浠�
-          </p>
-          <p class="center">sin锛�-210掳锛夛紴0.</p>
-          <p>
-            锛�2锛�
-            鍥犱负760掳=40掳+2脳360掳锛屽彲鐭�760掳瑙掍笌40掳瑙掔殑缁堣竟鐩稿悓锛屾槸绗竴璞¢檺瑙掞紝鎵�浠�
-          </p>
-          <p class="center">tan 760掳锛�0.</p>
-          <p>
-            锛�3锛� 鐢�<math display="0">
-              <mfrac>
-                <mrow>
-                  <mn>17</mn>
-                  <mi>蟺</mi>
-                </mrow>
-                <mn>12</mn>
-              </mfrac>
-              <mo>=</mo>
-              <mi>蟺</mi>
-              <mo>+</mo>
-              <mfrac>
-                <mn>5</mn>
-                <mn>12</mn>
-              </mfrac>
-              <mi>蟺</mi>
-            </math>锛屽彲鐪嬪嚭<math display="0">
-              <mi>蟺</mi>
               <mo>&lt;</mo>
-              <mi>蟺</mi>
-              <mo>+</mo>
-              <mfrac>
-                <mrow>
-                  <mn>5</mn>
-                  <mi>蟺</mi>
-                </mrow>
-                <mn>12</mn>
-              </mfrac>
-              <mo>&lt;</mo>
-              <mi>蟺</mi>
-              <mo>+</mo>
-              <mfrac>
-                <mrow>
-                  <mn>6</mn>
-                  <mi>蟺</mi>
-                </mrow>
-                <mn>12</mn>
-              </mfrac>
-              <mo>=</mo>
-              <mfrac>
-                <mrow>
-                  <mn>3</mn>
-                  <mi>蟺</mi>
-                </mrow>
-                <mn>2</mn>
-              </mfrac>
-            </math>锛屾槸绗笁璞¢檺瑙掞紝
+              <mn>0</mn>
+            </math>
+          </div>
+          <p class="p-btn" >
+            <span>
+              <span class="zt-ls"><b>渚�3</b></span>銆�鏍规嵁sin <i>伪</i>锛�0锛屼笖cos <i>伪</i>锛�0锛岀‘瀹�<i>伪</i>鏄鍑犺薄闄愯.
+            </span>
+            <span class="btn-box" @click="hadleAnswer(18)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p>鎵�浠�</p>
-          <math display="block">
-            <mi>cos</mi>
-            <mo data-mjx-texclass="NONE">鈦�</mo>
-            <mfrac>
-              <mrow>
-                <mn>17</mn>
-                <mi>蟺</mi>
-              </mrow>
-              <mn>12</mn>
-            </mfrac>
-            <mo>&lt;</mo>
-            <mn>0</mn>
-          </math>
-          <p>
-            <span class="zt-ls"><b>渚�3</b></span>銆�鏍规嵁sin <i>伪</i>锛�0锛屼笖cos <i>伪</i>锛�0锛岀‘瀹�<i>伪</i>鏄鍑犺薄闄愯.
-          </p>
-          <p>
+          <p v-if="isShowAnswer18">
             <span class="zt-ls"><b>瑙�</b></span> 鍥犱负sin
             <i>伪</i>锛�0锛屾墍浠�<i>伪</i>鐨勭粓杈瑰湪绗竴鎴栫浜岃薄闄愭垨<i>y</i>杞寸殑姝e崐杞翠笂锛涘張鍥犱负cos<i>伪</i>锛�0锛屾墍浠�<i>伪</i>鐨勭粓杈瑰湪绗簩鎴栫涓夎薄闄愭垨<i>x</i>杞寸殑璐熷崐杞翠笂.鍥犳锛�<i>伪</i>涓虹浜岃薄闄愯.
           </p>
@@ -1960,128 +2160,153 @@
             <p>绗簲鍗曞厓 涓夎鍑芥暟</p>
           </li>
           <li>
-            <p><span>173</span></p>
+            <p><span>173-174</span></p>
           </li>
         </ul>
         <div class="padding-116">
           <p>
-            <span class="zt-ls"><b>渚�4</b></span>銆�姹�5sin180掳-4sin90掳+2tan180掳-7sin270掳鐨勫��.
           </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span> 5sin 180掳-4sin 90掳+2 tan
-            180掳-7sin 270掳
+          <p class="p-btn" >
+            <span>
+              <span class="zt-ls"><b>渚�4</b></span>銆�姹�5sin180掳-4sin90掳+2tan180掳-7sin270掳鐨勫��.
+            </span>
+            <span class="btn-box" @click="hadleAnswer(19)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p>=5脳0-4脳1+2脳0-7脳锛�-1锛�</p>
-          <p>=3.</p>
-          <p>
-            <span class="zt-ls"><b>渚�5</b></span>銆�姹�<math display="0">
-              <mi>sin</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mfrac>
-                <mi>蟺</mi>
-                <mn>6</mn>
-              </mfrac>
-              <mo>鈭�</mo>
-              <mi>cos</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mfrac>
-                <mi>蟺</mi>
-                <mn>3</mn>
-              </mfrac>
-              <mo>+</mo>
-              <mi>cos</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mi>蟺</mi>
-              <mo>鈭�</mo>
-              <mi>sin</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mfrac>
-                <mrow>
-                  <mn>3</mn>
+          <div v-if="isShowAnswer19" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span> 5sin 180掳-4sin 90掳+2 tan
+              180掳-7sin 270掳
+            </p>
+            <p>=5脳0-4脳1+2脳0-7脳锛�-1锛�</p>
+            <p>=3.</p>
+          </div>
+          <p class="p-btn" >
+            <span>
+                <span class="zt-ls"><b>渚�5</b></span>銆�姹�<math display="0">
+                <mi>sin</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mfrac>
                   <mi>蟺</mi>
-                </mrow>
-                <mn>2</mn>
-              </mfrac>
-            </math>鐨勫��.
-          </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>
-          </p>
-          <p class="left1">
-            <math display="">
-              <mtable displaystyle="true"
-                columnalign="right left right left right left right left right left right left"
-                columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" rowspacing="3pt">
-                <mtr>
-                  <mtd></mtd>
-                  <mtd>
-                    <mi>sin</mi>
-                    <mo data-mjx-texclass="NONE">鈦�</mo>
-                    <mfrac>
-                      <mi>蟺</mi>
-                      <mn>6</mn>
-                    </mfrac>
-                    <mo>鈭�</mo>
-                    <mi>cos</mi>
-                    <mo data-mjx-texclass="NONE">鈦�</mo>
-                    <mfrac>
-                      <mi>蟺</mi>
-                      <mn>3</mn>
-                    </mfrac>
-                    <mo>+</mo>
-                    <mi>cos</mi>
-                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                  <mn>6</mn>
+                </mfrac>
+                <mo>鈭�</mo>
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mfrac>
+                  <mi>蟺</mi>
+                  <mn>3</mn>
+                </mfrac>
+                <mo>+</mo>
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mi>蟺</mi>
+                <mo>鈭�</mo>
+                <mi>sin</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mfrac>
+                  <mrow>
+                    <mn>3</mn>
                     <mi>蟺</mi>
-                    <mo>鈭�</mo>
-                    <mi>sin</mi>
-                    <mo data-mjx-texclass="NONE">鈦�</mo>
-                    <mfrac>
-                      <mrow>
-                        <mn>3</mn>
-                        <mi>蟺</mi>
-                      </mrow>
-                      <mn>2</mn>
-                    </mfrac>
-                  </mtd>
-                </mtr>
-                <mtr>
-                  <mtd>
-                    <mo>=</mo>
-                  </mtd>
-                  <mtd>
-                    <mfrac>
-                      <mn>1</mn>
-                      <mn>2</mn>
-                    </mfrac>
-                    <mo>鈭�</mo>
-                    <mfrac>
-                      <mn>1</mn>
-                      <mn>2</mn>
-                    </mfrac>
-                    <mo>+</mo>
-                    <mo stretchy="false">(</mo>
-                    <mo>鈭�</mo>
-                    <mn>1</mn>
-                    <mo stretchy="false">)</mo>
-                    <mo>鈭�</mo>
-                    <mo stretchy="false">(</mo>
-                    <mo>鈭�</mo>
-                    <mn>1</mn>
-                    <mo stretchy="false">)</mo>
-                  </mtd>
-                </mtr>
-                <mtr>
-                  <mtd>
-                    <mo>=</mo>
-                  </mtd>
-                  <mtd>
-                    <mn>0</mn>
-                    <mo>.</mo>
-                  </mtd>
-                </mtr>
-              </mtable>
-            </math>
+                  </mrow>
+                  <mn>2</mn>
+                </mfrac>
+              </math>鐨勫��.
+            </span>
+            <span class="btn-box" @click="hadleAnswer(20)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
+          <div v-if="isShowAnswer20" > 
+
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>
+            </p>
+            <p class="left1">
+              <math display="">
+                <mtable displaystyle="true"
+                  columnalign="right left right left right left right left right left right left"
+                  columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" rowspacing="3pt">
+                  <mtr>
+                    <mtd></mtd>
+                    <mtd>
+                      <mi>sin</mi>
+                      <mo data-mjx-texclass="NONE">鈦�</mo>
+                      <mfrac>
+                        <mi>蟺</mi>
+                        <mn>6</mn>
+                      </mfrac>
+                      <mo>鈭�</mo>
+                      <mi>cos</mi>
+                      <mo data-mjx-texclass="NONE">鈦�</mo>
+                      <mfrac>
+                        <mi>蟺</mi>
+                        <mn>3</mn>
+                      </mfrac>
+                      <mo>+</mo>
+                      <mi>cos</mi>
+                      <mo data-mjx-texclass="NONE">鈦�</mo>
+                      <mi>蟺</mi>
+                      <mo>鈭�</mo>
+                      <mi>sin</mi>
+                      <mo data-mjx-texclass="NONE">鈦�</mo>
+                      <mfrac>
+                        <mrow>
+                          <mn>3</mn>
+                          <mi>蟺</mi>
+                        </mrow>
+                        <mn>2</mn>
+                      </mfrac>
+                    </mtd>
+                  </mtr>
+                  <mtr>
+                    <mtd>
+                      <mo>=</mo>
+                    </mtd>
+                    <mtd>
+                      <mfrac>
+                        <mn>1</mn>
+                        <mn>2</mn>
+                      </mfrac>
+                      <mo>鈭�</mo>
+                      <mfrac>
+                        <mn>1</mn>
+                        <mn>2</mn>
+                      </mfrac>
+                      <mo>+</mo>
+                      <mo stretchy="false">(</mo>
+                      <mo>鈭�</mo>
+                      <mn>1</mn>
+                      <mo stretchy="false">)</mo>
+                      <mo>鈭�</mo>
+                      <mo stretchy="false">(</mo>
+                      <mo>鈭�</mo>
+                      <mn>1</mn>
+                      <mo stretchy="false">)</mo>
+                    </mtd>
+                  </mtr>
+                  <mtr>
+                    <mtd>
+                      <mo>=</mo>
+                    </mtd>
+                    <mtd>
+                      <mn>0</mn>
+                      <mo>.</mo>
+                    </mtd>
+                  </mtr>
+                </mtable>
+              </math>
+            </p>
+          </div>
           <p class="left">
             <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
           </p>
@@ -2144,10 +2369,8 @@
         </div>
       </div>
     </div>
-
     <!-- 174 -->
     <div class="page-box hidePage" page="181"></div>
-
     <!-- 175 -->
     <div class="page-box" page="182">
       <div v-if="showPageList.indexOf(182) > -1">
@@ -2156,7 +2379,7 @@
             <p>绗簲鍗曞厓 涓夎鍑芥暟</p>
           </li>
           <li>
-            <p><span>175</span></p>
+            <p><span>175-176</span></p>
           </li>
         </ul>
         <div class="padding-116">
@@ -2229,114 +2452,125 @@
               </mfrac>
             </math>.
           </p>
-          <p>
-            <span class="zt-ls"><b>渚�1</b></span>銆�宸茬煡<math display="0">
-              <mi>cos</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mi>伪</mi>
-              <mo>=</mo>
-              <mfrac>
-                <mn>3</mn>
-                <mn>5</mn>
-              </mfrac>
-            </math>锛� 涓�<i>伪</i>鏄鍥涜薄闄愯锛屾眰sin<i>伪</i>锛宼an<i>伪</i>鐨勫��.
+          <p class="p-btn" >
+            <span>
+                <span class="zt-ls"><b>渚�1</b></span>銆�宸茬煡<math display="0">
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mi>伪</mi>
+                <mo>=</mo>
+                <mfrac>
+                  <mn>3</mn>
+                  <mn>5</mn>
+                </mfrac>
+              </math>锛� 涓�<i>伪</i>鏄鍥涜薄闄愯锛屾眰sin<i>伪</i>锛宼an<i>伪</i>鐨勫��.
+            </span>
+            <span class="btn-box" @click="hadleAnswer(21)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span> 鍥犱负
-            <i>伪</i>鏄鍥涜薄闄愯锛屾墍浠in<i>伪</i>锛�0 .
-          </p>
-          <math display="block">
-            <mtable columnspacing="1em" rowspacing="4pt">
-              <mtr>
-                <mtd>
-                  <mi>sin</mi>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mi>伪</mi>
-                  <mo>=</mo>
-                  <mo>鈭�</mo>
-                  <msqrt>
-                    <mn>1</mn>
-                    <mo>鈭�</mo>
-                    <msup>
-                      <mi>cos</mi>
-                      <mrow>
-                        <mn>2</mn>
-                      </mrow>
-                    </msup>
+          <div v-if="isShowAnswer21" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span> 鍥犱负
+              <i>伪</i>鏄鍥涜薄闄愯锛屾墍浠in<i>伪</i>锛�0 .
+            </p>
+            <math display="block">
+              <mtable columnspacing="1em" rowspacing="4pt">
+                <mtr>
+                  <mtd>
+                    <mi>sin</mi>
                     <mo data-mjx-texclass="NONE">鈦�</mo>
                     <mi>伪</mi>
-                  </msqrt>
-                  <mo>=</mo>
-                  <mo>鈭�</mo>
-                  <msqrt>
-                    <mn>1</mn>
+                    <mo>=</mo>
                     <mo>鈭�</mo>
-                    <msup>
-                      <mrow data-mjx-texclass="INNER">
-                        <mo data-mjx-texclass="OPEN">(</mo>
-                        <mfrac>
-                          <mn>3</mn>
-                          <mn>5</mn>
-                        </mfrac>
-                        <mo data-mjx-texclass="CLOSE">)</mo>
-                      </mrow>
-                      <mrow>
-                        <mn>2</mn>
-                      </mrow>
-                    </msup>
-                  </msqrt>
-                  <mo>=</mo>
-                  <mo>鈭�</mo>
-                  <mfrac>
-                    <mn>4</mn>
-                    <mn>5</mn>
-                  </mfrac>
-                  <mo>,</mo>
-                </mtd>
-              </mtr>
-              <mtr>
-                <mtd>
-                  <mi>tan</mi>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mi>伪</mi>
-                  <mo>=</mo>
-                  <mfrac>
-                    <mrow>
-                      <mi>sin</mi>
-                      <mo data-mjx-texclass="NONE">鈦�</mo>
-                      <mi>伪</mi>
-                    </mrow>
-                    <mrow>
-                      <mi>cos</mi>
-                      <mo data-mjx-texclass="NONE">鈦�</mo>
-                      <mi>伪</mi>
-                    </mrow>
-                  </mfrac>
-                  <mo>=</mo>
-                  <mfrac>
-                    <mrow>
+                    <msqrt>
+                      <mn>1</mn>
                       <mo>鈭�</mo>
-                      <mfrac>
-                        <mn>4</mn>
-                        <mn>5</mn>
-                      </mfrac>
-                    </mrow>
+                      <msup>
+                        <mi>cos</mi>
+                        <mrow>
+                          <mn>2</mn>
+                        </mrow>
+                      </msup>
+                      <mo data-mjx-texclass="NONE">鈦�</mo>
+                      <mi>伪</mi>
+                    </msqrt>
+                    <mo>=</mo>
+                    <mo>鈭�</mo>
+                    <msqrt>
+                      <mn>1</mn>
+                      <mo>鈭�</mo>
+                      <msup>
+                        <mrow data-mjx-texclass="INNER">
+                          <mo data-mjx-texclass="OPEN">(</mo>
+                          <mfrac>
+                            <mn>3</mn>
+                            <mn>5</mn>
+                          </mfrac>
+                          <mo data-mjx-texclass="CLOSE">)</mo>
+                        </mrow>
+                        <mrow>
+                          <mn>2</mn>
+                        </mrow>
+                      </msup>
+                    </msqrt>
+                    <mo>=</mo>
+                    <mo>鈭�</mo>
                     <mfrac>
-                      <mn>3</mn>
+                      <mn>4</mn>
                       <mn>5</mn>
                     </mfrac>
-                  </mfrac>
-                  <mo>=</mo>
-                  <mo>鈭�</mo>
-                  <mfrac>
-                    <mn>4</mn>
-                    <mn>3</mn>
-                  </mfrac>
-                  <mo>.</mo>
-                </mtd>
-              </mtr>
-            </mtable>
-          </math>
+                    <mo>,</mo>
+                  </mtd>
+                </mtr>
+                <mtr>
+                  <mtd>
+                    <mi>tan</mi>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mi>伪</mi>
+                    <mo>=</mo>
+                    <mfrac>
+                      <mrow>
+                        <mi>sin</mi>
+                        <mo data-mjx-texclass="NONE">鈦�</mo>
+                        <mi>伪</mi>
+                      </mrow>
+                      <mrow>
+                        <mi>cos</mi>
+                        <mo data-mjx-texclass="NONE">鈦�</mo>
+                        <mi>伪</mi>
+                      </mrow>
+                    </mfrac>
+                    <mo>=</mo>
+                    <mfrac>
+                      <mrow>
+                        <mo>鈭�</mo>
+                        <mfrac>
+                          <mn>4</mn>
+                          <mn>5</mn>
+                        </mfrac>
+                      </mrow>
+                      <mfrac>
+                        <mn>3</mn>
+                        <mn>5</mn>
+                      </mfrac>
+                    </mfrac>
+                    <mo>=</mo>
+                    <mo>鈭�</mo>
+                    <mfrac>
+                      <mn>4</mn>
+                      <mn>3</mn>
+                    </mfrac>
+                    <mo>.</mo>
+                  </mtd>
+                </mtr>
+              </mtable>
+            </math>
+          </div>
           <div class="bk">
             <div class="bj1">
               <p class="left">
@@ -2382,8 +2616,33 @@
               </math>.鍏跺紑鏂瑰悗鐨勭鍙锋槸鐢辨寮﹀�肩殑璞¢檺绗﹀彿鏉ョ‘瀹氱殑.鍚岀悊锛屽紑鏂瑰悗浣欏鸡鍊肩殑绗﹀彿涔熶竴鏍�.
             </p>
           </div>
-          <p>
-            <span class="zt-ls"><b>渚�2</b></span>銆�宸茬煡<math display="0">
+          <p class="p-btn" >
+            <span>
+                <span class="zt-ls"><b>渚�2</b></span>銆�宸茬煡<math display="0">
+                <mi>tan</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mi>伪</mi>
+                <mo>=</mo>
+                <mfrac>
+                  <mn>12</mn>
+                  <mn>5</mn>
+                </mfrac>
+              </math>锛屼笖<i>伪</i>鏄涓夎薄闄愯锛屾眰sin <i>伪</i>锛宑os <i>伪</i>鐨勫��.
+            </span>
+            <span class="btn-box" @click="hadleAnswer(22)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <div v-if="isShowAnswer22" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>
+            </p>
+            <math display="block">
+              <mtext>&nbsp;鐢�&nbsp;</mtext>
               <mi>tan</mi>
               <mo data-mjx-texclass="NONE">鈦�</mo>
               <mi>伪</mi>
@@ -2392,179 +2651,151 @@
                 <mn>12</mn>
                 <mn>5</mn>
               </mfrac>
-            </math>锛屼笖<i>伪</i>鏄涓夎薄闄愯锛屾眰sin <i>伪</i>锛宑os <i>伪</i>鐨勫��.
-          </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>
-          </p>
-          <math display="block">
-            <mtext>&nbsp;鐢�&nbsp;</mtext>
-            <mi>tan</mi>
-            <mo data-mjx-texclass="NONE">鈦�</mo>
-            <mi>伪</mi>
-            <mo>=</mo>
-            <mfrac>
-              <mn>12</mn>
-              <mn>5</mn>
-            </mfrac>
-            <mtext>&nbsp;寰�,&nbsp;</mtext>
-            <mfrac>
-              <mrow>
-                <mi>sin</mi>
-                <mo data-mjx-texclass="NONE">鈦�</mo>
-                <mi>伪</mi>
-              </mrow>
-              <mrow>
-                <mi>cos</mi>
-                <mo data-mjx-texclass="NONE">鈦�</mo>
-                <mi>伪</mi>
-              </mrow>
-            </mfrac>
-            <mo>=</mo>
-            <mfrac>
-              <mn>12</mn>
-              <mn>5</mn>
-            </mfrac>
-            <mtext>, 鍗�&nbsp;</mtext>
-            <mi>sin</mi>
-            <mo data-mjx-texclass="NONE">鈦�</mo>
-            <mi>伪</mi>
-            <mo>=</mo>
-            <mfrac>
-              <mn>12</mn>
-              <mn>5</mn>
-            </mfrac>
-            <mi>cos</mi>
-            <mo data-mjx-texclass="NONE">鈦�</mo>
-            <mi>伪</mi>
-            <mtext>.&nbsp;</mtext>
-          </math>
-          <p>鎶娾憼浠e叆</p>
-          <math display="block">
-            <msup>
+              <mtext>&nbsp;寰�,&nbsp;</mtext>
+              <mfrac>
+                <mrow>
+                  <mi>sin</mi>
+                  <mo data-mjx-texclass="NONE">鈦�</mo>
+                  <mi>伪</mi>
+                </mrow>
+                <mrow>
+                  <mi>cos</mi>
+                  <mo data-mjx-texclass="NONE">鈦�</mo>
+                  <mi>伪</mi>
+                </mrow>
+              </mfrac>
+              <mo>=</mo>
+              <mfrac>
+                <mn>12</mn>
+                <mn>5</mn>
+              </mfrac>
+              <mtext>, 鍗�&nbsp;</mtext>
               <mi>sin</mi>
-              <mrow>
-                <mn>2</mn>
-              </mrow>
-            </msup>
-            <mo data-mjx-texclass="NONE">鈦�</mo>
-            <mi>伪</mi>
-            <mo>+</mo>
-            <msup>
-              <mi>cos</mi>
-              <mrow>
-                <mn>2</mn>
-              </mrow>
-            </msup>
-            <mo data-mjx-texclass="NONE">鈦�</mo>
-            <mi>伪</mi>
-            <mo>=</mo>
-            <mn>1</mn>
-            <mo>,</mo>
-          </math>
-          <p class="right">鈶�</p>
-          <p>寰�</p>
-          <math display="block">
-            <mtable columnspacing="1em" rowspacing="4pt">
-              <mtr>
-                <mtd>
-                  <msup>
-                    <mrow data-mjx-texclass="INNER">
-                      <mo data-mjx-texclass="OPEN">(</mo>
-                      <mfrac>
-                        <mn>12</mn>
-                        <mn>5</mn>
-                      </mfrac>
-                      <mi>cos</mi>
-                      <mo data-mjx-texclass="NONE">鈦�</mo>
-                      <mi>伪</mi>
-                      <mo data-mjx-texclass="CLOSE">)</mo>
-                    </mrow>
-                    <mrow>
-                      <mn>2</mn>
-                    </mrow>
-                  </msup>
-                  <mo>+</mo>
-                  <msup>
-                    <mi>cos</mi>
-                    <mrow>
-                      <mn>2</mn>
-                    </mrow>
-                  </msup>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mi>伪</mi>
-                  <mo>=</mo>
-                  <mn>1</mn>
-                  <mo>,</mo>
-                </mtd>
-              </mtr>
-              <mtr>
-                <mtd>
-                  <mfrac>
-                    <mn>169</mn>
-                    <mn>25</mn>
-                  </mfrac>
-                  <msup>
-                    <mi>cos</mi>
-                    <mrow>
-                      <mn>2</mn>
-                    </mrow>
-                  </msup>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mi>伪</mi>
-                  <mo>=</mo>
-                  <mn>1</mn>
-                  <mo>,</mo>
-                </mtd>
-              </mtr>
-              <mtr>
-                <mtd>
-                  <msup>
-                    <mi>cos</mi>
-                    <mrow>
-                      <mn>2</mn>
-                    </mrow>
-                  </msup>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mi>伪</mi>
-                  <mo>=</mo>
-                  <mfrac>
-                    <mn>25</mn>
-                    <mn>169</mn>
-                  </mfrac>
-                  <mo>.</mo>
-                </mtd>
-              </mtr>
-            </mtable>
-          </math>
-          <p>鍥犱负<i>伪</i>鏄涓夎薄闄愯锛屾墍浠os<i>伪</i>锛�0.</p>
-          <p>
-            鎵�浠�<math display="0">
-              <mi>cos</mi>
               <mo data-mjx-texclass="NONE">鈦�</mo>
               <mi>伪</mi>
               <mo>=</mo>
-              <mo>鈭�</mo>
               <mfrac>
+                <mn>12</mn>
                 <mn>5</mn>
-                <mn>13</mn>
               </mfrac>
-            </math>.
