From 218a387c6191311ed29b1aa81612e0aa3b4fa9dc Mon Sep 17 00:00:00 2001
From: zhongshujie <2862698242@qq.com>
Date: 星期三, 16 十月 2024 18:03:13 +0800
Subject: [PATCH] Merge branch 'master' of http://182.92.203.7:2001/r/testbookLayout

---
 src/books/mathBook/view/components/chapter002.vue | 2685 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++-
 1 files changed, 2,610 insertions(+), 75 deletions(-)

diff --git a/src/books/mathBook/view/components/chapter002.vue b/src/books/mathBook/view/components/chapter002.vue
index f347dc1..238435a 100644
--- a/src/books/mathBook/view/components/chapter002.vue
+++ b/src/books/mathBook/view/components/chapter002.vue
@@ -1,22 +1,72 @@
 <template>
-  <div class="chapter" num="3">
-
+  <div class="chapter" num="2">
     <!-- 绗簩鍗曞厓棣栭〉 -->
     <div class="page-box" page="38">
       <div v-if="showPageList.indexOf(38) > -1">
-
-        <div class="padding-116">绗簩鍗曞厓棣栭〉</div>
+        <h1 id="a006">
+          <img class="img-0" alt="" src="../../assets/images/dy2.jpg" />
+        </h1>
+        <div class="padding-116">
+          <p>
+            鐗╀綋鏈夎交鏈夐噸锛岄�熷害鏈夊揩鏈夋參锛屾皵娓╂湁楂樻湁浣庯紝鍏夌嚎鏈夊己鏈夊急锛岄潰绉湁澶ф湁灏忊�︹�﹀湪瀹為檯鐢熸椿涓紝杩欑涓嶇浉绛夌殑鏁伴噺鍏崇郴鏃犲涓嶅湪.鎴戜滑鍙互鍒╃敤涓嶇瓑鍏崇郴鏋勫缓涓嶇瓑寮忥紝骞堕�氳繃涓嶇瓑寮忚В鍐崇幇瀹炵敓娲讳腑鐨勯棶棰�.
+          </p>
+          <p>
+            渚嬪锛岄殢鐫�鏃朵唬鐨勮繘姝ワ紝浜轰滑瀵逛綇瀹呯殑瑕佹眰瓒婃潵瓒婇珮.閫氬父浜轰滑鍦ㄩ�夋嫨浣忓畢鏃讹紝閮戒細鑰冭檻閲囧厜闂锛岃繖灏遍渶瑕佹妸绐楁埛寮�寰楀敖鍙兘澶�.鎸夐噰鍏夋爣鍑嗭紝绐楁埛鐨勬湁鏁堥�忓厜闈㈢Н涓庡鍐呭湴闈㈤潰绉殑姣斿�煎簲涓嶅皬浜�
+            <math display="0">
+              <mfrac>
+                <mn>1</mn>
+                <mn>7</mn>
+              </mfrac>
+            </math>锛岃繖涓瘮鍊艰秺澶э紝浣忓畢鐨勯噰鍏夋晥鏋滆秺濂�.
+          </p>
+          <p>
+            濡傛灉绐楁埛鐨勬湁鏁堥�忓厜闈㈢Н鍜屽鍐呭湴闈㈤潰绉悓鏃跺鍔犵浉鍚岀殑闈㈢Н锛屾槸涓嶆槸閲囧厜鏁堟灉灏变細鏇村ソ鍛紵瑙e喅杩欐牱鐨勯棶棰樺氨闇�瑕佺敤鍒版湁鍏充笉绛夊紡鐨勭煡璇�.
+          </p>
+          <p>
+            涓嶇瓑寮忔槸鏁板涓殑閲嶈鍐呭锛屽畠鍏锋湁搴旂敤骞挎硾銆佸彉鎹㈢伒娲荤殑鐗圭偣锛屾槸鐮旂┒鏁伴噺澶у皬鍏崇郴鐨勫繀澶囩煡璇嗭紝涓庢暟瀛︾殑鍏朵粬鍒嗘敮鍐呭鏈夌潃瀵嗗垏鐨勮仈绯伙紝涔熸槸瀛︿範楂樼瓑鏁板鐨勫熀纭�鍜屽伐鍏�.
