From 30d147c4c92dbfd5ca1b2f8c24a617dc82d2d25b Mon Sep 17 00:00:00 2001
From: zhongshujie <2862698242@qq.com>
Date: 星期一, 28 四月 2025 18:34:51 +0800
Subject: [PATCH] Merge branch 'master' of http://182.92.203.7:2001/r/testbookLayout

---
 src/books/mathBook/view/components/chapter004.vue | 6734 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++-
 1 files changed, 6,561 insertions(+), 173 deletions(-)

diff --git a/src/books/mathBook/view/components/chapter004.vue b/src/books/mathBook/view/components/chapter004.vue
index 31c5a66..bc9b7f4 100644
--- a/src/books/mathBook/view/components/chapter004.vue
+++ b/src/books/mathBook/view/components/chapter004.vue
@@ -1,25 +1,54 @@
 <template>
   <div class="chapter" num="5">
-
     <!-- 绗洓鍗曞厓棣栭〉 -->
     <div class="page-box" page="120">
       <div v-if="showPageList.indexOf(120) > -1">
-        <div class="padding-116">绗洓鍗曞厓棣栭〉</div>
+        <h1 id="a008">
+          <img class="img-0" alt="" src="../../assets/images/dy4.jpg" />
+        </h1>
+        <div class="padding-116">
+          <p>
+            鐭ヨ瘑鏀瑰彉鍛借繍锛屾妧鑳芥垚灏变汉鐢燂紝鍏ㄧぞ浼氬潥鎸佸皧閲嶅姵鍔ㄣ�佸皧閲嶇煡璇嗐�佸皧閲嶄汉鎵嶃�佸皧閲嶅垱閫�.钁楀悕鍘ㄥ笀鍘夋仼娴锋浘鏄竴鍚嶅啗浜猴紝缁冨氨浜嗕竴韬媺闈㈢粷娲伙紝浠栬兘鎶�1
+            kg
+            鐨勯潰鎷夊嚭200澶氫竾鏍圭粏濡傚彂涓濈殑闈㈡潯锛�4娆″垱閫犲悏灏兼柉涓栫晫绾綍锛岃瑾変负鈥滀腑鍥芥媺闈㈠ぇ鐜嬧��.鎷夐潰浠庝竴鍧楅潰鍧楀紑濮嬶紝鎵嬫彙涓ょ锛屼袱鑷傚潎鍖�鐢ㄥ姏鍔犻�熷悜澶栨娀鎷夛紝鐒跺悗涓ゅご瀵规姌鍚庡啀鎷夛紝姣忓鎶�1娆★紝闈㈡潯鐨勬暟閲忓湪鍘熸湁鍩虹涓婄炕涓�鍊嶏紝濡傛缁х画锛屾瘡娆″鎶樺悗闈㈡潯鐨勬暟閲忓舰鎴愪笅鍒楁暟瀛�1锛�2锛�4锛�8锛�16锛�32锛�64锛屸�︿负浜嗘洿濂藉湴浣撶幇闈㈡潯鏁伴噺涓庡鎶樻鏁扮殑鍏崇郴锛屼篃鍙互琛ㄧず涓�2<sup>0</sup>锛�2<sup>1</sup>锛�2<sup>2</sup>锛�2<sup>3</sup>锛�2<sup>4</sup>锛�2<sup>5</sup>锛�2<sup>6</sup>锛屸�﹁嫢鐢ㄥ嚱鏁拌瑷�鍒荤敾杩欑被鏁伴噺鍏崇郴鍜屽彉鍖栬寰嬶紝灏辨槸鎴戜滑鍗冲皢瀛︿範鐨勬寚鏁板嚱鏁�.鐜板疄鐢熸椿涓紝鏁版嵁閲忕殑鐖嗙偢寮忓闀裤�佺粏鑳炲垎瑁傘�佺⒊14鑰冨彜銆佸偍钃勫埄鐜囷紙澶嶅埄锛夈�佽娑蹭腑鐨勯厭绮惧惈閲忕瓑闂锛岄兘浼氱敤鍒版寚鏁板嚱鏁扮浉鍏崇煡璇�.
+          </p>
+          <p>
+            鎸囨暟鍑芥暟涓庡鏁板嚱鏁版槸涓ょ被鍩烘湰鍒濈瓑鍑芥暟锛屾槸鎻愰珮鏁板杩愮畻鑳藉姏銆佸煿鍏绘暟褰㈢粨鍚堟�濇兂鍜屾暟瀛﹀缓妯¤兘鍔涚殑閲嶈鍐呭.瀹冧滑鍦ㄤ汉鍙e闀跨粺璁°�佹枃鐗╄�冨彜閴村埆銆佽埅娴峰崼鏄熷畾浣嶇瓑鏂归潰鍙戞尌鐫�閲嶈浣滅敤锛屽湪璐㈢粡銆侀噾铻嶃�佸叕鍏辨湇鍔°�佷俊鎭妧鏈瓑棰嗗煙鏈夊箍娉涘簲鐢�.
+          </p>
+          <p>
+            鏈崟鍏冩垜浠皢鍦ㄦ暣鏁板箓鐨勫熀纭�涓婃帹骞垮箓鐨勬蹇碉紝瀛︿範瀹炴暟骞傜殑鐩稿叧瀹氫箟鍜岃繍绠楁�ц川銆佹寚鏁板嚱鏁扮殑鍥惧儚涓庢�ц川銆佸鏁板畾涔夊強杩愮畻娉曞垯銆佸鏁板嚱鏁扮殑鍥惧儚涓庢�ц川銆佹寚鏁板嚱鏁颁笌瀵规暟鍑芥暟鐨勫疄闄呭簲鐢ㄧ瓑鍐呭锛屾劅鎮熸暟瀛︿笌鐜板疄鐨勫叧鑱旓紝鎶婃彙浜嬬墿鐨勬湰璐紝褰㈡垚鐞嗘�ф�濊�冮棶棰樼殑鍝佽川鍜岀簿绁�.
+          </p>
+        </div>
       </div>
     </div>
     <!-- 鐩爣 -->
     <div class="page-box" page="121">
       <div v-if="showPageList.indexOf(121) > -1">
-        <div class="padding-116">鐩爣</div>
+        <div class="padding-116">
+          <p class="left">
+            <img class="inline2" alt="" src="../../assets/images/xxmb.jpg" />
+          </p>
+          <div class="fieldset">
+            <p>1.瀹炴暟鎸囨暟骞�.</p>
+            <p>
+              鑳戒綋浼氭寚鏁颁粠姝f暣鏁版帹骞垮埌鏈夌悊鏁般�佸疄鏁扮殑杩囩▼锛屼簡瑙e疄鏁版寚鏁板箓鐨勮繍绠楁硶鍒�.
+            </p>
+            <p>2.鎸囨暟鍑芥暟鍜屽鏁板嚱鏁�.</p>
+            <p>鑳藉�熷姪鍑犱綍鐩磋鍜屼唬鏁拌繍绠楄璇嗘寚鏁板嚱鏁板拰瀵规暟鍑芥暟锛�</p>
+            <p>
+              浜嗚В鎸囨暟鍑芥暟鍜屽鏁板嚱鏁扮殑瀹氫箟锛岀悊瑙e畠浠殑鍥惧儚鍙婃�ц川锛屾劅鎮熸暟褰㈢粨鍚堢殑鏁板鎬濇兂锛�
+            </p>
+            <p>浼氱敤瀵规暟鐨勫畾涔夎繘琛屾寚鏁板紡涓庡鏁板紡鐨勪簰鍖栵紱</p>
+            <p>浜嗚В瀵规暟鐨勬�ц川鍜岃繍绠楁硶鍒�.</p>
+            <p>3.鎸囨暟鍑芥暟涓庡鏁板嚱鏁扮殑瀹為檯搴旂敤.</p>
+            <p>鑳戒粠瀹為檯鎯呭鎶借薄鍑烘寚鏁板嚱鏁般�佸鏁板嚱鏁版ā鍨嬭В鍐崇畝鍗曢棶棰�.</p>
+          </div>
+        </div>
       </div>
     </div>
-
-
     <!-- 115 -->
     <div class="page-box" page="122">
       <div v-if="showPageList.indexOf(122) > -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>
@@ -28,25 +57,886 @@
             <p><span>115</span></p>
           </li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <h2 id="b022">
+            4.1 瀹炴暟鎸囨暟骞�<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span>
+          </h2>
+          <h3 id="c034">
+            4.1.1 鏈夌悊鏁版寚鏁板箓<span class="fontsz2">锛烇紴锛�</span>
+          </h3>
+          <div class="bk">
+            <div class="bj1">
+              <p class="left">
+                <img class="img-gn1" alt="" src="../../assets/images/zshg.jpg" />
+              </p>
+            </div>
+            <p class="block">
+              濡傛灉<i>b</i><sup>2</sup>=<i>a</i>锛岄偅涔�<i>b</i>灏卞彨浣�<i>a</i>
+              鐨勫钩鏂规牴锛堟垨浜屾鏂规牴锛�.鍥犱负<i>b</i><sup>2</sup>鈮�0锛屾晠褰�<i>a</i>锛�0鏃讹紝鍦ㄥ疄鏁拌寖鍥村唴<i>a</i>娌℃湁骞虫柟鏍癸紱褰�<i>a</i>锛�0鏃讹紝<i>a</i>鐨勫钩鏂规牴鏈変袱涓紝瀹冧滑浜掍负鐩稿弽鏁帮紝鍒嗗埆涓�<math
+                display="0">
+                <msqrt>
+                  <mi>a</mi>
+                </msqrt>
+              </math>鍜�<math display="0">
+                <mo>鈭�</mo>
+                <msqrt>
+                  <mi>a</mi>
+                </msqrt>
+              </math>锛涘綋<i>a</i>=0鏃讹紝
+              <math display="0">
+                <msqrt>
+                  <mn>0</mn>
+                </msqrt>
+                <mo>=</mo>
+                <mn>0</mn>
+              </math>.渚嬪锛� 卤3灏辨槸9鐨勫钩鏂规牴.
+            </p>
+            <p class="block">
+              濡傛灉<i>b</i><sup>3</sup>=<i>a</i>锛岄偅涔�<i>b</i>灏卞彨浣�<i>a</i>鐨勭珛鏂规牴锛堟垨涓夋鏂规牴锛�.鍦ㄥ疄鏁拌寖鍥村唴<i>a</i>鍙湁涓�涓珛鏂规牴锛岃涓�<math
+                display="0">
+                <mroot>
+                  <mi>a</mi>
+                  <mn>3</mn>
+                </mroot>
+              </math>.渚嬪锛�2灏辨槸8鐨勭珛鏂规牴.
+            </p>
+          </div>
+          <p class="left">
+            <img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" />
+          </p>
+          <p>
+            涓�鑸湴锛屽鏋�<i>b<sup>n</sup></i>=<i>a</i>锛�<i>n</i>锛�1锛�<i>n</i>鈭�<b>N</b>锛夛紝閭d箞<i>b</i>灏卞彨浣�<i>a</i>鐨�<i>n</i>娆℃柟鏍�.
+          </p>
+          <p>
+            褰�<i>n</i>鏄鏁版椂锛屾鏁�<i>a</i>鐨�<i>n</i>娆℃柟鏍规槸涓�涓鏁帮紝璐熸暟<i>a</i>鐨�<i>n</i>娆℃柟鏍规槸涓�涓礋鏁�.杩欐椂锛�<i>a</i>鐨�<i>n</i>娆℃柟鏍圭敤绗﹀彿<math
+              display="0">
+              <mroot>
+                <mi>a</mi>
+                <mi>n</mi>
+              </mroot>
+            </math>琛ㄧず.渚嬪锛�
+          </p>
+          <math display="block">
+            <mroot>
+              <mn>128</mn>
+              <mn>7</mn>
+            </mroot>
+            <mo>=</mo>
+            <mn>2</mn>
+            <mo>锛�</mo>
+            <mroot>
+              <mrow>
+                <mo>鈭�</mo>
+                <mn>128</mn>
+              </mrow>
+              <mn>7</mn>
+            </mroot>
+            <mo>=</mo>
+            <mo>鈭�</mo>
+            <mn>2</mn>
+            <mo>锛�</mo>
+            <mroot>
+              <msup>
+                <mi>a</mi>
+                <mrow>
+                  <mn>6</mn>
+                </mrow>
+              </msup>
+              <mn>3</mn>
+            </mroot>
+            <mo>=</mo>
+            <msup>
+              <mi>a</mi>
+              <mrow>
+                <mn>2</mn>
+              </mrow>
+            </msup>
+            <mo>.</mo>
+          </math>
+          <p>
+            褰�<i>n</i>鏄伓鏁版椂锛屾鏁�<i>a</i>鐨�<i>n</i>娆℃柟鏍规湁涓や釜锛屼袱鏁颁簰涓虹浉鍙嶆暟.杩欐椂锛屾鏁�<i>a</i>鐨勬鐨�<i>n</i>娆℃柟鏍圭敤绗﹀彿<math display="0">
+              <mroot>
+                <mi>a</mi>
+                <mi>n</mi>
+              </mroot>
+            </math>琛ㄧず锛岃礋鐨�<i>n</i>娆℃柟鏍圭敤绗﹀彿<math display="0">
+              <mo>鈭�</mo>
+              <mroot>
+                <mi>a</mi>
+                <mi>n</mi>
+              </mroot>
+            </math>琛ㄧず.姝g殑<i>n</i>娆℃柟鏍逛笌璐熺殑<i>n</i>娆℃柟鏍瑰彲浠ュ悎骞跺啓鎴�<math display="0">
+              <mo>卤</mo>
+              <mroot>
+                <mi>a</mi>
+                <mi>n</mi>
+              </mroot>
+              <mrow data-mjx-texclass="INNER">
+                <mo data-mjx-texclass="OPEN">(</mo>
+                <mi>a</mi>
+                <mo>锛�</mo>
+                <mn>0</mn>
+                <mo data-mjx-texclass="CLOSE">)</mo>
+              </mrow>
+            </math>.渚嬪锛�
+          </p>
+          <math display="block">
+            <mroot>
+              <mn>64</mn>
+              <mn>6</mn>
+            </mroot>
+            <mo>=</mo>
+            <mn>2</mn>
+            <mo>,</mo>
+            <mo>鈭�</mo>
+            <mroot>
+              <mn>64</mn>
+              <mn>6</mn>
+            </mroot>
+            <mo>=</mo>
+            <mo>鈭�</mo>
+            <mn>2</mn>
+            <mo>锛�</mo>
+            <mo>卤</mo>
+            <mroot>
+              <mn>64</mn>
+              <mn>6</mn>
+            </mroot>
+            <mo>=</mo>
+            <mo>卤</mo>
+            <mn>2.</mn>
+          </math>
+          <p>璐熸暟娌℃湁鍋舵鏂规牴.</p>
+          <p>
+            0鐨勪换浣曟鏂规牴閮芥槸0锛岃浣�
+            <math display="0">
+              <mroot>
+                <mn>0</mn>
+                <mi>n</mi>
+              </mroot>
+              <mo>=</mo>
+              <mn>0</mn>
+            </math>.
+          </p>
+          <p>
+            褰㈠
+            <math display="0">
+              <mroot>
+                <mi>a</mi>
+                <mi>n</mi>
+              </mroot>
+              <mo stretchy="false">(</mo>
+              <mi>n</mi>
+              <mo>锛�</mo>
+              <mn>1</mn>
+            </math>锛�<i>n</i>锛�1锛�<i>n</i>鈭�<b>N</b><sub>+</sub>锛夌殑寮忓瓙鍙綔<b>鏍瑰紡</b>锛�<i>n</i>鍙綔<b>鏍规寚鏁�</b>锛�<i>a</i>鍙綔<b>琚紑鏂规暟</b>.
+          </p>
+          <p>鏍规嵁<i>n</i>娆℃柟鏍圭殑瀹氫箟锛屾牴寮忓叿鏈変笅鍒楁�ц川.</p>
+          <p>
+            锛�1锛�
+            <math display="0">
+              <msup>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mroot>
+                    <mi>a</mi>
+                    <mi>n</mi>
+                  </mroot>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+                <mrow>
+                  <mi>n</mi>
+                </mrow>
+              </msup>
+              <mo>=</mo>
+              <mi>a</mi>
+            </math>.
+          </p>
+          <p>
+            锛�2锛� 褰�<i>n</i>涓哄鏁版椂锛�<math display="0">
+              <mroot>
+                <msup>
+                  <mi>a</mi>
+                  <mrow>
+                    <mi>n</mi>
+                  </mrow>
+                </msup>
+                <mi>n</mi>
+              </mroot>
+              <mo>=</mo>
+              <mi>a</mi>
+            </math>锛�
+          </p>
+          <p>
+            褰�<i>n</i>涓哄伓鏁版椂锛�<math display="0">
+              <mroot>
+                <msup>
+                  <mi>a</mi>
+                  <mrow>
+                    <mi>n</mi>
+                  </mrow>
+                </msup>
+                <mi>n</mi>
+              </mroot>
+              <mo>=</mo>
+              <mrow>
+                <mo stretchy="false">|</mo>
+              </mrow>
+              <mi>a</mi>
+              <mrow>
+                <mo stretchy="false">|</mo>
+              </mrow>
+              <mo>=</mo>
+              <mrow data-mjx-texclass="INNER">
+                <mo data-mjx-texclass="OPEN">{</mo>
+                <mtable columnalign="left left" columnspacing="1em" rowspacing="4pt">
+                  <mtr>
+                    <mtd>
+                      <mi>a</mi>
+                      <mo>,</mo>
+                    </mtd>
+                    <mtd>
+                      <mi>a</mi>
+                      <mo>猢�</mo>
+                      <mn>0</mn>
+                      <mo>锛�</mo>
+                    </mtd>
+                  </mtr>
+                  <mtr>
+                    <mtd>
+                      <mo>鈭�</mo>
+                      <mi>a</mi>
+                      <mo>锛�</mo>
+                    </mtd>
+                    <mtd>
+                      <mi>a</mi>
+                      <mo>.</mo>
+                      <mo>&lt;</mo>
+                      <mn>0</mn>
+                    </mtd>
+                  </mtr>
+                </mtable>
+                <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+              </mrow>
+            </math>.