-          </p>
-        </div>
-      </div>
-    </div>
-
-    <!-- 176 -->
-    <div class="page-box" page="183">
-      <div v-if="showPageList.indexOf(183) > -1">
-        <ul class="page-header-odd fl al-end">
-          <li>176</li>
-          <li>鏁板.鍩虹妯″潡</li>
-          <li>涓婂唽</li>
-        </ul>
-        <div class="padding-116">
-          <p>
+              <mi>cos</mi>
+              <mo data-mjx-texclass="NONE">鈦�</mo>
+              <mi>伪</mi>
+              <mtext>.&nbsp;</mtext>
+            </math>
+            <p>鎶娾憼浠e叆</p>
+            <math display="block">
+              <msup>
+                <mi>sin</mi>
+                <mrow>
+                  <mn>2</mn>
+                </mrow>
+              </msup>
+              <mo data-mjx-texclass="NONE">鈦�</mo>
+              <mi>伪</mi>
+              <mo>+</mo>
+              <msup>
+                <mi>cos</mi>
+                <mrow>
+                  <mn>2</mn>
+                </mrow>
+              </msup>
+              <mo data-mjx-texclass="NONE">鈦�</mo>
+              <mi>伪</mi>
+              <mo>=</mo>
+              <mn>1</mn>
+              <mo>,</mo>
+            </math>
+            <p class="right">鈶�</p>
+            <p>寰�</p>
+            <math display="block">
+              <mtable columnspacing="1em" rowspacing="4pt">
+                <mtr>
+                  <mtd>
+                    <msup>
+                      <mrow data-mjx-texclass="INNER">
+                        <mo data-mjx-texclass="OPEN">(</mo>
+                        <mfrac>
+                          <mn>12</mn>
+                          <mn>5</mn>
+                        </mfrac>
+                        <mi>cos</mi>
+                        <mo data-mjx-texclass="NONE">鈦�</mo>
+                        <mi>伪</mi>
+                        <mo data-mjx-texclass="CLOSE">)</mo>
+                      </mrow>
+                      <mrow>
+                        <mn>2</mn>
+                      </mrow>
+                    </msup>
+                    <mo>+</mo>
+                    <msup>
+                      <mi>cos</mi>
+                      <mrow>
+                        <mn>2</mn>
+                      </mrow>
+                    </msup>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mi>伪</mi>
+                    <mo>=</mo>
+                    <mn>1</mn>
+                    <mo>,</mo>
+                  </mtd>
+                </mtr>
+                <mtr>
+                  <mtd>
+                    <mfrac>
+                      <mn>169</mn>
+                      <mn>25</mn>
+                    </mfrac>
+                    <msup>
+                      <mi>cos</mi>
+                      <mrow>
+                        <mn>2</mn>
+                      </mrow>
+                    </msup>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mi>伪</mi>
+                    <mo>=</mo>
+                    <mn>1</mn>
+                    <mo>,</mo>
+                  </mtd>
+                </mtr>
+                <mtr>
+                  <mtd>
+                    <msup>
+                      <mi>cos</mi>
+                      <mrow>
+                        <mn>2</mn>
+                      </mrow>
+                    </msup>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mi>伪</mi>
+                    <mo>=</mo>
+                    <mfrac>
+                      <mn>25</mn>
+                      <mn>169</mn>
+                    </mfrac>
+                    <mo>.</mo>
+                  </mtd>
+                </mtr>
+              </mtable>
+            </math>
+            <p>鍥犱负<i>伪</i>鏄涓夎薄闄愯锛屾墍浠os<i>伪</i>锛�0.</p>
+            <p>
+              鎵�浠�<math display="0">
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mi>伪</mi>
+                <mo>=</mo>
+                <mo>鈭�</mo>
+                <mfrac>
+                  <mn>5</mn>
+                  <mn>13</mn>
+                </mfrac>
+              </math>.
+            </p>
+            <p>
             鎶�<math display="0">
               <mi>cos</mi>
               <mo data-mjx-texclass="NONE">鈦�</mo>
@@ -2577,388 +2808,100 @@
               </mfrac>
             </math>浠e叆鈶犲紡锛屽緱
           </p>
-          <math display="block">
-            <mi>sin</mi>
-            <mo data-mjx-texclass="NONE">鈦�</mo>
-            <mi>伪</mi>
-            <mo>=</mo>
-            <mfrac>
-              <mn>12</mn>
-              <mn>5</mn>
-            </mfrac>
-            <mi>cos</mi>
-            <mo data-mjx-texclass="NONE">鈦�</mo>
-            <mi>伪</mi>
-            <mo>=</mo>
-            <mfrac>
-              <mn>12</mn>
-              <mn>5</mn>
-            </mfrac>
-            <mo>脳</mo>
-            <mrow data-mjx-texclass="INNER">
-              <mo data-mjx-texclass="OPEN">(</mo>
+            <math display="block">
+              <mi>sin</mi>
+              <mo data-mjx-texclass="NONE">鈦�</mo>
+              <mi>伪</mi>
+              <mo>=</mo>
+              <mfrac>
+                <mn>12</mn>
+                <mn>5</mn>
+              </mfrac>
+              <mi>cos</mi>
+              <mo data-mjx-texclass="NONE">鈦�</mo>
+              <mi>伪</mi>
+              <mo>=</mo>
+              <mfrac>
+                <mn>12</mn>
+                <mn>5</mn>
+              </mfrac>
+              <mo>脳</mo>
+              <mrow data-mjx-texclass="INNER">
+                <mo data-mjx-texclass="OPEN">(</mo>
+                <mo>鈭�</mo>
+                <mfrac>
+                  <mn>5</mn>
+                  <mn>13</mn>
+                </mfrac>
+                <mo data-mjx-texclass="CLOSE">)</mo>
+              </mrow>
+              <mo>=</mo>
               <mo>鈭�</mo>
               <mfrac>
-                <mn>5</mn>
+                <mn>12</mn>
                 <mn>13</mn>
-              </mfrac>
-              <mo data-mjx-texclass="CLOSE">)</mo>
-            </mrow>
-            <mo>=</mo>
-            <mo>鈭�</mo>
-            <mfrac>
-              <mn>12</mn>
-              <mn>13</mn>
-            </mfrac>
-            <mo>.</mo>
-          </math>
-          <p>
-            <span class="zt-ls"><b>渚�3</b></span>銆�姹傝瘉sin<sup>4</sup><i>伪</i>-cos<sup>4</sup><i>伪</i>=2sin
-            <sup>2</sup><i>伪</i>-1.
-          </p>
-          <p>
-            <b>璇佹槑</b> sin<sup>4</sup><i>伪</i>-cos<sup>4</sup><i>伪</i>=锛坰in
-            <sup>2</sup><i>伪</i>+cos<sup>2</sup><i>伪</i>锛夛紙sin<sup>2</sup><i>伪</i>-cos<sup>2</sup><i>伪</i>锛�
-          </p>
-          <p>=sin<sup>2</sup><i>伪</i>-cos<sup>2</sup><i>伪</i></p>
-          <p>=sin<sup>2</sup><i>伪</i>-锛�1-sin<sup>2</sup><i>伪</i>锛�</p>
-          <p>=2sin<sup>2</sup><i>伪</i>-1.</p>
-          <p>
-            <span class="zt-ls"><b>渚�4</b></span>銆�鍖栫畝<math display="0">
-              <mfrac>
-                <mrow>
-                  <mi>sin</mi>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mi>胃</mi>
-                  <mo>鈭�</mo>
-                  <mi>cos</mi>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mi>胃</mi>
-                </mrow>
-                <mrow>
-                  <mi>tan</mi>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mi>胃</mi>
-                  <mo>鈭�</mo>
-                  <mn>1</mn>
-                </mrow>
-              </mfrac>
-            </math>.
-          </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>
-          </p>
-          <math display="block">
-            <mo>鐢�</mo>
-            <mi>tan</mi>
-            <mo data-mjx-texclass="NONE">鈦�</mo>
-            <mi>胃</mi>
-            <mo>=</mo>
-            <mfrac>
-              <mrow>
-                <mi>sin</mi>
-                <mo data-mjx-texclass="NONE">鈦�</mo>
-                <mi>胃</mi>
-              </mrow>
-              <mrow>
-                <mi>cos</mi>
-                <mo data-mjx-texclass="NONE">鈦�</mo>
-                <mi>胃</mi>
-              </mrow>
-            </mfrac>
-            <mo>=</mo>
-            <mo>鈭�</mo>
-            <mn>3</mn>
-            <mo>,</mo>
-            <mo>寰�</mo>
-            <mi>sin</mi>
-            <mo data-mjx-texclass="NONE">鈦�</mo>
-            <mi>胃</mi>
-            <mo>=</mo>
-            <mo>鈭�</mo>
-            <mn>3</mn>
-            <mi>cos</mi>
-            <mo data-mjx-texclass="NONE">鈦�</mo>
-            <mi>胃</mi>
-            <mo>.</mo>
-            <mtable displaystyle="true" columnalign="right left right left right left right left right left right left"
-              columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" rowspacing="3pt">
-              <mtr>
-                <mtd>
-                  <mfrac>
-                    <mrow>
-                      <mn>4</mn>
-                      <mi>sin</mi>
-                      <mo data-mjx-texclass="NONE">鈦�</mo>
-                      <mi>胃</mi>
-                      <mo>鈭�</mo>
-                      <mn>2</mn>
-                      <mi>cos</mi>
-                      <mo data-mjx-texclass="NONE">鈦�</mo>
-                      <mi>胃</mi>
-                    </mrow>
-                    <mrow>
-                      <mn>5</mn>
-                      <mi>cos</mi>
-                      <mo data-mjx-texclass="NONE">鈦�</mo>
-                      <mi>胃</mi>
-                      <mo>+</mo>
-                      <mn>3</mn>
-                      <mi>sin</mi>
-                      <mo data-mjx-texclass="NONE">鈦�</mo>
-                      <mi>胃</mi>
-                    </mrow>
-                  </mfrac>
-                </mtd>
-                <mtd>
-                  <mi></mi>
-                  <mo>=</mo>
-                  <mfrac>
-                    <mrow>
-                      <mn>4</mn>
-                      <mo stretchy="false">(</mo>
-                      <mo>鈭�</mo>
-                      <mn>3</mn>
-                      <mi>cos</mi>
-                      <mo data-mjx-texclass="NONE">鈦�</mo>
-                      <mi>胃</mi>
-                      <mo stretchy="false">)</mo>
-                      <mo>鈭�</mo>
-                      <mn>2</mn>
-                      <mi>cos</mi>
-                      <mo data-mjx-texclass="NONE">鈦�</mo>
-                      <mi>胃</mi>
-                    </mrow>
-                    <mrow>
-                      <mn>5</mn>
-                      <mi>cos</mi>
-                      <mo data-mjx-texclass="NONE">鈦�</mo>
-                      <mi>胃</mi>
-                      <mo>+</mo>
-                      <mn>3</mn>
-                      <mo stretchy="false">(</mo>
-                      <mo>鈭�</mo>
-                      <mn>3</mn>
-                      <mi>cos</mi>
-                      <mo data-mjx-texclass="NONE">鈦�</mo>
-                      <mi>胃</mi>
-                      <mo stretchy="false">)</mo>
-                    </mrow>
-                  </mfrac>
-                </mtd>
-              </mtr>
-              <mtr>
-                <mtd></mtd>
-                <mtd>
-                  <mi></mi>
-                  <mo>=</mo>
-                  <mfrac>
-                    <mrow>
-                      <mo>鈭�</mo>
-                      <mn>14</mn>
-                      <mi>cos</mi>
-                      <mo data-mjx-texclass="NONE">鈦�</mo>
-                      <mi>胃</mi>
-                    </mrow>
-                    <mrow>
-                      <mo>鈭�</mo>
-                      <mn>4</mn>
-                      <mi>cos</mi>
-                      <mo data-mjx-texclass="NONE">鈦�</mo>
-                      <mi>胃</mi>
-                    </mrow>
-                  </mfrac>
-                  <mo>=</mo>
-                  <mfrac>
-                    <mn>7</mn>
-                    <mn>2</mn>
-                  </mfrac>
-                  <mo>.</mo>
-                </mtd>
-              </mtr>
-            </mtable>
-          </math>
-          <div class="bk">
-            <div class="bj1">
-              <p class="left">
-                <img class="img-gn1" alt="" src="../../assets/images/tbts.jpg" />
-              </p>
-            </div>
-            <p class="block">
-              鏂规硶涓�鐨勮繍绠楁�濊矾鏄敱姝e鸡鍑芥暟銆佷綑寮﹀嚱鏁板彉鍖栦负姝e垏鍑芥暟姹傚嚭缁撴灉锛屾垜浠畝绉颁负鈥滃鸡鍖栧垏鈥濓紱鏂规硶浜岀殑杩愮畻鎬濊矾鏄敱姝e垏鍑芥暟鍙樺寲涓烘寮﹀嚱鏁板拰浣欏鸡鍑芥暟鐨勫叧绯诲悗姹傚嚭缁撴灉锛屾垜浠畝绉颁负鈥滃垏鍖栧鸡鈥�.
-            </p>
-          </div>
-          <p>
-            <span class="zt-ls"><b>渚�5</b></span>銆�宸茬煡tan<i>胃</i>=-3锛屾眰<math display="0">
-              <mfrac>
-                <mrow>
-                  <mn>4</mn>
-                  <mi>sin</mi>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mi>胃</mi>
-                  <mo>鈭�</mo>
-                  <mn>2</mn>
-                  <mi>cos</mi>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mi>胃</mi>
-                </mrow>
-                <mrow>
-                  <mn>5</mn>
-                  <mi>cos</mi>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mi>胃</mi>
-                  <mo>+</mo>
-                  <mn>3</mn>
-                  <mi>sin</mi>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mi>胃</mi>
-                </mrow>
-              </mfrac>
-            </math>鐨勫��.
-          </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span> 鏂规硶涓�锛氭樉鐒禼os <i>胃</i>鈮�0锛�
-          </p>
-          <p class="left1">
-            <math display="">
-              <mfrac>
-                <mrow>
-                  <mn>4</mn>
-                  <mi>sin</mi>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mi>胃</mi>
-                  <mo>鈭�</mo>
-                  <mn>2</mn>
-                  <mi>cos</mi>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mi>胃</mi>
-                </mrow>
-                <mrow>
-                  <mn>5</mn>
-                  <mi>cos</mi>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mi>胃</mi>
-                  <mo>+</mo>
-                  <mn>3</mn>
-                  <mi>sin</mi>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mi>胃</mi>
-                </mrow>
-              </mfrac>
-              <mo>=</mo>
-              <mfrac>
-                <mrow>
-                  <mfrac>
-                    <mrow>
-                      <mn>4</mn>
-                      <mi>sin</mi>
-                      <mo data-mjx-texclass="NONE">鈦�</mo>
-                      <mi>胃</mi>
-                    </mrow>
-                    <mrow>
-                      <mi>cos</mi>
-                      <mo data-mjx-texclass="NONE">鈦�</mo>
-                      <mi>胃</mi>
-                    </mrow>
-                  </mfrac>
-                  <mo>鈭�</mo>
-                  <mfrac>
-                    <mrow>
-                      <mn>2</mn>
-                      <mi>cos</mi>
-                      <mo data-mjx-texclass="NONE">鈦�</mo>
-                      <mi>胃</mi>
-                    </mrow>
-                    <mrow>
-                      <mi>cos</mi>
-                      <mo data-mjx-texclass="NONE">鈦�</mo>
-                      <mi>胃</mi>
-                    </mrow>
-                  </mfrac>
-                </mrow>
-                <mrow>
-                  <mfrac>
-                    <mrow>
-                      <mn>5</mn>
-                      <mi>cos</mi>
-                      <mo data-mjx-texclass="NONE">鈦�</mo>
-                      <mi>胃</mi>
-                    </mrow>
-                    <mrow>
-                      <mi>cos</mi>
-                      <mo data-mjx-texclass="NONE">鈦�</mo>
-                      <mi>胃</mi>
-                    </mrow>
-                  </mfrac>
-                  <mo>+</mo>
-                  <mfrac>
-                    <mrow>
-                      <mn>3</mn>
-                      <mi>sin</mi>
-                      <mo data-mjx-texclass="NONE">鈦�</mo>
-                      <mi>胃</mi>
-                    </mrow>
-                    <mrow>
-                      <mi>cos</mi>
-                      <mo data-mjx-texclass="NONE">鈦�</mo>
-                      <mi>胃</mi>
-                    </mrow>
-                  </mfrac>
-                </mrow>
-              </mfrac>
-              <mo>=</mo>
-              <mfrac>
-                <mrow>
-                  <mn>4</mn>
-                  <mi>tan</mi>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mi>胃</mi>
-                  <mo>鈭�</mo>
-                  <mn>2</mn>
-                </mrow>
-                <mrow>
-                  <mn>5</mn>
-                  <mo>+</mo>
-                  <mn>3</mn>
-                  <mi>tan</mi>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mi>胃</mi>
-                </mrow>
-              </mfrac>
-              <mo>=</mo>
-              <mfrac>
-                <mrow>
-                  <mn>4</mn>
-                  <mo>脳</mo>
-                  <mo stretchy="false">(</mo>
-                  <mo>鈭�</mo>
-                  <mn>3</mn>
-                  <mo stretchy="false">)</mo>
-                  <mo>鈭�</mo>
-                  <mn>2</mn>
-                </mrow>
-                <mrow>
-                  <mn>5</mn>
-                  <mo>+</mo>
-                  <mn>3</mn>
-                  <mo>脳</mo>
-                  <mo stretchy="false">(</mo>
-                  <mo>鈭�</mo>
-                  <mn>3</mn>
-                  <mo stretchy="false">)</mo>
-                </mrow>
-              </mfrac>
-              <mo>=</mo>
-              <mfrac>
-                <mn>7</mn>
-                <mn>2</mn>
               </mfrac>
               <mo>.</mo>
             </math>
+          </div>
+          <p class="p-btn" >
+            <span>
+              <span class="zt-ls"><b>渚�3</b></span>銆�姹傝瘉sin<sup>4</sup><i>伪</i>-cos<sup>4</sup><i>伪</i>=2sin
+              <sup>2</sup><i>伪</i>-1.
+            </span>
+            <span class="btn-box" @click="hadleAnswer(23)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p>鏂规硶浜岋細</p>
-          <p class="left1">
-            <math display="">
+          <div v-if="isShowAnswer23" > 
+            <p>
+              <b>璇佹槑</b> sin<sup>4</sup><i>伪</i>-cos<sup>4</sup><i>伪</i>=锛坰in
+              <sup>2</sup><i>伪</i>+cos<sup>2</sup><i>伪</i>锛夛紙sin<sup>2</sup><i>伪</i>-cos<sup>2</sup><i>伪</i>锛�
+            </p>
+            <p>=sin<sup>2</sup><i>伪</i>-cos<sup>2</sup><i>伪</i></p>
+            <p>=sin<sup>2</sup><i>伪</i>-锛�1-sin<sup>2</sup><i>伪</i>锛�</p>
+            <p>=2sin<sup>2</sup><i>伪</i>-1.</p>
+          </div>
+          <p class="p-btn" >
+            <span>
+              <span class="zt-ls"><b>渚�4</b></span>銆�鍖栫畝<math display="0">
+                <mfrac>
+                  <mrow>
+                    <mi>sin</mi>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mi>胃</mi>
+                    <mo>鈭�</mo>
+                    <mi>cos</mi>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mi>胃</mi>
+                  </mrow>
+                  <mrow>
+                    <mi>tan</mi>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mi>胃</mi>
+                    <mo>鈭�</mo>
+                    <mn>1</mn>
+                  </mrow>
+                </mfrac>
+              </math>.
+            </span>
+            <span class="btn-box" @click="hadleAnswer(24)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <div v-if="isShowAnswer24" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>
+            </p>
+            <math display="block">
               <mo>鐢�</mo>
               <mi>tan</mi>
               <mo data-mjx-texclass="NONE">鈦�</mo>
@@ -2991,12 +2934,7 @@
               <mo data-mjx-texclass="NONE">鈦�</mo>
               <mi>胃</mi>
               <mo>.</mo>
-            </math>
-          </p>
-          <p class="left1">
-            <math display="">
-              <mtable displaystyle="true"
-                columnalign="right left right left right left right left right left right left"
+              <mtable displaystyle="true" columnalign="right left right left right left right left right left right left"
                 columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" rowspacing="3pt">
                 <mtr>
                   <mtd>
@@ -3093,11 +3031,340 @@
                 </mtr>
               </mtable>
             </math>
+          </div>
+          <div class="bk mt-60">
+            <div class="bj1">
+              <p class="left">
+                <img class="img-gn1" alt="" src="../../assets/images/tbts.jpg" />
+              </p>
+            </div>
+            <p class="block">
+              鏂规硶涓�鐨勮繍绠楁�濊矾鏄敱姝e鸡鍑芥暟銆佷綑寮﹀嚱鏁板彉鍖栦负姝e垏鍑芥暟姹傚嚭缁撴灉锛屾垜浠畝绉颁负鈥滃鸡鍖栧垏鈥濓紱鏂规硶浜岀殑杩愮畻鎬濊矾鏄敱姝e垏鍑芥暟鍙樺寲涓烘寮﹀嚱鏁板拰浣欏鸡鍑芥暟鐨勫叧绯诲悗姹傚嚭缁撴灉锛屾垜浠畝绉颁负鈥滃垏鍖栧鸡鈥�.
+            </p>
+          </div>
+          <p class="p-btn" >
+            <span>
+              <span class="zt-ls"><b>渚�5</b></span>銆�宸茬煡tan<i>胃</i>=-3锛屾眰<math display="0">
+                <mfrac>
+                  <mrow>
+                    <mn>4</mn>
+                    <mi>sin</mi>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mi>胃</mi>
+                    <mo>鈭�</mo>
+                    <mn>2</mn>
+                    <mi>cos</mi>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mi>胃</mi>
+                  </mrow>
+                  <mrow>
+                    <mn>5</mn>
+                    <mi>cos</mi>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mi>胃</mi>
+                    <mo>+</mo>
+                    <mn>3</mn>
+                    <mi>sin</mi>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mi>胃</mi>
+                  </mrow>
+                </mfrac>
+              </math>鐨勫��.