+          </p>
+          <p>
+            鏈崟鍏冨湪鍒濅腑瀛︿範鐨勫熀纭�涔嬩笂锛岃繘涓�姝ュ涔犱笉绛夊紡鐨勫熀鏈�ц川銆佸尯闂淬�佷竴鍏冧簩娆′笉绛夊紡銆佸惈缁濆鍊肩殑涓嶇瓑寮忕瓑.瀛︿範鏍规嵁鏁伴噺鍏崇郴鍒楀嚭鐩稿簲鐨勪笉绛夊紡锛屽苟鍒╃敤杩欎簺涓嶇瓑寮忔壘鍒伴棶棰樼殑瑙e喅鏂规锛屾彁鍗囨暟瀛﹁繍绠椼�佺洿瑙傛兂璞°�侀�昏緫鎺ㄧ悊鍜屾暟瀛﹀缓妯$瓑鏍稿績绱犲吇.
+          </p>
+        </div>
       </div>
     </div>
     <!-- 鐩爣 -->
     <div class="page-box" page="39">
       <div v-if="showPageList.indexOf(39) > -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.涓嶇瓑寮忕殑鍩烘湰鎬ц川.</p>
+            <p>锛�1锛� 鎺屾彙鍒ゆ柇涓や釜鏁帮紙寮忥級澶у皬鐨勨�滀綔宸瘮杈冩硶鈥濓紱</p>
+            <p>锛�2锛� 浜嗚В涓嶇瓑寮忕殑鍩烘湰鎬ц川.</p>
+            <p>2.鍖洪棿.</p>
+            <p>鐞嗚В鍖洪棿鐨勬蹇�.</p>
+            <p>3.涓�鍏冧簩娆′笉绛夊紡.</p>
+            <p>锛�1锛� 浜嗚В涓�鍏冧簩娆′笉绛夊紡鐨勬蹇碉紱</p>
+            <p>
+              锛�2锛� 浜嗚В浜屾鍑芥暟銆佷竴鍏冧簩娆℃柟绋嬩笌涓�鍏冧簩娆′笉绛夊紡涓夎�呬箣闂寸殑鍏崇郴锛�
+            </p>
+            <p>锛�3锛� 鎺屾彙涓�鍏冧簩娆′笉绛夊紡鐨勮В娉�.</p>
+            <p>4.鍚粷瀵瑰�肩殑涓嶇瓑寮�.</p>
+            <p>
+              锛�1锛�
+              浜嗚В鍚粷瀵瑰�肩殑涓嶇瓑寮弢<i>x</i>|锛�<i>a</i>鍜寍<i>x</i>|锛�<i>a</i>锛�<i>a</i>锛�0锛夌殑鍚箟锛�
+            </p>
+            <p>
+              锛�2锛�
+              鎺屾彙褰㈠|<i>ax</i>+<i>b</i>|锛�<i>c</i>鍜寍<i>ax</i>+<i>b</i>|锛�<i>c</i>锛�<i>c</i>锛�0锛夌殑涓嶇瓑寮忕殑瑙f硶.
+            </p>
+            <p>5.涓嶇瓑寮忕殑搴旂敤.</p>
+            <p>
+              鍒濇鎺屾彙浠庡疄闄呴棶棰樹腑鎶借薄鍑轰竴鍏冧簩娆′笉绛夊紡妯″瀷瑙e喅绠�鍗曞疄闄呴棶棰樼殑鏂规硶.