+          </p>
+        </div>
       </div>
     </div>
     <!-- 116 -->
     <div class="page-box" page="123">
       <div v-if="showPageList.indexOf(123) > -1">
-
         <ul class="page-header-odd fl al-end">
           <li>116</li>
           <li>鏁板.鍩虹妯″潡</li>
           <li>涓婂唽</li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <p>
+            <span class="zt-ls"><b>渚�1</b></span>銆�璁$畻.
+          </p>
+          <p class="p-btn" >
+            <span>锛�1锛�
+              <math display="0">
+                <mroot>
+                  <msup>
+                    <mn>5</mn>
+                    <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 v-if="isShowAnswer0" >
+            <span class="zt-ls"><b>瑙�</b></span>锛�1锛�<math display="0">
+              <mroot>
+                <msup>
+                  <mn>5</mn>
+                  <mrow>
+                    <mn>3</mn>
+                  </mrow>
+                </msup>
+                <mn>3</mn>
+              </mroot>
+              <mo>=</mo>
+              <mn>5</mn>
+            </math>锛�
+          </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>
+                      <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 v-if="isShowAnswer1" >
+            <span class="zt-ls"><b>瑙�</b></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>
+              <mo>=</mo>
+              <mo>鈭�</mo>
+              <mn>5</mn>
+            </math>锛�
+          </p>
+          <p class="p-btn" >
+            <span>
+              锛�3锛�
+              <math display="0">
+                <mroot>
+                  <msup>
+                    <mn>7</mn>
+                    <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 v-if="isShowAnswer2" >
+            <span class="zt-ls"><b>瑙�</b></span>
+            锛�3锛�
+            <math display="0">
+              <mroot>
+                <msup>
+                  <mrow data-mjx-texclass="INNER">
+                    <mo data-mjx-texclass="OPEN">(</mo>
+                    <mn>7</mn>
+                    <mo data-mjx-texclass="CLOSE">)</mo>
+                  </mrow>
+                  <mrow>
+                    <mn>4</mn>
+                  </mrow>
+                </msup>
+                <mn>4</mn>
+              </mroot>
+              <mo>=</mo>
+              <mn>7</mn>
+            </math>锛�
+          </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 v-if="isShowAnswer3" >
+            <span class="zt-ls"><b>瑙�</b></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>
+              <mo>=</mo>
+              <mrow data-mjx-texclass="INNER">
+                <mo data-mjx-texclass="OPEN">|</mo>
+                <mo>鈭�</mo>
+                <mn>7</mn>
+                <mo data-mjx-texclass="CLOSE">|</mo>
+              </mrow>
+              <mo>=</mo>
+              <mn>7</mn>
+            </math>锛�
+          </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="isShowAnswer4" >
+            <span class="zt-ls"><b>瑙�</b></span>
+            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>
+                <mn>81</mn>
+                <mn>4</mn>
+              </mroot>
+              <mo>=</mo>
+              <mo>卤</mo>
+              <mn>3</mn>
+            </math>.
+          </p>
+          <p>
+            <span class="zt-ls"><b>渚�2</b></span>銆�鍖栫畝.
+          </p>
+          <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>
+                    <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"
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+                  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>
+                <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>
+              <mo>=</mo>
+              <mn>3</mn>
+              <mo>鈭�</mo>
+              <mi>a</mi>
+            </math>锛�
+          </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"
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+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <p v-if="isShowAnswer6" >
+            <span class="zt-ls"><b>瑙�</b></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>
+              <mo>=</mo>
+              <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>
+              <mo>=</mo>
+              <mo>鈭�</mo>
+              <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>
+              <mo>=</mo>
+              <mrow>
+                <mi>蟺</mi>
+              </mrow>
+              <mo>鈭�</mo>
+              <mn>3</mn>
+            </math>.
+          </p>
+          <p class="left">
+            <img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" />
+          </p>
+          <p>
+            鍦ㄥ垵涓紝鎴戜滑鏇惧涔犺繃鏁存暟骞傜殑鐩稿叧鐭ヨ瘑.<i>a<sup>n</sup></i>锛�<i>n</i>鈭�<b>N</b><sub>+</sub>锛夌О涓�<i>a</i>鐨�<i>n</i>娆″箓锛�<i>a</i>鍙綔搴曟暟锛�<i>n</i>鍙綔鎸囨暟.
+          </p>
+          <p>
+            锛�1锛�
+            <math display="0">
+              <msup>
+                <mi>a</mi>
+                <mrow>
+                  <mi>n</mi>
+                </mrow>
+              </msup>
+              <mo>=</mo>
+              <munder>
+                <mrow data-mjx-texclass="OP">
+                  <munder>
+                    <mrow>
+                      <mi>a</mi>
+                      <mo>鈰�</mo>
+                      <mi>a</mi>
+                      <mo>鈰�</mo>
+                      <mi>a</mi>
+                      <mo>鈰�</mo>
+                      <mo>鈰�</mo>
+                      <mo>鈰�</mo>
+                      <mi>a</mi>
+                    </mrow>
+                    <mo>鈴�</mo>
+                  </munder>
+                </mrow>
+                <mrow>
+                  <mi>n</mi>
+                  <mo stretchy="false">鈫�</mo>
+                  <mi>a</mi>
+                </mrow>
+              </munder>
+              <mrow data-mjx-texclass="INNER">
+                <mo data-mjx-texclass="OPEN">(</mo>
+                <mi>n</mi>
+                <mo>鈭�</mo>
+                <msub>
+                  <mrow>
+                    <mi mathvariant="bold">N</mi>
+                  </mrow>
+                  <mrow>
+                    <mo>+</mo>
+                  </mrow>
+                </msub>
+                <mo data-mjx-texclass="CLOSE">)</mo>
+              </mrow>
+            </math>锛�
+          </p>
+          <p>锛�2锛� <i>a</i><sup>0</sup>=1锛�<i>a</i>鈮�0锛夛紱</p>
+          <p>
+            锛�3锛�
+            <math display="0">
+              <msup>
+                <mi>a</mi>
+                <mrow>
+                  <mo>鈭�</mo>
+                  <mi>n</mi>
+                </mrow>
+              </msup>
+              <mo>=</mo>
+              <mfrac>
+                <mn>1</mn>
+                <msup>
+                  <mi>a</mi>
+                  <mrow>
+                    <mi>n</mi>
+                  </mrow>
+                </msup>
+              </mfrac>
+              <mrow data-mjx-texclass="INNER">
+                <mo data-mjx-texclass="OPEN">(</mo>
+                <mi>a</mi>
+                <mo>鈮�</mo>
+                <mn>0</mn>
+                <mo>,</mo>
+                <mi>n</mi>
+                <mo>鈭�</mo>
+                <msub>
+                  <mrow>
+                    <mi mathvariant="bold">N</mi>
+                  </mrow>
+                  <mrow>
+                    <mo>+</mo>
+                  </mrow>
+                </msub>
+                <mo data-mjx-texclass="CLOSE">)</mo>
+              </mrow>
+            </math>.
+          </p>
+          <div class="bk">
+            <div class="bj1">
+              <p class="left">
+                <img class="img-gn1" alt="" src="../../assets/images/gn.jpg" />
+              </p>
+            </div>
+            <p class="block">鍒嗘暟鎸囨暟骞�</p>
+          </div>
+          <p>璇曟兂锛屽鏋滃箓鎸囨暟<i>n</i>鏄垎鏁版椂锛屾鏃剁殑鎸囨暟骞傚簲璇ュ浣曡〃绀哄憿锛�</p>
+          <p>
+            涓烘锛屾垜浠幇灏嗘暣鏁版寚鏁板箓鐨勬蹇佃繘琛屾帹骞匡紝鍒╃敤鍒氬涔犺繃鐨勬牴寮忔潵琛ㄧず鍒嗘暟鎸囨暟骞傦紝瑙勫畾<b>鍒嗘暟鎸囨暟骞�</b>鐨勬剰涔夊涓嬶紙涓虹畝鍖栬璁猴紝鎴戜滑绾﹀畾搴曟暟<i>a</i>锛�0锛�.
+          </p>
+          <math display="block">
+            <mtable columnspacing="1em" rowspacing="4pt">
+              <mtr>
+                <mtd>
+                  <msup>
+                    <mi>a</mi>
+                    <mrow>
+                      <mfrac>
+                        <mi>m</mi>
+                        <mi>n</mi>
+                      </mfrac>
+                    </mrow>
+                  </msup>
+                  <mo>=</mo>
+                  <mroot>
+                    <msup>
+                      <mi>a</mi>
+                      <mrow>
+                        <mi>m</mi>
+                      </mrow>
+                    </msup>
+                    <mi>n</mi>
+                  </mroot>
+                  <mrow data-mjx-texclass="INNER">
+                    <mo data-mjx-texclass="OPEN">(</mo>
+                    <mi>a</mi>
+                    <mo>&gt;</mo>
+                    <mn>0</mn>
+                    <mo>,</mo>
+                    <mi>m</mi>
+                    <mo>,</mo>
+                    <mi>n</mi>
+                    <mo>鈭�</mo>
+                    <msub>
+                      <mrow>
+                        <mi mathvariant="bold">N</mi>
+                      </mrow>
+                      <mrow>
+                        <mo>+</mo>
+                      </mrow>
+                    </msub>
+                    <mo>,</mo>
+                    <mi>n</mi>
+                    <mo>&gt;</mo>
+                    <mn>1</mn>
+                    <mo data-mjx-texclass="CLOSE">)</mo>
+                  </mrow>
+                  <mo>,</mo>
+                  <mi>m</mi>
+                  <mo>=</mo>
+                  <mn>1</mn>
+                  <mtext>&nbsp;鏃�, 鏈�&nbsp;</mtext>
+                  <msup>
+                    <mi>a</mi>
+                    <mrow>
+                      <mfrac>
+                        <mn>1</mn>
+                        <mi>n</mi>
+                      </mfrac>
+                    </mrow>
+                  </msup>
+                  <mo>=</mo>
+                  <mroot>
+                    <mi>a</mi>
+                    <mi>n</mi>
+                  </mroot>
+                  <mo>.</mo>
+                </mtd>
+              </mtr>
+              <mtr>
+                <mtd>
+                  <msup>
+                    <mi>a</mi>
+                    <mrow>
+                      <mo>鈭�</mo>
+                      <mfrac>
+                        <mi>m</mi>
+                        <mi>n</mi>
+                      </mfrac>
+                    </mrow>
+                  </msup>
+                  <mo>=</mo>
+                  <mfrac>
+                    <mn>1</mn>
+                    <msup>
+                      <mi>a</mi>
+                      <mrow>
+                        <mfrac>
+                          <mi>m</mi>
+                          <mi>n</mi>
+                        </mfrac>
+                      </mrow>
+                    </msup>
+                  </mfrac>
+                  <mo>=</mo>
+                  <mfrac>
+                    <mn>1</mn>
+                    <mroot>
+                      <msup>
+                        <mi>a</mi>
+                        <mrow>
+                          <mi>m</mi>
+                        </mrow>
+                      </msup>
+                      <mi>n</mi>
+                    </mroot>
+                  </mfrac>
+                  <mrow data-mjx-texclass="INNER">
+                    <mo data-mjx-texclass="OPEN">(</mo>
+                    <mi>a</mi>
+                    <mo>&gt;</mo>
+                    <mn>0</mn>
+                    <mo>,</mo>
+                    <mi>m</mi>
+                    <mo>,</mo>
+                    <mi>n</mi>
+                    <mo>鈭�</mo>
+                    <msub>
+                      <mrow>
+                        <mi mathvariant="bold">N</mi>
+                      </mrow>
+                      <mrow>
+                        <mo>+</mo>
+                      </mrow>
+                    </msub>
+                    <mo>,</mo>
+                    <mi>n</mi>
+                    <mo>&gt;</mo>
+                    <mn>1</mn>
+                    <mo data-mjx-texclass="CLOSE">)</mo>
+                  </mrow>
+                  <mo>.</mo>
+                </mtd>
+              </mtr>
+            </mtable>
+          </math>
+          <p>
+            杩欐牱锛屽箓鎸囨暟鐨勬蹇靛氨浠庢暣鏁版寚鏁板箓鎺ㄥ箍鍒颁簡鏈夌悊鏁版寚鏁板箓.鍙姣忎竴涓湁鐞嗘暟鎸囨暟骞傛湁鎰忎箟锛屾暣鏁版寚鏁板箓鐨勮繍绠楁�ц川瀵规湁鐞嗘暟鎸囨暟骞傚氨鍚屾牱閫傜敤.鍥犳锛屾垜浠垵涓�
+          </p>
+        </div>
       </div>
     </div>
     <!-- 117 -->
     <div class="page-box" page="124">
       <div v-if="showPageList.indexOf(124) > -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>
@@ -55,7 +945,409 @@
             <p><span>117</span></p>
           </li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <p class="t0">
+            瀛︿範杩囩殑鏁存暟鎸囨暟骞傜殑杩愮畻鎬ц川灏卞彲浠ユ帹骞垮埌鏈夌悊鏁版寚鏁板箓.
+          </p>
+          <p>璁�<i>a</i>锛�0锛�<i>b</i>锛�0锛�<i>m</i>锛�<i>n</i>鈭�<b>Q</b>锛屽垯</p>
+          <p>
+            锛�1锛� <i>a<sup>m</sup> a<sup>n</sup></i>=<i>a<sup>m+n</sup></i>锛�
+          </p>
+          <p>
+            锛�2锛夛紙<i>a<sup>m</sup></i>锛�<i><sup>n</sup></i>=<i>a<sup>mn</sup></i>锛�
+          </p>
+          <p>
+            锛�3锛夛紙<i>ab</i>锛�<i><sup>n</sup></i>=<i>a<sup>n</sup> b<sup>n</sup></i>.
+          </p>
+          <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 class="p-btn" >
+            <span>
+              锛�1锛�
+              <math display="0">
+                <mroot>
+                  <msup>
+                    <mi>a</mi>
+                    <mrow>
+                      <mn>3</mn>
+                    </mrow>
+                  </msup>
+                  <mn>4</mn>
+                </mroot>
+              </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 v-if="isShowAnswer7" >
+            <span class="zt-ls"><b>瑙�</b></span>锛�1锛�
+            <math display="0">
+              <mroot>
+                <msup>
+                  <mi>a</mi>
+                  <mrow>
+                    <mn>3</mn>
+                  </mrow>
+                </msup>
+                <mn>4</mn>
+              </mroot>
+              <mo>=</mo>
+              <msup>
+                <mi>a</mi>
+                <mrow>
+                  <mfrac>
+                    <mn>3</mn>
+                    <mn>4</mn>
+                  </mfrac>
+                </mrow>
+              </msup>
+            </math>锛�
+          </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 v-if="isShowAnswer8" >
+            <span class="zt-ls"><b>瑙�</b></span>锛�2锛�
+            <math display="0">
+              <mroot>
+                <msup>
+                  <mi>x</mi>
+                  <mrow>
+                    <mn>2</mn>
+                  </mrow>
+                </msup>
+                <mn>6</mn>
+              </mroot>
+              <mo>=</mo>
+              <msup>
+                <mi>x</mi>
+                <mrow>
+                  <mfrac>
+                    <mn>2</mn>
+                    <mn>6</mn>
+                  </mfrac>
+                </mrow>
+              </msup>
+            </math>锛涳紙娉ㄦ剰锛氭澶勪笉鑳藉寲绠�涓�<math display="0">
+              <msup>
+                <mi>x</mi>
+                <mrow>
+                  <mfrac>
+                    <mn>1</mn>
+                    <mn>3</mn>
+                  </mfrac>
+                </mrow>
+              </msup>
+            </math>锛�
+          </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="isShowAnswer9" >
+            <span class="zt-ls"><b>瑙�</b></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>
+              <mo>=</mo>
+              <mfrac>
+                <mn>1</mn>
+                <msup>
+                  <mn>5</mn>
+                  <mrow>
+                    <mfrac>
+                      <mn>3</mn>
+                      <mn>4</mn>
+                    </mfrac>
+                  </mrow>
+                </msup>
+              </mfrac>
+              <mo>=</mo>
+              <msup>
+                <mn>5</mn>
+                <mrow>
+                  <mo>鈭�</mo>
+                  <mfrac>
+                    <mn>3</mn>
+                    <mn>4</mn>
+                  </mfrac>
+                </mrow>
+              </msup>
+            </math>
+          </p>
+          <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 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 v-if="isShowAnswer10" >
+            <span class="zt-ls"><b>瑙�</b></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>
+              <mo>=</mo>
+              <mfrac>
+                <mn>1</mn>
+                <msup>
+                  <mn>27</mn>
+                  <mrow>
+                    <mfrac>
+                      <mn>1</mn>
+                      <mn>3</mn>
+                    </mfrac>
+                  </mrow>
+                </msup>
+              </mfrac>
+              <mo>=</mo>
+              <mfrac>
+                <mn>1</mn>
+                <mroot>
+                  <mn>27</mn>
+                  <mn>3</mn>
+                </mroot>
+              </mfrac>
+              <mo>=</mo>
+              <mfrac>
+                <mn>1</mn>
+                <mn>3</mn>
+              </mfrac>
+            </math>锛�
+          </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="isShowAnswer11" >
+            <span class="zt-ls"><b>瑙�</b></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>
+              <mo>=</mo>
+              <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>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+                <mrow>
+                  <mn>8</mn>
+                </mrow>
+              </msup>
+              <msup>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <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>
+              <mo>=</mo>
+              <msup>
+                <mi>a</mi>
+                <mrow>
+                  <mn>4</mn>
+                </mrow>
+              </msup>
+              <msup>
+                <mi>b</mi>
+                <mrow>
+                  <mo>鈭�</mo>
+                  <mn>6</mn>
+                </mrow>
+              </msup>
+              <mo>=</mo>
+              <mfrac>
+                <msup>
+                  <mi>a</mi>
+                  <mrow>
+                    <mn>4</mn>
+                  </mrow>
+                </msup>
+                <msup>
+                  <mi>b</mi>
+                  <mrow>
+                    <mn>6</mn>
+                  </mrow>
+                </msup>
+              </mfrac>
+            </math>.