+            </span>
+            <span class="btn-box" @click="hadleAnswer(25)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
+          <div v-if="isShowAnswer25" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span> 鏂规硶涓�锛氭樉鐒禼os <i>胃</i>鈮�0锛�
+            </p>
+            <p class="left1">
+              <math display="">
+                <mfrac>
+                  <mrow>
+                    <mn>4</mn>
+                    <mi>sin</mi>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mi>胃</mi>
+                    <mo>鈭�</mo>
+                    <mn>2</mn>
+                    <mi>cos</mi>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mi>胃</mi>
+                  </mrow>
+                  <mrow>
+                    <mn>5</mn>
+                    <mi>cos</mi>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mi>胃</mi>
+                    <mo>+</mo>
+                    <mn>3</mn>
+                    <mi>sin</mi>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mi>胃</mi>
+                  </mrow>
+                </mfrac>
+                <mo>=</mo>
+                <mfrac>
+                  <mrow>
+                    <mfrac>
+                      <mrow>
+                        <mn>4</mn>
+                        <mi>sin</mi>
+                        <mo data-mjx-texclass="NONE">鈦�</mo>
+                        <mi>胃</mi>
+                      </mrow>
+                      <mrow>
+                        <mi>cos</mi>
+                        <mo data-mjx-texclass="NONE">鈦�</mo>
+                        <mi>胃</mi>
+                      </mrow>
+                    </mfrac>
+                    <mo>鈭�</mo>
+                    <mfrac>
+                      <mrow>
+                        <mn>2</mn>
+                        <mi>cos</mi>
+                        <mo data-mjx-texclass="NONE">鈦�</mo>
+                        <mi>胃</mi>
+                      </mrow>
+                      <mrow>
+                        <mi>cos</mi>
+                        <mo data-mjx-texclass="NONE">鈦�</mo>
+                        <mi>胃</mi>
+                      </mrow>
+                    </mfrac>
+                  </mrow>
+                  <mrow>
+                    <mfrac>
+                      <mrow>
+                        <mn>5</mn>
+                        <mi>cos</mi>
+                        <mo data-mjx-texclass="NONE">鈦�</mo>
+                        <mi>胃</mi>
+                      </mrow>
+                      <mrow>
+                        <mi>cos</mi>
+                        <mo data-mjx-texclass="NONE">鈦�</mo>
+                        <mi>胃</mi>
+                      </mrow>
+                    </mfrac>
+                    <mo>+</mo>
+                    <mfrac>
+                      <mrow>
+                        <mn>3</mn>
+                        <mi>sin</mi>
+                        <mo data-mjx-texclass="NONE">鈦�</mo>
+                        <mi>胃</mi>
+                      </mrow>
+                      <mrow>
+                        <mi>cos</mi>
+                        <mo data-mjx-texclass="NONE">鈦�</mo>
+                        <mi>胃</mi>
+                      </mrow>
+                    </mfrac>
+                  </mrow>
+                </mfrac>
+                <mo>=</mo>
+                <mfrac>
+                  <mrow>
+                    <mn>4</mn>
+                    <mi>tan</mi>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mi>胃</mi>
+                    <mo>鈭�</mo>
+                    <mn>2</mn>
+                  </mrow>
+                  <mrow>
+                    <mn>5</mn>
+                    <mo>+</mo>
+                    <mn>3</mn>
+                    <mi>tan</mi>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mi>胃</mi>
+                  </mrow>
+                </mfrac>
+                <mo>=</mo>
+                <mfrac>
+                  <mrow>
+                    <mn>4</mn>
+                    <mo>脳</mo>
+                    <mo stretchy="false">(</mo>
+                    <mo>鈭�</mo>
+                    <mn>3</mn>
+                    <mo stretchy="false">)</mo>
+                    <mo>鈭�</mo>
+                    <mn>2</mn>
+                  </mrow>
+                  <mrow>
+                    <mn>5</mn>
+                    <mo>+</mo>
+                    <mn>3</mn>
+                    <mo>脳</mo>
+                    <mo stretchy="false">(</mo>
+                    <mo>鈭�</mo>
+                    <mn>3</mn>
+                    <mo stretchy="false">)</mo>
+                  </mrow>
+                </mfrac>
+                <mo>=</mo>
+                <mfrac>
+                  <mn>7</mn>
+                  <mn>2</mn>
+                </mfrac>
+                <mo>.</mo>
+              </math>
+            </p>
+            <p>鏂规硶浜岋細</p>
+            <p class="left1">
+              <math display="">
+                <mo>鐢�</mo>
+                <mi>tan</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mi>胃</mi>
+                <mo>=</mo>
+                <mfrac>
+                  <mrow>
+                    <mi>sin</mi>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mi>胃</mi>
+                  </mrow>
+                  <mrow>
+                    <mi>cos</mi>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mi>胃</mi>
+                  </mrow>
+                </mfrac>
+                <mo>=</mo>
+                <mo>鈭�</mo>
+                <mn>3</mn>
+                <mo>,</mo>
+                <mo>寰�</mo>
+                <mi>sin</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mi>胃</mi>
+                <mo>=</mo>
+                <mo>鈭�</mo>
+                <mn>3</mn>
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mi>胃</mi>
+                <mo>.</mo>
+              </math>
+            </p>
+            <p class="left1">
+              <math display="">
+                <mtable displaystyle="true"
+                  columnalign="right left right left right left right left right left right left"
+                  columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" rowspacing="3pt">
+                  <mtr>
+                    <mtd>
+                      <mfrac>
+                        <mrow>
+                          <mn>4</mn>
+                          <mi>sin</mi>
+                          <mo data-mjx-texclass="NONE">鈦�</mo>
+                          <mi>胃</mi>
+                          <mo>鈭�</mo>
+                          <mn>2</mn>
+                          <mi>cos</mi>
+                          <mo data-mjx-texclass="NONE">鈦�</mo>
+                          <mi>胃</mi>
+                        </mrow>
+                        <mrow>
+                          <mn>5</mn>
+                          <mi>cos</mi>
+                          <mo data-mjx-texclass="NONE">鈦�</mo>
+                          <mi>胃</mi>
+                          <mo>+</mo>
+                          <mn>3</mn>
+                          <mi>sin</mi>
+                          <mo data-mjx-texclass="NONE">鈦�</mo>
+                          <mi>胃</mi>
+                        </mrow>
+                      </mfrac>
+                    </mtd>
+                    <mtd>
+                      <mi></mi>
+                      <mo>=</mo>
+                      <mfrac>
+                        <mrow>
+                          <mn>4</mn>
+                          <mo stretchy="false">(</mo>
+                          <mo>鈭�</mo>
+                          <mn>3</mn>
+                          <mi>cos</mi>
+                          <mo data-mjx-texclass="NONE">鈦�</mo>
+                          <mi>胃</mi>
+                          <mo stretchy="false">)</mo>
+                          <mo>鈭�</mo>
+                          <mn>2</mn>
+                          <mi>cos</mi>
+                          <mo data-mjx-texclass="NONE">鈦�</mo>
+                          <mi>胃</mi>
+                        </mrow>
+                        <mrow>
+                          <mn>5</mn>
+                          <mi>cos</mi>
+                          <mo data-mjx-texclass="NONE">鈦�</mo>
+                          <mi>胃</mi>
+                          <mo>+</mo>
+                          <mn>3</mn>
+                          <mo stretchy="false">(</mo>
+                          <mo>鈭�</mo>
+                          <mn>3</mn>
+                          <mi>cos</mi>
+                          <mo data-mjx-texclass="NONE">鈦�</mo>
+                          <mi>胃</mi>
+                          <mo stretchy="false">)</mo>
+                        </mrow>
+                      </mfrac>
+                    </mtd>
+                  </mtr>
+                  <mtr>
+                    <mtd></mtd>
+                    <mtd>
+                      <mi></mi>
+                      <mo>=</mo>
+                      <mfrac>
+                        <mrow>
+                          <mo>鈭�</mo>
+                          <mn>14</mn>
+                          <mi>cos</mi>
+                          <mo data-mjx-texclass="NONE">鈦�</mo>
+                          <mi>胃</mi>
+                        </mrow>
+                        <mrow>
+                          <mo>鈭�</mo>
+                          <mn>4</mn>
+                          <mi>cos</mi>
+                          <mo data-mjx-texclass="NONE">鈦�</mo>
+                          <mi>胃</mi>
+                        </mrow>
+                      </mfrac>
+                      <mo>=</mo>
+                      <mfrac>
+                        <mn>7</mn>
+                        <mn>2</mn>
+                      </mfrac>
+                      <mo>.</mo>
+                    </mtd>
+                  </mtr>
+                </mtable>
+              </math>
+            </p>
+          </div>
         </div>
       </div>
     </div>
-
+    <!-- 176 -->
+    <div class="page-box hidePage" page="183">
+    </div>
     <!-- 177 -->
     <div class="page-box" page="184">
       <div v-if="showPageList.indexOf(184) > -1">
@@ -3125,7 +3392,6 @@
         </div>
       </div>
     </div>
-
     <!-- 178 -->
     <div class="page-box" page="185">
       <div v-if="showPageList.indexOf(185) > -1">
@@ -3298,7 +3564,6 @@
         </div>
       </div>
     </div>
-
     <!-- 179 -->
     <div class="page-box" page="186">
       <div v-if="showPageList.indexOf(186) > -1">
@@ -3310,126 +3575,134 @@
             <p><span>179</span></p>
           </li>
         </ul>
-
         <div class="padding-116">
-          <p>
-            <span class="zt-ls"><b>渚�1</b></span>銆�姹備笅鍒椾笁瑙掑嚱鏁扮殑鍊�.
+          <p class="p-btn" >
+            <span><span class="zt-ls"><b>渚�1</b></span>銆�姹備笅鍒椾笁瑙掑嚱鏁扮殑鍊�.</span>
+            <span class="btn-box" @click="hadleAnswer(26)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
           <p>
-            锛�1锛�
-            <math display="0">
-              <mi>sin</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mfrac>
-                <mrow>
-                  <mn>13</mn>
-                  <mi>蟺</mi>
-                </mrow>
-                <mn>6</mn>
-              </mfrac>
-            </math>锛涳紙2锛�
-            <math display="0">
-              <mi>cos</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
-                <mo>鈭�</mo>
+              锛�1锛�
+              <math display="0">
+                <mi>sin</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
                 <mfrac>
                   <mrow>
-                    <mn>5</mn>
+                    <mn>13</mn>
                     <mi>蟺</mi>
                   </mrow>
-                  <mn>3</mn>
+                  <mn>6</mn>
                 </mfrac>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-            </math>锛涳紙3锛� tan 405掳.
-          </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>锛�1锛�<math display="0">
-              <mi>sin</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mfrac>
-                <mrow>
-                  <mn>13</mn>
-                  <mi>蟺</mi>
+              </math>锛涳紙2锛�
+              <math display="0">
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mo>鈭�</mo>
+                  <mfrac>
+                    <mrow>
+                      <mn>5</mn>
+                      <mi>蟺</mi>
+                    </mrow>
+                    <mn>3</mn>
+                  </mfrac>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
                 </mrow>
-                <mn>6</mn>
-              </mfrac>
-              <mo>=</mo>
-              <mi>sin</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
+              </math>锛涳紙3锛� tan 405掳.
+            </p>
+          <div v-if="isShowAnswer26" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>锛�1锛�<math display="0">
+                <mi>sin</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mfrac>
+                  <mrow>
+                    <mn>13</mn>
+                    <mi>蟺</mi>
+                  </mrow>
+                  <mn>6</mn>
+                </mfrac>
+                <mo>=</mo>
+                <mi>sin</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mfrac>
+                    <mi>蟺</mi>
+                    <mn>6</mn>
+                  </mfrac>
+                  <mo>+</mo>
+                  <mn>2</mn>
+                  <mi>蟺</mi>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+                <mo>=</mo>
+                <mi>sin</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
                 <mfrac>
                   <mi>蟺</mi>
                   <mn>6</mn>
                 </mfrac>
-                <mo>+</mo>
-                <mn>2</mn>
-                <mi>蟺</mi>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-              <mo>=</mo>
-              <mi>sin</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mfrac>
-                <mi>蟺</mi>
-                <mn>6</mn>
-              </mfrac>
-              <mo>=</mo>
-              <mfrac>
-                <mn>1</mn>
-                <mn>2</mn>
-              </mfrac>
-            </math>锛�
-          </p>
-          <p>
-            锛�2锛�
-            <math display="0">
-              <mi>cos</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
-                <mo>鈭�</mo>
+                <mo>=</mo>
                 <mfrac>
-                  <mrow>
-                    <mn>5</mn>
-                    <mi>蟺</mi>
-                  </mrow>
-                  <mn>3</mn>
+                  <mn>1</mn>
+                  <mn>2</mn>
                 </mfrac>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-              <mo>=</mo>
-              <mi>cos</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
+              </math>锛�
+            </p>
+            <p>
+              锛�2锛�
+              <math display="0">
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mo>鈭�</mo>
+                  <mfrac>
+                    <mrow>
+                      <mn>5</mn>
+                      <mi>蟺</mi>
+                    </mrow>
+                    <mn>3</mn>
+                  </mfrac>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+                <mo>=</mo>
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mfrac>
+                    <mi>蟺</mi>
+                    <mn>3</mn>
+                  </mfrac>
+                  <mo>鈭�</mo>
+                  <mn>2</mn>
+                  <mi>蟺</mi>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+                <mo>=</mo>
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
                 <mfrac>
                   <mi>蟺</mi>
                   <mn>3</mn>
                 </mfrac>
-                <mo>鈭�</mo>
-                <mn>2</mn>
-                <mi>蟺</mi>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-              <mo>=</mo>
-              <mi>cos</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mfrac>
-                <mi>蟺</mi>
-                <mn>3</mn>
-              </mfrac>
-              <mo>=</mo>
-              <mfrac>
-                <mn>1</mn>
-                <mn>2</mn>
-              </mfrac>
-            </math>锛�
-          </p>
-          <p>锛�3锛� tan405掳=tan锛�45掳+360掳锛�=tan45掳=1.</p>
+                <mo>=</mo>
+                <mfrac>
+                  <mn>1</mn>
+                  <mn>2</mn>
+                </mfrac>
+              </math>锛�
+            </p>
+            <p>锛�3锛� tan405掳=tan锛�45掳+360掳锛�=tan45掳=1.</p>
+          </div>
           <p class="left">
             <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
           </p>
@@ -3696,8 +3969,15 @@
           </li>
         </ul>
         <div class="padding-116">
-          <p>
-            <span class="zt-ls"><b>渚�2</b></span>銆�姹備笅鍒椾笁瑙掑嚱鏁扮殑鍊�.
+          <p class="p-btn" >
+            <span><span class="zt-ls"><b>渚�2</b></span>銆�姹備笅鍒椾笁瑙掑嚱鏁扮殑鍊�. </span>
+            <span class="btn-box" @click="hadleAnswer(27)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
           <p>
             锛�1锛� sin 225掳锛涳紙2锛�
@@ -3713,190 +3993,192 @@
               </mfrac>
             </math>锛涳紙3锛� tan 570掳.
           </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>锛�1锛�<math display="0">
-              <mi>sin</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <msup>
-                <mn>225</mn>
-                <mrow>
-                  <mo>鈭�</mo>
-                </mrow>
-              </msup>
-              <mo>=</mo>
-              <mi>sin</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
+          <div v-if="isShowAnswer27" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>锛�1锛�<math display="0">
+                <mi>sin</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
                 <msup>
-                  <mn>180</mn>
+                  <mn>225</mn>
                   <mrow>
                     <mo>鈭�</mo>
                   </mrow>
                 </msup>
-                <mo>+</mo>
+                <mo>=</mo>
+                <mi>sin</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <msup>
+                    <mn>180</mn>
+                    <mrow>
+                      <mo>鈭�</mo>
+                    </mrow>
+                  </msup>
+                  <mo>+</mo>
+                  <msup>
+                    <mn>45</mn>
+                    <mrow>
+                      <mo>鈭�</mo>
+                    </mrow>
+                  </msup>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+                <mo>=</mo>
+                <mo>鈭�</mo>
+                <mi>sin</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
                 <msup>
                   <mn>45</mn>
                   <mrow>
                     <mo>鈭�</mo>
                   </mrow>
                 </msup>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-              <mo>=</mo>
-              <mo>鈭�</mo>
-              <mi>sin</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <msup>
-                <mn>45</mn>
-                <mrow>
-                  <mo>鈭�</mo>
-                </mrow>
-              </msup>
-              <mo>=</mo>
-              <mo>鈭�</mo>
-              <mfrac>
-                <msqrt>
+                <mo>=</mo>
+                <mo>鈭�</mo>
+                <mfrac>
+                  <msqrt>
+                    <mn>2</mn>
+                  </msqrt>
                   <mn>2</mn>
-                </msqrt>
-                <mn>2</mn>
-              </mfrac>
-            </math>锛�
-          </p>
-          <p>
-            銆�锛�2锛�<math display="0">
-              <mi>cos</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mfrac>
-                <mrow>
-                  <mn>4</mn>
+                </mfrac>
+              </math>锛�
+            </p>
+            <p>
+              銆�锛�2锛�<math display="0">
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mfrac>
+                  <mrow>
+                    <mn>4</mn>
+                    <mi>蟺</mi>
+                  </mrow>
+                  <mn>3</mn>
+                </mfrac>
+                <mo>=</mo>
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
                   <mi>蟺</mi>
+                  <mo>+</mo>
+                  <mfrac>
+                    <mi>蟺</mi>
+                    <mn>3</mn>
+                  </mfrac>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
                 </mrow>
-                <mn>3</mn>
-              </mfrac>
-              <mo>=</mo>
-              <mi>cos</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
-                <mi>蟺</mi>
-                <mo>+</mo>
+                <mo>=</mo>
+                <mo>鈭�</mo>
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
                 <mfrac>
                   <mi>蟺</mi>
                   <mn>3</mn>
                 </mfrac>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-              <mo>=</mo>
-              <mo>鈭�</mo>
-              <mi>cos</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mfrac>
-                <mi>蟺</mi>
-                <mn>3</mn>
-              </mfrac>
-              <mo>=</mo>
-              <mo>鈭�</mo>
-              <mfrac>
-                <mn>1</mn>
-                <mn>2</mn>
-              </mfrac>
-            </math>锛�
-          </p>
-          <p>
-            銆�锛�3锛�<math display="0">
-              <mtable displaystyle="true"
-                columnalign="right left right left right left right left right left right left"
-                columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" rowspacing="3pt">
-                <mtr>
-                  <mtd>
-                    <mi>tan</mi>
-                    <mo data-mjx-texclass="NONE">鈦�</mo>
-                    <msup>
-                      <mn>570</mn>
-                      <mrow>
-                        <mo>鈭�</mo>
+                <mo>=</mo>
+                <mo>鈭�</mo>
+                <mfrac>
+                  <mn>1</mn>
+                  <mn>2</mn>
+                </mfrac>
+              </math>锛�
+            </p>
+            <p>
+              銆�锛�3锛�<math display="0">
+                <mtable displaystyle="true"
+                  columnalign="right left right left right left right left right left right left"
+                  columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" rowspacing="3pt">
+                  <mtr>
+                    <mtd>
+                      <mi>tan</mi>
+                      <mo data-mjx-texclass="NONE">鈦�</mo>
+                      <msup>
+                        <mn>570</mn>
+                        <mrow>
+                          <mo>鈭�</mo>
+                        </mrow>
+                      </msup>
+                    </mtd>
+                    <mtd>
+                      <mi></mi>
+                      <mo>=</mo>
+                      <mi>tan</mi>
+                      <mo data-mjx-texclass="NONE">鈦�</mo>
+                      <mrow data-mjx-texclass="INNER">
+                        <mo data-mjx-texclass="OPEN">(</mo>
+                        <msup>
+                          <mn>210</mn>
+                          <mrow>
+                            <mo>鈭�</mo>
+                          </mrow>
+                        </msup>
+                        <mo>+</mo>
+                        <msup>
+                          <mn>360</mn>
+                          <mrow>
+                            <mo>鈭�</mo>
+                          </mrow>
+                        </msup>
+                        <mo data-mjx-texclass="CLOSE">)</mo>
                       </mrow>
-                    </msup>
-                  </mtd>
-                  <mtd>
-                    <mi></mi>
-                    <mo>=</mo>
-                    <mi>tan</mi>
-                    <mo data-mjx-texclass="NONE">鈦�</mo>
-                    <mrow data-mjx-texclass="INNER">
-                      <mo data-mjx-texclass="OPEN">(</mo>
+                      <mo>=</mo>
+                      <mi>tan</mi>
+                      <mo data-mjx-texclass="NONE">鈦�</mo>
                       <msup>
                         <mn>210</mn>
                         <mrow>
                           <mo>鈭�</mo>
                         </mrow>
                       </msup>
-                      <mo>+</mo>
-                      <msup>
-                        <mn>360</mn>
-                        <mrow>
-                          <mo>鈭�</mo>
-                        </mrow>
-                      </msup>
-                      <mo data-mjx-texclass="CLOSE">)</mo>
-                    </mrow>
-                    <mo>=</mo>
-                    <mi>tan</mi>
-                    <mo data-mjx-texclass="NONE">鈦�</mo>
-                    <msup>
-                      <mn>210</mn>
-                      <mrow>
-                        <mo>鈭�</mo>
+                      <mo>=</mo>
+                      <mi>tan</mi>
+                      <mo data-mjx-texclass="NONE">鈦�</mo>
+                      <mrow data-mjx-texclass="INNER">
+                        <mo data-mjx-texclass="OPEN">(</mo>
+                        <msup>
+                          <mn>180</mn>
+                          <mrow>
+                            <mo>鈭�</mo>
+                          </mrow>
+                        </msup>
+                        <mo>+</mo>
+                        <msup>
+                          <mn>30</mn>
+                          <mrow>
+                            <mo>鈭�</mo>
+                          </mrow>
+                        </msup>
+                        <mo data-mjx-texclass="CLOSE">)</mo>
                       </mrow>
-                    </msup>
-                    <mo>=</mo>
-                    <mi>tan</mi>
-                    <mo data-mjx-texclass="NONE">鈦�</mo>
-                    <mrow data-mjx-texclass="INNER">
-                      <mo data-mjx-texclass="OPEN">(</mo>
-                      <msup>
-                        <mn>180</mn>
-                        <mrow>
-                          <mo>鈭�</mo>
-                        </mrow>
-                      </msup>
-                      <mo>+</mo>
+                      <mo>=</mo>
+                      <mi>tan</mi>
+                      <mo data-mjx-texclass="NONE">鈦�</mo>
                       <msup>
                         <mn>30</mn>
                         <mrow>
                           <mo>鈭�</mo>
                         </mrow>
                       </msup>
-                      <mo data-mjx-texclass="CLOSE">)</mo>
-                    </mrow>
-                    <mo>=</mo>
-                    <mi>tan</mi>
-                    <mo data-mjx-texclass="NONE">鈦�</mo>
-                    <msup>
-                      <mn>30</mn>
-                      <mrow>
-                        <mo>鈭�</mo>
-                      </mrow>
-                    </msup>
-                  </mtd>
-                </mtr>
-                <mtr>
-                  <mtd></mtd>
-                  <mtd>
-                    <mi></mi>
-                    <mo>=</mo>
-                    <mfrac>
-                      <msqrt>
+                    </mtd>
+                  </mtr>
+                  <mtr>
+                    <mtd></mtd>
+                    <mtd>
+                      <mi></mi>
+                      <mo>=</mo>
+                      <mfrac>
+                        <msqrt>
+                          <mn>3</mn>
+                        </msqrt>
                         <mn>3</mn>
-                      </msqrt>
-                      <mn>3</mn>
-                    </mfrac>
-                  </mtd>
-                </mtr>
-              </mtable>
-            </math>
-          </p>
+                      </mfrac>
+                    </mtd>
+                  </mtr>
+                </mtable>
+              </math>
+            </p>
+          </div>
           <p class="left">
             <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
           </p>
@@ -4113,8 +4395,15 @@
               鍒╃敤鍏紡涓夛紝鍙互鎶婅礋瑙掔殑涓夎鍑芥暟杞寲涓烘瑙掔殑涓夎鍑芥暟.
             </p>
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-          <p>
-            <span class="zt-ls"><b>渚�3</b></span>銆�姹備笅鍒椾笁瑙掑嚱鏁扮殑鍊�.
+          <p class="p-btn" >
+            <span><span class="zt-ls"><b>渚�3</b></span>銆�姹備笅鍒椾笁瑙掑嚱鏁扮殑鍊�.</span>
+            <span class="btn-box" @click="hadleAnswer(28)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
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+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
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           <p>
             锛�1锛� sin锛�-45掳锛夛紱锛�2锛� cos锛�-390掳锛夛紱锛�3锛�
@@ -4133,123 +4422,140 @@
               <mo stretchy="false">)</mo>
             </math>.