+            </p>
+          </div>
+        </div>
       </div>
     </div>
-
-
-
     <!-- 033 -->
     <div class="page-box" page="40">
       <div v-if="showPageList.indexOf(40) > -1">
@@ -28,10 +78,153 @@
             <p><span>033</span></p>
           </li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <p class="left">
+            <img class="inline2" alt="" src="../../assets/images/xxmb.jpg" />
+          </p>
+          <div class="fieldset">
+            <p>1.涓嶇瓑寮忕殑鍩烘湰鎬ц川.</p>
+            <p>锛�1锛� 鎺屾彙鍒ゆ柇涓や釜鏁帮紙寮忥級澶у皬鐨勨�滀綔宸瘮杈冩硶鈥濓紱</p>
+            <p>锛�2锛� 浜嗚В涓嶇瓑寮忕殑鍩烘湰鎬ц川.</p>
+            <p>2.鍖洪棿.</p>
+            <p>鐞嗚В鍖洪棿鐨勬蹇�.</p>
+            <p>3.涓�鍏冧簩娆′笉绛夊紡.</p>
+            <p>锛�1锛� 浜嗚В涓�鍏冧簩娆′笉绛夊紡鐨勬蹇碉紱</p>
+            <p>
+              锛�2锛� 浜嗚В浜屾鍑芥暟銆佷竴鍏冧簩娆℃柟绋嬩笌涓�鍏冧簩娆′笉绛夊紡涓夎�呬箣闂寸殑鍏崇郴锛�
+            </p>
+            <p>锛�3锛� 鎺屾彙涓�鍏冧簩娆′笉绛夊紡鐨勮В娉�.</p>
+            <p>4.鍚粷瀵瑰�肩殑涓嶇瓑寮�.</p>
+            <p>
+              锛�1锛�
+              浜嗚В鍚粷瀵瑰�肩殑涓嶇瓑寮弢<i>x</i>|锛�<i>a</i>鍜寍<i>x</i>|锛�<i>a</i>锛�<i>a</i>锛�0锛夌殑鍚箟锛�
+            </p>
+            <p>
+              锛�2锛�
+              鎺屾彙褰㈠|<i>ax</i>+<i>b</i>|锛�<i>c</i>鍜寍<i>ax</i>+<i>b</i>|锛�<i>c</i>锛�<i>c</i>锛�0锛夌殑涓嶇瓑寮忕殑瑙f硶.
+            </p>
+            <p>5.涓嶇瓑寮忕殑搴旂敤.</p>
+            <p>
+              鍒濇鎺屾彙浠庡疄闄呴棶棰樹腑鎶借薄鍑轰竴鍏冧簩娆′笉绛夊紡妯″瀷瑙e喅绠�鍗曞疄闄呴棶棰樼殑鏂规硶.
+            </p>
+          </div>
+          <h2 id="b007">
+            2.1 涓嶇瓑寮忕殑鍩烘湰鎬ц川<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span>
+          </h2>
+          <h3 id="c012">
+            2.1.1 涓嶇瓑寮忕殑鍩烘湰鎬ц川<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">鎴戜滑鐭ラ亾锛�</p>
+            <p class="block">锛�1锛� <i>a</i>锛�<i>b</i>鈬�<i>a</i>-<i>b</i>锛�0锛�</p>
+            <p class="block">锛�2锛� <i>a</i>锛�<i>b</i>鈬�<i>b</i>锛�<i>a</i>锛�</p>
+            <p class="block">
+              锛�3锛�
+              鑻�<i>a</i>锛�<i>b</i>锛�<i>b</i>锛�<i>c</i>锛屽垯<i>a</i>锛�<i>c</i>.
+            </p>
+            <p class="block">鍒濅腑鎴戜滑杩樺涔犺繃涓嶇瓑寮忕殑涓嬪垪鎬ц川锛�</p>
+            <p class="block">
+              <b>鎬ц川1</b>
+              <i>a</i>锛�<i>b</i>鈬�<i>a</i>卤<i>c</i>锛�<i>b</i>卤<i>c</i>.
+            </p>
+            <p class="block">
+              <b>鎬ц川2</b>
+              <i>a</i>锛�<i>b</i>锛�<i>c</i>锛�0鈬�<i>ac</i>锛�<i>bc</i>锛堟垨<math display="0">
+                <mfrac>
+                  <mi>a</mi>
+                  <mi>c</mi>
+                </mfrac>
+                <mo>锛�</mo>
+                <mfrac>
+                  <mi>b</mi>
+                  <mi>c</mi>
+                </mfrac>
+              </math>锛�.