+          </p>
+          <p class="left">
+            <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
+          </p>
+          <div class="bj">
+            <examinations :cardList="questionData[124]"  sourceType="json" v-if="questionData">
+            </examinations>
+          </div>
+        </div>
       </div>
     </div>
     <!-- 118 -->
@@ -66,41 +1358,1295 @@
           <li>鏁板.鍩虹妯″潡</li>
           <li>涓婂唽</li>
         </ul>
-
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <h3 id="c035">4.1.2 瀹炴暟鎸囨暟骞�<span class="fontsz2">锛烇紴锛�</span></h3>
+          <p class="left">
+            <img class="img-gn" alt="" src="../../assets/images/wttc.jpg" />
+          </p>
+          <p>
+            灏忓鎴戜滑瀛︿範浜嗚嚜鐒舵暟锛屽垵涓粠鑷劧鏁版嫇灞曞埌鏁存暟銆佹湁鐞嗘暟涔冭嚦瀹炴暟.绫讳技鍦帮紝鍦ㄥ涔犳湁鐞嗘暟鎸囨暟骞傜殑鍩虹涓婏紝鎴戜滑鍙互灏�<i>a<sup>x</sup></i>涓寚鏁�<i>x</i>鐨勫彇鍊艰寖鍥翠粠鏈夌悊鏁版嫇灞曞埌鍏ㄤ綋瀹炴暟锛屾鏃讹紝<i>a<sup>x</sup></i>鐨勬剰涔夋槸浠�涔堝憿锛熷<math
+              display="0">
+              <msup>
+                <mn>2</mn>
+                <mrow>
+                  <msqrt>
+                    <mn>3</mn>
+                  </msqrt>
+                </mrow>
+              </msup>
+            </math>锛�<math display="0">
+              <msup>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mfrac>
+                    <mn>1</mn>
+                    <mn>4</mn>
+                  </mfrac>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+                <mrow>
+                  <msqrt>
+                    <mn>2</mn>
+                  </msqrt>
+                </mrow>
+              </msup>
+            </math>锛屽畠浠槸涓�涓‘瀹氱殑鏁板悧锛熻兘鍚﹁绠楀嚭缁撴灉鍛紵
+          </p>
+          <p class="left">
+            <img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" />
+          </p>
+          <p>
+            瀹炴暟鎸囨暟骞� 浜嬪疄涓婏紝鎴戜滑鍙互閫氳繃绉戝璁$畻鍣ㄨ绠楀嚭<math display="0">
+              <msup>
+                <mn>2</mn>
+                <mrow>
+                  <msqrt>
+                    <mn>3</mn>
+                  </msqrt>
+                </mrow>
+              </msup>
+            </math>锛�<math display="0">
+              <msup>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mfrac>
+                    <mn>1</mn>
+                    <mn>4</mn>
+                  </mfrac>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+                <mrow>
+                  <msqrt>
+                    <mn>2</mn>
+                  </msqrt>
+                </mrow>
+              </msup>
+            </math>鐨勫�硷紙璇峰悓瀛︿滑鑷繁鍒╃敤绉戝璁$畻鍣ㄦ垨涓嬭浇璁$畻鏈鸿蒋浠惰繘琛岃绠楋級.濡傛灉绮剧‘鍒�0.01鏃讹紝<math display="0">
+              <msup>
+                <mn>2</mn>
+                <mrow>
+                  <msqrt>
+                    <mn>3</mn>
+                  </msqrt>
+                </mrow>
+              </msup>
+            </math>鐨勮繎浼煎�间负3.32锛�<math display="0">
+              <msup>
+                <mfrac>
+                  <mn>1</mn>
+                  <mn>4</mn>
+                </mfrac>
+                <mrow>
+                  <msqrt>
+                    <mn>2</mn>
+                  </msqrt>
+                </mrow>
+              </msup>
+            </math>鐨勮繎浼煎�间负0.14锛屽嵆琛ㄦ槑杩欎簺鏃犵悊鏁版寚鏁板箓閮芥槸涓�涓‘瀹氱殑瀹炴暟.杩欐牱锛屾垜浠皢鎸囨暟骞�<i>a<sup>x</sup></i>锛�<i>a</i>锛�0锛変腑鎸囨暟<i>x</i>鐨勫彇鍊艰寖鍥翠粠鏁存暟閫愭鎷撳睍鍒版湁鐞嗘暟銆佹棤鐞嗘暟锛屼箖鑷冲疄鏁�.褰�<i>x</i>涓轰换鎰忓疄鏁版椂锛�<b>瀹炴暟鎸囨暟骞�</b><i>a<sup>x</sup></i>锛�<i>a</i>锛�0锛夎〃绀轰竴涓‘瀹氬疄鏁�.鐜板疄鐢熸椿涓紝鎴戜滑閫氳繃绫绘瘮銆佽仈鎯炽�佺寽鎯崇瓑鏂瑰紡鍙垱鏂拌璁″嚭寰堝涓嶅悓鐨勪簨鐗╁拰妯″紡.
+          </p>
+          <p>
+            鏈夌悊鏁版寚鏁板箓鐨勮繍绠楁�ц川鍚屾牱閫傜敤浜庡疄鏁版寚鏁板箓鐨勮繍绠楁�ц川锛堣瘉鏄庣暐锛夛紝鍗冲綋<i>a</i>锛�0锛�<i>b</i>锛�0锛�<i>p</i>锛�<i>q</i>鈭�<b>R</b>鏃讹紝鏈�
+          </p>
+          <p>
+            锛�1锛� <i>a<sup>p</sup> a<sup>q</sup></i>=<i>a<sup>p+q</sup></i>锛�
+          </p>
+          <p>
+            锛�2锛夛紙<i>a<sup>p</sup></i>锛�<i><sup>q</sup></i>=<i>a<sup>pq</sup></i>锛�
+          </p>
+          <p>
+            锛�3锛夛紙<i>ab</i>锛�<i><sup>p</sup></i>=<i>a<sup>p</sup> b<sup>p</sup></i>.
+          </p>
+          <p>娉ㄦ剰锛氳繍绠楁�ц川鎴愮珛鐨勬潯浠舵槸姣忎釜瀹炴暟鎸囨暟骞傞兘鏈夋剰涔�.</p>
+        </div>
       </div>
     </div>
     <!-- 119 -->
     <div class="page-box" page="126">
       <div v-if="showPageList.indexOf(126) > -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>119</span></p>
+            <p><span>119-120</span></p>
           </li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <div class="bk">
+            <div class="bj1">
+              <p class="left">
+                <img class="img-gn1" alt="" src="../../assets/images/tbts.jpg" />
+              </p>
+            </div>
+            <p class="block">
+              瀵逛緥1锛�1锛�
+              棰橈紝鎴戜滑闇�瑕佸皢鏌愪簺搴曟暟鍙樺舰涓烘寚鏁板箓鐨勫舰寮忥紝浠ユ柟渚垮埄鐢ㄥ疄鏁版寚鏁板箓鐨勮繍绠楁硶鍒欒繘琛岃绠楁垨鑰呭寲绠�.
+            </p>
+          </div>
+          <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 class="p-btn" >
+            <span>
+              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>
+                  <msup>
+                    <mfrac>
+                      <mn>1</mn>
+                      <mn>27</mn>
+                    </mfrac>
+                    <mrow>
+                      <mo>鈭�</mo>
+                      <mfrac>
+                        <mn>1</mn>
+                        <mn>3</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�
+            </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="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>
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+                          <mo>鈭�</mo>
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+                      <mo>鈭�</mo>
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+                          <mo data-mjx-texclass="OPEN">(</mo>
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+                              <mn>4</mn>
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+                        <mrow data-mjx-texclass="INNER">
+                          <mo data-mjx-texclass="OPEN">[</mo>
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+                            <mrow data-mjx-texclass="INNER">
+                              <mo data-mjx-texclass="OPEN">(</mo>
+                              <mfrac>
+                                <mn>1</mn>
+                                <mn>3</mn>
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+                            <mrow>
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+                          <mo>鈭�</mo>
+                          <mfrac>
+                            <mn>1</mn>
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+                    <mtd>
+                      <mo>=</mo>
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+                          <mn>4</mn>
+                          <mo>脳</mo>
+                          <mfrac>
+                            <mn>1</mn>
+                            <mn>4</mn>
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+                      <mo>鈭�</mo>
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+                        <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>
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+                          <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>
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+                    <mtd>
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+                      <mo>鈭�</mo>
+                      <mn>3</mn>
+                      <mo>+</mo>
+                      <mn>1</mn>
+                      <mo>=</mo>
+                      <mn>0</mn>
+                      <mo>;</mo>
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+                  </mtr>
+                </mtable>
+              </math>
+            </p>
+          </div>
+          <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>
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+                        <mo>鈭�</mo>
+                        <mn>3</mn>
+                      </mrow>
+                    </msup>
+                    <msup>
+                      <mi>b</mi>
+                      <mrow>
+                        <mn>5</mn>
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+                    <mo data-mjx-texclass="CLOSE">)</mo>
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+                    <mfrac>
+                      <mn>1</mn>
+                      <mn>5</mn>
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+                  </mrow>
+                </msup>
+                <mo>鈰�</mo>
+                <msup>
+                  <mrow data-mjx-texclass="INNER">
+                    <mo data-mjx-texclass="OPEN">(</mo>
+                    <msup>
+                      <mi>a</mi>
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+                        <mn>2</mn>
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+                    <mfrac>
+                      <mn>1</mn>
+                      <mn>5</mn>
+                    </mfrac>
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+                <mo>梅</mo>
+                <msup>
+                  <mrow data-mjx-texclass="INNER">
+                    <mo data-mjx-texclass="OPEN">(</mo>
+                    <msup>
+                      <mi>a</mi>
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+                        <mfrac>
+                          <mn>5</mn>
+                          <mn>3</mn>
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+                    <mfrac>
+                      <mn>3</mn>
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+                    </mfrac>
+                  </mrow>
+                </msup>
+              </math>.
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+            <math display="">
+              <mtable columnalign="left" columnspacing="1em" rowspacing="4pt">
+                <mtr>
+                  <mtd>
+                    <mtext>锛�2锛�</mtext>
+                    <msup>
+                      <mrow data-mjx-texclass="INNER">
+                        <mo data-mjx-texclass="OPEN">(</mo>
+                        <msup>
+                          <mi>a</mi>
+                          <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>
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+                      <mrow>
+                        <mfrac>
+                          <mn>1</mn>
+                          <mn>5</mn>
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+                    <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>
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+                      <mrow>
+                        <mfrac>
+                          <mn>1</mn>
+                          <mn>5</mn>
+                        </mfrac>
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+                    </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>3</mn>
+                            </mfrac>
+                          </mrow>
+                        </msup>
+                        <mo data-mjx-texclass="CLOSE">)</mo>
+                      </mrow>
+                      <mrow>
+                        <mfrac>
+                          <mn>3</mn>
+                          <mn>5</mn>
+                        </mfrac>
+                      </mrow>
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+                <mtr>
+                  <mtd>
+                    <mo>=</mo>
+                    <msup>
+                      <mi>a</mi>
+                      <mrow>
+                        <mo>鈭�</mo>
+                        <mn>3</mn>
+                        <mo>脳</mo>
+                        <mfrac>
+                          <mn>1</mn>
+                          <mn>5</mn>
+                        </mfrac>
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+                    </msup>
+                    <msup>
+                      <mi>b</mi>
+                      <mrow>
+                        <mn>5</mn>
+                        <mo>脳</mo>
+                        <mfrac>
+                          <mn>1</mn>
+                          <mn>5</mn>
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+                    <msup>
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+                        <mn>2</mn>
+                        <mo>脳</mo>
+                        <mfrac>
+                          <mn>1</mn>
+                          <mn>5</mn>
+                        </mfrac>
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+                    <mo>梅</mo>
+                    <mrow data-mjx-texclass="INNER">
+                      <mo data-mjx-texclass="OPEN">(</mo>
+                      <msup>
+                        <mi>a</mi>
+                        <mrow>
+                          <mn>3</mn>
+                          <mo>脳</mo>
+                          <mfrac>
+                            <mn>3</mn>
+                            <mn>5</mn>
+                          </mfrac>
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+                      <msup>
+                        <mi>b</mi>
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+                          <mfrac>
+                            <mn>5</mn>
+                            <mn>3</mn>
+                          </mfrac>
+                          <mo>脳</mo>
+                          <mfrac>
+                            <mn>3</mn>
+                            <mn>5</mn>
+                          </mfrac>
+                        </mrow>
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+                        <mo>鈭�</mo>
+                        <mfrac>
+                          <mn>3</mn>
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+                        <mo>+</mo>
+                        <mfrac>
+                          <mn>2</mn>
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+                        </mfrac>
+                        <mo>鈭�</mo>
+                        <mfrac>
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+                    <msup>
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+                        <mn>1</mn>
+                        <mo>鈭�</mo>
+                        <mn>1</mn>
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+                <mtr>
+                  <mtd>
+                    <mo>=</mo>
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+                        <mo>鈭�</mo>
+                        <mn>2</mn>
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+                    <mo>=</mo>
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+                      <msup>
+                        <mi>a</mi>
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+                        </mrow>
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+                    </mfrac>
+                    <mo>.</mo>
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+                </mtr>
+              </mtable>
+            </math>
+          </p>
+          <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�.
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+              锛�1锛�
+              <math display="0">
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+              <span class="zt-ls"><b>瑙�</b></span>
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+            <math display="">
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+                <mtd>
+                  <mo>=</mo>
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+                      <mfrac>
+                        <mn>1</mn>
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+                      <mfrac>
+                        <mn>3</mn>
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+                      <mfrac>
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+                        <mn>1</mn>
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+                  <mo>=</mo>
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+              锛�2锛�
+              <math display="0">
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+                          <mo>鈭�</mo>
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+                      <mrow>
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+                        <mn>1</mn>
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+                  <mo>鈰�</mo>
+                  <msup>
+                    <mi>b</mi>
+                    <mrow>
+                      <mo>鈭�</mo>
+                      <mfrac>
+                        <mn>3</mn>
+                        <mn>2</mn>
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+          <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�.
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+              <span class="zt-ls"><b>瑙�</b></span> 浠�
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+            <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>
+                  <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>
+                  <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>
+          <div class="bj">
+            <examinations :cardList="questionData[127]"  sourceType="json" v-if="questionData">
+            </examinations>
+          </div>
+        </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"></div>
-      </div>
+    <div class="page-box hidePage" page="127">
     </div>
     <!-- 121 -->
     <div class="page-box" page="128">
       <div v-if="showPageList.indexOf(128) > -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>
@@ -109,7 +2655,76 @@
             <p><span>121</span></p>
           </li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <h3 id="c036">涔犻4.1<span class="fontsz2">锛烇紴锛�</span></h3>
+          <div class="bj">
+            <examinations :cardList="questionData[128]"  sourceType="json" v-if="questionData">
+            </examinations>
+          </div>
+          <h2 id="b023">
+            4.2 鎸囨暟鍑芥暟<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span>
+          </h2>
+          <h3 id="c037">
+            4.2.1 鎸囨暟鍑芥暟鐨勫畾涔変笌鍥惧儚<span class="fontsz2">锛烇紴锛�</span>
+          </h3>
+          <p class="left">
+            <img class="img-gn" alt="" src="../../assets/images/gcsk.jpg" />
+          </p>
+          <p>
+            鎯呭1锛氥�婂簞瀛惵峰ぉ涓嬬瘒銆嬩腑鏈変竴娈佃剭鐐欎汉鍙g殑璇濓細鈥滀竴灏轰箣妫帮紝鏃ュ彇鍏跺崐锛屼竾涓栦笉绔�.鈥濊繖閲岀殑鈥滀竴灏轰箣妫扳�濓紝鍗充竴灏猴紙闀垮害鍗曚綅锛�1灏虹害鍚�0.33
+            m锛夐暱鐨勬湪妫嶏紝鈥滄棩鍙栧叾鍗娾�濆嵆姣忓ぉ鍙栧畠鐨勪竴鍗�.鑻ヤ竴鐩粹�滄棩鍙栧叾鍗娾�濓紝鍒欐瘡澶╁墿涓嬬殑鏈ㄦ闀垮害灏辨槸涓嬮潰鐨勪竴鍒楁暟瀛�.