           </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>
-          </p>
-          <p class="left1">
-            <math display="">
-              <mo stretchy="false">锛�1锛�</mo>
-              <mi>sin</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
+          <div v-if="isShowAnswer28" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>
+            </p>
+            <p class="left1">
+              <math display="">
+                <mo stretchy="false">锛�1锛�</mo>
+                <mi>sin</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mo>鈭�</mo>
+                  <msup>
+                    <mn>45</mn>
+                    <mrow>
+                      <mo>鈭�</mo>
+                    </mrow>
+                  </msup>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+                <mo>=</mo>
                 <mo>鈭�</mo>
+                <mi>sin</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
                 <msup>
                   <mn>45</mn>
                   <mrow>
                     <mo>鈭�</mo>
                   </mrow>
                 </msup>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-              <mo>=</mo>
-              <mo>鈭�</mo>
-              <mi>sin</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <msup>
-                <mn>45</mn>
-                <mrow>
-                  <mo>鈭�</mo>
-                </mrow>
-              </msup>
-              <mo>=</mo>
-              <mo>鈭�</mo>
-              <mfrac>
-                <msqrt>
-                  <mn>2</mn>
-                </msqrt>
-                <mn>2</mn>
-              </mfrac>
-              <mo>;</mo>
-            </math>
-          </p>
-          <p class="left1">
-            <math display="">
-              <mo stretchy="false">锛�2锛�</mo>
-              <mi>cos</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
+                <mo>=</mo>
                 <mo>鈭�</mo>
+                <mfrac>
+                  <msqrt>
+                    <mn>2</mn>
+                  </msqrt>
+                  <mn>2</mn>
+                </mfrac>
+                <mo>;</mo>
+              </math>
+            </p>
+            <p class="left1">
+              <math display="">
+                <mo stretchy="false">锛�2锛�</mo>
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mo>鈭�</mo>
+                  <msup>
+                    <mn>390</mn>
+                    <mrow>
+                      <mo>鈭�</mo>
+                    </mrow>
+                  </msup>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+                <mo>=</mo>
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
                 <msup>
                   <mn>390</mn>
                   <mrow>
                     <mo>鈭�</mo>
                   </mrow>
                 </msup>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-              <mo>=</mo>
-              <mi>cos</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <msup>
-                <mn>390</mn>
-                <mrow>
-                  <mo>鈭�</mo>
+                <mo>=</mo>
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <msup>
+                    <mn>30</mn>
+                    <mrow>
+                      <mo>鈭�</mo>
+                    </mrow>
+                  </msup>
+                  <mo>+</mo>
+                  <msup>
+                    <mn>360</mn>
+                    <mrow>
+                      <mo>鈭�</mo>
+                    </mrow>
+                  </msup>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
                 </mrow>
-              </msup>
-              <mo>=</mo>
-              <mi>cos</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
+                <mo>=</mo>
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
                 <msup>
                   <mn>30</mn>
                   <mrow>
                     <mo>鈭�</mo>
                   </mrow>
                 </msup>
-                <mo>+</mo>
-                <msup>
-                  <mn>360</mn>
-                  <mrow>
-                    <mo>鈭�</mo>
-                  </mrow>
-                </msup>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-              <mo>=</mo>
-              <mi>cos</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <msup>
-                <mn>30</mn>
-                <mrow>
-                  <mo>鈭�</mo>
-                </mrow>
-              </msup>
-              <mo>=</mo>
-              <mfrac>
-                <msqrt>
-                  <mn>3</mn>
-                </msqrt>
-                <mn>2</mn>
-              </mfrac>
-              <mo>;</mo>
-            </math>
-          </p>
-          <p class="left1">
-            <math display="">
-              <mo stretchy="false">锛�3锛�</mo>
-              <mtable displaystyle="true"
-                columnalign="right left right left right left right left right left right left"
-                columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" rowspacing="3pt">
-                <mtr>
-                  <mtd>
-                    <mi>tan</mi>
-                    <mo data-mjx-texclass="NONE">鈦�</mo>
-                    <mrow data-mjx-texclass="INNER">
-                      <mo data-mjx-texclass="OPEN">(</mo>
+                <mo>=</mo>
+                <mfrac>
+                  <msqrt>
+                    <mn>3</mn>
+                  </msqrt>
+                  <mn>2</mn>
+                </mfrac>
+                <mo>;</mo>
+              </math>
+            </p>
+            <p class="left1">
+              <math display="">
+                <mo stretchy="false">锛�3锛�</mo>
+                <mtable displaystyle="true"
+                  columnalign="right left right left right left right left right left right left"
+                  columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" rowspacing="3pt">
+                  <mtr>
+                    <mtd>
+                      <mi>tan</mi>
+                      <mo data-mjx-texclass="NONE">鈦�</mo>
+                      <mrow data-mjx-texclass="INNER">
+                        <mo data-mjx-texclass="OPEN">(</mo>
+                        <mo>鈭�</mo>
+                        <mfrac>
+                          <mrow>
+                            <mn>16</mn>
+                            <mi>蟺</mi>
+                          </mrow>
+                          <mn>3</mn>
+                        </mfrac>
+                        <mo data-mjx-texclass="CLOSE">)</mo>
+                      </mrow>
+                    </mtd>
+                    <mtd>
+                      <mi></mi>
+                      <mo>=</mo>
                       <mo>鈭�</mo>
+                      <mi>tan</mi>
+                      <mo data-mjx-texclass="NONE">鈦�</mo>
                       <mfrac>
                         <mrow>
                           <mn>16</mn>
@@ -4257,28 +4563,28 @@
                         </mrow>
                         <mn>3</mn>
                       </mfrac>
-                      <mo data-mjx-texclass="CLOSE">)</mo>
-                    </mrow>
-                  </mtd>
-                  <mtd>
-                    <mi></mi>
-                    <mo>=</mo>
-                    <mo>鈭�</mo>
-                    <mi>tan</mi>
-                    <mo data-mjx-texclass="NONE">鈦�</mo>
-                    <mfrac>
-                      <mrow>
-                        <mn>16</mn>
+                      <mo>=</mo>
+                      <mo>鈭�</mo>
+                      <mi>tan</mi>
+                      <mo data-mjx-texclass="NONE">鈦�</mo>
+                      <mrow data-mjx-texclass="INNER">
+                        <mo data-mjx-texclass="OPEN">(</mo>
+                        <mfrac>
+                          <mrow>
+                            <mn>4</mn>
+                            <mi>蟺</mi>
+                          </mrow>
+                          <mn>3</mn>
+                        </mfrac>
+                        <mo>+</mo>
+                        <mn>4</mn>
                         <mi>蟺</mi>
+                        <mo data-mjx-texclass="CLOSE">)</mo>
                       </mrow>
-                      <mn>3</mn>
-                    </mfrac>
-                    <mo>=</mo>
-                    <mo>鈭�</mo>
-                    <mi>tan</mi>
-                    <mo data-mjx-texclass="NONE">鈦�</mo>
-                    <mrow data-mjx-texclass="INNER">
-                      <mo data-mjx-texclass="OPEN">(</mo>
+                      <mo>=</mo>
+                      <mo>鈭�</mo>
+                      <mi>tan</mi>
+                      <mo data-mjx-texclass="NONE">鈦�</mo>
                       <mfrac>
                         <mrow>
                           <mn>4</mn>
@@ -4286,60 +4592,45 @@
                         </mrow>
                         <mn>3</mn>
                       </mfrac>
-                      <mo>+</mo>
-                      <mn>4</mn>
-                      <mi>蟺</mi>
-                      <mo data-mjx-texclass="CLOSE">)</mo>
-                    </mrow>
-                    <mo>=</mo>
-                    <mo>鈭�</mo>
-                    <mi>tan</mi>
-                    <mo data-mjx-texclass="NONE">鈦�</mo>
-                    <mfrac>
-                      <mrow>
-                        <mn>4</mn>
+                    </mtd>
+                  </mtr>
+                  <mtr>
+                    <mtd></mtd>
+                    <mtd>
+                      <mi></mi>
+                      <mo>=</mo>
+                      <mo>鈭�</mo>
+                      <mi>tan</mi>
+                      <mo data-mjx-texclass="NONE">鈦�</mo>
+                      <mrow data-mjx-texclass="INNER">
+                        <mo data-mjx-texclass="OPEN">(</mo>
                         <mi>蟺</mi>
+                        <mo>+</mo>
+                        <mfrac>
+                          <mi>蟺</mi>
+                          <mn>3</mn>
+                        </mfrac>
+                        <mo data-mjx-texclass="CLOSE">)</mo>
                       </mrow>
-                      <mn>3</mn>
-                    </mfrac>
-                  </mtd>
-                </mtr>
-                <mtr>
-                  <mtd></mtd>
-                  <mtd>
-                    <mi></mi>
-                    <mo>=</mo>
-                    <mo>鈭�</mo>
-                    <mi>tan</mi>
-                    <mo data-mjx-texclass="NONE">鈦�</mo>
-                    <mrow data-mjx-texclass="INNER">
-                      <mo data-mjx-texclass="OPEN">(</mo>
-                      <mi>蟺</mi>
-                      <mo>+</mo>
+                      <mo>=</mo>
+                      <mo>鈭�</mo>
+                      <mi>tan</mi>
+                      <mo data-mjx-texclass="NONE">鈦�</mo>
                       <mfrac>
                         <mi>蟺</mi>
                         <mn>3</mn>
                       </mfrac>
-                      <mo data-mjx-texclass="CLOSE">)</mo>
-                    </mrow>
-                    <mo>=</mo>
-                    <mo>鈭�</mo>
-                    <mi>tan</mi>
-                    <mo data-mjx-texclass="NONE">鈦�</mo>
-                    <mfrac>
-                      <mi>蟺</mi>
-                      <mn>3</mn>
-                    </mfrac>
-                    <mo>=</mo>
-                    <mo>鈭�</mo>
-                    <msqrt>
-                      <mn>3</mn>
-                    </msqrt>
-                  </mtd>
-                </mtr>
-              </mtable>
-            </math>
-          </p>
+                      <mo>=</mo>
+                      <mo>鈭�</mo>
+                      <msqrt>
+                        <mn>3</mn>
+                      </msqrt>
+                    </mtd>
+                  </mtr>
+                </mtable>
+              </math>
+            </p>
+          </div>
         </div>
       </div>
     </div>
@@ -4458,8 +4749,15 @@
           <p>
             鍏紡涓�鑷冲叕寮忓洓缁熺О涓轰笁瑙掑嚱鏁扮殑璇卞鍏紡.鍒╃敤杩欎簺鍏紡鍙互鎶婁换鎰忚鐨勪笁瑙掑嚱鏁拌浆鍖栦负閿愯涓夎鍑芥暟.
           </p>
-          <p>
-            <span class="zt-ls"><b>渚�4</b></span>銆�姹備笅鍒椾笁瑙掑嚱鏁扮殑鍊�.
+          <p class="p-btn" >
+            <span><span class="zt-ls"><b>渚�4</b></span>銆�姹備笅鍒椾笁瑙掑嚱鏁扮殑鍊�.</span>
+            <span class="btn-box" @click="hadleAnswer(29)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
           <p>
             锛�1锛� cos 135掳锛涳紙2锛�
@@ -4486,78 +4784,94 @@
               </mfrac>
             </math>.
           </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>
-          </p>
-          <p class="left1">
-            <math display="">
-              <mo stretchy="false">锛�1锛�</mo>
-              <mi>cos</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <msup>
-                <mn>135</mn>
-                <mrow>
-                  <mo>鈭�</mo>
-                </mrow>
-              </msup>
-              <mo>=</mo>
-              <mi>cos</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
+          <div v-if="isShowAnswer29" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>
+            </p>
+            <p class="left1">
+              <math display="">
+                <mo stretchy="false">锛�1锛�</mo>
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
                 <msup>
-                  <mn>180</mn>
+                  <mn>135</mn>
                   <mrow>
                     <mo>鈭�</mo>
                   </mrow>
                 </msup>
+                <mo>=</mo>
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <msup>
+                    <mn>180</mn>
+                    <mrow>
+                      <mo>鈭�</mo>
+                    </mrow>
+                  </msup>
+                  <mo>鈭�</mo>
+                  <msup>
+                    <mn>45</mn>
+                    <mrow>
+                      <mo>鈭�</mo>
+                    </mrow>
+                  </msup>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+                <mo>=</mo>
                 <mo>鈭�</mo>
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
                 <msup>
                   <mn>45</mn>
                   <mrow>
                     <mo>鈭�</mo>
                   </mrow>
                 </msup>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-              <mo>=</mo>
-              <mo>鈭�</mo>
-              <mi>cos</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <msup>
-                <mn>45</mn>
-                <mrow>
-                  <mo>鈭�</mo>
-                </mrow>
-              </msup>
-              <mo>=</mo>
-              <mo>鈭�</mo>
-              <mfrac>
-                <msqrt>
+                <mo>=</mo>
+                <mo>鈭�</mo>
+                <mfrac>
+                  <msqrt>
+                    <mn>2</mn>
+                  </msqrt>
                   <mn>2</mn>
-                </msqrt>
-                <mn>2</mn>
-              </mfrac>
-              <mo>;</mo>
-            </math>
-          </p>
-          <p class="left1">
-            <math display="">
-              <mo stretchy="false">锛�2锛�</mo>
-              <mi>tan</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mfrac>
-                <mrow>
-                  <mn>8</mn>
+                </mfrac>
+                <mo>;</mo>
+              </math>
+            </p>
+            <p class="left1">
+              <math display="">
+                <mo stretchy="false">锛�2锛�</mo>
+                <mi>tan</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mfrac>
+                  <mrow>
+                    <mn>8</mn>
+                    <mi>蟺</mi>
+                  </mrow>
+                  <mn>3</mn>
+                </mfrac>
+                <mo>=</mo>
+                <mi>tan</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mfrac>
+                    <mrow>
+                      <mn>2</mn>
+                      <mi>蟺</mi>
+                    </mrow>
+                    <mn>3</mn>
+                  </mfrac>
+                  <mo>+</mo>
+                  <mn>2</mn>
                   <mi>蟺</mi>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
                 </mrow>
-                <mn>3</mn>
-              </mfrac>
-              <mo>=</mo>
-              <mi>tan</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
+                <mo>=</mo>
+                <mi>tan</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
                 <mfrac>
                   <mrow>
                     <mn>2</mn>
@@ -4565,67 +4879,67 @@
                   </mrow>
                   <mn>3</mn>
                 </mfrac>
-                <mo>+</mo>
-                <mn>2</mn>
-                <mi>蟺</mi>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-              <mo>=</mo>
-              <mi>tan</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mfrac>
-                <mrow>
-                  <mn>2</mn>
+                <mo>=</mo>
+                <mi>tan</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
                   <mi>蟺</mi>
+                  <mo>鈭�</mo>
+                  <mfrac>
+                    <mi>蟺</mi>
+                    <mn>3</mn>
+                  </mfrac>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
                 </mrow>
-                <mn>3</mn>
-              </mfrac>
-              <mo>=</mo>
-              <mi>tan</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
-                <mi>蟺</mi>
+                <mo>=</mo>
                 <mo>鈭�</mo>
+                <mi>tan</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
                 <mfrac>
                   <mi>蟺</mi>
                   <mn>3</mn>
                 </mfrac>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-              <mo>=</mo>
-              <mo>鈭�</mo>
-              <mi>tan</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mfrac>
-                <mi>蟺</mi>
-                <mn>3</mn>
-              </mfrac>
-              <mo>=</mo>
-              <mo>鈭�</mo>
-              <msqrt>
-                <mn>3</mn>
-              </msqrt>
-              <mo>;</mo>
-            </math>
-          </p>
-          <p class="left1">
-            <math display="">
-              <mo stretchy="false">锛�3锛�</mo>
-              <mi>cos</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mfrac>
-                <mrow>
-                  <mn>11</mn>
+                <mo>=</mo>
+                <mo>鈭�</mo>
+                <msqrt>
+                  <mn>3</mn>
+                </msqrt>
+                <mo>;</mo>
+              </math>
+            </p>
+            <p class="left1">
+              <math display="">
+                <mo stretchy="false">锛�3锛�</mo>
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mfrac>
+                  <mrow>
+                    <mn>11</mn>
+                    <mi>蟺</mi>
+                  </mrow>
+                  <mn>4</mn>
+                </mfrac>
+                <mo>=</mo>
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mfrac>
+                    <mrow>
+                      <mn>3</mn>
+                      <mi>蟺</mi>
+                    </mrow>
+                    <mn>4</mn>
+                  </mfrac>
+                  <mo>+</mo>
+                  <mn>2</mn>
                   <mi>蟺</mi>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
                 </mrow>
-                <mn>4</mn>
-              </mfrac>
-              <mo>=</mo>
-              <mi>cos</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
+                <mo>=</mo>
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
                 <mfrac>
                   <mrow>
                     <mn>3</mn>
@@ -4633,226 +4947,223 @@
                   </mrow>
                   <mn>4</mn>
                 </mfrac>
-                <mo>+</mo>
-                <mn>2</mn>
-                <mi>蟺</mi>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-              <mo>=</mo>
-              <mi>cos</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mfrac>
-                <mrow>
-                  <mn>3</mn>
+                <mo>=</mo>
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
                   <mi>蟺</mi>
+                  <mo>鈭�</mo>
+                  <mfrac>
+                    <mi>蟺</mi>
+                    <mn>4</mn>
+                  </mfrac>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
                 </mrow>
-                <mn>4</mn>
-              </mfrac>
-              <mo>=</mo>
-              <mi>cos</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
-                <mi>蟺</mi>
+                <mo>=</mo>
                 <mo>鈭�</mo>
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
                 <mfrac>
                   <mi>蟺</mi>
                   <mn>4</mn>
                 </mfrac>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-              <mo>=</mo>
-              <mo>鈭�</mo>
-              <mi>cos</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mfrac>
-                <mi>蟺</mi>
-                <mn>4</mn>
-              </mfrac>
-              <mo>=</mo>
-              <mo>鈭�</mo>
-              <mfrac>
-                <msqrt>
+                <mo>=</mo>
+                <mo>鈭�</mo>
+                <mfrac>
+                  <msqrt>
+                    <mn>2</mn>
+                  </msqrt>
                   <mn>2</mn>
-                </msqrt>
-                <mn>2</mn>
-              </mfrac>
-              <mo>.</mo>
-            </math>
-          </p>
-          <p>
-            <span class="zt-ls"><b>渚�5</b></span>銆�鍖栫畝锛�<math display="0">
-              <mfrac>
-                <mrow>
-                  <mi>sin</mi>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mo stretchy="false">(</mo>
-                  <mn>2</mn>
-                  <mi>蟺</mi>
-                  <mo>鈭�</mo>
-                  <mi>伪</mi>
-                  <mo stretchy="false">)</mo>
-                  <mo>鈰�</mo>
-                  <mi>sin</mi>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mo stretchy="false">(</mo>
-                  <mn>3</mn>
-                  <mi>蟺</mi>
-                  <mo>+</mo>
-                  <mi>伪</mi>
-                  <mo stretchy="false">)</mo>
-                </mrow>
-                <mrow>
-                  <mi>cos</mi>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mo stretchy="false">(</mo>
-                  <mo>鈭�</mo>
-                  <mi>蟺</mi>
-                  <mo>+</mo>
-                  <mi>伪</mi>
-                  <mo stretchy="false">)</mo>
-                  <mo>鈰�</mo>
-                  <mi>cos</mi>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mo stretchy="false">(</mo>
-                  <mn>3</mn>
-                  <mi>蟺</mi>
-                  <mo>鈭�</mo>
-                  <mi>伪</mi>
-                  <mo stretchy="false">)</mo>
-                  <mo>鈰�</mo>
-                  <mi>tan</mi>
-                  <mo data-mjx-texclass="NONE">鈦�</mo>
-                  <mo stretchy="false">(</mo>
-                  <mo>鈭�</mo>
-                  <mi>伪</mi>
-                  <mo>鈭�</mo>
-                  <mi>蟺</mi>
-                  <mo stretchy="false">)</mo>
-                </mrow>
-              </mfrac>
-            </math>
-          </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>
-          </p>
-          <p class="left1">
-            <math display="">
-              <mtable displaystyle="true"
-                columnalign="right left right left right left right left right left right left"
-                columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" rowspacing="3pt">
-                <mtr>
-                  <mtd>
-                    <mtext>&nbsp;鍘熷紡&nbsp;</mtext>
-                  </mtd>
-                  <mtd>
-                    <mi></mi>
-                    <mo>=</mo>
-                    <mfrac>
-                      <mrow>
-                        <mo>鈭�</mo>
-                        <mi>sin</mi>
-                        <mo data-mjx-texclass="NONE">鈦�</mo>
-                        <mi>伪</mi>
-                        <mo>鈰�</mo>
-                        <mo stretchy="false">(</mo>
-                        <mo>鈭�</mo>
-                        <mi>sin</mi>
-                        <mo data-mjx-texclass="NONE">鈦�</mo>
-                        <mi>伪</mi>
-                        <mo stretchy="false">)</mo>
-                      </mrow>
-                      <mrow>
-                        <mo>鈭�</mo>
-                        <mi>cos</mi>
-                        <mo data-mjx-texclass="NONE">鈦�</mo>
-                        <mi>伪</mi>
-                        <mo stretchy="false">(</mo>
-                        <mo>鈭�</mo>
-                        <mi>cos</mi>
-                        <mo data-mjx-texclass="NONE">鈦�</mo>
-                        <mi>伪</mi>
-                        <mo stretchy="false">)</mo>
-                        <mo stretchy="false">(</mo>
-                        <mo>鈭�</mo>
-                        <mi>tan</mi>
-                        <mo data-mjx-texclass="NONE">鈦�</mo>
-                        <mi>伪</mi>
-                        <mo stretchy="false">)</mo>
-                      </mrow>
-                    </mfrac>
-                  </mtd>
-                </mtr>
-                <mtr>
-                  <mtd></mtd>
-                  <mtd>
-                    <mi></mi>
-                    <mo>=</mo>
+                </mfrac>
+                <mo>.</mo>
+              </math>
+            </p>
+          </div>
+          <p class="p-btn" >
+            <span>
+              <span class="zt-ls"><b>渚�5</b></span>銆�鍖栫畝锛�<math display="0">
+                <mfrac>
+                  <mrow>
+                    <mi>sin</mi>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mo stretchy="false">(</mo>
+                    <mn>2</mn>
+                    <mi>蟺</mi>
                     <mo>鈭�</mo>
-                    <mfrac>
-                      <mrow>
-                        <mi>sin</mi>
-                        <mo data-mjx-texclass="NONE">鈦�</mo>
-                        <mi>伪</mi>
-                        <mo>鈰�</mo>
-                        <mi>sin</mi>
-                        <mo data-mjx-texclass="NONE">鈦�</mo>
-                        <mi>伪</mi>
-                      </mrow>
-                      <mrow>
-                        <mi>cos</mi>
-                        <mo data-mjx-texclass="NONE">鈦�</mo>
-                        <mi>伪</mi>
-                        <mo>鈰�</mo>
-                        <mi>cos</mi>
-                        <mo data-mjx-texclass="NONE">鈦�</mo>
-                        <mi>伪</mi>
-                        <mo>鈰�</mo>
-                        <mfrac>
-                          <mrow>
-                            <mi>sin</mi>
-                            <mo data-mjx-texclass="NONE">鈦�</mo>
-                            <mi>伪</mi>
-                          </mrow>
-                          <mrow>
-                            <mi>cos</mi>
-                            <mo data-mjx-texclass="NONE">鈦�</mo>
-                            <mi>伪</mi>
-                          </mrow>
-                        </mfrac>
-                      </mrow>
-                    </mfrac>
-                  </mtd>
-                </mtr>
-                <mtr>
-                  <mtd></mtd>
-                  <mtd>
-                    <mi></mi>
-                    <mo>=</mo>
+                    <mi>伪</mi>
+                    <mo stretchy="false">)</mo>
+                    <mo>鈰�</mo>
+                    <mi>sin</mi>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mo stretchy="false">(</mo>
+                    <mn>3</mn>
+                    <mi>蟺</mi>
+                    <mo>+</mo>
+                    <mi>伪</mi>
+                    <mo stretchy="false">)</mo>
+                  </mrow>
+                  <mrow>
+                    <mi>cos</mi>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mo stretchy="false">(</mo>
                     <mo>鈭�</mo>
-                    <mfrac>
-                      <mrow>
-                        <mi>sin</mi>
-                        <mo data-mjx-texclass="NONE">鈦�</mo>
-                        <mi>伪</mi>
-                      </mrow>
-                      <mrow>
-                        <mi>cos</mi>
-                        <mo data-mjx-texclass="NONE">鈦�</mo>
-                        <mi>伪</mi>
-                      </mrow>
-                    </mfrac>
-                    <mo>=</mo>
+                    <mi>蟺</mi>
+                    <mo>+</mo>
+                    <mi>伪</mi>
+                    <mo stretchy="false">)</mo>
+                    <mo>鈰�</mo>
+                    <mi>cos</mi>
+                    <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mo stretchy="false">(</mo>
+                    <mn>3</mn>
+                    <mi>蟺</mi>
                     <mo>鈭�</mo>
+                    <mi>伪</mi>
+                    <mo stretchy="false">)</mo>
+                    <mo>鈰�</mo>
                     <mi>tan</mi>
                     <mo data-mjx-texclass="NONE">鈦�</mo>
+                    <mo stretchy="false">(</mo>
+                    <mo>鈭�</mo>
                     <mi>伪</mi>
-                    <mo>.</mo>
-                  </mtd>
-                </mtr>
-              </mtable>
-            </math>
+                    <mo>鈭�</mo>
+                    <mi>蟺</mi>
+                    <mo stretchy="false">)</mo>
+                  </mrow>
+                </mfrac>
+              </math>
+            </span>
+            <span class="btn-box" @click="hadleAnswer(30)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
+          <div v-if="isShowAnswer30" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>
+            </p>
+            <p class="left1">
+              <math display="">
+                <mtable displaystyle="true"
+                  columnalign="right left right left right left right left right left right left"
+                  columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" rowspacing="3pt">
+                  <mtr>
+                    <mtd>
+                      <mtext>&nbsp;鍘熷紡&nbsp;</mtext>
+                    </mtd>
+                    <mtd>
+                      <mi></mi>
+                      <mo>=</mo>
+                      <mfrac>
+                        <mrow>
+                          <mo>鈭�</mo>
+                          <mi>sin</mi>
+                          <mo data-mjx-texclass="NONE">鈦�</mo>
+                          <mi>伪</mi>
+                          <mo>鈰�</mo>
+                          <mo stretchy="false">(</mo>
+                          <mo>鈭�</mo>
+                          <mi>sin</mi>
+                          <mo data-mjx-texclass="NONE">鈦�</mo>
+                          <mi>伪</mi>
+                          <mo stretchy="false">)</mo>
+                        </mrow>
+                        <mrow>
+                          <mo>鈭�</mo>
+                          <mi>cos</mi>
+                          <mo data-mjx-texclass="NONE">鈦�</mo>
+                          <mi>伪</mi>
+                          <mo stretchy="false">(</mo>
+                          <mo>鈭�</mo>
+                          <mi>cos</mi>
+                          <mo data-mjx-texclass="NONE">鈦�</mo>
+                          <mi>伪</mi>
+                          <mo stretchy="false">)</mo>
+                          <mo stretchy="false">(</mo>
+                          <mo>鈭�</mo>
+                          <mi>tan</mi>
+                          <mo data-mjx-texclass="NONE">鈦�</mo>
+                          <mi>伪</mi>
+                          <mo stretchy="false">)</mo>
+                        </mrow>
+                      </mfrac>
+                    </mtd>
+                  </mtr>
+                  <mtr>
+                    <mtd></mtd>
+                    <mtd>
+                      <mi></mi>
+                      <mo>=</mo>
+                      <mo>鈭�</mo>
+                      <mfrac>
+                        <mrow>
+                          <mi>sin</mi>
+                          <mo data-mjx-texclass="NONE">鈦�</mo>
+                          <mi>伪</mi>
+                          <mo>鈰�</mo>
+                          <mi>sin</mi>
+                          <mo data-mjx-texclass="NONE">鈦�</mo>
+                          <mi>伪</mi>
+                        </mrow>
+                        <mrow>
+                          <mi>cos</mi>
+                          <mo data-mjx-texclass="NONE">鈦�</mo>
+                          <mi>伪</mi>
+                          <mo>鈰�</mo>
+                          <mi>cos</mi>
+                          <mo data-mjx-texclass="NONE">鈦�</mo>
+                          <mi>伪</mi>
+                          <mo>鈰�</mo>
+                          <mfrac>
+                            <mrow>
+                              <mi>sin</mi>
+                              <mo data-mjx-texclass="NONE">鈦�</mo>
+                              <mi>伪</mi>
+                            </mrow>
+                            <mrow>
+                              <mi>cos</mi>
+                              <mo data-mjx-texclass="NONE">鈦�</mo>
+                              <mi>伪</mi>
+                            </mrow>
+                          </mfrac>
+                        </mrow>
+                      </mfrac>
+                    </mtd>
+                  </mtr>
+                  <mtr>
+                    <mtd></mtd>
+                    <mtd>
+                      <mi></mi>
+                      <mo>=</mo>
+                      <mo>鈭�</mo>
+                      <mfrac>
+                        <mrow>
+                          <mi>sin</mi>
+                          <mo data-mjx-texclass="NONE">鈦�</mo>
+                          <mi>伪</mi>
+                        </mrow>
+                        <mrow>
+                          <mi>cos</mi>
+                          <mo data-mjx-texclass="NONE">鈦�</mo>
+                          <mi>伪</mi>
+                        </mrow>
+                      </mfrac>
+                      <mo>=</mo>
+                      <mo>鈭�</mo>
+                      <mi>tan</mi>
+                      <mo data-mjx-texclass="NONE">鈦�</mo>
+                      <mi>伪</mi>
+                      <mo>.</mo>
+                    </mtd>
+                  </mtr>
+                </mtable>
+              </math>
+            </p>
+          </div>
           <p><b>褰掔撼鎬荤粨</b></p>
           <p>
             鍒╃敤璇卞鍏紡锛屾妸浠绘剰瑙掔殑涓夎鍑芥暟鍊艰浆鍖栦负閿愯鐨勪笁瑙掑嚱鏁板�肩殑涓�鑸楠や负锛�
@@ -4871,7 +5182,7 @@
             <p>绗簲鍗曞厓 涓夎鍑芥暟</p>
           </li>
           <li>
-            <p><span>185</span></p>
+            <p><span>185-186</span></p>
           </li>
         </ul>
         <div class="padding-116">
@@ -4905,121 +5216,146 @@
           <p>
             <span class="zt-ls"><b>渚�6</b></span>銆�鍒╃敤绉戝璁$畻鍣ㄨ绠�.锛堢粨鏋滅簿纭埌0.01锛�
           </p>
-          <p>
-            锛�1锛� sin 63掳52鈥�41鈥筹紱锛�2锛�<math display="0">
-              <mi>cos</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mfrac>
-                <mrow>
-                  <mn>4</mn>
-                  <mi>蟺</mi>
-                </mrow>
-                <mn>3</mn>
-              </mfrac>
-            </math>锛涳紙3锛�
-            <math display="0">
-              <mi>tan</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
-                <mo>鈭�</mo>
+          <p class="p-btn" >
+            <span>锛�1锛� sin 63掳52鈥�41鈥筹紱</span>
+            <span class="btn-box" @click="hadleAnswer(31)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <div v-if="isShowAnswer31" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>锛�1锛�
+              鍏堝皢绮剧‘搴﹁缃负0.01锛屽啀灏嗙瀛﹁绠楀櫒璁剧疆涓鸿搴﹁绠楁ā寮忥紝鐒跺悗渚濇鎸変笅鍒楀悇閿細
+            </p>
+            <p class="center">
+              <img class="img-c" alt="" src="../../assets/images/0197-1.jpg" />
+            </p>
+            <p>缁撴灉鏄剧ず锛�</p>
+            <p class="center">
+              <img class="img-c" alt="" src="../../assets/images/0197-2.jpg" />
+            </p>
+            <p>鎵�浠� sin 63掳52鈥�41鈥斥増0.90.</p>
+          </div>
+          <p class="p-btn" >
+            <span>
+              锛�2锛�<math display="0">
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
                 <mfrac>
                   <mrow>
-                    <mn>6</mn>
+                    <mn>4</mn>
                     <mi>蟺</mi>
                   </mrow>
-                  <mn>5</mn>
+                  <mn>3</mn>
                 </mfrac>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-            </math>.