+            </p>
+            <p class="block">
+              <b>鎬ц川3</b>
+              <i>a</i>锛�<i>b</i>锛�<i>c</i>锛�0鈬�<i>ac</i>锛�<i>bc</i>锛堟垨<math display="0">
+                <mfrac>
+                  <mi>a</mi>
+                  <mi>c</mi>
+                </mfrac>
+                <mo>锛�</mo>
+                <mfrac>
+                  <mi>b</mi>
+                  <mi>c</mi>
+                </mfrac>
+              </math>锛�.
+            </p>
+          </div>
+          <p class="left"><img class="img-gn" alt="" src="../../assets/images/wttc.jpg" /></p>
+          <p>
+            鏈夎鐐硅涓猴紝鏈�缇庝汉浣撶殑涓嬪崐韬暱锛堣倸鑴愯嚦鑴氱殑瑙﹀湴鐐圭殑闀垮害锛変笌鍏ㄨ韩闀夸箣姣旀槸<math display="0">
+              <mfrac>
+                <mrow>
+                  <msqrt>
+                    <mn>5</mn>
+                  </msqrt>
+                  <mo>鈭�</mo>
+                  <mn>1</mn>
+                </mrow>
+                <mn>2</mn>
+              </mfrac>
+              <mrow data-mjx-texclass="INNER">
+                <mo data-mjx-texclass="OPEN">(</mo>
+                <mfrac>
+                  <mrow>
+                    <msqrt>
+                      <mn>5</mn>
+                    </msqrt>
+                    <mo>鈭�</mo>
+                    <mn>1</mn>
+                  </mrow>
+                  <mn>2</mn>
+                </mfrac>
+                <mo>鈮�</mo>
+                <mn>0.618</mn>
+                <mo data-mjx-texclass="CLOSE">)</mo>
+              </mrow>
+            </math>锛岃繖琚О涓洪粍閲戝垎鍓叉瘮渚�.鏌愯姯钑捐垶婕斿憳鍏ㄨ韩闀�166cm锛屼笅鍗婅韩闀�98cm.琛ㄦ紨杩囩▼涓紝鑺暰鑸炴紨鍛樹細绔嬭捣鑴氬皷璺宠垶锛屾鏃惰倸鑴愪笌鑴氱殑瑙﹀湴鐐圭殑璺濈澧炲姞浜�8
+            cm.璇曢棶锛氳鑺暰鑸炴紨鍛樹笅鍗婅韩闀夸笌鍏ㄨ韩闀跨殑姣斿�硷紝鍦ㄨ剼灏栫珛璧峰墠鍚庡摢涓ぇ锛�
+            鍝竴涓洿鎺ヨ繎0.618锛�
+          </p>
+          <p class="left"><img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /></p>
+          <p>
+            璇ヨ姯钑捐垶婕斿憳鑴氬皷绔嬭捣鍓嶏紝涓嬪崐韬暱涓庡叏韬暱鐨勬瘮鍊间负<math display="0">
+              <mfrac>
+                <mn>98</mn>
+                <mn>166</mn>
+              </mfrac>
+            </math>锛涜剼灏栫珛璧峰悗锛屼笅鍗婅韩闀夸笌鍏ㄨ韩闀跨殑姣斿�间负<math display="0">
+              <mfrac>
+                <mrow>
+                  <mn>98</mn>
+                  <mo>+</mo>
+                  <mn>8 </mn>
+                </mrow>
+                <mrow>
+                  <mn>166</mn>
+                  <mo>+</mo>
+                  <mn>8</mn>
+                </mrow>
+              </mfrac>
+              <mo>=</mo>
+              <mfrac>
+                <mn>106</mn>
+                <mn>174</mn>
+              </mfrac>
+            </math>
+            .鏈瑕佹眰姣旇緝杩欎袱涓垎鏁扮殑澶у皬.