+          </p>
+          <math display="block">
+            <mfrac>
+              <mn>1</mn>
+              <mn>2</mn>
+            </mfrac>
+            <mo>,</mo>
+            <msup>
+              <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>
+              <mrow>
+                <mn>2</mn>
+              </mrow>
+            </msup>
+            <mo>,</mo>
+            <msup>
+              <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>
+              <mrow>
+                <mn>3</mn>
+              </mrow>
+            </msup>
+            <mo>,</mo>
+            <msup>
+              <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>
+              <mrow>
+                <mn>4</mn>
+              </mrow>
+            </msup>
+            <mo>,</mo>
+            <mo>鈰�</mo>
+          </math>
+        </div>
       </div>
     </div>
     <!-- 122 -->
@@ -120,13 +2735,214 @@
           <li>鏁板.鍩虹妯″潡</li>
           <li>涓婂唽</li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <p>
+            璁板彇鍒扮<i>x</i>澶╂椂鍓╀笅鐨勯暱搴︿负<i>y</i>锛岄偅涔�<i>y</i>涓�
+            <i>x</i>鐨勫嚱鏁板叧绯绘槸
+          </p>
+          <math display="block">
+            <mi>y</mi>
+            <mo>=</mo>
+            <msup>
+              <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>
+              <mrow>
+                <mi>x</mi>
+              </mrow>
+            </msup>
+            <mo>.</mo>
+          </math>
+          <p class="right">鈶�</p>
+          <p>
+            鍏朵腑鎸囨暟<i>x</i>鏄嚜鍙橀噺锛屽畾涔夊煙鏄�<i>x</i>鈭�<b>N</b><sub>+</sub>.
+          </p>
+          <p>
+            鎯呭2锛氱粏鑳炴瘡鍒嗚1娆″叾鏁伴噺鍙樹负鍘熸潵鐨勪袱鍊嶏紝鍒欐瘡娆″垎瑁傚悗鐨勭粏鑳炴暟閲忚琛�4-1.
+          </p>
+          <p class="img">琛�4-1</p>
+          <p class="center">
+            <img class="img-a" alt="" src="../../assets/images/0133-2.jpg" />
+          </p>
+          <p>
+            濡傛灉璁剧粏鑳炲垎瑁傜殑娆℃暟涓�<i>x</i>锛屽搴斿垎瑁傚悗鐨勭粏鑳炴暟閲忎负<i>y</i>锛岄偅涔�<i>y</i>涓�<i>x</i>鐨勫嚱鏁板叧绯绘槸
+          </p>
+          <math display="block">
+            <mi>y</mi>
+            <mo>=</mo>
+            <msup>
+              <mrow data-mjx-texclass="INNER">
+                <mo data-mjx-texclass="OPEN">(</mo>
+                <mn>2</mn>
+                <mo data-mjx-texclass="CLOSE">)</mo>
+              </mrow>
+              <mrow>
+                <mi>x</mi>
+              </mrow>
+            </msup>
+            <mo>.</mo>
+          </math>
+          <p class="right">鈶�</p>
+          <p>
+            鍏朵腑鎸囨暟<i>x</i>鏄嚜鍙橀噺锛屽畾涔夊煙鏄�<i>x</i>鈭�<b>N</b><sub>+</sub>.
+          </p>
+          <div class="bk">
+            <div class="bj1">
+              <p class="left">
+                <img class="img-gn1" alt="" src="../../assets/images/gn.jpg" />
+              </p>
+            </div>
+            <p class="block">鎸囨暟鍑芥暟</p>
+          </div>
+          <p>
+            濡傛灉鐢ㄥ瓧姣�<i>a</i>浠f浛涓婅堪鈶犫憽涓ゅ紡涓殑搴曟暟<math display="0">
+              <mfrac>
+                <mn>1</mn>
+                <mn>2</mn>
+              </mfrac>
+            </math>鍜�2锛岄偅涔堝嚱鏁�<math display="0">
+              <mi>y</mi>
+              <mo>=</mo>
+              <msup>
+                <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>
+                <mrow>
+                  <mi>x</mi>
+                </mrow>
+              </msup>
+            </math>鍜� <i>y</i>=2<i><sup>x</sup></i>灏卞彲浠ヨ〃绀轰负
+          </p>
+          <p class="center">
+            <i>y</i>=<i>a<sup>x</sup></i>
+          </p>
+          <p>
+            鐨勫舰寮忥紝鍏朵腑鎸囨暟<i>x</i>鏄嚜鍙橀噺锛屽簳鏁�<i>a</i>鏄竴涓ぇ浜�0涓斾笉绛変簬
+            1鐨勫父閲�.
+          </p>
+          <p class="left">
+            <img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" />
+          </p>
+          <p>
+            涓�鑸湴锛屽舰濡�<i>y</i>=<i>a<sup>x</sup></i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夌殑鍑芥暟鍙綔<b>鎸囨暟鍑芥暟</b>锛屽叾涓寚鏁�<i>x</i>鏄嚜鍙橀噺锛屽畾涔夊煙鏄�<b>R</b>.
+          </p>
+          <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 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 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 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="isShowAnswer18">
+            <span class="zt-ls"><b>瑙�</b></span>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>
+              <mo>鈭�</mo>
+              <mrow data-mjx-texclass="INNER">
+                <mo data-mjx-texclass="OPEN">(</mo>
+                <mo>鈭�</mo>
+                <mn>2</mn>
+                <mo data-mjx-texclass="CLOSE">)</mo>
+              </mrow>
+              <mo>=</mo>
+              <msup>
+                <mn>5</mn>
+                <mrow>
+                  <mo>鈭�</mo>
+                  <mn>2</mn>
+                </mrow>
+              </msup>
+              <mo>=</mo>
+              <mfrac>
+                <mn>1</mn>
+                <msup>
+                  <mn>5</mn>
+                  <mrow>
+                    <mn>2</mn>
+                  </mrow>
+                </msup>
+              </mfrac>
+              <mo>=</mo>
+              <mfrac>
+                <mn>1</mn>
+                <mn>25</mn>
+              </mfrac>
+            </math>锛�<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>
+              <mo>=</mo>
+              <msup>
+                <mn>5</mn>
+                <mrow>
+                  <mfrac>
+                    <mn>1</mn>
+                    <mn>2</mn>
+                  </mfrac>
+                </mrow>
+              </msup>
+              <mo>=</mo>
+              <msqrt>
+                <mn>5</mn>
+              </msqrt>
+            </math>.
+          </p>
+        </div>
       </div>
     </div>
     <!-- 123 -->
     <div class="page-box" page="130">
       <div v-if="showPageList.indexOf(130) > -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>
@@ -135,7 +2951,78 @@
             <p><span>123</span></p>
           </li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <div class="bk-hzjl">
+            <div class="bj1-hzjl">
+              <p class="left">
+                <img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
+              </p>
+            </div>
+            <examinations :cardList="questionData[130]"  sourceType="json" v-if="questionData">
+            </examinations>
+          </div>
+          <div class="bk">
+            <div class="bj1">
+              <p class="left">
+                <img class="img-gn1" alt="" src="../../assets/images/zshg.jpg" />
+              </p>
+            </div>
+            <p class="block">
+              鍒濅腑鎴戜滑瀛︿範浜嗘姣斾緥鍑芥暟銆佸弽姣斾緥鍑芥暟鍜屼簩娆″嚱鏁帮紝閫氳繃鎻忕偣娉曠敾鍑哄畠浠殑鍥惧儚鍒嗗埆鏄洿绾裤�佸弻鏇茬嚎鍜屾姏鐗╃嚎锛堝鍥�4-1鎵�绀猴級.鎴戜滑鍙被姣斿�熼壌瀛︿範涓婅堪鍑芥暟鐨勭粡楠岋紝鐢诲嚭鎸囨暟鍑芥暟鐨勫浘鍍忥紝鍐嶅埄鐢ㄥ浘鍍忎笌瑙f瀽寮忥紝鐮旂┒鍏跺崟璋冩�с�佸鍋舵�х瓑.
+            </p>
+            <p class="center">
+              <img class="img-a" alt="" src="../../assets/images/0134-3.jpg" />
+            </p>
+            <p class="img">鍥�4-1</p>
+          </div>
+          <p><b>绫绘瘮褰掔撼</b></p>
+          <p>
+            涓庡垵涓敾浜屾鍑芥暟鍥惧儚涓�鏍凤紝涔熷彲鐢ㄦ弿鐐规硶鐢诲嚭鎸囨暟鍑芥暟鐨勫浘鍍�.涓嬮潰鎴戜滑浠�<i>y</i>=2<i><sup>x</sup></i>鍜�<math display="0">
+              <mi>y</mi>
+              <mo>=</mo>
+              <msup>
+                <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>
+                <mrow>
+                  <mi>x</mi>
+                </mrow>
+              </msup>
+            </math>涓轰緥锛岀敾鍑哄叾鍑芥暟鍥惧儚.
+          </p>
+          <p>绗竴姝ワ細鍒楄〃锛堝琛�4-2鎵�绀猴級.</p>
+          <p class="img">琛�4-2</p>
+          <p class="center">
+            <img class="img-a" alt="" src="../../assets/images/0134-5.jpg" />
+          </p>
+          <p>
+            绗簩姝ワ細鎻忕偣锛屽苟涓旂敤鍏夋粦鐨勬洸绾胯繛鎺ユ墍鎻忕殑鐐癸紝鐢诲嚭瀹冧滑鐨勫浘鍍忥紙濡傚浘4-2鎵�绀猴級.
+          </p>
+          <p>
+            鍒╃敤鐩稿悓鏂规硶锛屾垜浠繕鍙互鍦ㄥ悓涓�骞抽潰鐩磋鍧愭爣绯讳腑鐢诲嚭<math display="0">
+              <mi>y</mi>
+              <mo>=</mo>
+              <msup>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mfrac>
+                    <mn>2</mn>
+                    <mn>5</mn>
+                  </mfrac>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+                <mrow>
+                  <mi>x</mi>
+                </mrow>
+              </msup>
+            </math>锛�
+          </p>
+        </div>
       </div>
     </div>
     <!-- 124 -->
@@ -146,14 +3033,127 @@
           <li>鏁板.鍩虹妯″潡</li>
           <li>涓婂唽</li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <math display="0">
+            <mi>y</mi>
+            <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� <i>y</i>=2.3<i><sup>x</sup></i>锛�<i>y</i>=3<i><sup>x</sup></i>鐨勫浘鍍忥紝濡傚浘4-3鎵�绀�.
+          <ul class="fl">
+            <li style="margin-top: 30px">
+              <p class="center">
+                <img class="img-a" alt="" src="../../assets/images/0135-2.jpg" />
+              </p>
+              <p class="img">鍥�4-2</p>
+            </li>
+            <li>
+              <p class="center">
+                <img class="img-b" alt="" src="../../assets/images/0135-3.jpg" />
+              </p>
+              <p class="img">鍥�4-3</p>
+            </li>
+          </ul>
+          <h3 id="c038">
+            4.2.2 鎸囨暟鍑芥暟鐨勬�ц川<span class="fontsz2">锛烇紴锛�</span>
+          </h3>
+          <p class="left">
+            <img class="img-gn" alt="" src="../../assets/images/gcsk.jpg" />
+          </p>
+          <p>
+            瑙傚療鎸囨暟鍑芥暟鐨勫浘鍍忥紝鎻忚堪杩欎簺鍥惧儚鍦ㄤ綅缃�佸叕鍏辩偣鍜屽彉鍖栬秼鍔跨瓑鏂归潰鐨勫叡鎬х壒寰�.
+          </p>
+          <p>
+            锛�1锛� 鍥句腑鎵�鏈夋寚鏁板嚱鏁板浘鍍忓潎鍦�<i>x</i>杞寸殑涓婃柟锛�<b>浣嶇疆鐗瑰緛</b>锛夛紱
+          </p>
+          <p>
+            锛�2锛� 鍥句腑鎵�鏈夋寚鏁板嚱鏁板浘鍍忛兘缁忚繃瀹氱偣锛�0锛�1锛夛紙<b>鍏叡鐐圭壒寰�</b>锛夛紱
+          </p>
+          <p>
+            锛�3锛�
+            鍦ㄥ畾涔夊煙鍐咃紝鎸囨暟鍑芥暟<i>y</i>=2<i><sup>x</sup></i>锛�<i>y</i>=2.3<i><sup>x</sup></i>锛�<i>y</i>=3<i><sup>x</sup></i>鍥惧儚浠庡乏鍚戝彸鍒嗗埆閫愭笎涓婂崌锛屽湪绗簩璞¢檺鍐呭悜宸︿笌<i>x</i>杞存棤闄愭帴杩戯紱鎸囨暟鍑芥暟<math
+              display="0">
+              <mi>y</mi>
+              <mo>=</mo>
+              <msup>
+                <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>
+                <mrow>
+                  <mi>x</mi>
+                </mrow>
+              </msup>
+            </math>锛�<math display="0">
+              <mi>y</mi>
+              <mo>=</mo>
+              <msup>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mfrac>
+                    <mn>2</mn>
+                    <mn>5</mn>
+                  </mfrac>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+                <mrow>
+                  <mi>x</mi>
+                </mrow>
+              </msup>
+            </math>锛�<math display="0">
+              <mi>y</mi>
+              <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>鍥惧儚浠庡乏鍚戝彸鍒嗗埆閫愭笎涓嬮檷锛屽湪绗竴璞¢檺鍐呭悜鍙充笌<i>x</i>杞存棤闄愭帴杩戯紙<b>鍙樺寲瓒嬪娍鐗瑰緛</b>锛�.
+          </p>
+          <p>
+            鎴戜滑瑙傚療鍒嗘瀽鍙戠幇锛屾寚鏁板嚱鏁�<i>y</i>=<i>a<sup>x</sup></i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夌殑鍥惧儚鎸夊簳鏁�<i>a</i>鐨勫彇鍊硷紝鍙垎涓�0锛�<i>a</i>锛�1鍜�<i>a</i>锛�1涓ょ绫诲瀷.
+          </p>
+          <p class="left">
+            <img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" />
+          </p>
+          <p>
+            涓�鑸湴锛屾寚鏁板嚱鏁�<i>y</i>=<i>a<sup>x</sup></i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夊叿鏈変笅鍒楁�ц川.
+          </p>
+          <p>锛�1锛� 鍑芥暟鐨勫畾涔夊煙涓�<i>R</i>锛屽�煎煙涓猴紙0锛�+鈭烇級锛�</p>
+          <p>锛�2锛� 褰�<i>x</i>=0鏃讹紝鍑芥暟鍊�<i>y</i>=1锛�</p>
+          <p>
+            锛�3锛�
+            褰�<i>a</i>锛�1鏃讹紝鍑芥暟鍦紙-鈭烇紝+鈭烇級鍐呮槸澧炲嚱鏁帮紱褰�0锛�<i>a</i>锛�1鏃讹紝鍑芥暟鍦紙-鈭烇紝+鈭烇級鍐呮槸鍑忓嚱鏁�.
+          </p>
+        </div>
       </div>
     </div>
     <!-- 125 -->
     <div class="page-box" page="132">
       <div v-if="showPageList.indexOf(132) > -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>
@@ -162,37 +3162,430 @@
             <p><span>125</span></p>
           </li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <p>
+            鎸囨暟鍑芥暟<i>y</i>=<i>a<sup>x</sup></i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夌殑鍥惧儚鍜屾�ц川鍙互鎬荤粨濡傝〃4-3鎵�绀�.
+          </p>
+          <p class="img">琛�4-3</p>
+          <p class="center">
+            <img class="img-a" alt="" src="../../assets/images/0136-1.jpg" />
+          </p>
+          <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>.