+              </math>锛�
+            </span>
+            <span class="btn-box" @click="hadleAnswer(32)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-        </div>
-      </div>
-    </div>
-    <!-- 186 -->
-    <div class="page-box" page="193">
-      <div v-if="showPageList.indexOf(193) > -1">
-        <ul class="page-header-odd fl al-end">
-          <li>186</li>
-          <li>鏁板.鍩虹妯″潡</li>
-          <li>涓婂唽</li>
-        </ul>
-        <div class="padding-116">
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>锛�1锛�
-            鍏堝皢绮剧‘搴﹁缃负0.01锛屽啀灏嗙瀛﹁绠楀櫒璁剧疆涓鸿搴﹁绠楁ā寮忥紝鐒跺悗渚濇鎸変笅鍒楀悇閿細
-          </p>
-          <p class="center">
-            <img class="img-c" alt="" src="../../assets/images/0197-1.jpg" />
-          </p>
-          <p>缁撴灉鏄剧ず锛�</p>
-          <p class="center">
-            <img class="img-c" alt="" src="../../assets/images/0197-2.jpg" />
-          </p>
-          <p>鎵�浠� sin 63掳52鈥�41鈥斥増0.90.</p>
-          <p>
-            锛�2锛�
-            鍏堝皢绮剧‘搴﹁缃负0.01锛屽啀灏嗙瀛﹁绠楀櫒璁剧疆涓哄姬搴﹁绠楁ā寮忥紝鐒跺悗渚濇鎸変笅鍒楀悇閿細
-          </p>
-          <p class="center">
-            <img class="img-c" alt="" src="../../assets/images/0197-3.jpg" />
-          </p>
-          <p>缁撴灉鏄剧ず锛�</p>
-          <p class="center">
-            <img class="img-c" alt="" src="../../assets/images/0197-4.jpg" />
-          </p>
-          <p>
-            鎵�浠�
-            <math display="0">
-              <mi>cos</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mfrac>
-                <mrow>
-                  <mn>4</mn>
-                  <mi>蟺</mi>
-                </mrow>
-                <mn>3</mn>
-              </mfrac>
-              <mo>=</mo>
-              <mo>鈭�</mo>
-              <mn>0.50</mn>
-              <mo>.</mo>
-            </math>
-          </p>
-          <p>
-            锛�3锛�
-            鍏堝皢绮剧‘搴﹁缃负0.01锛屽啀灏嗙瀛﹁绠楀櫒璁剧疆涓哄姬搴﹁绠楁ā寮忥紝鐒跺悗渚濇鎸変笅鍒楀悇閿細
-          </p>
-          <p class="center">
-            <img class="img-c" alt="" src="../../assets/images/0197-6.jpg" />
-          </p>
-          <p>缁撴灉鏄剧ず锛�</p>
-          <p class="center">
-            <img class="img-c" alt="" src="../../assets/images/0197-7.jpg" />
-          </p>
-          <p>
-            鎵�浠�<math display="0">
-              <mi>tan</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
-                <mo>鈭�</mo>
+          <div v-if="isShowAnswer32" > 
+            <p>
+              锛�2锛�
+              鍏堝皢绮剧‘搴﹁缃负0.01锛屽啀灏嗙瀛﹁绠楀櫒璁剧疆涓哄姬搴﹁绠楁ā寮忥紝鐒跺悗渚濇鎸変笅鍒楀悇閿細
+            </p>
+            <p class="center">
+              <img class="img-c" alt="" src="../../assets/images/0197-3.jpg" />
+            </p>
+            <p>缁撴灉鏄剧ず锛�</p>
+            <p class="center">
+              <img class="img-c" alt="" src="../../assets/images/0197-4.jpg" />
+            </p>
+            <p>
+              鎵�浠�
+              <math display="0">
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
                 <mfrac>
                   <mrow>
-                    <mn>6</mn>
+                    <mn>4</mn>
                     <mi>蟺</mi>
                   </mrow>
-                  <mn>5</mn>
+                  <mn>3</mn>
                 </mfrac>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-              <mo>鈮�</mo>
-              <mo>鈭�</mo>
-              <mn>0.73</mn>
-              <mo>.</mo>
-            </math>
+                <mo>=</mo>
+                <mo>鈭�</mo>
+                <mn>0.50</mn>
+                <mo>.</mo>
+              </math>
+            </p>
+          </div>
+          <p class="p-btn" >
+            <span>
+              锛�3锛�
+              <math display="0">
+                <mi>tan</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mo>鈭�</mo>
+                  <mfrac>
+                    <mrow>
+                      <mn>6</mn>
+                      <mi>蟺</mi>
+                    </mrow>
+                    <mn>5</mn>
+                  </mfrac>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+              </math>.
+            </span>
+            <span class="btn-box" @click="hadleAnswer(33)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
+          <div v-if="isShowAnswer33" > 
+            <p>
+              锛�3锛�
+              鍏堝皢绮剧‘搴﹁缃负0.01锛屽啀灏嗙瀛﹁绠楀櫒璁剧疆涓哄姬搴﹁绠楁ā寮忥紝鐒跺悗渚濇鎸変笅鍒楀悇閿細
+            </p>
+            <p class="center">
+              <img class="img-c" alt="" src="../../assets/images/0197-6.jpg" />
+            </p>
+            <p>缁撴灉鏄剧ず锛�</p>
+            <p class="center">
+              <img class="img-c" alt="" src="../../assets/images/0197-7.jpg" />
+            </p>
+            <p>
+              鎵�浠�<math display="0">
+                <mi>tan</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mo>鈭�</mo>
+                  <mfrac>
+                    <mrow>
+                      <mn>6</mn>
+                      <mi>蟺</mi>
+                    </mrow>
+                    <mn>5</mn>
+                  </mfrac>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+                <mo>鈮�</mo>
+                <mo>鈭�</mo>
+                <mn>0.73</mn>
+                <mo>.</mo>
+              </math>
+            </p>
+          </div>
           <p class="left">
             <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
           </p>
@@ -5029,6 +5365,9 @@
           </div>
         </div>
       </div>
+    </div>
+    <!-- 186 -->
+    <div class="page-box hidePage" page="193">
     </div>
     <!-- 187 -->
     <div class="page-box" page="194">
@@ -5230,33 +5569,59 @@
           <p>
             <span class="zt-ls"><b>渚�1</b></span>銆�鐢ㄢ�滀簲鐐规硶鈥濈敾鍑轰笅鍒楀嚱鏁板湪鍖洪棿锛�0锛�2蟺锛藉唴鐨勭畝鍥�.
           </p>
-          <p>锛�1锛� <i>y</i>=-sin<i>x</i>锛涳紙2锛� <i>y</i>=1+sin<i>x</i>.</p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍒楄〃锛堣〃5-6锛�.
+          <p class="p-btn" >
+            <span>
+              锛�1锛� <i>y</i>=-sin<i>x</i>锛�
+            </span>
+            <span class="btn-box" @click="hadleAnswer(34)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p class="img">琛�5-6</p>
-          <p class="center">
-            <img class="img-a" alt="" src="../../assets/images/0201-2.jpg" />
+          <div v-if="isShowAnswer34" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍒楄〃锛堣〃5-6锛�.
+            </p>
+            <p class="img">琛�5-6</p>
+            <p class="center">
+              <img class="img-a" alt="" src="../../assets/images/0201-2.jpg" />
+            </p>
+            <p>
+              鎻忕偣杩炵嚎寰�<i>y</i>=-sin<i>x</i>鍦ㄥ尯闂达蓟0锛�2蟺锛藉唴鐨勭畝鍥撅紝濡傚浘5-27鎵�绀�.
+            </p>
+            <p class="center">
+              <img class="img-d" alt="" src="../../assets/images/0201-3.jpg" />
+            </p>
+            <p class="img">鍥�5-27</p>
+          </div>
+          <p class="p-btn" >
+            <span>锛�2锛� <i>y</i>=1+sin<i>x</i>.</span>
+            <span class="btn-box" @click="hadleAnswer(35)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p>
-            鎻忕偣杩炵嚎寰�<i>y</i>=-sin<i>x</i>鍦ㄥ尯闂达蓟0锛�2蟺锛藉唴鐨勭畝鍥撅紝濡傚浘5-27鎵�绀�.
-          </p>
-          <p class="center">
-            <img class="img-d" alt="" src="../../assets/images/0201-3.jpg" />
-          </p>
-          <p class="img">鍥�5-27</p>
-          <p>锛�2锛� 鍒楄〃锛堣〃5-7锛�.</p>
-          <p class="img">琛�5-7</p>
-          <p class="center">
-            <img class="img-a" alt="" src="../../assets/images/0201-4.jpg" />
-          </p>
-          <p>
-            鎻忕偣杩炵嚎寰�<i>y</i>=1+sin<i>x</i>鍦ㄥ尯闂达蓟0锛�2蟺锛藉唴鐨勭畝鍥撅紝濡傚浘5-28鎵�绀�.
-          </p>
-          <p class="center">
-            <img class="img-d" alt="" src="../../assets/images/0201-5.jpg" />
-          </p>
-          <p class="img">鍥�5-28</p>
+          <div v-if="isShowAnswer35" > 
+            <p>锛�2锛� 鍒楄〃锛堣〃5-7锛�.</p>
+            <p class="img">琛�5-7</p>
+            <p class="center">
+              <img class="img-a" alt="" src="../../assets/images/0201-4.jpg" />
+            </p>
+            <p>
+              鎻忕偣杩炵嚎寰�<i>y</i>=1+sin<i>x</i>鍦ㄥ尯闂达蓟0锛�2蟺锛藉唴鐨勭畝鍥撅紝濡傚浘5-28鎵�绀�.
+            </p>
+            <p class="center">
+              <img class="img-d" alt="" src="../../assets/images/0201-5.jpg" />
+            </p>
+            <p class="img">鍥�5-28</p>
+          </div>
+          <iframe src="https://www.geogebra.org/calculator" frameborder="0" class="iframe-box"></iframe>
         </div>
       </div>
     </div>
@@ -5371,177 +5736,215 @@
           <p>
             鍥犱负sin锛�-<i>x</i>锛�=-sin<i>x</i>锛屾墍浠�<i>y</i>=sin<i>x</i>鏄鍑芥暟锛屽叾鍥惧儚鍏充簬鍘熺偣瀵圭О.
           </p>
-          <p>
-            <span class="zt-ls"><b>渚�1</b></span>銆�宸茬煡<math display="0">
-              <mi>sin</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mi>x</mi>
-              <mo>=</mo>
-              <mfrac>
-                <mrow>
-                  <mn>3</mn>
-                  <mo>鈭�</mo>
-                  <mi>a</mi>
-                </mrow>
-                <mn>2</mn>
-              </mfrac>
-            </math>锛屾眰<i>a</i>鐨勫彇鍊艰寖鍥�.
+          <p class="p-btn" >
+            <span>
+                <span class="zt-ls"><b>渚�1</b></span>銆�宸茬煡<math display="0">
+                <mi>sin</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mi>x</mi>
+                <mo>=</mo>
+                <mfrac>
+                  <mrow>
+                    <mn>3</mn>
+                    <mo>鈭�</mo>
+                    <mi>a</mi>
+                  </mrow>
+                  <mn>2</mn>
+                </mfrac>
+              </math>锛屾眰<i>a</i>鐨勫彇鍊艰寖鍥�.
+            </span>
+            <span class="btn-box" @click="hadleAnswer(36)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span> 鍥犱负銆�-1鈮in<i>x</i>鈮�1锛�
-          </p>
-          <p>
-            鎵�浠ャ��<math display="0">
-              <mo>鈭�</mo>
-              <mn>1</mn>
-              <mo>猢�</mo>
-              <mfrac>
-                <mrow>
-                  <mn>3</mn>
-                  <mo>鈭�</mo>
-                  <mi>a</mi>
-                </mrow>
-                <mn>2</mn>
-              </mfrac>
-              <mo>猢�</mo>
-              <mn>1</mn>
-            </math>锛�
-          </p>
-          <p>瑙e緱銆�1鈮�<i>a</i>鈮�5.</p>
+          <div v-if="isShowAnswer36" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span> 鍥犱负銆�-1鈮in<i>x</i>鈮�1锛�
+            </p>
+            <p>
+              鎵�浠ャ��<math display="0">
+                <mo>鈭�</mo>
+                <mn>1</mn>
+                <mo>猢�</mo>
+                <mfrac>
+                  <mrow>
+                    <mn>3</mn>
+                    <mo>鈭�</mo>
+                    <mi>a</mi>
+                  </mrow>
+                  <mn>2</mn>
+                </mfrac>
+                <mo>猢�</mo>
+                <mn>1</mn>
+              </math>锛�
+            </p>
+            <p>瑙e緱銆�1鈮�<i>a</i>鈮�5.</p>
+          </div>
           <p>
             <span class="zt-ls"><b>渚�2</b></span>銆�姹備娇涓嬪垪鍑芥暟鍙栧緱鏈�澶у�笺�佹渶灏忓�肩殑<i>x</i>鐨勯泦鍚堬紝骞舵眰鍑鸿繖浜涘嚱鏁扮殑鏈�澶у�笺�佹渶灏忓��.
           </p>
-          <p>锛�1锛� <i>y</i>=3+sin<i>x</i>锛涳紙2锛� <i>y</i>=-2sin<i>x</i>.</p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>锛�1锛�
-            浣垮嚱鏁�<i>y</i>=3+sin<i>x</i>鍙栧緱鏈�澶у�肩殑<i>x</i>鐨勯泦鍚堬紝灏辨槸浣垮嚱鏁�<i>y</i>=sin<i>x</i>鍙栧緱鏈�澶у�肩殑<i>x</i>鐨勯泦鍚�<math display="0">
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">{</mo>
-                <mi>x</mi>
-                <mrow data-mjx-texclass="INNER">
-                  <mo data-mjx-texclass="OPEN">|</mo>
-                  <mstyle scriptlevel="0">
-                    <mspace width="thinmathspace"></mspace>
-                  </mstyle>
-                  <mi>x</mi>
-                  <mo>=</mo>
-                  <mn>2</mn>
-                  <mi>k</mi>
-                  <mi>蟺</mi>
-                  <mo>+</mo>
-                  <mfrac>
-                    <mi>蟺</mi>
-                    <mn>2</mn>
-                  </mfrac>
-                  <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
-                </mrow>
-                <mo>,</mo>
-                <mi>k</mi>
-                <mo>鈭�</mo>
-                <mrow>
-                  <mi mathvariant="bold">Z</mi>
-                </mrow>
-                <mo data-mjx-texclass="CLOSE">}</mo>
-              </mrow>
-            </math>.杩欐椂鍑芥暟<i>y</i>=3+sin<i>x</i>鐨勬渶澶у�间负<i>y</i>=3+1=4.
+          <p class="p-btn" >
+            <span>
+              锛�1锛� <i>y</i>=3+sin<i>x</i>锛�
+            </span>
+            <span class="btn-box" @click="hadleAnswer(37)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p>
-            浣垮嚱鏁�<i>y</i>=3+sin<i>x</i>鍙栧緱鏈�灏忓�肩殑<i>x</i>鐨勯泦鍚堬紝灏辨槸浣垮嚱鏁�<i>y</i>=sin<i>x</i>鍙栧緱鏈�灏忓�肩殑<i>x</i>鐨勯泦鍚�<math display="0">
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">{</mo>
-                <mi>x</mi>
-                <mrow data-mjx-texclass="INNER">
-                  <mo data-mjx-texclass="OPEN">|</mo>
-                  <mstyle scriptlevel="0">
-                    <mspace width="thinmathspace"></mspace>
-                  </mstyle>
-                  <mi>x</mi>
-                  <mo>=</mo>
-                  <mn>2</mn>
-                  <mi>k</mi>
-                  <mi>蟺</mi>
-                  <mo>鈭�</mo>
-                  <mfrac>
-                    <mi>蟺</mi>
-                    <mn>2</mn>
-                  </mfrac>
-                  <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
-                </mrow>
-                <mo>,</mo>
-                <mi>k</mi>
-                <mo>鈭�</mo>
-                <mrow>
-                  <mi mathvariant="bold">Z</mi>
-                </mrow>
-                <mo data-mjx-texclass="CLOSE">}</mo>
-              </mrow>
-            </math>.杩欐椂鍑芥暟<i>y</i>=3+sin<i>x</i>鐨勬渶灏忓�间负<i>y</i>=3+锛�-1锛�=2.
+          <p class="p-btn" >
+            <span>
+              锛�2锛� <i>y</i>=-2sin<i>x</i>.
+            </span>
+            <span class="btn-box" @click="hadleAnswer(38)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p>
-            锛�2锛�
-            浣垮嚱鏁�<i>y</i>=-2sin<i>x</i>鍙栧緱鏈�澶у�肩殑<i>x</i>鐨勯泦鍚堬紝灏辨槸浣垮嚱鏁�<i>y</i>=sin<i>x</i>鍙栧緱鏈�灏忓�肩殑<i>x</i>鐨勯泦鍚�<math display="0">
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">{</mo>
-                <mi>x</mi>
+          <div v-if="isShowAnswer37" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>锛�1锛�
+              浣垮嚱鏁�<i>y</i>=3+sin<i>x</i>鍙栧緱鏈�澶у�肩殑<i>x</i>鐨勯泦鍚堬紝灏辨槸浣垮嚱鏁�<i>y</i>=sin<i>x</i>鍙栧緱鏈�澶у�肩殑<i>x</i>鐨勯泦鍚�<math display="0">
                 <mrow data-mjx-texclass="INNER">
-                  <mo data-mjx-texclass="OPEN">|</mo>
-                  <mstyle scriptlevel="0">
-                    <mspace width="thinmathspace"></mspace>
-                  </mstyle>
+                  <mo data-mjx-texclass="OPEN">{</mo>
                   <mi>x</mi>
-                  <mo>=</mo>
-                  <mn>2</mn>
-                  <mi>k</mi>
-                  <mi>蟺</mi>
-                  <mo>鈭�</mo>
-                  <mfrac>
-                    <mi>蟺</mi>
+                  <mrow data-mjx-texclass="INNER">
+                    <mo data-mjx-texclass="OPEN">|</mo>
+                    <mstyle scriptlevel="0">
+                      <mspace width="thinmathspace"></mspace>
+                    </mstyle>
+                    <mi>x</mi>
+                    <mo>=</mo>
                     <mn>2</mn>
-                  </mfrac>
-                  <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+                    <mi>k</mi>
+                    <mi>蟺</mi>
+                    <mo>+</mo>
+                    <mfrac>
+                      <mi>蟺</mi>
+                      <mn>2</mn>
+                    </mfrac>
+                    <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+                  </mrow>
+                  <mo>,</mo>
+                  <mi>k</mi>
+                  <mo>鈭�</mo>
+                  <mrow>
+                    <mi mathvariant="bold">Z</mi>
+                  </mrow>
+                  <mo data-mjx-texclass="CLOSE">}</mo>
                 </mrow>
-                <mo>,</mo>
-                <mi>k</mi>
-                <mo>鈭�</mo>
-                <mrow>
-                  <mi mathvariant="bold">Z</mi>
-                </mrow>
-                <mo data-mjx-texclass="CLOSE">}</mo>
-              </mrow>
-            </math>.杩欐椂鍑芥暟<i>y</i>=-2sin<i>x</i>鐨勬渶澶у�间负<i>y</i>=-2脳锛�-1锛�=2.
-          </p>
-          <p>
-            浣垮嚱鏁�<i>y</i>=-2sin<i>x</i>鍙栧緱鏈�灏忓�肩殑<i>x</i>鐨勯泦鍚堬紝灏辨槸浣垮嚱鏁�<i>y</i>=sin<i>x</i>鍙栧緱鏈�澶у�肩殑<i>x</i>鐨勯泦鍚�<math display="0">
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">{</mo>
-                <mi>x</mi>
+              </math>.杩欐椂鍑芥暟<i>y</i>=3+sin<i>x</i>鐨勬渶澶у�间负<i>y</i>=3+1=4.
+            </p>
+            <p>
+              浣垮嚱鏁�<i>y</i>=3+sin<i>x</i>鍙栧緱鏈�灏忓�肩殑<i>x</i>鐨勯泦鍚堬紝灏辨槸浣垮嚱鏁�<i>y</i>=sin<i>x</i>鍙栧緱鏈�灏忓�肩殑<i>x</i>鐨勯泦鍚�<math display="0">
                 <mrow data-mjx-texclass="INNER">
-                  <mo data-mjx-texclass="OPEN">|</mo>
-                  <mstyle scriptlevel="0">
-                    <mspace width="thinmathspace"></mspace>
-                  </mstyle>
+                  <mo data-mjx-texclass="OPEN">{</mo>
                   <mi>x</mi>
-                  <mo>=</mo>
-                  <mn>2</mn>
-                  <mi>k</mi>
-                  <mi>蟺</mi>
-                  <mo>+</mo>
-                  <mfrac>
-                    <mi>蟺</mi>
+                  <mrow data-mjx-texclass="INNER">
+                    <mo data-mjx-texclass="OPEN">|</mo>
+                    <mstyle scriptlevel="0">
+                      <mspace width="thinmathspace"></mspace>
+                    </mstyle>
+                    <mi>x</mi>
+                    <mo>=</mo>
                     <mn>2</mn>
-                  </mfrac>
-                  <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+                    <mi>k</mi>
+                    <mi>蟺</mi>
+                    <mo>鈭�</mo>
+                    <mfrac>
+                      <mi>蟺</mi>
+                      <mn>2</mn>
+                    </mfrac>
+                    <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+                  </mrow>
+                  <mo>,</mo>
+                  <mi>k</mi>
+                  <mo>鈭�</mo>
+                  <mrow>
+                    <mi mathvariant="bold">Z</mi>
+                  </mrow>
+                  <mo data-mjx-texclass="CLOSE">}</mo>
                 </mrow>
-                <mo>,</mo>
-                <mi>k</mi>
-                <mo>鈭�</mo>
-                <mrow>
-                  <mi mathvariant="bold">Z</mi>
+              </math>.杩欐椂鍑芥暟<i>y</i>=3+sin<i>x</i>鐨勬渶灏忓�间负<i>y</i>=3+锛�-1锛�=2.