+          </p>
+        </div>
       </div>
     </div>
-
     <!-- 034 -->
     <div class="page-box" page="41">
       <div v-if="showPageList.indexOf(41) > -1">
@@ -40,8 +233,70 @@
           <li>鏁板.鍩虹妯″潡</li>
           <li>涓婂唽</li>
         </ul>
+        <div class="padding-116">
+          <p class="left"><img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" /></p>
+          <p>
+            涓轰簡鍊熷姪涓嶇瓑寮忕煡璇嗚В鍐充笂闈㈢殑闂锛屾垜浠渶瑕佽繘涓�姝ョ爺绌朵笉绛夊紡鐨勬�ц川.鏍规嵁鍒濅腑瀛﹁繃鐨勪笉绛夊紡鐨�3涓熀鏈�ц川锛屽彲浠ュ緱鍒颁竴绯诲垪鎺ㄨ.
+          </p>
+          <p>鏍规嵁鎬ц川1锛屽彲寰椾笅鍒楁帹璁�.</p>
+          <p>
+            <b>鎺ㄨ1</b>
+            <i>a</i>锛�<i>b</i>锛�<i>c</i>锛�<i>d</i>鈬�<i>a</i>+<i>c</i>锛�<i>b</i>+<i>d</i>.
+          </p>
+          <p><b>璇佹槑</b> 鏍规嵁鎬ц川1锛屽彲鐭�</p>
+          <p class="center">
+            <i>a</i>锛�<i>b</i>鈬�<i>a</i>+<i>c</i>锛�<i>b</i>+<i>c</i>锛�
+          </p>
+          <p class="center">
+            <i>c</i>锛�<i>d</i>鈬�<i>c</i>+<i>b</i>锛�<i>d</i>+<i>b</i>锛屽嵆<i>b</i>+<i>c</i>锛�<i>b</i>+<i>d</i>.
+          </p>
+          <p>
+            浠庤��<i>a</i>+<i>c</i>锛�<i>b</i>+<i>c</i>锛�<i>b</i>+<i>d</i>锛屽嵆<i>a</i>+<i>c</i>锛�<i>b</i>+<i>d</i>.
+          </p>
+          <p>渚嬪锛�5锛�1锛�3锛�-2锛屾牴鎹帹璁�1锛屾湁5+3锛�1+锛�-2锛夛紝鍗�8锛�-1.</p>
+          <p>
+            <b>鎺ㄨ2</b> <i>a</i>+<i>b</i>锛�<i>c</i>鈬�<i>a</i>锛�<i>c</i>-<i>b</i>.
+          </p>
+          <p>鏍规嵁鎬ц川2锛屽彲寰椾笅鍒楁帹璁�.</p>
+          <p>
+            <b>鎺ㄨ3</b>
+            <i>a</i>锛�<i>b</i>锛�0锛�<i>c</i>锛�<i>d</i>锛�0鈬�<i>ac</i>锛�<i>bd</i>.
+          </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[41]" :hideCollect="true" sourceType="json" 
+            v-if="questionData" ></examinations>
+          </div>
 
-        <div class="padding-116"></div>
+          <p>
+            <span class="zt-ls"><b>渚�1</b></span>銆�宸茬煡<i>a</i>锛�<i>b</i>锛�0.
+          </p>
+          <p>锛�1锛� 姣旇緝2<i>a</i>涓�2<i>b</i>鐨勫ぇ灏忥紱</p>
+          <p>锛�2锛� 姣旇緝-2<i>a</i>涓�-2<i>b</i>鐨勫ぇ灏忥紱</p>
+          <p>锛�3锛� 姣旇緝<i>ac</i>涓�<i>bc</i>鐨勫ぇ灏�.</p>
+          <p>
+            <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍥犱负<i>a</i>锛�<i>b</i>锛�2锛�0锛屾牴鎹�ц川2锛屾湁2<i>a</i>锛�2<i>b</i>.