+          </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<i>y</i>=2脳3<i><sup>x</sup></i>
+            </p>
+            <p class="block">
+              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>
+          <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">
+                <img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
+              </p>
+            </div>
+            <examinations :cardList="questionData[131]"  sourceType="json" v-if="questionData">
+            </examinations>
+          </div>
+        </div>
       </div>
     </div>
     <!-- 126 -->
     <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>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <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 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>
+          <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>
+          <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>
+          <div v-if="isShowAnswer21" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>
+              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 class="center">
+                <img class="img-f" alt="" src="../../assets/images/0137-8.jpg" />
+              </p>
+              <p class="img">鍥�4-6</p>
+          </div>
+          <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="isShowAnswer22" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></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>
+                <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 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>
+          <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>
+          <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="isShowAnswer24" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>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 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>
+          <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>
+                <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>
+          <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>
+          <div v-if="isShowAnswer27" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>
+              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>
+          <div class="bj">
+            <examinations :cardList="questionData[134]"  sourceType="json" v-if="questionData">
+            </examinations>
+          </div>
+        </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"></div>
-      </div>
+    <div class="page-box hidePage" page="134">
     </div>
-
     <!-- 128 -->
     <div class="page-box" page="135">
       <div v-if="showPageList.indexOf(135) > -1">
@@ -201,15 +3594,18 @@
           <li>鏁板.鍩虹妯″潡</li>
           <li>涓婂唽</li>
         </ul>
-
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <h3 id="c039">涔犻4.2<span class="fontsz2">锛烇紴锛�</span></h3>
+          <div class="bj">
+            <examinations :cardList="questionData[135]"  sourceType="json" v-if="questionData">
+            </examinations>
+          </div>
+        </div>
       </div>
     </div>
-
     <!-- 129 -->
     <div class="page-box" page="136">
       <div v-if="showPageList.indexOf(136) > -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>
@@ -218,11 +3614,56 @@
             <p><span>129</span></p>
           </li>
         </ul>
-
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <h2 id="b024">
+            4.3 瀵规暟<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span>
+          </h2>
+          <h3 id="c040">4.3.1 瀵规暟鐨勫畾涔�<span class="fontsz2">锛烇紴锛�</span></h3>
+          <p class="left">
+            <img class="img-gn" alt="" src="../../assets/images/wttc.jpg" />
+          </p>
+          <p>
+            鍦ㄤ笂涓�鑺傗�滆瀵熸�濊�冣�濈殑鎯呭1涓紝鎴戜滑鎻愬埌浜嗐�婂簞瀛惵峰ぉ涓嬬瘒銆嬩腑鐨勨�滀竴灏轰箣妫帮紝鏃ュ彇鍏跺崐锛屼竾涓栦笉绔��.鐜板凡鐭モ�滀竴灏轰箣妫扳�濆墿涓嬪叓鍒嗕箣涓�灏猴紝璇烽棶杩囧幓浜嗗嚑澶╋紵濡傛灉鏄墿涓�<i>N</i>灏哄憿锛�
+          </p>
+          <div class="bk">
+            <div class="bj1">
+              <p class="left">
+                <img class="img-gn1" alt="" src="../../assets/images/gn.jpg" />
+              </p>
+            </div>
+            <p class="block">瀵规暟</p>
+            <p class="block">搴曟暟</p>
+            <p class="block">鐪熸暟</p>
+            <p class="block">鎸囨暟寮�</p>
+            <p class="block">瀵规暟寮�</p>
+            <p class="block">甯哥敤瀵规暟</p>
+            <p class="block">鑷劧瀵规暟</p>
+          </div>
+          <p class="left">
+            <img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" />
+          </p>
+          <p>
+            涓�鑸湴锛屽鏋�<i>a<sup>x</sup></i>=<i>N</i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夛紝閭d箞鏁�<i>x</i>鍙綔浠�<i>a</i>涓哄簳<i>N</i>鐨�<b>瀵规暟</b>锛岃浣�
+          </p>
+          <p class="center"><i>x</i>=log<sub>a</sub><i>N</i>.</p>
+          <p>
+            鍏朵腑<i>a</i>鍙綔瀵规暟鐨�<b>搴曟暟</b>锛堢畝绉板簳锛夛紝<i>N</i>鍙綔<b>鐪熸暟</b>.
+          </p>
+          <p>
+            渚嬪锛�2<sup>3</sup>=8锛屾墍浠�3灏辨槸浠�2涓哄簳8鐨勫鏁帮紝璁颁綔3=log
+            <sub>2</sub>8锛涘啀濡傦紝2<i><sup>x</sup></i>=<i>N</i>锛屾墍浠�<i>x</i>鏄互2涓哄簳<i>N</i>鐨勫鏁帮紝璁颁綔<i>x</i>=log
+            <sub>2</sub><i>N</i>.
+          </p>
+          <p>
+            寮忓瓙<i>a<sup>b</sup></i>=<i>N</i>鍙綔<b>鎸囨暟寮�</b>锛宭og
+            <i><sub>a</sub>N</i>=<i>b</i>鍙綔<b>瀵规暟寮�</b>.瀹冧滑鐨勫叧绯诲涓�.
+          </p>
+          <p class="center">
+            <img class="img-c" alt="" src="../../assets/images/0140-3.jpg" />
+          </p>
+        </div>
       </div>
     </div>
-
     <!-- 130 -->
     <div class="page-box" page="137">
       <div v-if="showPageList.indexOf(137) > -1">
@@ -231,14 +3672,283 @@
           <li>鏁板.鍩虹妯″潡</li>
           <li>涓婂唽</li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <p>
+            閫氬父锛屾垜浠妸浠�10涓哄簳鐨勫鏁板彨浣�<b>甯哥敤瀵规暟</b>锛�<i>N</i>鐨勫父鐢ㄥ鏁發og
+            <sub>10</sub><i>N</i>绠�璁颁綔lg<i>N</i>.渚嬪锛宭og<sub>10</sub>5绠�璁颁綔lg5.
+          </p>
+          <p>
+            鍙﹀锛屽湪绉戞妧銆佺粡娴庝互鍙婄ぞ浼氱敓娲讳腑缁忓父浣跨敤鏃犵悊鏁癳锛屽畠鐨勫�间负2.718
+            28鈥︼紝浠涓哄簳鐨勫鏁板彨浣�<b>鑷劧瀵规暟</b>.<i>N</i>鐨勮嚜鐒跺鏁發og
+            <sub>e</sub><i>N</i>绠�璁颁綔ln<i>N</i>.渚嬪锛宭og<sub>e</sub>8绠�璁颁綔ln8.
+          </p>
+          <p>鏍规嵁瀵规暟鐨勫畾涔夛紝瀵规暟鏈変互涓嬫�ц川.</p>
+          <p>锛�1锛� 闆跺拰璐熸暟娌℃湁瀵规暟锛�</p>
+          <p>
+            锛�2锛� log<i><sub>a</sub></i>1=0锛屽嵆1鐨勫鏁颁负0锛�
+          </p>
+          <p>
+            锛�3锛� log<i><sub>a</sub>a</i>=1锛屽嵆搴曟暟鐨勫鏁颁负1.
+          </p>
+          <div class="bk-hzjl">
+            <div class="bj1-hzjl">
+              <p class="left">
+                <img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
+              </p>
+            </div>
+            <examinations :cardList="questionData[137]"  sourceType="json" v-if="questionData">
+            </examinations>
+          </div>
+          <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�
+            <math display="0">
+              <msup>
+                <mn>8</mn>
+                <mrow>
+                  <mfrac>
+                    <mn>4</mn>
+                    <mn>3</mn>
+                  </mfrac>
+                </mrow>
+              </msup>
+              <mo>=</mo>
+              <mn>16</mn>
+            </math>锛涳紙3锛� 10<sup>-2</sup>=0.01.
+          </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>
+                <mi>log</mi>
+                <mrow>
+                  <mn>8</mn>
+                </mrow>
+              </msub>
+              <mn>16</mn>
+              <mo>=</mo>
+              <mfrac>
+                <mn>4</mn>
+                <mn>3</mn>
+              </mfrac>
+            </math>锛涳紙3锛� lg0.01=-2.
+          </p>
+          <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�
+            <math display="0">
+              <msub>
+                <mi>log</mi>
+                <mrow>
+                  <mfrac>
+                    <mn>1</mn>
+                    <mn>3</mn>
+                  </mfrac>
+                </mrow>
+              </msub>
+              <mfrac>
+                <mn>1</mn>
+                <mn>27</mn>
+              </mfrac>
+              <mo>=</mo>
+              <mn>3</mn>
+            </math>锛涳紙3锛� <i>ln</i>1=0.
+          </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>
+                <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>=</mo>
+              <mfrac>
+                <mn>1</mn>
+                <mn>27</mn>
+              </mfrac>
+            </math>锛涳紙3锛� <i>e</i><sup>0</sup>=1.
+          </p>
+          <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�
+            <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>.
+          </p>
+          <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>
+                  <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>
+          <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>
+          <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>
-
     <!-- 131 -->
     <div class="page-box" page="138">
       <div v-if="showPageList.indexOf(138) > -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>
@@ -247,26 +3957,792 @@
             <p><span>131</span></p>
           </li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <p class="left">
+            <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
+          </p>
+          <div class="bj">
+            <examinations :cardList="questionData[138]"  sourceType="json" v-if="questionData">
+            </examinations>
+          </div>
+          <h3 id="c041">
+            4.3.2 瀵规暟鐨勮繍绠楁�ц川<span class="fontsz2">锛烇紴锛�</span>
+          </h3>
+          <p class="left">
+            <img class="img-gn" alt="" src="../../assets/images/gcsk.jpg" />
+          </p>
+          <p>
+            鍒╃敤瀵规暟寮忎笌鎸囨暟寮忕殑鍏崇郴锛屽~鍐欒〃4-4锛岀寽鎯冲鏁扮殑杩愮畻鎬ц川锛屽苟涓庡悓瀛︿氦娴�.
+          </p>
+          <p class="img">琛�4-4</p>
+          <p class="center">
+            <img class="img-a" alt="" src="../../assets/images/0142-8.jpg" />
+          </p>
+        </div>
       </div>
     </div>
-
     <!-- 132 -->
     <div class="page-box" page="139">
       <div v-if="showPageList.indexOf(139) > -1">
-
         <ul class="page-header-odd fl al-end">
           <li>132</li>
           <li>鏁板.鍩虹妯″潡</li>
           <li>涓婂唽</li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <p class="left">
+            <img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" />
+          </p>
+          <p>鎴戜滑鍙互寰楀埌涓や釜姝f暟鐨勭Н銆佸晢銆佸箓鐨勫鏁拌繍绠楁�ц川.</p>
+          <p>
+            锛�1锛�
+            绉殑瀵规暟锛�<b>涓や釜姝f暟绉殑瀵规暟锛岀瓑浜庡悓涓�搴曟暟鐨勮繖涓や釜鏁扮殑瀵规暟鐨勫拰</b>锛屽嵆
+          </p>
+          <p class="center">
+            log<i><sub>a</sub></i>锛�<i>MN</i>锛�=log<i><sub>a</sub>M</i>+log
+            <i><sub>a</sub>N</i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛�.
+          </p>
+          <p>
+            <b>璇佹槑</b> 璁緇og<i><sub>a</sub>M</i>=<i>p</i>锛宭og<i><sub>a</sub>N</i>=<i>q</i>锛�
+          </p>
+          <p>
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+          </p>
+          <p>
+            鎵�浠� <i>MN</i>=<i>a<sup>p</sup> a<sup>q</sup></i>=<i>a<sup>p+q</sup></i>.
+          </p>
+          <p>鎶婃寚鏁板紡鍖栦负瀵规暟寮忥紝寰�</p>
+          <p class="center">
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+          </p>
+          <p>
+            锛�2锛�
+            鍟嗙殑瀵规暟锛�<b>涓や釜姝f暟鍟嗙殑瀵规暟锛岀瓑浜庡悓涓�搴曟暟鐨勮闄ゆ暟鐨勫鏁板噺鍘婚櫎鏁扮殑瀵规暟锛�</b>鍗�
+          </p>
+          <math display="block">
+            <msub>
+              <mi>log</mi>
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+            <mo data-mjx-texclass="NONE">鈦�</mo>
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+              <mi mathvariant="bold">N</mi>
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+            <mo>=</mo>
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+          </math>
+          <p>
+            锛�3锛�
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+          </p>
+          <p class="center">
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+          </p>
+          <p>
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+          </p>
+          <div class="bk-hzjl">
+            <div class="bj1-hzjl">
+              <p class="left">
+                <img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
+              </p>
+            </div>
+            <examinations :cardList="questionData[139]"  sourceType="json" v-if="questionData">
+            </examinations>
+          </div>
+          <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)">
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+            </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">
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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>
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+                  </msup>
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+                  <mo data-mjx-texclass="CLOSE">)</mo>
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+                <mo>=</mo>
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+                <mi>z</mi>
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+              锛�2锛�<math display="0">
+                <msub>
+                  <mi>log</mi>
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+                    <mi>a</mi>
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+                <mo data-mjx-texclass="NONE">鈦�</mo>
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+            <math display="">
+              <mo stretchy="false">锛�2锛�</mo>
+              <msub>
+                <mi>log</mi>
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+                </msup>
+                <mrow>
+                  <mi>y</mi>
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+              </mfrac>
+              <mo>=</mo>
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+              <mo data-mjx-texclass="NONE">鈦�</mo>
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+              <msub>
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+                    <mi>z</mi>
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+                </mfrac>
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+            </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>
+          <p class="left1" v-if="isShowAnswer35" >
+            <math display="">
+              <mo stretchy="false">锛�3锛�</mo>
+              <msub>
+                <mi>log</mi>
+                <mrow>
+                  <mi>a</mi>
+                </mrow>
+              </msub>
+              <mo data-mjx-texclass="NONE">鈦�</mo>
+              <mfrac>
+                <msqrt>
+                  <mi>x</mi>
+                </msqrt>
+                <mrow>
+                  <msup>
+                    <mi>y</mi>
+                    <mrow>
+                      <mn>2</mn>
+                    </mrow>
+                  </msup>
+                  <mi>z</mi>
+                </mrow>
+              </mfrac>
+              <mo>=</mo>
+              <msub>
+                <mi>log</mi>
+                <mrow>
+                  <mi>a</mi>
+                </mrow>
+              </msub>
+              <mo data-mjx-texclass="NONE">鈦�</mo>
+              <msqrt>
+                <mi>x</mi>
+              </msqrt>
+              <mo>鈭�</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>y</mi>
+                  <mrow>
+                    <mn>2</mn>
+                  </mrow>
+                </msup>
+                <mi>z</mi>
+                <mo data-mjx-texclass="CLOSE">)</mo>
+              </mrow>
+              <mo>=</mo>
+              <mfrac>
+                <mn>1</mn>
+                <mn>2</mn>
+              </mfrac>
+              <msub>
+                <mi>log</mi>
+                <mrow>
+                  <mi>a</mi>
+                </mrow>
+              </msub>
+              <mo data-mjx-texclass="NONE">鈦�</mo>
+              <mi>x</mi>
+              <mo>鈭�</mo>
+              <mn>2</mn>
+              <msub>
+                <mi>log</mi>
+                <mrow>
+                  <mi>a</mi>
+                </mrow>
+              </msub>
+              <mo data-mjx-texclass="NONE">鈦�</mo>
+              <mi>y</mi>
+              <mo>鈭�</mo>
+              <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>
+            <span class="zt-ls"><b>渚�2</b></span>銆�璁$畻.
+          </p>
+          <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 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>
+                  <mrow>
+                    <mn>5</mn>
+                  </mrow>
+                </msub>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <msup>
+                  <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>
+          </div>
+          <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 v-if="isShowAnswer37" class="left1">
+            <math display="">
+              <mo stretchy="false">锛�2锛�</mo>
+              <msub>
+                <mi>log</mi>
+                <mrow>
+                  <mn>3</mn>
+                </mrow>
+              </msub>
+              <mo data-mjx-texclass="NONE">鈦�</mo>
+              <mrow data-mjx-texclass="INNER">
+                <mo data-mjx-texclass="OPEN">(</mo>
+                <msup>
+                  <mn>9</mn>
+                  <mrow>
+                    <mn>3</mn>
+                  </mrow>
+                </msup>
+                <mo>脳</mo>
+                <msup>
+                  <mn>3</mn>
+                  <mrow>
+                    <mn>5</mn>
+                  </mrow>
+                </msup>
+                <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>
+              <msup>
+                <mn>9</mn>
+                <mrow>
+                  <mn>3</mn>
+                </mrow>
+              </msup>
+              <mo>+</mo>
+              <msub>
+                <mi>log</mi>
+                <mrow>
+                  <mn>3</mn>
+                </mrow>
+              </msub>
+              <mo data-mjx-texclass="NONE">鈦�</mo>
+              <msup>
+                <mn>3</mn>
+                <mrow>
+                  <mn>5</mn>
+                </mrow>
+              </msup>
+              <mo>=</mo>
+              <msub>
+                <mi>log</mi>
+                <mrow>
+                  <mn>3</mn>
+                </mrow>
+              </msub>
+              <mo data-mjx-texclass="NONE">鈦�</mo>
+              <msup>
+                <mn>3</mn>
+                <mrow>
+                  <mn>6</mn>
+                </mrow>
+              </msup>
+              <mo>+</mo>
+              <msub>
+                <mi>log</mi>
+                <mrow>
+                  <mn>3</mn>
+                </mrow>
+              </msub>
+              <mo data-mjx-texclass="NONE">鈦�</mo>
+              <msup>
+                <mn>3</mn>
+                <mrow>
+                  <mn>5</mn>
+                </mrow>
+              </msup>
+              <mo>=</mo>
+              <mn>6</mn>
+              <mo>+</mo>
+              <mn>5</mn>
+              <mo>=</mo>
+              <mn>11</mn>
+              <mo>;</mo>
+            </math>
+          </p>
+          <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>
+          <p v-if="isShowAnswer38" class="left1">
+            <math display="">
+              <mo stretchy="false">锛�3锛�</mo>
+              <msub>
+                <mi>log</mi>
+                <mrow>
+                  <mn>7</mn>
+                </mrow>
+              </msub>
+              <mo data-mjx-texclass="NONE">鈦�</mo>
+              <mn>56</mn>
+              <mo>鈭�</mo>
+              <msub>
+                <mi>log</mi>
+                <mrow>
+                  <mn>7</mn>
+                </mrow>
+              </msub>
+              <mo data-mjx-texclass="NONE">鈦�</mo>
+              <mn>8</mn>
+              <mo>=</mo>
+              <msub>
+                <mi>log</mi>
+                <mrow>
+                  <mn>7</mn>
+                </mrow>
+              </msub>
+              <mo data-mjx-texclass="NONE">鈦�</mo>
+              <mfrac>
+                <mn>56</mn>
+                <mn>8</mn>
+              </mfrac>
+              <mo>=</mo>
+              <msub>
+                <mi>log</mi>
+                <mrow>
+                  <mn>7</mn>
+                </mrow>
+              </msub>
+              <mo data-mjx-texclass="NONE">鈦�</mo>
+              <mn>7</mn>
+              <mo>=</mo>
+              <mn>1</mn>
+              <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>
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@@ -276,10 +4752,217 @@
           </li>
         </ul>
 
-        <div class="padding-116"></div>
+        <div class="padding-116">
+
+
+
+          <p class="left">
+            <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
+          </p>
+          <div class="bj">
+            <examinations :cardList="questionData[140]"  sourceType="json" inputBc="#d3edfa" v-if="questionData">
+            </examinations>
+          </div>
+          <h3 id="c042">
+            4.3.3锛堥�夊锛夋崲搴曞叕寮忋�佸鏁版亽绛夊紡<span class="fontsz2">锛烇紴锛�</span>
+          </h3>
+          <p class="left">
+            <img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" />
+          </p>
+          <p>
+            璁緇og<i><sub>a</sub>N</i>=<i>x</i>锛屽垯<i>a<sup>x</sup></i>=<i>N</i>锛屼袱杈瑰彇浠�<i>c</i>涓哄簳鐨勫鏁帮紝寰條og<i><sub>c</sub>a<sup>x</sup></i>=log<i><sub>c</sub>N</i>锛屼簬鏄�<i>x</i>log<i><sub>c</sub>a</i>=log<i><sub>c</sub>N</i>锛屽嵆<math
+              display="0">
+              <mi>x</mi>
+              <mo>=</mo>
+              <mfrac>
+                <mrow>
+                  <msub>
+                    <mi>log</mi>
+                    <mrow>
+                      <mi>c</mi>
+                    </mrow>
+                  </msub>
+                  <mo data-mjx-texclass="NONE">鈦�</mo>
+                  <mi mathvariant="bold">N</mi>
+                </mrow>
+                <mrow>
+                  <msub>
+                    <mi>log</mi>
+                    <mrow>
+                      <mi>c</mi>
+                    </mrow>
+                  </msub>
+                  <mo data-mjx-texclass="NONE">鈦�</mo>
+                  <mi>a</mi>
+                </mrow>
+              </mfrac>
+            </math>锛屾墍浠�<math display="0">
+              <msub>
+                <mi>log</mi>
+                <mrow>
+                  <mi>a</mi>
+                </mrow>
+              </msub>
+              <mo data-mjx-texclass="NONE">鈦�</mo>
+              <mi mathvariant="bold">N</mi>
+              <mo>=</mo>
+              <mfrac>
+                <mrow>
+                  <msub>
+                    <mi>log</mi>
+                    <mrow>
+                      <mi>c</mi>
+                    </mrow>
+                  </msub>
+                  <mo data-mjx-texclass="NONE">鈦�</mo>
+                  <mi mathvariant="bold">N</mi>
+                </mrow>
+                <mrow>
+                  <msub>
+                    <mi>log</mi>
+                    <mrow>
+                      <mi>c</mi>
+                    </mrow>
+                  </msub>
+                  <mo data-mjx-texclass="NONE">鈦�</mo>
+                  <mi>a</mi>
+                </mrow>
+              </mfrac>
+            </math>.