+            </p>
+          </div>
+          <div v-if="isShowAnswer38" > 
+            <p>
+              锛�2锛�
+              浣垮嚱鏁�<i>y</i>=-2sin<i>x</i>鍙栧緱鏈�澶у�肩殑<i>x</i>鐨勯泦鍚堬紝灏辨槸浣垮嚱鏁�<i>y</i>=sin<i>x</i>鍙栧緱鏈�灏忓�肩殑<i>x</i>鐨勯泦鍚�<math display="0">
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">{</mo>
+                  <mi>x</mi>
+                  <mrow data-mjx-texclass="INNER">
+                    <mo data-mjx-texclass="OPEN">|</mo>
+                    <mstyle scriptlevel="0">
+                      <mspace width="thinmathspace"></mspace>
+                    </mstyle>
+                    <mi>x</mi>
+                    <mo>=</mo>
+                    <mn>2</mn>
+                    <mi>k</mi>
+                    <mi>蟺</mi>
+                    <mo>鈭�</mo>
+                    <mfrac>
+                      <mi>蟺</mi>
+                      <mn>2</mn>
+                    </mfrac>
+                    <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+                  </mrow>
+                  <mo>,</mo>
+                  <mi>k</mi>
+                  <mo>鈭�</mo>
+                  <mrow>
+                    <mi mathvariant="bold">Z</mi>
+                  </mrow>
+                  <mo data-mjx-texclass="CLOSE">}</mo>
                 </mrow>
-                <mo data-mjx-texclass="CLOSE">}</mo>
-              </mrow>
-            </math>.杩欐椂鍑芥暟<i>y</i>=-2sin<i>x</i>鐨勬渶灏忓�间负<i>y</i>=-2脳1=-2.
-          </p>
+              </math>.杩欐椂鍑芥暟<i>y</i>=-2sin<i>x</i>鐨勬渶澶у�间负<i>y</i>=-2脳锛�-1锛�=2.
+            </p>
+            <p>
+              浣垮嚱鏁�<i>y</i>=-2sin<i>x</i>鍙栧緱鏈�灏忓�肩殑<i>x</i>鐨勯泦鍚堬紝灏辨槸浣垮嚱鏁�<i>y</i>=sin<i>x</i>鍙栧緱鏈�澶у�肩殑<i>x</i>鐨勯泦鍚�<math display="0">
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">{</mo>
+                  <mi>x</mi>
+                  <mrow data-mjx-texclass="INNER">
+                    <mo data-mjx-texclass="OPEN">|</mo>
+                    <mstyle scriptlevel="0">
+                      <mspace width="thinmathspace"></mspace>
+                    </mstyle>
+                    <mi>x</mi>
+                    <mo>=</mo>
+                    <mn>2</mn>
+                    <mi>k</mi>
+                    <mi>蟺</mi>
+                    <mo>+</mo>
+                    <mfrac>
+                      <mi>蟺</mi>
+                      <mn>2</mn>
+                    </mfrac>
+                    <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+                  </mrow>
+                  <mo>,</mo>
+                  <mi>k</mi>
+                  <mo>鈭�</mo>
+                  <mrow>
+                    <mi mathvariant="bold">Z</mi>
+                  </mrow>
+                  <mo data-mjx-texclass="CLOSE">}</mo>
+                </mrow>
+              </math>.杩欐椂鍑芥暟<i>y</i>=-2sin<i>x</i>鐨勬渶灏忓�间负<i>y</i>=-2脳1=-2.
+            </p>
+          </div>
           <p class="left">
             <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
           </p>
@@ -5666,94 +6069,98 @@
           <p>
             <b>渚�</b> 涓嶆眰鍊硷紝鍒╃敤姝e鸡鍑芥暟鐨勫崟璋冩�э紝姣旇緝涓嬪垪鍚勫姝e鸡鍊肩殑澶у皬.
           </p>
-          <p>
-            锛�1锛�<math display="0">
-              <mi>sin</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mfrac>
-                <mrow>
+          <p class="p-btn" >
+            <span>
+                锛�1锛�<math display="0">
+                <mi>sin</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mfrac>
+                  <mrow>
+                    <mn>3</mn>
+                    <mi>蟺</mi>
+                  </mrow>
+                  <mn>4</mn>
+                </mfrac>
+              </math>涓�<math display="0">
+                <mi>sin</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mfrac>
+                  <mrow>
+                    <mn>2</mn>
+                    <mi>蟺</mi>
+                  </mrow>
                   <mn>3</mn>
-                  <mi>蟺</mi>
-                </mrow>
-                <mn>4</mn>
-              </mfrac>
-            </math>涓�<math display="0">
-              <mi>sin</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mfrac>
-                <mrow>
-                  <mn>2</mn>
-                  <mi>蟺</mi>
-                </mrow>
-                <mn>3</mn>
-              </mfrac>
-            </math>锛涳紙2锛�<math display="0">
-              <mi>sin</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
-                <mo>鈭�</mo>
-                <mfrac>
-                  <mi>蟺</mi>
-                  <mn>9</mn>
                 </mfrac>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-            </math>涓�<math display="0">
-              <mi>sin</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
-                <mo>鈭�</mo>
-                <mfrac>
-                  <mi>蟺</mi>
-                  <mn>10</mn>
-                </mfrac>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-            </math>.
+              </math>锛�
+            </span>
+            <span class="btn-box" @click="hadleAnswer(39)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍥犱负銆�<math display="0">
-              <mfrac>
-                <mi>蟺</mi>
-                <mn>2</mn>
-              </mfrac>
-              <mo>&lt;</mo>
-              <mfrac>
-                <mrow>
-                  <mn>2</mn>
-                  <mi>蟺</mi>
+          <p class="p-btn" >
+            <span>
+              锛�2锛�<math display="0">
+                <mi>sin</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mo>鈭�</mo>
+                  <mfrac>
+                    <mi>蟺</mi>
+                    <mn>9</mn>
+                  </mfrac>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
                 </mrow>
-                <mn>3</mn>
-              </mfrac>
-              <mo>&lt;</mo>
-              <mfrac>
-                <mrow>
-                  <mn>3</mn>
-                  <mi>蟺</mi>
+              </math>涓�<math display="0">
+                <mi>sin</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mo>鈭�</mo>
+                  <mfrac>
+                    <mi>蟺</mi>
+                    <mn>10</mn>
+                  </mfrac>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
                 </mrow>
-                <mn>4</mn>
-              </mfrac>
-              <mo>&lt;</mo>
-              <mfrac>
-                <mrow>
-                  <mn>3</mn>
-                  <mi>蟺</mi>
-                </mrow>
-                <mn>2</mn>
-              </mfrac>
-            </math>锛�
+              </math>.
+            </span>
+            <span class="btn-box" @click="hadleAnswer(40)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p>
-            鑰�<i>y</i>=sin <i>x</i> 鍦�<math display="0">
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">[</mo>
+          <div v-if="isShowAnswer39" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍥犱负銆�<math display="0">
                 <mfrac>
                   <mi>蟺</mi>
                   <mn>2</mn>
                 </mfrac>
-                <mo>,</mo>
+                <mo>&lt;</mo>
+                <mfrac>
+                  <mrow>
+                    <mn>2</mn>
+                    <mi>蟺</mi>
+                  </mrow>
+                  <mn>3</mn>
+                </mfrac>
+                <mo>&lt;</mo>
+                <mfrac>
+                  <mrow>
+                    <mn>3</mn>
+                    <mi>蟺</mi>
+                  </mrow>
+                  <mn>4</mn>
+                </mfrac>
+                <mo>&lt;</mo>
                 <mfrac>
                   <mrow>
                     <mn>3</mn>
@@ -5761,32 +6168,116 @@
                   </mrow>
                   <mn>2</mn>
                 </mfrac>
-                <mo data-mjx-texclass="CLOSE">]</mo>
-              </mrow>
-            </math>涓婃槸鍑忓嚱鏁帮紝鎵�浠�
-          </p>
-          <math display="block">
-            <mi>sin</mi>
-            <mo data-mjx-texclass="NONE">鈦�</mo>
-            <mfrac>
-              <mrow>
+              </math>锛�
+            </p>
+            <p>
+              鑰�<i>y</i>=sin <i>x</i> 鍦�<math display="0">
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">[</mo>
+                  <mfrac>
+                    <mi>蟺</mi>
+                    <mn>2</mn>
+                  </mfrac>
+                  <mo>,</mo>
+                  <mfrac>
+                    <mrow>
+                      <mn>3</mn>
+                      <mi>蟺</mi>
+                    </mrow>
+                    <mn>2</mn>
+                  </mfrac>
+                  <mo data-mjx-texclass="CLOSE">]</mo>
+                </mrow>
+              </math>涓婃槸鍑忓嚱鏁帮紝鎵�浠�
+            </p>
+            <math display="block">
+              <mi>sin</mi>
+              <mo data-mjx-texclass="NONE">鈦�</mo>
+              <mfrac>
+                <mrow>
+                  <mn>3</mn>
+                  <mi>蟺</mi>
+                </mrow>
+                <mn>4</mn>
+              </mfrac>
+              <mo>&lt;</mo>
+              <mi>sin</mi>
+              <mo data-mjx-texclass="NONE">鈦�</mo>
+              <mfrac>
+                <mrow>
+                  <mn>2</mn>
+                  <mi>蟺</mi>
+                </mrow>
                 <mn>3</mn>
-                <mi>蟺</mi>
-              </mrow>
-              <mn>4</mn>
-            </mfrac>
-            <mo>&lt;</mo>
-            <mi>sin</mi>
-            <mo data-mjx-texclass="NONE">鈦�</mo>
-            <mfrac>
-              <mrow>
-                <mn>2</mn>
-                <mi>蟺</mi>
-              </mrow>
-              <mn>3</mn>
-            </mfrac>
-            <mtext>.&nbsp;</mtext>
-          </math>
+              </mfrac>
+              <mtext>.&nbsp;</mtext>
+            </math>
+          </div>
+          <div v-if="isShowAnswer40" > 
+            <p>
+                锛�2锛� 鍥犱负銆�<math display="0">
+                  <mo>鈭�</mo>
+                  <mfrac>
+                    <mi>蟺</mi>
+                    <mn>2</mn>
+                  </mfrac>
+                  <mo>&lt;</mo>
+                  <mo>鈭�</mo>
+                  <mfrac>
+                    <mi>蟺</mi>
+                    <mn>9</mn>
+                  </mfrac>
+                  <mo>&lt;</mo>
+                  <mo>鈭�</mo>
+                  <mfrac>
+                    <mi>蟺</mi>
+                    <mn>10</mn>
+                  </mfrac>
+                  <mo>&lt;</mo>
+                  <mn>0</mn>
+                </math>锛�
+              </p>
+              <p>
+                鑰�<i>y</i>=sin <i>x</i>鍦�<math display="0">
+                  <mrow data-mjx-texclass="INNER">
+                    <mo data-mjx-texclass="OPEN">[</mo>
+                    <mo>鈭�</mo>
+                    <mfrac>
+                      <mi>蟺</mi>
+                      <mn>2</mn>
+                    </mfrac>
+                    <mo>,</mo>
+                    <mn>0</mn>
+                    <mo data-mjx-texclass="CLOSE">]</mo>
+                  </mrow>
+                </math>涓婃槸澧炲嚱鏁帮紝鎵�浠�
+              </p>
+              <math display="block">
+                <mi>sin</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mo>鈭�</mo>
+                  <mfrac>
+                    <mi>蟺</mi>
+                    <mn>9</mn>
+                  </mfrac>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+                <mo>&lt;</mo>
+                <mi>sin</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mo>鈭�</mo>
+                  <mfrac>
+                    <mi>蟺</mi>
+                    <mn>10</mn>
+                  </mfrac>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+              </math>
+          </div>
         </div>
       </div>
     </div>
@@ -5803,69 +6294,6 @@
           <li>涓婂唽</li>
         </ul>
         <div class="padding-116">
-          <p>
-            锛�2锛� 鍥犱负銆�<math display="0">
-              <mo>鈭�</mo>
-              <mfrac>
-                <mi>蟺</mi>
-                <mn>2</mn>
-              </mfrac>
-              <mo>&lt;</mo>
-              <mo>鈭�</mo>
-              <mfrac>
-                <mi>蟺</mi>
-                <mn>9</mn>
-              </mfrac>
-              <mo>&lt;</mo>
-              <mo>鈭�</mo>
-              <mfrac>
-                <mi>蟺</mi>
-                <mn>10</mn>
-              </mfrac>
-              <mo>&lt;</mo>
-              <mn>0</mn>
-            </math>锛�
-          </p>
-          <p>
-            鑰�<i>y</i>=sin <i>x</i>鍦�<math display="0">
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">[</mo>
-                <mo>鈭�</mo>
-                <mfrac>
-                  <mi>蟺</mi>
-                  <mn>2</mn>
-                </mfrac>
-                <mo>,</mo>
-                <mn>0</mn>
-                <mo data-mjx-texclass="CLOSE">]</mo>
-              </mrow>
-            </math>涓婃槸澧炲嚱鏁帮紝鎵�浠�
-          </p>
-          <math display="block">
-            <mi>sin</mi>
-            <mo data-mjx-texclass="NONE">鈦�</mo>
-            <mrow data-mjx-texclass="INNER">
-              <mo data-mjx-texclass="OPEN">(</mo>
-              <mo>鈭�</mo>
-              <mfrac>
-                <mi>蟺</mi>
-                <mn>9</mn>
-              </mfrac>
-              <mo data-mjx-texclass="CLOSE">)</mo>
-            </mrow>
-            <mo>&lt;</mo>
-            <mi>sin</mi>
-            <mo data-mjx-texclass="NONE">鈦�</mo>
-            <mrow data-mjx-texclass="INNER">
-              <mo data-mjx-texclass="OPEN">(</mo>
-              <mo>鈭�</mo>
-              <mfrac>
-                <mi>蟺</mi>
-                <mn>10</mn>
-              </mfrac>
-              <mo data-mjx-texclass="CLOSE">)</mo>
-            </mrow>
-          </math>
           <p class="left">
             <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
           </p>
@@ -6022,20 +6450,57 @@
             <p class="img">鍥�5-32</p>
           </div>
           <p><b>渚�</b> 鐢ㄢ�滀簲鐐规硶鈥濈敾鍑轰笅鍒楀嚱鏁板湪鍖洪棿锛�0锛�2蟺锛藉唴鐨勭畝鍥�.</p>
-          <p>锛�1锛� <i>y</i>=2cos <i>x</i>锛涳紙2锛� <i>y</i>=-1+cos <i>x</i>.</p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍒楄〃锛堣〃5-10锛�.
+          <p class="p-btn" >
+            <span>锛�1锛� <i>y</i>=2cos <i>x</i>锛�</span>
+            <span class="btn-box" @click="hadleAnswer(41)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p class="img">琛�5-10</p>
-          <p class="center">
-            <img class="img-a" alt="" src="../../assets/images/0207-5.jpg" />
+          <p class="p-btn" >
+            <span>锛�2锛� <i>y</i>=-1+cos <i>x</i>.</span>
+            <span class="btn-box" @click="hadleAnswer(42)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p class="center">
-            <img class="img-f" alt="" src="../../assets/images/0207-6.jpg" />
-          </p>
-          <p class="img">鍥�5-33</p>
-          <p>鎻忕偣杩炵嚎寰�<i>y</i>=2cos <i>x</i>鍦ㄥ尯闂达蓟0锛�2蟺锛�</p>
-          <p>鍐呯殑绠�鍥撅紝濡傚浘5-33鎵�绀�.</p>
+          <iframe src="https://www.geogebra.org/calculator" frameborder="0" class="iframe-box"></iframe>
+          <div v-if="isShowAnswer41" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍒楄〃锛堣〃5-10锛�.
+            </p>
+            <p class="img">琛�5-10</p>
+            <p class="center">
+              <img class="img-a" alt="" src="../../assets/images/0207-5.jpg" />
+            </p>
+            <p class="center">
+              <img class="img-f" alt="" src="../../assets/images/0207-6.jpg" />
+            </p>
+            <p class="img">鍥�5-33</p>
+            <p>鎻忕偣杩炵嚎寰�<i>y</i>=2cos <i>x</i>鍦ㄥ尯闂达蓟0锛�2蟺锛�</p>
+            <p>鍐呯殑绠�鍥撅紝濡傚浘5-33鎵�绀�.</p>
+          </div>
+          <div v-if="isShowAnswer42" > 
+            <p>锛�2锛� 鍒楄〃锛堣〃5-11锛�.</p>
+            <p class="img">琛�5-11</p>
+            <p class="center">
+              <img class="img-a" alt="" src="../../assets/images/0208-1.jpg" />
+            </p>
+            <p>
+              鎻忕偣杩炵嚎寰�<i>y</i>=-1+cos
+              <i>x</i>鍦ㄥ尯闂达蓟0锛�2蟺锛藉唴鐨勭畝鍥撅紝濡傚浘5-34鎵�绀�.
+            </p>
+            <p class="center">
+              <img class="img-d" alt="" src="../../assets/images/0208-2.jpg" />
+            </p>
+            <p class="img">鍥�5-34</p>
+          </div>
         </div>
       </div>
     </div>
@@ -6051,19 +6516,7 @@
           </li>
         </ul>
         <div class="padding-116">
-          <p>锛�2锛� 鍒楄〃锛堣〃5-11锛�.</p>
-          <p class="img">琛�5-11</p>
-          <p class="center">
-            <img class="img-a" alt="" src="../../assets/images/0208-1.jpg" />
-          </p>
-          <p>
-            鎻忕偣杩炵嚎寰�<i>y</i>=-1+cos
-            <i>x</i>鍦ㄥ尯闂达蓟0锛�2蟺锛藉唴鐨勭畝鍥撅紝濡傚浘5-34鎵�绀�.
-          </p>
-          <p class="center">
-            <img class="img-d" alt="" src="../../assets/images/0208-2.jpg" />
-          </p>
-          <p class="img">鍥�5-34</p>
+
           <p class="left">
             <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
           </p>
@@ -6144,22 +6597,31 @@
             浣欏鸡鍑芥暟<i>y</i>=cos
             <i>x</i>鍦ㄦ瘡涓�涓尯闂达蓟2<i>k</i>蟺锛�2<i>k</i>蟺+蟺锛斤紙<i>k</i>鈭�<b>Z</b>锛変笂閮芥槸鍑忓嚱鏁帮紝鍏跺�肩敱1鍑忓皬鍒�-1锛涘湪姣忎竴涓尯闂达蓟2<i>k</i>蟺+蟺锛�2<i>k</i>蟺+2蟺锛斤紙<i>k</i>鈭�<b>Z</b>锛変笂閮芥槸澧炲嚱鏁帮紝鍏跺�肩敱-1澧炲ぇ鍒�1.
           </p>
-          <p>
-            <span class="zt-ls"><b>渚�1</b></span>銆�姹傚嚱鏁�<i>y</i>=-1+cos <i>x</i>鐨勬渶澶у�笺�佹渶灏忓�笺�佹渶灏忔鍛ㄦ湡鍙婂�煎煙.
+          <p class="p-btn" >
+            <span><span class="zt-ls"><b>渚�1</b></span>銆�姹傚嚱鏁�<i>y</i>=-1+cos <i>x</i>鐨勬渶澶у�笺�佹渶灏忓�笺�佹渶灏忔鍛ㄦ湡鍙婂�煎煙.</span>
+            <span class="btn-box" @click="hadleAnswer(43)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>
-            褰�<i>x</i>=2<i>k</i>蟺锛�<i>k</i>鈭�<b>Z</b>锛夋椂锛屽嚱鏁�<i>y</i>=-1+cos
-            <i>x</i>鐨勬渶澶у�间负<i>y</i>=1-1=0锛�
-          </p>
-          <p>
-            褰�<i>x</i>=2<i>k</i>蟺+蟺锛�<i>k</i>鈭�<i>Z</i>锛夋椂锛屽嚱鏁�<i>y</i>=-1+cos
-            <i>x</i>鐨勬渶灏忓�间负<i>y</i>=-1-1=-2锛�
-          </p>
-          <p>
-            鍑芥暟<i>y</i>=-1+cos <i>x</i>鐨勬渶灏忔鍛ㄦ湡涓�2蟺锛涘嚱鏁�<i>y</i>=-1+cos
-            <i>x</i>鐨勫�煎煙涓篬-2锛�0].
-          </p>
+          <div v-if="isShowAnswer43" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>
+              褰�<i>x</i>=2<i>k</i>蟺锛�<i>k</i>鈭�<b>Z</b>锛夋椂锛屽嚱鏁�<i>y</i>=-1+cos
+              <i>x</i>鐨勬渶澶у�间负<i>y</i>=1-1=0锛�
+            </p>
+            <p>
+              褰�<i>x</i>=2<i>k</i>蟺+蟺锛�<i>k</i>鈭�<i>Z</i>锛夋椂锛屽嚱鏁�<i>y</i>=-1+cos
+              <i>x</i>鐨勬渶灏忓�间负<i>y</i>=-1-1=-2锛�
+            </p>
+            <p>
+              鍑芥暟<i>y</i>=-1+cos <i>x</i>鐨勬渶灏忔鍛ㄦ湡涓�2蟺锛涘嚱鏁�<i>y</i>=-1+cos
+              <i>x</i>鐨勫�煎煙涓篬-2锛�0].
+            </p>
+          </div>
         </div>
       </div>
     </div>
@@ -6187,87 +6649,97 @@
           <p>
             <span class="zt-ls"><b>渚�2</b></span>銆�涓嶆眰鍊硷紝鍒╃敤浣欏鸡鍑芥暟鐨勫崟璋冩�э紝姣旇緝涓嬪垪鍚勫浣欏鸡鍊肩殑澶у皬.
           </p>
-          <p>
-            锛�1锛�
-            <math display="0">
-              <mi>cos</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mfrac>
-                <mrow>
-                  <mn>6</mn>
-                  <mi>蟺</mi>
-                </mrow>
-                <mn>5</mn>
-              </mfrac>
-            </math>涓�<math display="0">
-              <mi>cos</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mfrac>
-                <mrow>
+          <p class="p-btn" >
+            <span>
+              锛�1锛�
+              <math display="0">
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mfrac>
+                  <mrow>
+                    <mn>6</mn>
+                    <mi>蟺</mi>
+                  </mrow>
                   <mn>5</mn>
-                  <mi>蟺</mi>
-                </mrow>
-                <mn>4</mn>
-              </mfrac>
-            </math>锛涳紙2锛�
-            <math display="0">
-              <mi>cos</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
-                <mo>鈭�</mo>
-                <mfrac>
-                  <mi>蟺</mi>
-                  <mn>7</mn>
                 </mfrac>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-            </math>涓�<math display="0">
-              <mi>cos</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
-                <mo>鈭�</mo>
+              </math>涓�<math display="0">
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
                 <mfrac>
-                  <mi>蟺</mi>
-                  <mn>8</mn>
+                  <mrow>
+                    <mn>5</mn>
+                    <mi>蟺</mi>
+                  </mrow>
+                  <mn>4</mn>
                 </mfrac>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-            </math>.
+              </math>锛�
+            </span>
+            <span class="btn-box" @click="hadleAnswer(44)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍥犱负<math display="0">
-              <mi>蟺</mi>
-              <mo>&lt;</mo>
-              <mfrac>
-                <mrow>
-                  <mn>6</mn>
-                  <mi>蟺</mi>
+          <p class="p-btn" >
+            <span>
+              锛�2锛�
+              <math display="0">
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mo>鈭�</mo>
+                  <mfrac>
+                    <mi>蟺</mi>
+                    <mn>7</mn>
+                  </mfrac>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
                 </mrow>
-                <mn>5</mn>
-              </mfrac>
-              <mo>&lt;</mo>
-              <mfrac>
-                <mrow>
-                  <mn>5</mn>
-                  <mi>蟺</mi>
+              </math>涓�<math display="0">
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mo>鈭�</mo>
+                  <mfrac>
+                    <mi>蟺</mi>
+                    <mn>8</mn>
+                  </mfrac>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
                 </mrow>
-                <mn>4</mn>
-              </mfrac>
-              <mo>&lt;</mo>
-              <mfrac>
-                <mrow>
-                  <mn>3</mn>
-                  <mi>蟺</mi>
-                </mrow>
-                <mn>2</mn>
-              </mfrac>
-            </math>锛岃�屽嚱鏁�<i>y</i>=cos <i>x</i>鍦�<math display="0">
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">[</mo>
+              </math>.