+          </p>
+          <p>
+            锛�2锛�
+            鍥犱负<i>a</i>锛�<i>b</i>锛�-2锛�0锛屾牴鎹�ц川3锛屾湁-2<i>a</i>锛�-2<i>b</i>.
+          </p>
+          <p>锛�3锛� 鑻�<i>c</i>锛�0锛屾牴鎹�ц川2锛屾湁<i>ac</i>锛�<i>bc</i>.</p>
+          <p>鑻�<i>c</i>锛�0锛屾牴鎹�ц川3锛屾湁<i>ac</i>锛�<i>bc</i>.</p>
+          <p>鑻�<i>c</i>=0锛屽垯鏈�<i>ac</i>=<i>bc</i>=0锛屾墍浠�<i>ac</i>=<i>bc</i>.</p>
+          <p>
+            <span class="zt-ls"><b>渚�2</b></span>銆�宸茬煡<i>a</i>锛�<i>b</i>锛屾瘮杈�<i>a</i>-1涓�<i>b</i>-2鐨勫ぇ灏�.
+          </p>
+          <p>
+            <span class="zt-ls"><b>瑙�</b></span> 鍥犱负<i>a</i>锛�<i>b</i>锛�-1锛�-2锛�
+          </p>
+          <p>鏍规嵁鎺ㄨ1锛屾湁<i>a</i>+锛�-1锛夛紴<i>b</i>+锛�-2锛夛紝</p>
+          <p>鍗�<i>a</i>-1锛�<i>b</i>-2.</p>
+        </div>
       </div>
     </div>
     <!-- 035 -->
@@ -55,7 +310,173 @@
             <p><span>035</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">
+            <p>1.鐢ㄢ�滐紴鈥濇垨鈥滐紲鈥濆~绌�.</p>
+            <p>
+              锛�1锛� <i>a</i>+5___<i>b</i>+5锛�<i>a</i>锛�<i>b</i>锛夛紱锛�2锛�
+              <i>x</i>+5___<i>x</i>+2锛�
+            </p>
+            <p>
+              锛�3锛� m+1___<i>m</i>-1锛涳紙4锛�
+              -5<i>p</i>___-5<i>q</i>锛�<i>p</i>锛�<i>q</i>锛�.
+            </p>
+            <p>2.鐢ㄢ�滐紴鈥濇垨鈥滐紲鈥濆~绌�.</p>
+            <p>
+              锛�1锛� 鑻�4<i>x</i>锛�2锛屽垯<i>x</i>___<math display="0">
+                <mfrac>
+                  <mn>1</mn>
+                  <mn>2</mn>
+                </mfrac>
+              </math>锛涳紙2锛� 鑻�<i>a</i>锛�0锛屽垯2<i>a</i>___<i>a</i>.
+            </p>
+          </div>
+          <h3 id="c013">2.1.2 浣滃樊姣旇緝娉�<span class="fontsz2">锛烇紴锛�</span></h3>
+          <p class="left"><img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /></p>
+          <p>
+            鎴戜滑鐭ラ亾瀹炴暟鍙互姣旇緝澶у皬.鏁板涓粡甯哥敤涓嬮潰鐨勭瓑浠峰叧绯绘瘮杈�<i>a</i>锛�<i>b</i>鐨勫ぇ灏�.
+          </p>
+          <p class="center"><i>a</i>-<i>b</i>锛�0鈬�<i>a</i>锛�<i>b</i>锛�</p>
+          <p class="center"><i>a</i>-<i>b</i>锛�0鈬�<i>a</i>锛�<i>b</i>锛�</p>
+          <p class="center"><i>a</i>-<i>b</i>=0鈬�<i>a</i>=<i>b</i>.</p>
+          <p>
+            鐢辨鍙锛屾瘮杈�<i>a</i>锛�<i>b</i>鐨勫ぇ灏忥紝鍙鍒ゆ柇瀹冧滑鐨勫樊<i>a</i>-<i>b</i>涓�0鐨勫ぇ灏忓叧绯诲嵆鍙�.