+          </p>
+          <p>浜庢槸锛屾垜浠湁<b>瀵规暟鐨勬崲搴曞叕寮忥細</b></p>
+          <math display="block">
+            <msub>
+              <mi>log</mi>
+              <mrow>
+                <mi>a</mi>
+              </mrow>
+            </msub>
+            <mo data-mjx-texclass="NONE">鈦�</mo>
+            <mi>b</mi>
+            <mo>=</mo>
+            <mfrac>
+              <mrow>
+                <msub>
+                  <mi>log</mi>
+                  <mrow>
+                    <mi>c</mi>
+                  </mrow>
+                </msub>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mi>b</mi>
+              </mrow>
+              <mrow>
+                <msub>
+                  <mi>log</mi>
+                  <mrow>
+                    <mi>c</mi>
+                  </mrow>
+                </msub>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <mi>a</mi>
+              </mrow>
+            </mfrac>
+            <mo stretchy="false">(</mo>
+            <mi>a</mi>
+            <mo>&gt;</mo>
+            <mn>0</mn>
+            <mo>,</mo>
+            <mtext>&nbsp;涓�&nbsp;</mtext>
+            <mi>a</mi>
+            <mo>鈮�</mo>
+            <mn>1</mn>
+            <mo>;</mo>
+            <mi>c</mi>
+            <mo>&gt;</mo>
+            <mn>0</mn>
+            <mtext>, 涓�&nbsp;</mtext>
+            <mi>c</mi>
+            <mo>鈮�</mo>
+            <mn>1</mn>
+            <mo stretchy="false">)</mo>
+            <mtext>.&nbsp;</mtext>
+          </math>
+          <p>鐗瑰埆鍦帮紝</p>
+          <math display="block">
+            <mtable columnalign="left" columnspacing="1em" rowspacing="4pt">
+              <mtr>
+                <mtd>
+                  <msub>
+                    <mi>log</mi>
+                    <mrow>
+                      <mi>a</mi>
+                    </mrow>
+                  </msub>
+                  <mo data-mjx-texclass="NONE">鈦�</mo>
+                  <mi>b</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 stretchy="false">(</mo>
+                  <mi>a</mi>
+                  <mo>&gt;</mo>
+                  <mn>0</mn>
+                  <mo>,</mo>
+                  <mtext>&nbsp;涓�&nbsp;</mtext>
+                  <mi>a</mi>
+                  <mo>鈮�</mo>
+                  <mn>1</mn>
+                  <mo stretchy="false">)</mo>
+                  <mo>;</mo>
+                </mtd>
+              </mtr>
+              <mtr>
+                <mtd>
+                  <msub>
+                    <mi>log</mi>
+                    <mrow>
+                      <mi>a</mi>
+                    </mrow>
+                  </msub>
+                  <mo data-mjx-texclass="NONE">鈦�</mo>
+                  <mi>b</mi>
+                  <mo>=</mo>
+                  <mfrac>
+                    <mrow>
+                      <mi>ln</mi>
+                      <mo data-mjx-texclass="NONE">鈦�</mo>
+                      <mi>b</mi>
+                    </mrow>
+                    <mrow>
+                      <mi>ln</mi>
+                      <mo data-mjx-texclass="NONE">鈦�</mo>
+                      <mi>a</mi>
+                    </mrow>
+                  </mfrac>
+                  <mo stretchy="false">(</mo>
+                  <mi>a</mi>
+                  <mo>&gt;</mo>
+                  <mn>0</mn>
+                  <mo>,</mo>
+                  <mtext>&nbsp;涓�&nbsp;</mtext>
+                  <mi>a</mi>
+                  <mo>鈮�</mo>
+                  <mn>1</mn>
+                  <mo stretchy="false">)</mo>
+                  <mo>.</mo>
+                </mtd>
+              </mtr>
+            </mtable>
+          </math>
+        </div>
       </div>
     </div>
-
     <!-- 134 -->
     <div class="page-box" page="141">
       <div v-if="showPageList.indexOf(141) > -1">
@@ -288,14 +4971,557 @@
           <li>鏁板.鍩虹妯″潡</li>
           <li>涓婂唽</li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <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>
+          <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>
+                            <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>
+                      <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>
+          </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>
+          <div v-if="isShowAnswer40" >
+            <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>
+                  <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�
+            <math display="0">
+              <msup>
+                <mn>2</mn>
+                <mrow>
+                  <msub>
+                    <mi>log</mi>
+                    <mrow>
+                      <mn>2</mn>
+                    </mrow>
+                  </msub>
+                  <mn>7</mn>
+                </mrow>
+              </msup>
+            </math>锛涳紙2锛�
+            <math display="0">
+              <msup>
+                <mn>4</mn>
+                <mrow>
+                  <msub>
+                    <mi>log</mi>
+                    <mrow>
+                      <mn>2</mn>
+                    </mrow>
+                  </msub>
+                  <mn>7</mn>
+                </mrow>
+              </msup>
+            </math>锛涳紙3锛�
+            <math display="0">
+              <msup>
+                <mn>2</mn>
+                <mrow>
+                  <mn>1</mn>
+                  <mo>+</mo>
+                  <msub>
+                    <mi>log</mi>
+                    <mrow>
+                      <mn>2</mn>
+                    </mrow>
+                  </msub>
+                  <mn>7</mn>
+                </mrow>
+              </msup>
+            </math>.
+          </p>
+          <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>
+                  <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>
+                    <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>
+                <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>
+          <div class="bj">
+            <examinations :cardList="questionData[141]"  sourceType="json" v-if="questionData">
+            </examinations>
+          </div>
+        </div>
       </div>
     </div>
-
     <!-- 135 -->
     <div class="page-box" page="142">
       <div v-if="showPageList.indexOf(142) > -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>
@@ -304,10 +5530,28 @@
             <p><span>135</span></p>
           </li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <h3 id="c043">涔犻4.3<span class="fontsz2">锛烇紴锛�</span></h3>
+          <div class="bj">
+            <examinations :cardList="questionData[142]"  sourceType="json" v-if="questionData">
+            </examinations>
+          </div>
+          <h2 id="b025">
+            4.4 瀵规暟鍑芥暟<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span>
+          </h2>
+          <h3 id="c044">
+            4.4.1 瀵规暟鍑芥暟鐨勫畾涔�<span class="fontsz2">锛烇紴锛�</span>
+          </h3>
+          <p class="left">
+            <img class="img-gn" alt="" src="../../assets/images/wttc.jpg" />
+          </p>
+          <p>
+            鍦ㄧ浜岃妭鈥滆瀵熸�濊�冣�濈殑鎯呭2涓紝缁嗚優鐢�1涓垎瑁備负2涓紝2涓垎瑁備负4涓�︹�﹀鏋滃凡鐭ュ垎瑁�<i>x</i>娆″悗瀵瑰簲缁嗚優鏁伴噺鏄�1
+            024涓紝閭d箞濡備綍姹傚垎瑁傜殑娆℃暟<i>x</i>鍛紵
+          </p>
+        </div>
       </div>
     </div>
-
     <!-- 136 -->
     <div class="page-box" page="143">
       <div v-if="showPageList.indexOf(143) > -1">
@@ -317,14 +5561,199 @@
           <li>涓婂唽</li>
         </ul>
 
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <p class="left">
+            <img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" />
+          </p>
+          <p>
+            璁�1涓粏鑳炵粡杩�<i>y</i>娆″垎瑁傚悗寰楀埌<i>x</i>涓粏鑳烇紝鍒�<i>x</i>涓�<i>y</i>鐨勫嚱鏁板叧绯诲紡涓�<i>x</i>=2<i><sup>y</sup></i>锛屽皢姝ゆ寚鏁板紡鍐欎负瀵规暟寮忥紝寰楀埌
+          </p>
+          <p class="center"><i>y</i>=log<sub>2</sub><i>x</i>.</p>
+          <p>杩欎釜寮忓瓙灏辨槸鐢ㄥ垎瑁傚悗鐨勭粏鑳炴暟閲�<i>x</i>鏉ヨ〃绀哄垎瑁傜殑娆℃暟<i>y</i>.</p>
+          <div class="bk">
+            <div class="bj1">
+              <p class="left">
+                <img class="img-gn1" alt="" src="../../assets/images/gn.jpg" />
+              </p>
+            </div>
+            <p class="block">瀵规暟鍑芥暟</p>
+          </div>
+          <p class="left">
+            <img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" />
+          </p>
+          <p>
+            閫氳繃鎸囨暟涓庡鏁扮殑鍏崇郴鎴戜滑瑙傚療鍒帮細<i>y</i>=log<sub>2</sub><i>x</i>鏄竴涓嚱鏁帮紝鍏惰嚜鍙橀噺<i>x</i>浣嶄簬鐪熸暟浣嶇疆锛屽簳鏁版槸甯告暟.绫绘瘮鎸囨暟鍑芥暟瀹氫箟鐨勫涔犺繃绋嬶紝鎴戜滑鍙互鐢ㄥ瓧姣�<i>a</i>浠f浛搴曟暟2锛屽嵆鏈�<i>y</i>=log<sub>a</sub><i>x</i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夎繖绫荤壒寰佺殑鍑芥暟.
+          </p>
+          <p>
+            涓�鑸湴锛屽舰濡�<i>y</i>=log<i><sub>a</sub>x</i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夌殑鍑芥暟鍙綔<b>瀵规暟鍑芥暟</b>锛屽叾涓�<i>x</i>鏄嚜鍙橀噺锛屽嚱鏁扮殑瀹氫箟鍩熶负锛�0锛�+鈭烇級.
+          </p>
+          <p>
+            渚嬪锛�<i>y</i>=log<sub>2</sub><i>x</i>锛�<math display="0">
+              <mi>y</mi>
+              <mo>=</mo>
+              <msub>
+                <mi>log</mi>
+                <mrow>
+                  <mfrac>
+                    <mn>1</mn>
+                    <mn>3</mn>
+                  </mfrac>
+                </mrow>
+              </msub>
+              <mo data-mjx-texclass="NONE">鈦�</mo>
+              <mi>x</mi>
+            </math>锛�<i>y</i>=lg <i>x</i>锛�<i>y</i>=ln <i>x</i>閮芥槸瀵规暟鍑芥暟.
+          </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">
+              1.瀵规暟鍑芥暟涓庢寚鏁板嚱鏁扮殑搴曟暟<i>a</i>鐨勫彇鍊艰寖鍥翠繚鎸佷竴鑷�.
+            </p>
+            <p class="block">2.鐢变簬瀵规暟鐨�</p>
+            <p class="block">
+              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>
+          </div>
+          <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">
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+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </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>=</mo>
+                <msub>
+                  <mi>log</mi>
+                  <mrow>
+                    <mn>3</mn>
+                  </mrow>
+                </msub>
+                <mo data-mjx-texclass="NONE">鈦�</mo>
+                <msup>
+                  <mn>3</mn>
+                  <mrow>
+                    <mo>鈭�</mo>
+                    <mn>3</mn>
+                  </mrow>
+                </msup>
+                <mo>=</mo>
+                <mo>鈭�</mo>
+                <mn>3</mn>
+              </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 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>
+          <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>
+          <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>
+          <div v-if="isShowAnswer44" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>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>
-
     <!-- 137 -->
     <div class="page-box" page="144">
       <div v-if="showPageList.indexOf(144) > -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>
@@ -334,27 +5763,165 @@
           </li>
         </ul>
 
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <p class="left">
+            <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
+          </p>
+          <div class="bj">
+            <examinations :cardList="questionData[144]"  sourceType="json" inputBc="#d3edfa" v-if="questionData">
+            </examinations>
+          </div>
+          <h3 id="c045">
+            4.4.2 瀵规暟鍑芥暟鐨勫浘鍍忎笌鎬ц川<span class="fontsz2">锛烇紴锛�</span>
+          </h3>
+          <p class="left">
+            <img class="img-gn" alt="" src="../../assets/images/gcsk.jpg" />
+          </p>
+          <p>
+            涓庣爺绌舵寚鏁板嚱鏁扮殑鍥惧儚鍜屾�ц川涓�鏍凤紝鎴戜滑棣栧厛閫氳繃鎻忕偣娉曠敾鍑哄鏁板嚱鏁扮殑鍥惧儚锛岀劧鍚庡綊绾虫�荤粨鍑芥暟鐨勭浉鍏虫�ц川.涓嬮潰鎴戜滑浠�<i>y</i>=log<sub>2</sub><i>x</i>鍜�<math display="0">
+              <mi>y</mi>
+              <mo>=</mo>
+              <msub>
+                <mi>log</mi>
+                <mrow>
+                  <mfrac>
+                    <mn>1</mn>
+                    <mn>2</mn>
+                  </mfrac>
+                </mrow>
+              </msub>
+              <mo data-mjx-texclass="NONE">鈦�</mo>
+              <mi>x</mi>
+            </math>涓轰緥鐢诲嚭瀵规暟鍑芥暟鐨勫浘鍍忥紝閫氳繃瑙傚療鍏跺浘鍍忕壒寰侊紝褰掔撼鍑哄鏁板嚱鏁扮殑鎬ц川.
+          </p>
+          <p>绗竴姝ワ細璁$畻閮ㄥ垎鏁板�煎苟鍒楄〃锛堝琛�4-5鎵�绀猴級.</p>
+          <p class="img">琛�4-5</p>
+          <p class="center">
+            <img class="img-a" alt="" src="../../assets/images/0148-3.jpg" />
+          </p>
+          <p>
+            绗簩姝ワ細鎻忕偣锛屽苟鐢ㄥ厜婊戠殑鏇茬嚎杩炴帴鎵�鎻忕殑鐐癸紝鐢诲嚭瀹冧滑鐨勫浘鍍忥紝濡傚浘4-8鎵�绀�.
+          </p>
+          <p>
+            鍒╃敤鐩稿悓鏂规硶锛屾垜浠繕鍙互鍦ㄥ悓涓�骞抽潰鐩磋鍧愭爣绯讳腑鐢诲嚭<math display="0">
+              <mi>y</mi>
+              <mo>=</mo>
+              <msub>
+                <mi>log</mi>
+                <mrow>
+                  <mfrac>
+                    <mn>3</mn>
+                    <mn>2</mn>
+                  </mfrac>
+                </mrow>
+              </msub>
+              <mo data-mjx-texclass="NONE">鈦�</mo>
+              <mi>x</mi>
+            </math>锛�<i>y</i>=log <sub>2</sub><i>x</i>锛�<i>y</i>=log <sub>0.08</sub><i>x</i>锛�<i>y</i>=log
+            <sub>4.5</sub><i>x</i>锛�<i>y</i>=log
+            <sub>0.6</sub><i>x</i>锛�<math display="0">
+              <mi>y</mi>
+              <mo>=</mo>
+              <msub>
+                <mi>log</mi>
+                <mrow>
+                  <mfrac>
+                    <mn>1</mn>
+                    <mn>2</mn>
+                  </mfrac>
+                </mrow>
+              </msub>
+              <mo data-mjx-texclass="NONE">鈦�</mo>
+              <mi>x</mi>
+            </math>鐨勫浘鍍忥紝濡傚浘4-9鎵�绀�.