+            </span>
+            <span class="btn-box" @click="hadleAnswer(45)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <div v-if="isShowAnswer44" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍥犱负<math display="0">
                 <mi>蟺</mi>
-                <mo>,</mo>
+                <mo>&lt;</mo>
+                <mfrac>
+                  <mrow>
+                    <mn>6</mn>
+                    <mi>蟺</mi>
+                  </mrow>
+                  <mn>5</mn>
+                </mfrac>
+                <mo>&lt;</mo>
+                <mfrac>
+                  <mrow>
+                    <mn>5</mn>
+                    <mi>蟺</mi>
+                  </mrow>
+                  <mn>4</mn>
+                </mfrac>
+                <mo>&lt;</mo>
                 <mfrac>
                   <mrow>
                     <mn>3</mn>
@@ -6275,34 +6747,133 @@
                   </mrow>
                   <mn>2</mn>
                 </mfrac>
-                <mo data-mjx-texclass="CLOSE">]</mo>
-              </mrow>
-            </math>涓婃槸澧炲嚱鏁帮紝鎵�浠�
-          </p>
-          <math display="block">
-            <mi>cos</mi>
-            <mo data-mjx-texclass="NONE">鈦�</mo>
-            <mfrac>
-              <mrow>
-                <mn>6</mn>
-                <mi>蟺</mi>
-              </mrow>
-              <mn>5</mn>
-            </mfrac>
-            <mo>&lt;</mo>
-            <mi>cos</mi>
-            <mo data-mjx-texclass="NONE">鈦�</mo>
-            <mfrac>
-              <mrow>
+              </math>锛岃�屽嚱鏁�<i>y</i>=cos <i>x</i>鍦�<math display="0">
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">[</mo>
+                  <mi>蟺</mi>
+                  <mo>,</mo>
+                  <mfrac>
+                    <mrow>
+                      <mn>3</mn>
+                      <mi>蟺</mi>
+                    </mrow>
+                    <mn>2</mn>
+                  </mfrac>
+                  <mo data-mjx-texclass="CLOSE">]</mo>
+                </mrow>
+              </math>涓婃槸澧炲嚱鏁帮紝鎵�浠�
+            </p>
+            <math display="block">
+              <mi>cos</mi>
+              <mo data-mjx-texclass="NONE">鈦�</mo>
+              <mfrac>
+                <mrow>
+                  <mn>6</mn>
+                  <mi>蟺</mi>
+                </mrow>
                 <mn>5</mn>
-                <mi>蟺</mi>
-              </mrow>
-              <mn>4</mn>
-            </mfrac>
-            <mo>.</mo>
-          </math>
-          <p>
-            锛�2锛�<math display="0">
+              </mfrac>
+              <mo>&lt;</mo>
+              <mi>cos</mi>
+              <mo data-mjx-texclass="NONE">鈦�</mo>
+              <mfrac>
+                <mrow>
+                  <mn>5</mn>
+                  <mi>蟺</mi>
+                </mrow>
+                <mn>4</mn>
+              </mfrac>
+              <mo>.</mo>
+            </math>
+          </div>
+          <div v-if="isShowAnswer45" > 
+            <p>
+              锛�2锛�<math display="0">
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mo>鈭�</mo>
+                  <mfrac>
+                    <mi>蟺</mi>
+                    <mn>7</mn>
+                  </mfrac>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+                <mo>=</mo>
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mfrac>
+                  <mi>蟺</mi>
+                  <mn>7</mn>
+                </mfrac>
+              </math>锛�<math display="0">
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mo>鈭�</mo>
+                  <mfrac>
+                    <mi>蟺</mi>
+                    <mn>8</mn>
+                  </mfrac>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+                <mo>=</mo>
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mfrac>
+                  <mi>蟺</mi>
+                  <mn>8</mn>
+                </mfrac>
+              </math>.
+            </p>
+            <p>
+              鍥犱负<math display="0">
+                <mn>0</mn>
+                <mo>&lt;</mo>
+                <mfrac>
+                  <mi>蟺</mi>
+                  <mn>8</mn>
+                </mfrac>
+                <mo>&lt;</mo>
+                <mfrac>
+                  <mi>蟺</mi>
+                  <mn>7</mn>
+                </mfrac>
+                <mo>&lt;</mo>
+                <mfrac>
+                  <mi>蟺</mi>
+                  <mn>2</mn>
+                </mfrac>
+              </math>锛岃�屽嚱鏁�<i>y</i>=cos <i>x</i>鍦�0锛�<math display="0">
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">[</mo>
+                  <mn>0</mn>
+                  <mo>,</mo>
+                  <mfrac>
+                    <mi>蟺</mi>
+                    <mn>2</mn>
+                  </mfrac>
+                  <mo data-mjx-texclass="CLOSE">]</mo>
+                </mrow>
+              </math>涓婃槸鍑忓嚱鏁帮紝鎵�浠�<math display="0">
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mfrac>
+                  <mi>蟺</mi>
+                  <mn>7</mn>
+                </mfrac>
+                <mo>&lt;</mo>
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mfrac>
+                  <mi>蟺</mi>
+                  <mn>8</mn>
+                </mfrac>
+              </math>锛屽嵆
+            </p>
+            <math display="block">
               <mi>cos</mi>
               <mo data-mjx-texclass="NONE">鈦�</mo>
               <mrow data-mjx-texclass="INNER">
@@ -6314,14 +6885,7 @@
                 </mfrac>
                 <mo data-mjx-texclass="CLOSE">)</mo>
               </mrow>
-              <mo>=</mo>
-              <mi>cos</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mfrac>
-                <mi>蟺</mi>
-                <mn>7</mn>
-              </mfrac>
-            </math>锛�<math display="0">
+              <mo>&lt;</mo>
               <mi>cos</mi>
               <mo data-mjx-texclass="NONE">鈦�</mo>
               <mrow data-mjx-texclass="INNER">
@@ -6333,86 +6897,9 @@
                 </mfrac>
                 <mo data-mjx-texclass="CLOSE">)</mo>
               </mrow>
-              <mo>=</mo>
-              <mi>cos</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mfrac>
-                <mi>蟺</mi>
-                <mn>8</mn>
-              </mfrac>
-            </math>.
-          </p>
-          <p>
-            鍥犱负<math display="0">
-              <mn>0</mn>
-              <mo>&lt;</mo>
-              <mfrac>
-                <mi>蟺</mi>
-                <mn>8</mn>
-              </mfrac>
-              <mo>&lt;</mo>
-              <mfrac>
-                <mi>蟺</mi>
-                <mn>7</mn>
-              </mfrac>
-              <mo>&lt;</mo>
-              <mfrac>
-                <mi>蟺</mi>
-                <mn>2</mn>
-              </mfrac>
-            </math>锛岃�屽嚱鏁�<i>y</i>=cos <i>x</i>鍦�0锛�<math display="0">
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">[</mo>
-                <mn>0</mn>
-                <mo>,</mo>
-                <mfrac>
-                  <mi>蟺</mi>
-                  <mn>2</mn>
-                </mfrac>
-                <mo data-mjx-texclass="CLOSE">]</mo>
-              </mrow>
-            </math>涓婃槸鍑忓嚱鏁帮紝鎵�浠�<math display="0">
-              <mi>cos</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mfrac>
-                <mi>蟺</mi>
-                <mn>7</mn>
-              </mfrac>
-              <mo>&lt;</mo>
-              <mi>cos</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mfrac>
-                <mi>蟺</mi>
-                <mn>8</mn>
-              </mfrac>
-            </math>锛屽嵆
-          </p>
-          <math display="block">
-            <mi>cos</mi>
-            <mo data-mjx-texclass="NONE">鈦�</mo>
-            <mrow data-mjx-texclass="INNER">
-              <mo data-mjx-texclass="OPEN">(</mo>
-              <mo>鈭�</mo>
-              <mfrac>
-                <mi>蟺</mi>
-                <mn>7</mn>
-              </mfrac>
-              <mo data-mjx-texclass="CLOSE">)</mo>
-            </mrow>
-            <mo>&lt;</mo>
-            <mi>cos</mi>
-            <mo data-mjx-texclass="NONE">鈦�</mo>
-            <mrow data-mjx-texclass="INNER">
-              <mo data-mjx-texclass="OPEN">(</mo>
-              <mo>鈭�</mo>
-              <mfrac>
-                <mi>蟺</mi>
-                <mn>8</mn>
-              </mfrac>
-              <mo data-mjx-texclass="CLOSE">)</mo>
-            </mrow>
-            <mo>.</mo>
-          </math>
+              <mo>.</mo>
+            </math>
+          </div>
           <p class="left">
             <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
           </p>
@@ -6707,22 +7194,31 @@
               </mfrac>
             </math>.
           </p>
-          <p>
-            <span class="zt-ls"><b>渚�1</b></span>銆�宸茬煡<math display="0">
-              <mi>cos</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mi>x</mi>
-              <mo>=</mo>
-              <mo>鈭�</mo>
-              <mfrac>
-                <msqrt>
+          <p class="p-btn" >
+            <span>
+                <span class="zt-ls"><b>渚�1</b></span>銆�宸茬煡<math display="0">
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mi>x</mi>
+                <mo>=</mo>
+                <mo>鈭�</mo>
+                <mfrac>
+                  <msqrt>
+                    <mn>2</mn>
+                  </msqrt>
                   <mn>2</mn>
-                </msqrt>
-                <mn>2</mn>
-              </mfrac>
-            </math>锛屼笖<i>x</i>鈭堬蓟0锛�2蟺锛� 锛屾眰<i>x</i>鐨勫��.
+                </mfrac>
+              </math>锛屼笖<i>x</i>鈭堬蓟0锛�2蟺锛� 锛屾眰<i>x</i>鐨勫��.
+            </span>
+            <span class="btn-box" @click="hadleAnswer(46)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p>
+          <p v-if="isShowAnswer46">
             <span class="zt-ls"><b>瑙�</b></span> 鍥犱负<math display="0">
               <mi>cos</mi>
               <mo data-mjx-texclass="NONE">鈦�</mo>
@@ -6835,95 +7331,106 @@
               </mfrac>
             </math>.
           </p>
-          <p>
-            <span class="zt-ls"><b>渚�2</b></span>銆�宸茬煡<math display="0">
-              <mi>tan</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mi>x</mi>
-              <mo>=</mo>
-              <msqrt>
-                <mn>3</mn>
-              </msqrt>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
+          <p class="p-btn" >
+            <span>
+                <span class="zt-ls"><b>渚�2</b></span>銆�宸茬煡<math display="0">
+                <mi>tan</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
                 <mi>x</mi>
-                <mo>鈮�</mo>
-                <mfrac>
+                <mo>=</mo>
+                <msqrt>
+                  <mn>3</mn>
+                </msqrt>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mi>x</mi>
+                  <mo>鈮�</mo>
+                  <mfrac>
+                    <mi>蟺</mi>
+                    <mn>2</mn>
+                  </mfrac>
+                  <mo>+</mo>
+                  <mi>k</mi>
                   <mi>蟺</mi>
-                  <mn>2</mn>
-                </mfrac>
-                <mo>+</mo>
-                <mi>k</mi>
-                <mi>蟺</mi>
-                <mo>,</mo>
-                <mi>k</mi>
-                <mo>鈭�</mo>
-                <mrow>
-                  <mi mathvariant="bold">Z</mi>
+                  <mo>,</mo>
+                  <mi>k</mi>
+                  <mo>鈭�</mo>
+                  <mrow>
+                    <mi mathvariant="bold">Z</mi>
+                  </mrow>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
                 </mrow>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-            </math>锛屼笖0掳鈮�<i>x</i>鈮�360掳锛屾眰<i>x</i>鐨勫��.
+              </math>锛屼笖0掳鈮�<i>x</i>鈮�360掳锛屾眰<i>x</i>鐨勫��.
+            </span>
+            <span class="btn-box" @click="hadleAnswer(47)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span> 鍥犱负<math display="0">
-              <mi>tan</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mi>x</mi>
-              <mo>=</mo>
-              <msqrt>
-                <mn>3</mn>
-              </msqrt>
-              <mo>锛�</mo>
-              <mn>0</mn>
-            </math>锛屾墍浠�<i>x</i>鏄涓�鎴栫涓夎薄闄愯.
-          </p>
-          <p>
-            鐢�<math display="0">
-              <mi>tan</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mn>60</mn>
-              <mrow>
-                <mo>掳</mo>
-              </mrow>
-              <mo>=</mo>
-              <msqrt>
-                <mn>3</mn>
-              </msqrt>
-            </math>鍙煡锛岀鍚堟潯浠剁殑绗竴璞¢檺瑙掓槸<i>x</i>=60掳.
-          </p>
-          <p>
-            鍙堝洜涓�<math display="0">
-              <mi>tan</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
-                <mn>180</mn>
-                <mrow>
-                  <mo>掳</mo>
-                </mrow>
-                <mo>+</mo>
+          <div v-if="isShowAnswer47" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span> 鍥犱负<math display="0">
+                <mi>tan</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mi>x</mi>
+                <mo>=</mo>
+                <msqrt>
+                  <mn>3</mn>
+                </msqrt>
+                <mo>锛�</mo>
+                <mn>0</mn>
+              </math>锛屾墍浠�<i>x</i>鏄涓�鎴栫涓夎薄闄愯.
+            </p>
+            <p>
+              鐢�<math display="0">
+                <mi>tan</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
                 <mn>60</mn>
                 <mrow>
                   <mo>掳</mo>
                 </mrow>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-              <mo>=</mo>
-              <mi>tan</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mn>60</mn>
-              <mrow>
-                <mo>掳</mo>
-              </mrow>
-              <mo>=</mo>
-              <msqrt>
-                <mn>3</mn>
-              </msqrt>
-            </math>锛�
-          </p>
-          <p>鎵�浠ョ鍚堟潯浠剁殑绗笁璞¢檺瑙掓槸<i>x</i>=180掳+60掳=240掳.</p>
-          <p>鎵�浠�<i>x</i>=60掳鎴�<i>x</i>=240掳.</p>
+                <mo>=</mo>
+                <msqrt>
+                  <mn>3</mn>
+                </msqrt>
+              </math>鍙煡锛岀鍚堟潯浠剁殑绗竴璞¢檺瑙掓槸<i>x</i>=60掳.
+            </p>
+            <p>
+              鍙堝洜涓�<math display="0">
+                <mi>tan</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mn>180</mn>
+                  <mrow>
+                    <mo>掳</mo>
+                  </mrow>
+                  <mo>+</mo>
+                  <mn>60</mn>
+                  <mrow>
+                    <mo>掳</mo>
+                  </mrow>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+                <mo>=</mo>
+                <mi>tan</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mn>60</mn>
+                <mrow>
+                  <mo>掳</mo>
+                </mrow>
+                <mo>=</mo>
+                <msqrt>
+                  <mn>3</mn>
+                </msqrt>
+              </math>锛�
+            </p>
+            <p>鎵�浠ョ鍚堟潯浠剁殑绗笁璞¢檺瑙掓槸<i>x</i>=180掳+60掳=240掳.</p>
+            <p>鎵�浠�<i>x</i>=60掳鎴�<i>x</i>=240掳.</p>
+          </div>
           <div class="bk">
             <div class="bj1">
               <p class="left">
@@ -6942,8 +7449,9 @@
               鏍规嵁<i>x</i>鎵�鍦ㄧ殑璞¢檺鍜岃瀵煎叕寮忥紝鍐欏嚭婊¤冻棰樼洰缁欏畾鑼冨洿鐨�<i>x</i>鐨勫��.
             </p>
           </div>
-          <p>
-            <span class="zt-ls"><b>渚�3</b></span>銆�宸茬煡<math display="0">
+          <p class="p-btn" >
+            <span>
+              <span class="zt-ls"><b>渚�3</b></span>銆�宸茬煡<math display="0">
               <mi>cos</mi>
               <mo data-mjx-texclass="NONE">鈦�</mo>
               <mi>x</mi>
@@ -6953,101 +7461,111 @@
                 <mn>2</mn>
               </mfrac>
             </math>锛屼笖<i>x</i>鈭堬蓟-蟺锛屜�锛斤紝姹�<i>x</i>鐨勫��.
+            </span>
+            <span class="btn-box" @click="hadleAnswer(48)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span> 鍥犱负<math display="0">
-              <mi>cos</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mi>x</mi>
-              <mo>=</mo>
-              <mfrac>
-                <mn>1</mn>
-                <mn>2</mn>
-              </mfrac>
-              <mo>锛�</mo>
-              <mn>0</mn>
-            </math>锛屾墍浠�<i>x</i>鏄涓�鎴栫鍥涜薄闄愯.
-          </p>
-          <p>
-            婊¤冻<math display="0">
-              <mi>cos</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mi>x</mi>
-              <mo>=</mo>
-              <mfrac>
-                <mn>1</mn>
-                <mn>2</mn>
-              </mfrac>
-            </math>鐨勯攼瑙掓槸<math display="0">
-              <mi>x</mi>
-              <mo>=</mo>
-              <mfrac>
-                <mi>蟺</mi>
-                <mn>3</mn>
-              </mfrac>
-            </math>锛屾墍浠ョ鍚堟潯浠剁殑绗竴璞¢檺瑙掓槸<math display="0">
-              <mfrac>
-                <mi>蟺</mi>
-                <mn>3</mn>
-              </mfrac>
-            </math>.
-          </p>
-          <p>
-            鍥犱负<math display="0">
-              <mi>cos</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
+          <div v-if="isShowAnswer48" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span> 鍥犱负<math display="0">
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mi>x</mi>
+                <mo>=</mo>
+                <mfrac>
+                  <mn>1</mn>
+                  <mn>2</mn>
+                </mfrac>
+                <mo>锛�</mo>
+                <mn>0</mn>
+              </math>锛屾墍浠�<i>x</i>鏄涓�鎴栫鍥涜薄闄愯.
+            </p>
+            <p>
+              婊¤冻<math display="0">
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mi>x</mi>
+                <mo>=</mo>
+                <mfrac>
+                  <mn>1</mn>
+                  <mn>2</mn>
+                </mfrac>
+              </math>鐨勯攼瑙掓槸<math display="0">
+                <mi>x</mi>
+                <mo>=</mo>
+                <mfrac>
+                  <mi>蟺</mi>
+                  <mn>3</mn>
+                </mfrac>
+              </math>锛屾墍浠ョ鍚堟潯浠剁殑绗竴璞¢檺瑙掓槸<math display="0">
+                <mfrac>
+                  <mi>蟺</mi>
+                  <mn>3</mn>
+                </mfrac>
+              </math>.
+            </p>
+            <p>
+              鍥犱负<math display="0">
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mo>鈭�</mo>
+                  <mfrac>
+                    <mi>蟺</mi>
+                    <mn>3</mn>
+                  </mfrac>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+                <mo>=</mo>
+                <mi>cos</mi>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mfrac>
+                  <mi>蟺</mi>
+                  <mn>3</mn>
+                </mfrac>
+                <mo>=</mo>
+                <mfrac>
+                  <mn>1</mn>
+                  <mn>2</mn>
+                </mfrac>
+              </math>锛�
+            </p>
+            <p>
+              鎵�浠ョ鍚堟潯浠剁殑绗洓璞¢檺瑙掓槸<math display="0">
+                <mi>x</mi>
+                <mo>=</mo>
                 <mo>鈭�</mo>
                 <mfrac>
                   <mi>蟺</mi>
                   <mn>3</mn>
                 </mfrac>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-              <mo>=</mo>
-              <mi>cos</mi>
-              <mo data-mjx-texclass="NONE">鈦�</mo>
-              <mfrac>
-                <mi>蟺</mi>
-                <mn>3</mn>
-              </mfrac>
-              <mo>=</mo>
-              <mfrac>
-                <mn>1</mn>
-                <mn>2</mn>
-              </mfrac>
-            </math>锛�
-          </p>
-          <p>
-            鎵�浠ョ鍚堟潯浠剁殑绗洓璞¢檺瑙掓槸<math display="0">
-              <mi>x</mi>
-              <mo>=</mo>
-              <mo>鈭�</mo>
-              <mfrac>
-                <mi>蟺</mi>
-                <mn>3</mn>
-              </mfrac>
-            </math>.
-          </p>
-          <p>
-            鎵�浠�<math display="0">
-              <mi>x</mi>
-              <mo>=</mo>
-              <mfrac>
-                <mi>蟺</mi>
-                <mn>3</mn>
-              </mfrac>
-            </math>鎴�<math display="0">
-              <mi>x</mi>
-              <mo>=</mo>
-              <mo>鈭�</mo>
-              <mfrac>
-                <mi>蟺</mi>
-                <mn>3</mn>
-              </mfrac>
-            </math>.
-          </p>
+              </math>.
+            </p>
+            <p>
+              鎵�浠�<math display="0">
+                <mi>x</mi>
+                <mo>=</mo>
+                <mfrac>
+                  <mi>蟺</mi>
+                  <mn>3</mn>
+                </mfrac>
+              </math>鎴�<math display="0">
+                <mi>x</mi>
+                <mo>=</mo>
+                <mo>鈭�</mo>
+                <mfrac>
+                  <mi>蟺</mi>
+                  <mn>3</mn>
+                </mfrac>
+              </math>.
+            </p>
+          </div>
           <p class="left">
             <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
           </p>
@@ -7085,68 +7603,107 @@
           <p>
             鏍规嵁宸茬煡鐗规畩鐨勪笁瑙掑嚱鏁板�兼眰瑙掔殑鏂规硶锛屽�熷姪璁$畻宸ュ叿锛屽彲浠ヨВ鍐冲凡鐭ヤ换鎰忎笁瑙掑嚱鏁板�兼眰瑙掔殑闂.
           </p>
-          <p>
-            <span class="zt-ls"><b>渚�1</b></span>銆�宸茬煡<math display="0">
-              <mi>伪</mi>
-              <mo>鈭�</mo>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">[</mo>
-                <mo>鈭�</mo>
-                <mfrac>
-                  <mi>蟺</mi>
-                  <mn>2</mn>
-                </mfrac>
-                <mo>,</mo>
-                <mfrac>
-                  <mi>蟺</mi>
-                  <mn>2</mn>
-                </mfrac>
-                <mo data-mjx-texclass="CLOSE">]</mo>
-              </mrow>
-            </math>锛屾眰<i>伪</i>鐨勫��.锛堢粨鏋滅簿纭埌0.000 1锛�
+          <p class="p-btn" >
+            <span>
+              <span class="zt-ls"><b>渚�1</b></span>銆�宸茬煡<math display="0">
+                <mi>伪</mi>
+                <mo>鈭�</mo>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">[</mo>
+                  <mo>鈭�</mo>
+                  <mfrac>
+                    <mi>蟺</mi>
+                    <mn>2</mn>
+                  </mfrac>
+                  <mo>,</mo>
+                  <mfrac>
+                    <mi>蟺</mi>
+                    <mn>2</mn>
+                  </mfrac>
+                  <mo data-mjx-texclass="CLOSE">]</mo>
+                </mrow>
+              </math>锛屾眰<i>伪</i>鐨勫��.锛堢粨鏋滅簿纭埌0.000 1锛�
+            </span>
+            <span class="btn-box" @click="hadleAnswer(49)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span> 鍥犱负<math display="0">
-              <mi>伪</mi>
-              <mo>鈭�</mo>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">[</mo>
-                <mo>鈭�</mo>
-                <mfrac>
-                  <mi>蟺</mi>
-                  <mn>2</mn>
-                </mfrac>
-                <mo>,</mo>
-                <mfrac>
-                  <mi>蟺</mi>
-                  <mn>2</mn>
-                </mfrac>
-                <mo data-mjx-texclass="CLOSE">]</mo>
-              </mrow>
-            </math>锛屾墍浠�<i>伪</i>鍦�<i>y</i>=sin <i>伪</i>鐨勪竴涓崟璋冨尯闂村唴锛岃繖鏃朵娇sin
-            <i>伪</i>=0.943 7鐨勮<i>伪</i>鐨勫�兼槸鍞竴鐨�.
+          <calculator />
+          <div v-if="isShowAnswer49" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span> 鍥犱负<math display="0">
+                <mi>伪</mi>
+                <mo>鈭�</mo>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">[</mo>
+                  <mo>鈭�</mo>
+                  <mfrac>
+                    <mi>蟺</mi>
+                    <mn>2</mn>
+                  </mfrac>
+                  <mo>,</mo>
+                  <mfrac>
+                    <mi>蟺</mi>
+                    <mn>2</mn>
+                  </mfrac>
+                  <mo data-mjx-texclass="CLOSE">]</mo>
+                </mrow>
+              </math>锛屾墍浠�<i>伪</i>鍦�<i>y</i>=sin <i>伪</i>鐨勪竴涓崟璋冨尯闂村唴锛岃繖鏃朵娇sin
+              <i>伪</i>=0.943 7鐨勮<i>伪</i>鐨勫�兼槸鍞竴鐨�.