+          </p>
+          <p>
+            渚嬪锛屾垜浠彲浠ヤ綔宸瘮杈�<i>a</i><sup>2</sup>+1涓�2<i>a</i>鐨勫ぇ灏忥紙<i>a</i>鈮�1锛�.
+          </p>
+          <p>
+            鍥犱负锛�<i>a</i><sup>2</sup>+1锛�-2<i>a</i>=<i>a</i><sup>2</sup>-2<i>a</i>+1=锛�<i>a</i>-1锛�<sup>2</sup>锛屼笖褰�<i>a</i>鈮�1鏃讹紝锛�<i>a</i>-1锛�<sup>2</sup>锛�0锛屾墍浠�<i>a</i><sup>2</sup>+1锛�2<i>a</i>.
+          </p>
+          <p>
+            <span class="zt-ls"><b>渚�1</b></span>銆�鍒嗘瀽鏈妭鈥滈棶棰樻彁鍑衡�濅腑鐨勯棶棰�.
+          </p>
+          <p>
+            <span class="zt-ls"><b>瑙�</b></span> 浣滃樊鍙緱<math display="0">
+              <mfrac>
+                <mn>98</mn>
+                <mn>166</mn>
+              </mfrac>
+              <mo>=</mo>
+              <mfrac>
+                <mrow>
+                  <mn>98</mn>
+                  <mo>+</mo>
+                  <mn>8</mn>
+                </mrow>
+                <mrow>
+                  <mn>166</mn>
+                  <mo>+</mo>
+                  <mn>8</mn>
+                </mrow>
+              </mfrac>
+              <mo>=</mo>
+              <mfrac>
+                <mn>98</mn>
+                <mn>166</mn>
+              </mfrac>
+              <mo>鈭�</mo>
+              <mfrac>
+                <mn>106</mn>
+                <mn>174</mn>
+              </mfrac>
+              <mo>=</mo>
+              <mfrac>
+                <mrow>
+                  <mn>98</mn>
+                  <mo>脳</mo>
+                  <mn>174</mn>
+                  <mo>鈭�</mo>
+                  <mn>106</mn>
+                  <mo>脳</mo>
+                  <mn>166</mn>
+                </mrow>
+                <mrow>
+                  <mn>166</mn>
+                  <mo>脳</mo>
+                  <mn>174</mn>
+                </mrow>
+              </mfrac>
+              <mo>=</mo>
+              <mfrac>
+                <mrow>
+                  <mo>鈭�</mo>
+                  <mn>544</mn>
+                </mrow>
+                <mrow>
+                  <mn>166</mn>
+                  <mo>脳</mo>
+                  <mn>174</mn>
+                </mrow>
+              </mfrac>
+              <mo>锛�</mo>
+              <mn>0</mn>
+            </math>锛屾墍浠�<math display="0">
+              <mfrac>
+                <mn>98</mn>
+                <mn>166</mn>
+              </mfrac>
+              <mo>锛�</mo>
+              <mfrac>
+                <mn>106</mn>
+                <mn>174</mn>
+              </mfrac>
+            </math>.
+          </p>
+          <p>
+            鍙堝洜涓�<math display="0">
+              <mfrac>
+                <mn>98</mn>
+                <mn>166</mn>
+              </mfrac>
+              <mo>鈮�</mo>
+              <mn>0.590</mn>
+              <mn>4</mn>
+            </math>锛�<math display="0">
+              <mfrac>
+                <mn>106</mn>
+                <mn>174</mn>
+              </mfrac>
+              <mo>鈮�</mo>
+              <mn>0.690</mn>
+              <mn>2</mn>
+            </math>锛屾墍浠ョ珛璧疯剼灏栧悗锛岃鑺暰鑸炴紨鍛樼殑涓嬪崐韬暱涓庡叏韬暱鐨勬瘮鍊兼洿鎺ヨ繎0.618.