+          </p>
+        </div>
       </div>
     </div>
-
     <!-- 138 -->
     <div class="page-box" page="145">
       <div v-if="showPageList.indexOf(145) > -1">
-
         <ul class="page-header-odd fl al-end">
           <li>138</li>
           <li>鏁板.鍩虹妯″潡</li>
           <li>涓婂唽</li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <p class="center">
+            <img class="img-b" alt="" src="../../assets/images/0149-1.jpg" />
+          </p>
+          <p class="img">鍥�4-8</p>
+          <p class="center">
+            <img class="img-d" alt="" src="../../assets/images/0149-2.jpg" />
+          </p>
+          <p class="img">鍥�4-9</p>
+          <p><b>绫绘瘮褰掔撼</b></p>
+          <p>
+            绫绘瘮鎸囨暟鍑芥暟鍥惧儚鐗瑰緛鐨勮瀵熸柟娉曪紝瑙傚療瀵规暟鍑芥暟鐨勫浘鍍忥紝鎻忚堪瀹冧滑鐨勫浘鍍忓湪浣嶇疆銆佸叕鍏辩偣鍜屽彉鍖栬秼鍔跨瓑鏂归潰鐨勫叡鎬х壒寰�.
+          </p>
+          <p>
+            锛�1锛�
+            鍥句腑鎵�鏈夊鏁板嚱鏁扮殑鍥惧儚鍧囧湪<i>y</i>杞寸殑鍙充晶锛�<b>浣嶇疆鐗瑰緛</b>锛夛紱
+          </p>
+          <p>
+            锛�2锛�
+            鍥句腑鎵�鏈夊鏁板嚱鏁扮殑鍥惧儚閮界粡杩囧畾鐐癸紙1锛�0锛夛紙<b>鍏叡鐐圭壒寰�</b>锛夛紱
+          </p>
+          <p>
+            锛�3锛� 鍦ㄥ畾涔夊煙鍐咃紝瀵规暟鍑芥暟<math display="0">
+              <mi>y</mi>
+              <mo>=</mo>
+              <msub>
+                <mi>log</mi>
+                <mrow>
+                  <mfrac>
+                    <mn>3</mn>
+                    <mn>2</mn>
+                  </mfrac>
+                </mrow>
+              </msub>
+              <mo data-mjx-texclass="NONE">鈦�</mo>
+              <mi>x</mi>
+            </math>锛�<i>y</i>=log <sub>2</sub><i>x</i>锛�<i>y</i>=log
+            <sub>4.5</sub><i>x</i>鍥惧儚浠庡乏鍒板彸鍒嗗埆閫愭笎涓婂崌锛屽湪绗洓璞¢檺鍐呭悜涓嬩笌<i>y</i>杞存棤闄愭帴杩戯紱瀵规暟鍑芥暟<i>y</i>=log
+            <sub>0.08</sub><i>x</i>锛�<math display="0">
+              <mi>y</mi>
+              <mo>=</mo>
+              <msub>
+                <mi>log</mi>
+                <mrow>
+                  <mfrac>
+                    <mn>1</mn>
+                    <mn>2</mn>
+                  </mfrac>
+                </mrow>
+              </msub>
+              <mo data-mjx-texclass="NONE">鈦�</mo>
+              <mi>x</mi>
+            </math>锛�<i>y</i>=log <sub>0.6</sub><i>x</i>鍥惧儚浠庡乏鍒板彸鍒嗗埆閫愭笎涓嬮檷锛屽湪绗竴璞¢檺鍐呭悜涓婁笌<i>y</i>杞存棤闄愭帴杩戯紙<b>鍙樺寲瓒嬪娍鐗瑰緛</b>锛�.
+          </p>
+          <p>
+            绫绘瘮鎸囨暟鍑芥暟鐨勫浘鍍忥紝瀵规暟鍑芥暟<i>y</i>=log<i><sub>a</sub>x</i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夌殑鍥惧儚鎸夊簳鏁�<i>a</i>鐨勫彇鍊硷紝鍙垎涓�0锛�<i>a</i>锛�1鍜�<i>a</i>锛�1涓ょ绫诲瀷锛屾垜浠粠鎸囨暟寮忎笌瀵规暟寮忕殑鍏崇郴涔熷彲鍙戠幇.
+          </p>
+          <p class="left">
+            <img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" />
+          </p>
+          <p>
+            涓�鑸湴锛屽鏁板嚱鏁�<i>y</i>=log<i><sub>a</sub>x</i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夊叿鏈変笅鍒楁�ц川.
+          </p>
+          <p>锛�1锛� 鍑芥暟鐨勫畾涔夊煙涓猴紙0锛�+鈭烇級锛屽�煎煙涓�<b>R</b>锛�</p>
+          <p>锛�2锛� 褰�<i>x</i>=1鏃讹紝鍑芥暟鍊�<i>y</i>=0锛�</p>
+          <p>
+            锛�3锛�
+            褰�<i>a</i>锛�1鏃讹紝鍑芥暟鍦紙0锛�+鈭烇級鍐呮槸澧炲嚱鏁帮紱褰�0锛�<i>a</i>锛�1鏃讹紝鍑芥暟鍦紙0锛�+鈭烇級鍐呮槸鍑忓嚱鏁�.
+          </p>
+          <p>瀵规暟鍑芥暟鐨勫浘鍍忓拰鎬ц川鍙互鎬荤粨濡傝〃4-6鎵�绀�.</p>
+        </div>
       </div>
     </div>
-
     <!-- 139 -->
     <div class="page-box" page="146">
       <div v-if="showPageList.indexOf(146) > -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>
@@ -363,10 +5930,114 @@
             <p><span>139</span></p>
           </li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <p class="img">琛�4-6</p>
+          <p class="center">
+            <img class="img-a" alt="" src="../../assets/images/0150-1.jpg" />
+          </p>
+          <div class="bk-hzjl">
+            <div class="bj1-hzjl">
+              <p class="left">
+                <img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
+              </p>
+            </div>
+            <examinations :cardList="questionData[146]"  sourceType="json"
+            v-if="questionData" ></examinations>
+          </div>
+          <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">
+                <path class="a"
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+                  transform="translate(-3761 14334.001)" />
+              </svg>
+            </span>
+          </p>
+          <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">
+                <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>
+          <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">
+                <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="isShowAnswer46" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></span>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 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"
+                  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="isShowAnswer47">
+            <span class="zt-ls"><b>瑙�</b></span> 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 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"
+                  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="isShowAnswer48" >
+            <span class="zt-ls"><b>瑙�</b></span>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>
+        </div>
       </div>
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@@ -375,98 +6046,402 @@
           <li>鏁板.鍩虹妯″潡</li>
           <li>涓婂唽</li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <p>
+            <span class="zt-ls"><b>渚�2</b></span>銆�瑙d笅鍒椾笉绛夊紡.
+          </p>
+          <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"
+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <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>
+          <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">
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+                  transform="translate(-3327.144 15329)" />
+              </svg>
+            </span>
+          </p>
+          <div v-if="isShowAnswer50" > 
+            <p>
+              <span class="zt-ls"><b>瑙�</b></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>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>.
+            </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>
+          <p class="left">
+            <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
+          </p>
+          <div class="bj">
+            <examinations :cardList="questionData[147]"  sourceType="json" v-if="questionData">
+            </examinations>
+          </div>
+        </div>
       </div>
     </div>
-
     <!-- 141 -->
     <div class="page-box" page="148">
       <div v-if="showPageList.indexOf(148) > -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>141</span></p>
+            <p><span>141-142</span></p>
           </li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <h3 id="c046">涔犻4.4<span class="fontsz2">锛烇紴锛�</span></h3>
+          <div class="bj">
+            <examinations :cardList="questionData[148]"  sourceType="json" v-if="questionData">
+            </examinations>
+          </div>
+          <h2 id="b026">
+            4.5 鎸囨暟鍑芥暟涓庡鏁板嚱鏁扮殑瀹為檯搴旂敤<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span>
+          </h2>
+          <p>
+            鎴戜滑瀛︿範鐨勫熀鏈垵绛夊嚱鏁帮紝鍙互鎻忚堪銆佸埢鐢诲瑙備笘鐣屼腑鏌愪竴绫讳簨鐗╄繍鍔ㄥ彉鍖栫殑瑙勫緥.渚嬪锛岀敤涓�娆″嚱鏁版ā鍨嬪彲浠ユ弿杩扮敓娲讳腑鐨勨�滅嚎鎬у闀库�濓紙鐩寸嚎澧為暱锛夌幇璞�.鍒╃敤鎸囨暟鍑芥暟涓庡鏁板嚱鏁扮殑鐩稿叧鐭ヨ瘑寤虹珛鍑芥暟妯″瀷锛屽彲浠ユ弿杩般�佸埢鐢荤瀛︿笌鎶�鏈�佺粡娴庝笌绀句細銆佺敓浜т笌鐢熸椿涓殑鈥滄寚鏁板闀库�濆拰鈥滃鏁板闀库�濈幇璞�.
+          </p>
+          <p>
+            <span
+              class="zt-ls"><b>渚�1</b></span>銆�寮�灞曚汉鍙f櫘鏌ワ紝瀵逛簬璋冩暣銆佸畬鍠勪汉鍙f斂绛栵紝鎺ㄥ姩浜哄彛缁撴瀯浼樺寲锛屼績杩涗汉鍙g礌璐ㄦ彁鍗囧叿鏈夐噸瑕佹剰涔�.绗竷娆″叏鍥戒汉鍙f櫘鏌ョ粨鏋滄樉绀猴紝2020骞村勾鏈叏鍥藉ぇ闄嗘�讳汉鍙d负141
+            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 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">
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+            </span>
+            <span class="btn-box" @click="openDialog(thinkEight)">
+              <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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+                  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.
+          </p>
+        </div>
       </div>
     </div>
-
     <!-- 142 -->
-    <div class="page-box" page="149">
-      <div v-if="showPageList.indexOf(149) > -1">
-        <ul class="page-header-odd fl al-end">
-          <li>142</li>
-          <li>鏁板.鍩虹妯″潡</li>
-          <li>涓婂唽</li>
-        </ul>
-        <div class="padding-116"></div>
-      </div>
+    <div class="page-box hidePage" page="149">
     </div>
-
     <!-- 143 -->
     <div class="page-box" page="150">
       <div v-if="showPageList.indexOf(150) > -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>143</span></p>
+            <p><span>143-144</span></p>
           </li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <p class="p-btn" >
+            <span>
+              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�
+            </span>
+            <span class="btn-box" @click="isShowAnswer52 = !isShowAnswer52">
+              <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(thinkNine)">
+              <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="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�.
+            </p>
+          </div>
+          <p class="left">
+            <img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" />
+          </p>
+          <p>
+            姣旇緝涓ょ澧為暱鏂瑰紡锛岄殢鐫�鏃堕棿鎺ㄧЩ锛屸�滄寚鏁板闀库�濇柟寮忔洿鍏锋湁鐖嗗彂鎬�.鎺㈢┒涓ょ澧為暱鏂瑰紡鐨勭壒鐐癸紝骞跺垎鍒垪涓剧ぞ浼氱敓娲讳腑鐨勨�滅嚎鎬у闀库�濆拰鈥滄寚鏁板闀库�濈幇璞�.
+          </p>
+          <p>
+            涓�鑸湴锛屽舰濡�<i>y</i>=<i>ka<sup>x</sup></i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛�<i>k</i>鈮�0锛夌殑鍑芥暟绉颁负<b>鎸囨暟鍨嬪嚱鏁�</b>锛岃繖鏄敓娲诲疄闄呬腑甯歌鐨勫拰瀹炵敤鐨勫嚱鏁版ā鍨�.鍏朵腑锛屽綋<i>a</i>锛�1鏃讹紝璇ュ嚱鏁板彨浣滄寚鏁板闀挎ā鍨嬶紝濡傛垜浠父璇寸殑鈥滄寚鏁扮垎鐐糕�濈幇璞℃墍钑村惈鐨勫氨鏄繖绉嶆ā鍨嬶紱褰�0锛�<i>a</i>锛�1鏃讹紝璇ュ嚱鏁板彨浣滄寚鏁拌“鍑忔ā鍨嬶紝濡傝�冨彜宸ヤ綔涓殑纰�14琛板噺鐜拌薄鎵�钑村惈鐨勫氨鏄繖绉嶆ā鍨�.
+          </p>
+          <p>
+            <span class="zt-ls"><b>渚�2</b></span>銆�2020骞�12鏈�8鏃ワ紝涓浗銆佸凹娉婂皵涓ゅ浗鍏卞悓鍚戝叏涓栫晫姝e紡瀹e竷锛屼笘鐣岀涓�楂樺嘲鐝犵﹩鏈楃帥宄扮殑鏈�鏂版捣鎷旈珮绋嬩负8
+            848.86
+            m.鐢变簬鐝犵﹩鏈楃帥宄版皵鍊欏鍙樸�侀珮瀵掔己姘с�佺幆澧冨鏉傦紝瀵规祴閲忚澶囥�佹祴缁樻妧鏈拰娴嬬粯浜哄憳鏈夊緢楂樼殑瑕佹眰锛屽洜姝ょ簿纭祴閲忕彔绌嗘湕鐜涘嘲楂樼▼鏄竴涓浗瀹舵祴缁樻妧鏈按骞冲拰鑳藉姏鐨勭患鍚堜綋鐜�.宸茬煡娴锋嫈楂樼▼<i>y</i>锛坢锛�
+            涓庡ぇ姘斿帇寮�<i>x</i>锛圥a锛変箣闂寸殑鍏崇郴鍙敤鍑芥暟 <i>y</i>=<i>k</i> ln
+            <i>x</i>+<i>c</i>
+            鏉ヨ繎浼兼弿杩帮紝鍏朵腑<i>c</i>锛�<i>k</i>鍙湅鎴愬父閲�.鍙堢煡鐧婚《杩囩▼涓紝娴峰钩闈㈢殑澶ф皵鍘嬪己涓�1.013脳10<sup>5</sup>
+            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.
+          </p>
+          <p class="p-btn" >
+            <span>
+            锛�1锛� 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▼鏄灏戯紵
+            </span>
+            <span class="btn-box" @click="isShowAnswer53 = !isShowAnswer53">
+              <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="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>
+          <p class="p-btn" >
+            <span>
+              锛�2锛� 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皵鍘嬪己涓哄灏戯紵
+            </span>
+            <span class="btn-box" @click="isShowAnswer54 = !isShowAnswer54">
+              <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="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" page="151">
-      <div v-if="showPageList.indexOf(151) > -1">
-        <ul class="page-header-odd fl al-end">
-          <li>144</li>
-          <li>鏁板.鍩虹妯″潡</li>
-          <li>涓婂唽</li>
-        </ul>
-        <div class="padding-116"></div>
-      </div>
+    <div class="page-box hidePage" page="151">
     </div>
-
     <!-- 145   -->
     <div class="page-box" page="152">
       <div v-if="showPageList.indexOf(152) > -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>145</span></p>
+            <p><span>145-146</span></p>
           </li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+            <p class="left">
+            <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
+          </p>
+          <div class="bj">
+            <examinations :cardList="questionData[152] ? questionData[152][1] : []"  sourceType="json" inputBc="#d3edfa"
+              v-if="questionData"></examinations>
+          </div>
+          <h3 id="c047">涔犻4.5<span class="fontsz2">锛烇紴锛�</span></h3>
+          <div class="bj">
+            <examinations :cardList="questionData[152] ? questionData[152][2] : []"  sourceType="json" v-if="questionData">
+            </examinations>
+          </div>
+        </div>
       </div>
     </div>
-
     <!-- 146  -->
-    <div class="page-box" page="153">
-      <div v-if="showPageList.indexOf(153) > -1">
-        <ul class="page-header-odd fl al-end">
-          <li>146</li>
-          <li>鏁板.鍩虹妯″潡</li>
-          <li>涓婂唽</li>
-        </ul>
-        <div class="padding-116"></div>
-      </div>
-    </div>
-
+    <div class="page-box hidePage" page="153"></div>
     <!-- 147 -->
     <div class="page-box" page="154">
       <div v-if="showPageList.indexOf(154) > -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>
@@ -475,10 +6450,33 @@
             <p><span>147</span></p>
           </li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <h2 id="b027">
+            鏁板鍥湴<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span>
+          </h2>
+          <p class="center">鎴戜滑韬竟鐨勨�滄寚鏁扮垎鐐糕��</p>
+          <p>
+            鈥滄寚鏁扮垎鐐糕�濅笉鏄湡姝g殑鐖嗙偢锛屾槸浜嬬墿鏁伴噺鐨勫彉鍖栧憟鐜扮垎鐐稿紡鎬ュ墽澧為暱鏃剁殑鐜拌薄.鐢ㄦ暟瀛﹁瑷�鎻忚堪璇ョ幇璞℃椂锛屽彲鐢ㄦ寚鏁板嚱鏁版ā鍨�<i>f</i>锛�<i>x</i>锛�=<i>ka<sup>x</sup></i>锛�<i>a</i>锛�1锛夋潵鍒荤敾杩欑鍙樺寲瑙勫緥锛岃繖绉嶅闀挎柟寮忎篃鍙綔鈥滄寚鏁板闀库��.