+            </p>
+            <p>
+              鍏堝皢绉戝璁$畻鍣ㄧ殑绮剧‘搴﹁缃负0.000
+              1锛屽啀灏嗙瀛﹁绠楀櫒璁剧疆涓哄姬搴﹁绠楁ā寮忥紝鐒跺悗渚濇鎸夐敭锛�
+            </p>
+            <p class="center">
+              <img class="img-c" alt="" src="../../assets/images/0214-4.jpg" />
+            </p>
+            <p>缁撴灉鏄剧ず锛�</p>
+            <p class="center">
+              <img class="img-c" alt="" src="../../assets/images/0214-5.jpg" />
+            </p>
+            <p>鎵�浠ャ��<i>伪</i>鈮�1.233 6.</p>
+          </div>
+          <p class="p-btn" >
+            <span>
+              <span class="zt-ls"><b>渚�2</b></span>銆�宸茬煡cos <i>伪</i>=0.694
+              3锛�0掳鈮�<i>伪</i>鈮�180掳锛屾眰<i>伪</i>鐨勫��.锛堢粨鏋滅簿纭埌0.000 1锛�
+            </span>
+            <span class="btn-box" @click="hadleAnswer(50)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p>
-            鍏堝皢绉戝璁$畻鍣ㄧ殑绮剧‘搴﹁缃负0.000
-            1锛屽啀灏嗙瀛﹁绠楀櫒璁剧疆涓哄姬搴﹁绠楁ā寮忥紝鐒跺悗渚濇鎸夐敭锛�
-          </p>
-          <p class="center">
-            <img class="img-c" alt="" src="../../assets/images/0214-4.jpg" />
-          </p>
-          <p>缁撴灉鏄剧ず锛�</p>
-          <p class="center">
-            <img class="img-c" alt="" src="../../assets/images/0214-5.jpg" />
-          </p>
-          <p>鎵�浠ャ��<i>伪</i>鈮�1.233 6.</p>
-          <p>
-            <span class="zt-ls"><b>渚�2</b></span>銆�宸茬煡cos <i>伪</i>=0.694
-            3锛�0掳鈮�<i>伪</i>鈮�180掳锛屾眰<i>伪</i>鐨勫��.锛堢粨鏋滅簿纭埌0.000 1锛�
-          </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>銆�鍥犱负0掳鈮�<i>伪</i>鈮�180掳锛屾墍浠�<i>伪</i>鍦�<i>y</i>=cos
-            <i>伪</i>鐨勪竴涓崟璋冨尯闂村唴锛岃繖鏃朵娇cos <i>伪</i>=0.694
-            3鐨勮<i>伪</i>鐨勫�兼槸鍞竴鐨�.
-          </p>
+          <div v-if="isShowAnswer50" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>銆�鍥犱负0掳鈮�<i>伪</i>鈮�180掳锛屾墍浠�<i>伪</i>鍦�<i>y</i>=cos
+              <i>伪</i>鐨勪竴涓崟璋冨尯闂村唴锛岃繖鏃朵娇cos <i>伪</i>=0.694
+              3鐨勮<i>伪</i>鐨勫�兼槸鍞竴鐨�.
+            </p>
+            <p>
+              鍏堝皢绉戝璁$畻鍣ㄧ殑绮剧‘搴﹁缃负0.000
+              1锛屽啀灏嗙瀛﹁绠楀櫒璁剧疆涓鸿搴﹁绠楁ā寮忥紝鐒跺悗渚濇鎸夐敭锛�
+            </p>
+            <p class="center">
+              <img class="img-c" alt="" src="../../assets/images/0215-1.jpg" />
+            </p>
+            <p>缁撴灉鏄剧ず锛�</p>
+            <p class="center">
+              <img class="img-c" alt="" src="../../assets/images/0215-2.jpg" />
+            </p>
+            <p>鎵�浠�<i>伪</i>鈮�46.028 5掳.</p>
+            <p>
+              娉ㄦ剰锛氬簲褰撳尯鍒嗘墍缁欐潯浠朵腑瑙掔殑鍗曚綅鏄搴﹁繕鏄姬搴�.濡傛灉鏄搴︼紝璁$畻鏃跺簲鐢ㄨ搴﹁绠楁ā寮忥紱
+              濡傛灉鏄姬搴︼紝璁$畻鏃跺簲鐢ㄥ姬搴﹁绠楁ā寮�.
+            </p>
+          </div>
         </div>
       </div>
     </div>
@@ -7158,98 +7715,118 @@
           <li>鏁板.鍩虹妯″潡</li>
           <li>涓婂唽</li>
         </ul>
-
         <div class="padding-116">
-          <p>
-            鍏堝皢绉戝璁$畻鍣ㄧ殑绮剧‘搴﹁缃负0.000
-            1锛屽啀灏嗙瀛﹁绠楀櫒璁剧疆涓鸿搴﹁绠楁ā寮忥紝鐒跺悗渚濇鎸夐敭锛�
+          <p class="p-btn" >
+            <span>
+                <span class="zt-ls"><b>渚�3</b></span>銆�宸茬煡tan <i>伪</i>=-2.747 0锛�<math display="0">
+                <mi>伪</mi>
+                <mo>鈭�</mo>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mo>鈭�</mo>
+                  <mfrac>
+                    <mi>蟺</mi>
+                    <mn>2</mn>
+                  </mfrac>
+                  <mo>,</mo>
+                  <mfrac>
+                    <mi>蟺</mi>
+                    <mn>2</mn>
+                  </mfrac>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+              </math>锛屾眰<i>伪</i>鐨勫��.锛堢粨鏋滅簿纭埌0.000 1锛�
+            </span>
+            <span class="btn-box" @click="hadleAnswer(51)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
           </p>
-          <p class="center">
-            <img class="img-c" alt="" src="../../assets/images/0215-1.jpg" />
+          <calculator />
+          <div v-if="isShowAnswer51" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span> 鍥犱负<math display="0">
+                <mi>伪</mi>
+                <mo>鈭�</mo>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mo>鈭�</mo>
+                  <mfrac>
+                    <mi>蟺</mi>
+                    <mn>2</mn>
+                  </mfrac>
+                  <mo>,</mo>
+                  <mfrac>
+                    <mi>蟺</mi>
+                    <mn>2</mn>
+                  </mfrac>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+              </math>锛屾墍浠�<i>伪</i>鍦�<i>y</i>=tan <i>伪</i>鐨勪竴涓崟璋冨尯闂村唴锛岃繖鏃朵娇tan
+              <i>伪</i>=-2.747 0鐨勮<i>伪</i>鐨勫�兼槸鍞竴鐨�.
+            </p>
+            <p>
+              鍏堝皢绉戝璁$畻鍣ㄧ殑绮剧‘搴﹁缃负0.000
+              1锛屽啀灏嗙瀛﹁绠楀櫒璁剧疆涓哄姬搴﹁绠楁ā寮忥紝鐒跺悗渚濇鎸夐敭锛�
+            </p>
+            <p class="center">
+              <img class="img-c" alt="" src="../../assets/images/0215-5.jpg" />
+            </p>
+            <p>缁撴灉鏄剧ず锛�</p>
+            <p class="center">
+              <img class="img-c" alt="" src="../../assets/images/0215-6.jpg" />
+            </p>
+            <p>鎵�浠ャ��<i>伪</i>鈮�-1.221 7.</p>
+          </div>
+          <p class="p-btn" >
+            <span>
+              <span class="zt-ls"><b>渚�4</b></span>銆�宸茬煡sin <i>伪</i>=-0.857
+              2锛�<i>伪</i>鈭堬蓟0锛�2蟺锛斤紝姹�<i>伪</i>鐨勫��.锛堢粨鏋滅簿纭埌0.000 1锛�
+            </span>
+            <span class="btn-box" @click="hadleAnswer(52)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+                <path class="a"
+                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+            <span class="btn-box" @click="openDialog(thinkOne)">
+              <svg xmlns="http://www.w3.org/2000/svg" width="16.545" height="18.112" viewBox="0 0 20.545 22.112">
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+                  transform="translate(-3761 14334.001)" />
+              </svg>
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-          <p>缁撴灉鏄剧ず锛�</p>
-          <p class="center">
-            <img class="img-c" alt="" src="../../assets/images/0215-2.jpg" />
-          </p>
-          <p>鎵�浠�<i>伪</i>鈮�46.028 5掳.</p>
-          <p>
-            娉ㄦ剰锛氬簲褰撳尯鍒嗘墍缁欐潯浠朵腑瑙掔殑鍗曚綅鏄搴﹁繕鏄姬搴�.濡傛灉鏄搴︼紝璁$畻鏃跺簲鐢ㄨ搴﹁绠楁ā寮忥紱
-            濡傛灉鏄姬搴︼紝璁$畻鏃跺簲鐢ㄥ姬搴﹁绠楁ā寮�.
-          </p>
-          <p>
-            <span class="zt-ls"><b>渚�3</b></span>銆�宸茬煡tan <i>伪</i>=-2.747 0锛�<math display="0">
-              <mi>伪</mi>
-              <mo>鈭�</mo>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
-                <mo>鈭�</mo>
-                <mfrac>
-                  <mi>蟺</mi>
-                  <mn>2</mn>
-                </mfrac>
-                <mo>,</mo>
-                <mfrac>
-                  <mi>蟺</mi>
-                  <mn>2</mn>
-                </mfrac>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-            </math>锛屾眰<i>伪</i>鐨勫��.锛堢粨鏋滅簿纭埌0.000 1锛�
-          </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span> 鍥犱负<math display="0">
-              <mi>伪</mi>
-              <mo>鈭�</mo>
-              <mrow data-mjx-texclass="INNER">
-                <mo data-mjx-texclass="OPEN">(</mo>
-                <mo>鈭�</mo>
-                <mfrac>
-                  <mi>蟺</mi>
-                  <mn>2</mn>
-                </mfrac>
-                <mo>,</mo>
-                <mfrac>
-                  <mi>蟺</mi>
-                  <mn>2</mn>
-                </mfrac>
-                <mo data-mjx-texclass="CLOSE">)</mo>
-              </mrow>
-            </math>锛屾墍浠�<i>伪</i>鍦�<i>y</i>=tan <i>伪</i>鐨勪竴涓崟璋冨尯闂村唴锛岃繖鏃朵娇tan
-            <i>伪</i>=-2.747 0鐨勮<i>伪</i>鐨勫�兼槸鍞竴鐨�.
-          </p>
-          <p>
-            鍏堝皢绉戝璁$畻鍣ㄧ殑绮剧‘搴﹁缃负0.000
-            1锛屽啀灏嗙瀛﹁绠楀櫒璁剧疆涓哄姬搴﹁绠楁ā寮忥紝鐒跺悗渚濇鎸夐敭锛�
-          </p>
-          <p class="center">
-            <img class="img-c" alt="" src="../../assets/images/0215-5.jpg" />
-          </p>
-          <p>缁撴灉鏄剧ず锛�</p>
-          <p class="center">
-            <img class="img-c" alt="" src="../../assets/images/0215-6.jpg" />
-          </p>
-          <p>鎵�浠ャ��<i>伪</i>鈮�-1.221 7.</p>
-          <p>
-            <span class="zt-ls"><b>渚�4</b></span>銆�宸茬煡sin <i>伪</i>=-0.857
-            2锛�<i>伪</i>鈭堬蓟0锛�2蟺锛斤紝姹�<i>伪</i>鐨勫��.锛堢粨鏋滅簿纭埌0.000 1锛�
-          </p>
-          <p class="block">
-            <span class="zt-ls2"><b>鍒嗘瀽</b></span>銆�鍥犱负sin <i>伪</i>=-0.857
-            2锛�0锛屽湪锛�0锛�2蟺锛借寖鍥村唴鏈変袱涓�<i>伪</i>鍊兼弧瓒虫潯浠讹紝瀹冧滑鍒嗗埆浣嶄簬绗笁璞¢檺鍜岀鍥涜薄闄愶紝鍗�<i>伪</i>鍦蓟蟺锛�2蟺锛借寖鍥村唴.鍙敤绉戝璁$畻鍣ㄥ厛姹傚嚭sin
-            <i>伪</i>=0.857 2鎵�瀵瑰簲鐨勯攼瑙掞紝鍐嶅埄鐢ㄨ瀵煎叕寮忔眰鍑烘墍姹傜殑瑙�.
-          </p>
-          <p>
-            <span class="zt-ls"><b>瑙�</b></span>
-            鍏堝皢绉戝璁$畻鍣ㄧ殑绮剧‘搴﹁缃负0.000
-            1锛屽啀灏嗙瀛﹁绠楀櫒璁剧疆涓哄姬搴﹁绠楁ā寮忥紝鐒跺悗渚濇鎸夐敭锛�
-          </p>
-          <p class="center">
-            <img class="img-c" alt="" src="../../assets/images/0215-7.jpg" />
-          </p>
-          <p>缁撴灉鏄剧ず锛�</p>
-          <p class="center">
-            <img class="img-c" alt="" src="../../assets/images/0215-8.jpg" />
-          </p>
+          <div v-if="isShowAnswer52" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>
+              鍏堝皢绉戝璁$畻鍣ㄧ殑绮剧‘搴﹁缃负0.000
+              1锛屽啀灏嗙瀛﹁绠楀櫒璁剧疆涓哄姬搴﹁绠楁ā寮忥紝鐒跺悗渚濇鎸夐敭锛�
+            </p>
+            <p class="center">
+              <img class="img-c" alt="" src="../../assets/images/0215-7.jpg" />
+            </p>
+            <p>缁撴灉鏄剧ず锛�</p>
+            <p class="center">
+              <img class="img-c" alt="" src="../../assets/images/0215-8.jpg" />
+            </p>
+            <p>鍗�</p>
+            <p class="center">sin 1.029 8鈮�0.857 2.</p>
+            <p>鍥犱负</p>
+            <p class="center">sin锛埾�+1.029 8锛�=-sin 1.029 8鈮�-0.857 2锛�</p>
+            <p>鎵�浠ョ鍚堟潯浠剁殑绗笁璞¢檺瑙掓槸蟺+1.029 8鈮�4.171 4.</p>
+            <p>鍥犱负</p>
+            <p class="center">sin锛�2蟺-1.029 8锛�=-sin 1.029 8鈮�-0.857 2锛�</p>
+            <p>鎵�浠ョ鍚堟潯浠剁殑绗洓璞¢檺瑙掓槸2蟺-1.029 8鈮�5.253 4.</p>
+            <p>
+              鎵�浠ユ弧瓒硈in <i>伪</i>=-0.857
+              2锛�<i>伪</i>鈭堬蓟0锛�2蟺锛界殑瑙�<i>伪</i>鐨勯泦鍚堜负{4.171 4锛�5.253 4}.
+            </p>
+          </div>
         </div>
       </div>
     </div>
@@ -7265,18 +7842,6 @@
           </li>
         </ul>
         <div class="padding-116">
-          <p>鍗�</p>
-          <p class="center">sin 1.029 8鈮�0.857 2.</p>
-          <p>鍥犱负</p>
-          <p class="center">sin锛埾�+1.029 8锛�=-sin 1.029 8鈮�-0.857 2锛�</p>
-          <p>鎵�浠ョ鍚堟潯浠剁殑绗笁璞¢檺瑙掓槸蟺+1.029 8鈮�4.171 4.</p>
-          <p>鍥犱负</p>
-          <p class="center">sin锛�2蟺-1.029 8锛�=-sin 1.029 8鈮�-0.857 2锛�</p>
-          <p>鎵�浠ョ鍚堟潯浠剁殑绗洓璞¢檺瑙掓槸2蟺-1.029 8鈮�5.253 4.</p>
-          <p>
-            鎵�浠ユ弧瓒硈in <i>伪</i>=-0.857
-            2锛�<i>伪</i>鈭堬蓟0锛�2蟺锛界殑瑙�<i>伪</i>鐨勯泦鍚堜负{4.171 4锛�5.253 4}.
-          </p>
           <p class="left">
             <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
           </p>
@@ -7617,6 +8182,55 @@
     </div>
     <!-- 211 -->
     <div class="page-box hidePage" page="218"></div>
+    <!-- 瑙i鎬濊矾寮圭獥 -->
+    <el-dialog :visible.sync="thinkingDialog" width="40%" :append-to-body="true" :show-close="false"
+      @close="closeDialog" class="thinkDialog">
+      <div slot="title" class="think-header"
+        style="padding: 0; text-align: center; color: #333;display:flex;justify-content: center;">
+        <span style=""> 鍒嗘瀽 </span>
+        <svg style="position: absolute; right:10px;cursor: pointer;" @click="thinkingDialog = false" t="1718596022986"
+          class="icon" viewBox="0 0 1024 1024" version="1.1" xmlns="http://www.w3.org/2000/svg" p-id="4252" width="20"
+          height="20" xmlns:xlink="http://www.w3.org/1999/xlink">
+          <path
+            d="M176.661601 817.172881C168.472798 825.644055 168.701706 839.149636 177.172881 847.338438 185.644056 855.527241 199.149636 855.298332 207.338438 846.827157L826.005105 206.827157C834.193907 198.355983 833.964998 184.850403 825.493824 176.661601 817.02265 168.472798 803.517069 168.701706 795.328267 177.172881L176.661601 817.172881Z"
+            fill="#979797" p-id="4253"></path>
+          <path
+            d="M795.328267 846.827157C803.517069 855.298332 817.02265 855.527241 825.493824 847.338438 833.964998 839.149636 834.193907 825.644055 826.005105 817.172881L207.338438 177.172881C199.149636 168.701706 185.644056 168.472798 177.172881 176.661601 168.701706 184.850403 168.472798 198.355983 176.661601 206.827157L795.328267 846.827157Z"
+            fill="#979797" p-id="4254"></path>
+        </svg>
+      </div>
+      <ul>
+        <li v-for="(item, index) in thinkData" :key="index">
+          <div v-if="index <= showIndex" style="display: flex">
+            <span style="position: relative">
+              <span style="position: absolute; top: 16px; left: 13px; color: #fff">{{ index + 1 }}</span>
+              <img src="../../assets/images/icon/blue-group.png" alt="" style="margin-right: 10px"
+                v-if="index < thinkOne.length - 1" />
+              <img src="../../assets/images/icon/blue.png" alt="" v-if="index == thinkOne.length - 1"
+                style="margin-right: 10px" />
+            </span>
+            <p class="txt-p" v-html="item"></p>
+          </div>
+        </li>
+      </ul>
+      <div @click="changeNext" style="
+          display: flex;
+          flex-direction: column;
+          align-items: center;
+          justify-content: center;
+        ">
+        <img src="../../assets/images/icon/mouse.png" alt="" v-if="showIndex < thinkData.length - 1" />
+        <svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" t="1710234570135"
+          class="icon" viewBox="0 0 1024 1024" version="1.1" p-id="5067" width="15" height="15">
+          <path
+            d="M2.257993 493.371555 415.470783 906.584344 512 1003.113561 608.529217 906.584344 1021.742007 493.371555 925.212789 396.842337 512 810.055127 98.787211 396.842337Z"
+            fill="#1296db" p-id="5068" />
+          <path
+            d="M2.257993 117.980154 415.470783 531.192944 512 627.722161 608.529217 531.192944 1021.742007 117.980154 925.212789 21.450937 512 434.663727 98.787211 21.450937Z"
+            fill="#1296db" p-id="5069" />
+        </svg>
+      </div>
+    </el-dialog>
   </div>
 </template>
 
@@ -7624,6 +8238,15 @@
 import paint from '@/components/paint/index.vue'
 import examinations from "@/components/examinations/index.vue";
 import fillInTable from "@/components/fillInTable/index.vue";
+import calculator from '@/components/calculator/index.vue'
+const handleShow = (num) => {
+  const obj = {}
+  for (let index = 0; index < num; index++) {
+    obj['isShowAnswer' + index] = false
+  }
+  return obj
+}
+const showObj = handleShow(60)
 export default {
   name: "",
   props: {
@@ -7635,9 +8258,10 @@
       type: Object,
     },
   },
-  components: { examinations, fillInTable,paint },
+  components: { examinations, fillInTable,paint,calculator },
   data() {
     return {
+      ...showObj,
       isShowAnswer:false,
       queryDataOne: {
         stemTxt:"瀹屾垚涓嬭〃锛屽苟鍒╃敤鈥滀簲鐐规硶鈥濈敾鍑�<i>y</i>=3sin <i>x</i>鍦ㄥ尯闂达蓟0锛�2蟺锛藉唴鐨勭畝鍥撅紝骞惰鏄�<i>y</i>=3sin <i>x</i>鐨勫浘鍍忎笌姝e鸡鍑芥暟<i>y</i>=sin <i>x</i>鐨勫浘鍍忕殑鍖哄埆鍜岃仈绯�.",
@@ -7656,10 +8280,30 @@
           ["y=1-cosx", "", "", "", "", ""],
         ],
         answer:"<p>1,0,-1,0,1</p><p>0,1,2,1,0</p>"
-      }
-
+      },
+      showIndex:0,
+      thinkingDialog: false,
+      thinkData:[],
+      thinkOne:[
+        '鍥犱负sin <i>伪</i>=-0.8572锛�0锛屽湪锛�0锛�2蟺锛借寖鍥村唴鏈変袱涓�<i>伪</i>鍊兼弧瓒虫潯浠讹紝瀹冧滑鍒嗗埆浣嶄簬绗笁璞¢檺鍜岀鍥涜薄闄愶紝鍗�<i>伪</i>鍦蓟蟺锛�2蟺锛借寖鍥村唴.鍙敤绉戝璁$畻鍣ㄥ厛姹傚嚭sin<i>伪</i>=0.857 2鎵�瀵瑰簲鐨勯攼瑙掞紝鍐嶅埄鐢ㄨ瀵煎叕寮忔眰鍑烘墍姹傜殑瑙�.'
+      ]
     }
   },
+  methods:{
+    hadleAnswer(index) {
+      this['isShowAnswer' + index] = !this['isShowAnswer' + index]
+    },
+    openDialog(queryData) {
+      this.thinkData = queryData
+      this.thinkingDialog = !this.thinkingDialog
+    },
+    closeDialog() {
+      this.showIndex = 0
+    },
+    changeNext() {
+      if (this.showIndex < this.thinkData.length - 1) this.showIndex = this.showIndex + 1
+    }
+  }
 }
 </script>
 
@@ -7669,4 +8313,7 @@
   border: 1px solid #00adee;
   display: flex;
 }
+li {
+  list-style: none;
+}
 </style>
diff --git a/src/books/mathBook/view/components/index.vue b/src/books/mathBook/view/components/index.vue
index e5c1ead..f3c90f7 100644
--- a/src/books/mathBook/view/components/index.vue
+++ b/src/books/mathBook/view/components/index.vue
@@ -161,8 +161,8 @@
     }, 500);
 
     // 娴嬭瘯椤甸潰璺宠浆
-    setTimeout(() => {
-      this.gotoPage(3, 76);
+    // setTimeout(() => {
+    //   this.gotoPage(5, 210);
     //   //   setTimeout(() => {
     //   //     this.renderSign("Highlight", {
     //   //       id: "2ACA9359",
@@ -190,7 +190,7 @@
     //   //   txt: " 杩愬姩绯荤粺鏄敱楠ㄣ�侀杩炵粨鍜岄楠艰倢涓夐儴鍒嗙粍鎴愮殑銆傚叏韬殑楠ㄩ�氳繃楠ㄨ繛缁撶粍鎴愪汉浣撻楠硷紙瑙佸浘1-1锛夈�傞楠兼槸浜轰綋鐨勬敮鏋讹紝鍏锋湁淇濇姢鍐呰剰鍣ㄥ畼銆佷緵鑲岃倝闄勭潃鍜屼綔涓鸿倢鑲夎繍鍔ㄧ殑鏉犳潌绛変綔鐢ㄣ�傚湪绁炵粡绯荤粺鐨勬敮閰嶄笅锛岃倢鑲夋敹缂╃壍鍔ㄦ墍闄勭潃鐨勯缁曠潃鍏宠妭杞姩锛屼娇韬綋浜х敓鍚勭鍔ㄤ綔銆傛墍浠ワ紝杩愬姩绯荤粺鍏锋湁杩愬姩銆佹敮鎸佸拰淇濇姢绛夊姛鑳斤紝骞煎勾鏃舵湡鐨勯楠艰繕鍏锋湁閫犺鍔熻兘銆� ",
     //   //   txtIndex: 57
     //   // });
-    }, 500);
+    // }, 500);
 
     // 鑾峰彇棰樼洰id鍒楄〃
     this.getQuestionId();
diff --git a/src/components/calculator/index.vue b/src/components/calculator/index.vue
new file mode 100644
index 0000000..61d64f3
--- /dev/null
+++ b/src/components/calculator/index.vue
@@ -0,0 +1,58 @@
+<template>
+  <div ref="ggbContainer" class="ggb-container"></div>
+</template>
+
+<script lang="ts">
+
+export default {
+  mounted() {
+  if (!window.GGBApplet) {
+      const script = document.createElement("script");
+      script.src = "https://www.geogebra.org/apps/deployggb.js";
+      script.onload = () => {
+        this.initGeoGebra();
+      };
+      document.body.appendChild(script);
+    } else {
+      this.initGeoGebra();
+    }
+  },
+  methods:{
+    initGeoGebra() {
+        var params = {
+          id: "ggbApplet",
+          appName: "scientific",
+          width: 600,
+          height: 600,
+          showToolBar: true,
+          borderColor: null,
+          showMenuBar: true,
+          allowStyleBar: true,
+          showAlgebraInput: true,
+          enableLabelDrags: false,
+          enableShiftDragZoom: true,
+          capturingThreshold: null,
+          showToolBarHelp: false,
+          errorDialogsActive: true,
+          showTutorialLink: true,
+          showLogging: true,
+          useBrowserForJS: false,
+        };
+
+        if (this.$refs.ggbContainer) {
+          const applet = new GGBApplet(params, true);
+          applet.inject(this.$refs.ggbContainer);
+        }
+      }
+  }
+}
+
+</script>
+
+<style scoped>
+.ggb-container {
+  width: 100%;
+  height: 100%;
+  /* 鍏朵粬鏍峰紡 */
+}
+</style>
diff --git a/src/components/examinations/index.vue b/src/components/examinations/index.vue
index 550baa2..d7b7e43 100644
--- a/src/components/examinations/index.vue
+++ b/src/components/examinations/index.vue
@@ -567,6 +567,7 @@
   methods: {
     // 鑾峰彇涓嶅彈淇濇姢鐨勫浘鐗�
     getPublicImage(md5, width, height) {
+      if(!md5) return 
       if(md5.includes('http')) return md5
       let src = null;
       if (md5) {

--
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