+          </p>
+          <p>
+            鍦ㄥ辜鍎垮洯銆佸皬瀛﹂樁娈碉紝鍚屽浠粡甯哥帺鐨勬姌绾告父鎴忎篃钑村惈鐫�鈥滄寚鏁扮垎鐐糕�濈殑閬撶悊.涓�寮犺冻澶熷ぇ銆佽冻澶熸煍杞殑绾哥墖姣忓鎶樹竴娆★紝绾哥墖鐨勫帤搴﹀氨浼氱炕涓�鐣紝濡傛灉鎸佺画瀵规姌涓嬪幓锛屽叾鍘氬害澧為暱鏄�滅垎鐐稿紡鈥濈殑.涓�寮犺冻澶熷ぇ鐨�1
+            mm鍘氱殑绾哥墖濡傛灉杩炵画瀵规姌42娆★紝鍏跺帤搴﹀ぇ绾︿负4.4脳10<sup>5</sup>
+            km锛屽彲浠ョ洿鎺ヤ粠鍦扮悆杩炲埌鏈堢悆浜嗭紙鍦扮悆涓庢湀鐞冧箣闂寸殑璺濈绾︿负3.8脳10<sup>5</sup>
+            km锛�.
+          </p>
+          <p>
+            鍦ㄥ崼鐢熷仴搴锋柟闈紝鎴戜滑鍑犱箮姣忓ぉ閮藉湪鍜岀粏鑿屾墦浜ら亾锛屽洜涓哄緢澶氱粏鑿岀殑绻佹畺閫熷害閮芥槸鍛堚�滄寚鏁扮垎鐐糕�濆紡鐨�.鏈夌爺绌舵樉绀猴紝涓�鍙屾湭娲楄繃鐨勬墜涓婂ぇ绾︽湁80涓囦釜缁嗚弻锛屽亣璁炬煇绉嶇粏鑿屼互浜屽垎瑁傛硶绻佹畺锛堟瘡鍒嗚涓�娆★紝鏁伴噺鏄師鏉ョ殑涓ゅ�嶏級锛屾瘡5绉掑垎瑁備竴娆★紝寰堝揩锛岃繖鍙屾湭娲楄繃鐨勬墜涓婄殑缁嗚弻灏变細澧為暱鍒�5
+            000澶氫竾涓紝搴炲ぇ鐨勭粏鑿岀兢浣撶粡甯镐細瀵艰嚧鎴戜滑鈥滅梾浠庢墜鍏モ��.鎵�浠ワ紝淇濇寔楗墠渚垮悗娲楁墜鐨勮壇濂藉崼鐢熶範鎯紝瀵规垜浠韩浣撳仴搴锋湁鐫�鑷冲叧閲嶈鐨勪綔鐢�.
+          </p>
+          <p>
+            鍦ㄦ梾娓告湇鍔¢鍩燂紝涓�浜涙秷璐规�ф斂绛栧彲鑳戒細瀵艰嚧娓稿浜烘暟鐨勨�滅垎鐐稿紡鈥濆闀�.渚嬪锛屾煇涓�鏅尯涓哄惛寮曟洿澶氭父瀹紝浠�2001骞村紑濮嬶紝鏂借闂ㄧエ鍏嶈垂娲诲姩锛屾父瀹汉鏁颁粠30涓囦汉娆″鍔犲埌2020骞寸殑220涓囦汉娆★紝骞冲潎姣忓勾澧炲姞1.11鍊嶏紝杩欎篃钑村惈鐫�鈥滄寚鏁板闀库��.濡傛灉娓稿浜烘暟澧為暱杩囧害锛屼細鍑虹幇鏅尯浜烘弧涓烘偅銆佹湇鍔¤窡涓嶄笂绛夐棶棰橈紝鍥犳闇�瑕佸埄鐢ㄥ嚱鏁版ā鍨嬮娴嬫湭鏉ュ彉鍖栬秼鍔匡紝鍚堢悊鏂借鏃呮父娲诲姩.
+          </p>
+          <p>
+            浠庣粏濡傚彂涓濈殑鎷夐潰銆佹姌绾告父鎴忋�佺粏鑿岀箒娈栵紝鍒版櫙鍖烘梾娓搞�侀摱琛屽偍钃勭瓑锛岄兘涓庘�滄寚鏁扮垎鐐糕�濇湁鐫�鍗冧笣涓囩紩鐨勮仈绯�.鍦ㄥ瑙備笘鐣屼腑锛屾暟瀛︽棭宸叉倓鎮勬綔鍏ユ垜浠敓娲汇�佸伐浣滅殑鏂规柟闈㈤潰.
+          </p>
+        </div>
       </div>
     </div>
-
     <!-- 148   -->
     <div class="page-box" page="155">
       <div v-if="showPageList.indexOf(155) > -1">
@@ -487,14 +6485,173 @@
           <li>鏁板.鍩虹妯″潡</li>
           <li>涓婂唽</li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <h2 id="b028">
+            鍗曞厓灏忕粨<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span>
+          </h2>
+          <p class="bj2"><b>瀛︿範瀵煎浘</b></p>
+          <p class="center">
+            <img class="img-a" alt="" src="../../assets/images/0159-1.jpg" />
+          </p>
+          <p class="bj2"><b>瀛︿範鎸囧</b></p>
+          <p>1.瀹炴暟鎸囨暟骞�.</p>
+          <p>锛�1锛� 姝f暣鏁般�佽礋鏁存暟銆佸垎鏁般�佹寚鏁板箓鐨勬剰涔�.</p>
+          <p>
+            鈶�<math display="0">
+              <msup>
+                <mi>a</mi>
+                <mrow>
+                  <mi>n</mi>
+                </mrow>
+              </msup>
+              <mo>=</mo>
+              <munder>
+                <mrow data-mjx-texclass="OP">
+                  <munder>
+                    <mrow>
+                      <mi>a</mi>
+                      <mo>鈰�</mo>
+                      <mi>a</mi>
+                      <mo>鈰�</mo>
+                      <mi>a</mi>
+                      <mo>鈰�</mo>
+                      <mo>鈰�</mo>
+                      <mo>鈰�</mo>
+                      <mi>a</mi>
+                    </mrow>
+                    <mo>鈴�</mo>
+                  </munder>
+                </mrow>
+                <mrow>
+                  <mi>n</mi>
+                  <mo stretchy="false">鈫�</mo>
+                  <mi>a</mi>
+                </mrow>
+              </munder>
+              <mrow data-mjx-texclass="INNER">
+                <mo data-mjx-texclass="OPEN">(</mo>
+                <mi>n</mi>
+                <mo>鈭�</mo>
+                <msub>
+                  <mrow>
+                    <mi mathvariant="bold">N</mi>
+                  </mrow>
+                  <mrow>
+                    <mo>+</mo>
+                  </mrow>
+                </msub>
+                <mo data-mjx-texclass="CLOSE">)</mo>
+              </mrow>
+            </math>锛涖��鈶�<math display="0">
+              <msup>
+                <mi>a</mi>
+                <mrow>
+                  <mo>鈭�</mo>
+                  <mi>n</mi>
+                </mrow>
+              </msup>
+              <mo>=</mo>
+              <mfrac>
+                <mn>1</mn>
+                <msup>
+                  <mi>a</mi>
+                  <mrow>
+                    <mi>n</mi>
+                  </mrow>
+                </msup>
+              </mfrac>
+              <mrow data-mjx-texclass="INNER">
+                <mo data-mjx-texclass="OPEN">(</mo>
+                <mi>a</mi>
+                <mo>鈮�</mo>
+                <mn>0</mn>
+                <mo>,</mo>
+                <mi>n</mi>
+                <mo>鈭�</mo>
+                <msub>
+                  <mrow>
+                    <mi mathvariant="bold">N</mi>
+                  </mrow>
+                  <mrow>
+                    <mo>+</mo>
+                  </mrow>
+                </msub>
+                <mo data-mjx-texclass="CLOSE">)</mo>
+              </mrow>
+            </math>锛�
+          </p>
+          <p>
+            鈶�<math display="0">
+              <msup>
+                <mi>a</mi>
+                <mrow>
+                  <mfrac>
+                    <mi>m</mi>
+                    <mi>n</mi>
+                  </mfrac>
+                </mrow>
+              </msup>
+              <mo>=</mo>
+              <mroot>
+                <msup>
+                  <mi>a</mi>
+                  <mrow>
+                    <mi>m</mi>
+                  </mrow>
+                </msup>
+                <mi>n</mi>
+              </mroot>
+              <mrow data-mjx-texclass="INNER">
+                <mo data-mjx-texclass="OPEN">(</mo>
+                <mi>a</mi>
+                <mo>&gt;</mo>
+                <mn>0</mn>
+                <mo>,</mo>
+                <mi>m</mi>
+                <mo>,</mo>
+                <mi>n</mi>
+                <mo>鈭�</mo>
+                <msub>
+                  <mrow>
+                    <mi mathvariant="bold">N</mi>
+                  </mrow>
+                  <mrow>
+                    <mo>+</mo>
+                  </mrow>
+                </msub>
+                <mo>,</mo>
+                <mi>n</mi>
+                <mo>&gt;</mo>
+                <mn>1</mn>
+                <mo data-mjx-texclass="CLOSE">)</mo>
+              </mrow>
+            </math>.
+          </p>
+          <p>锛�2锛� 杩愮畻鎬ц川.</p>
+          <p>璁�<i>a</i>锛�0锛�<i>b</i>锛�0锛�<i>m</i>锛�<i>n</i>鈭�<b>R</b>锛屽垯</p>
+          <p>
+            鈶�<i>a<sup>m</sup>
+              a<sup>n</sup></i>=<i>a<sup>m+n</sup></i>锛涖��鈶★紙<i>a<sup>m</sup></i>锛�<i><sup>n</sup></i>=<i>a<sup>mn</sup></i>锛涖��鈶紙<i>ab</i>锛�<i><sup>n</sup></i>=<i>a<sup>n</sup>
+              b<sup>n</sup></i>.
+          </p>
+          <p>2.瀵规暟.</p>
+          <p>
+            锛�1锛�
+            瀹氫箟锛氬鏋�<i>a<sup>x</sup></i>=<i>N</i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夛紝閭d箞鏁�<i>x</i>鍙綔浠�<i>a</i>涓哄簳<i>N</i>鐨�<b>瀵规暟</b>锛岃浣�<i>x</i>=log<i><sub>a</sub>N</i>锛屽叾涓�<i>a</i>鍙綔瀵规暟鐨�<b>搴曟暟</b>锛堢畝绉板簳锛夛紝<i>N</i>鍙綔<b>鐪熸暟</b>.
+          </p>
+          <p>
+            閫氬父鎴戜滑鎶妉og <sub>10</sub><i>N</i>鍙綔甯哥敤瀵规暟锛岀畝璁颁綔lg <i>N</i>锛�
+            鎶妉og<sub>e</sub><i>N</i>鍙綔鑷劧瀵规暟锛岀畝璁颁綔ln <i>N</i>.
+          </p>
+          <p>
+            锛�2锛� 鎬ц川锛氣憼闆跺拰璐熸暟娌℃湁瀵规暟锛涒憽log<i><sub>a</sub></i>1=0锛屽嵆1鐨勫鏁颁负0锛涒憿log<i><sub>a</sub>a</i>=1锛屽嵆搴曟暟鐨勫鏁颁负1.
+          </p>
+        </div>
       </div>
     </div>
-
     <!-- 149 -->
     <div class="page-box" page="156">
       <div v-if="showPageList.indexOf(156) > -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>
@@ -503,69 +6660,300 @@
             <p><span>149</span></p>
           </li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <p>锛�3锛� 杩愮畻娉曞垯.</p>
+          <p>
+            鈶爈og<i><sub>a</sub></i>锛�<i>MN</i>锛�=log<i><sub>a</sub>M</i>+log<i><sub>a</sub>N</i>锛涖��鈶�<math display="0">
+              <msub>
+                <mi>log</mi>
+                <mrow>
+                  <mi>a</mi>
+                </mrow>
+              </msub>
+              <mo data-mjx-texclass="NONE">鈦�</mo>
+              <mfrac>
+                <mi>M</mi>
+                <mi>N</mi>
+              </mfrac>
+              <mo>=</mo>
+              <msub>
+                <mi>log</mi>
+                <mrow>
+                  <mi>a</mi>
+                </mrow>
+              </msub>
+              <mo data-mjx-texclass="NONE">鈦�</mo>
+              <mi>M</mi>
+              <mo>鈭�</mo>
+              <msub>
+                <mi>log</mi>
+                <mrow>
+                  <mi>a</mi>
+                </mrow>
+              </msub>
+              <mo data-mjx-texclass="NONE">鈦�</mo>
+              <mi>N</mi>
+            </math>锛�
+          </p>
+          <p>
+            鈶og<i><sub>a</sub>N<sup>n</sup></i>=<i>n</i>log
+            <i><sub>a</sub>N</i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛�<i>n</i>鈭�<b>R</b>锛�.
+          </p>
+          <p>锛�4锛夛紙閫夊锛夋崲搴曞叕寮�.</p>
+          <p>
+            <math display="0">
+              <msub>
+                <mi>log</mi>
+                <mrow>
+                  <mi>a</mi>
+                </mrow>
+              </msub>
+              <mo data-mjx-texclass="NONE">鈦�</mo>
+              <mi>b</mi>
+              <mo>=</mo>
+              <mfrac>
+                <mrow>
+                  <msub>
+                    <mi>log</mi>
+                    <mrow>
+                      <mi>c</mi>
+                    </mrow>
+                  </msub>
+                  <mo data-mjx-texclass="NONE">鈦�</mo>
+                  <mi>b</mi>
+                </mrow>
+                <mrow>
+                  <msub>
+                    <mi>log</mi>
+                    <mrow>
+                      <mi>c</mi>
+                    </mrow>
+                  </msub>
+                  <mo data-mjx-texclass="NONE">鈦�</mo>
+                  <mi>a</mi>
+                </mrow>
+              </mfrac>
+            </math>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛�<i>c</i>锛�0锛屼笖<i>c</i>鈮�1锛�.
+          </p>
+          <p>
+            鐗瑰埆鍦帮紝<math display="0">
+              <msub>
+                <mi>log</mi>
+                <mrow>
+                  <mi>a</mi>
+                </mrow>
+              </msub>
+              <mo data-mjx-texclass="NONE">鈦�</mo>
+              <mi>b</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>
+            </math>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛�.
+          </p>
+          <p>
+            瀵规暟鎭掔瓑寮忥細<math display="0">
+              <msup>
+                <mi>a</mi>
+                <mrow>
+                  <msub>
+                    <mi>log</mi>
+                    <mrow>
+                      <mi>a</mi>
+                    </mrow>
+                  </msub>
+                  <mo data-mjx-texclass="NONE">鈦�</mo>
+                  <mi>N</mi>
+                </mrow>
+              </msup>
+              <mo>=</mo>
+              <mi>N</mi>
+            </math>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛�.
+          </p>
+          <p>3.鎸囨暟鍑芥暟涓庡鏁板嚱鏁�.</p>
+          <p>锛�1锛� 瀹氫箟.</p>
+          <p>
+            褰㈠<i>y</i>=<i>a<sup>x</sup></i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夌殑鍑芥暟鍙寚鏁板嚱鏁帮紱褰㈠<i>y</i>=log<i>
+              ax</i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夌殑鍑芥暟鍙鏁板嚱鏁�.
+          </p>
+          <p>锛�2锛� 鍥惧儚鍜屾�ц川.</p>
+          <p class="center">
+            <img class="img-a" alt="" src="../../assets/images/0160-5.jpg" />
+          </p>
+          <p>4.鎸囨暟鍑芥暟涓庡鏁板嚱鏁扮殑瀹為檯搴旂敤.</p>
+          <p>
+            鍒嗘瀽瀹炰緥鑳屾櫙锛屽缓绔嬫寚鏁板嚱鏁版垨瀵规暟鍑芥暟妯″瀷锛屽苟鍒╃敤鎸囨暟鍑芥暟銆佸鏁板嚱鏁扮殑鍥惧儚鍙婂熀鏈�ц川瑙e喅绠�鍗曠殑瀹為檯闂.浣撲細鈥滄寚鏁扮垎鐐糕�濅笌鈥滄寚鏁拌“鍑忊�濈殑鐗圭偣.
+          </p>
+        </div>
       </div>
     </div>
-
     <!-- 150 -->
     <div class="page-box" page="157">
       <div v-if="showPageList.indexOf(157) > -1">
         <ul class="page-header-odd fl al-end">
-          <li>150</li>
+          <li>150-152</li>
           <li>鏁板.鍩虹妯″潡</li>
           <li>涓婂唽</li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <h2 id="b029">
+            鍗曞厓妫�娴�<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span>
+          </h2>
+          <div class="bj">
+            <examinations :cardList="questionData[157]"  sourceType="json" inputBc="#d3edfa" v-if="questionData">
+            </examinations>
+          </div>
+        </div>
       </div>
     </div>
     <!-- 151 -->
-    <div class="page-box" page="158">
-      <div v-if="showPageList.indexOf(158) > -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>151</span></p>
-          </li>
-        </ul>
-        <div class="padding-116">158</div>
-      </div>
-    </div>
+    <div class="page-box hidePage" page="158"></div>
     <!-- 152 -->
-    <div class="page-box" page="159">
-      <div v-if="showPageList.indexOf(159) > -1">
-        <ul class="page-header-odd fl al-end">
-          <li>152</li>
-          <li>鏁板.鍩虹妯″潡</li>
-          <li>涓婂唽</li>
-        </ul>
-        <div class="padding-116">159</div>
+    <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>
-    </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: '',
+  name: "",
   props: {
     showPageList: {
       type: Array,
       default: [],
     },
+    questionData: {
+      type: Object,
+    },
   },
-  components: {},
+  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�.'
+
+      ]
+    };
   },
-  computed: {},
-  watch: {},
-  created() { },
   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>

--
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