+          </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">
+              鏈緥涓紝浣滃樊鏃朵篃鍙互杩欐牱璁$畻锛�
+              <math display="0">
+                <mfrac>
+                  <mn>98</mn>
+                  <mn>166</mn>
+                </mfrac>
+                <mo>鈭�</mo>
+                <mfrac>
+                  <mn>106</mn>
+                  <mn>174</mn>
+                </mfrac>
+                <mo>=</mo>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mn>1</mn>
+                  <mo>鈭�</mo>
+                  <mfrac>
+                    <mn>68</mn>
+                    <mn>166</mn>
+                  </mfrac>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+                <mo>-</mo>
+              </math>
+            </p>
+          </div>
+        </div>
       </div>
     </div>
     <!-- 036 -->
@@ -66,7 +487,241 @@
           <li>鏁板.鍩虹妯″潡</li>
           <li>涓婂唽</li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <div class="bk">
+            <p class="block">
+              <math display="0">
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mn>1</mn>
+                  <mo>鈭�</mo>
+                  <mfrac>
+                    <mn>68</mn>
+                    <mn>174</mn>
+                  </mfrac>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+                <mo>=</mo>
+                <mfrac>
+                  <mn>68</mn>
+                  <mn>174</mn>
+                </mfrac>
+                <mo>鈭�</mo>
+                <mfrac>
+                  <mn>68</mn>
+                  <mn>166</mn>
+                </mfrac>
+              </math>
+              .鍥犱负鍒嗗瓙鐩稿悓鏃讹紝鍒嗘瘝瓒婂ぇ锛屽垎鏁拌秺灏忥紝鎵�浠�
+              <math display="0">
+                <mfrac>
+                  <mn>98</mn>
+                  <mn>166</mn>
+                </mfrac>
+                <mo>鈭�</mo>
+                <mfrac>
+                  <mn>106</mn>
+                  <mn>174</mn>
+                </mfrac>
+                <mo>=</mo>
+                <mfrac>
+                  <mn>68</mn>
+                  <mn>174</mn>
+                </mfrac>
+                <mo>=</mo>
+                <mfrac>
+                  <mn>68</mn>
+                  <mn>166</mn>
+                </mfrac>
+                <mo>锛�</mo>
+                <mn>0</mn>
+              </math>.
+            </p>
+          </div>
+
+          <p>
+            <span class="zt-ls"><b>渚�2</b></span>銆�宸茬煡<i>b</i>锛�<i>a</i>锛�0锛�<i>c</i>锛�0锛屾瘮杈�<math display="0">
+              <mfrac>
+                <mrow>
+                  <mi>a</mi>
+                  <mo>+</mo>
+                  <mi>c</mi>
+                </mrow>
+                <mrow>
+                  <mi>b</mi>
+                  <mo>+</mo>
+                  <mi>c</mi>
+                </mrow>
+              </mfrac>
+            </math>涓�<math display="0">
+              <mfrac>
+                <mi>a</mi>
+                <mi>b</mi>
+              </mfrac>
+            </math>鐨勫ぇ灏�.
+          </p>
+          <p>
+            <span class="zt-ls"><b>瑙�</b></span> 浣滃樊鍙緱<math display="0">
+              <mfrac>
+                <mrow>
+                  <mi>a</mi>
+                  <mo>+</mo>
+                  <mi>c</mi>
+                </mrow>
+                <mrow>
+                  <mi>b</mi>
+                  <mo>+</mo>
+                  <mi>c</mi>
+                </mrow>
+              </mfrac>
+              <mo>=</mo>
+              <mfrac>
+                <mi>a</mi>
+                <mi>b</mi>
+              </mfrac>
+              <mo>=</mo>
+              <mfrac>
+                <mrow>
+                  <mrow data-mjx-texclass="INNER">
+                    <mo data-mjx-texclass="OPEN">(</mo>
+                    <mi>a</mi>
+                    <mo>+</mo>
+                    <mi>c</mi>
+                    <mo data-mjx-texclass="CLOSE">)</mo>
+                  </mrow>
+                  <mi>b</mi>
+                </mrow>
+                <mrow>
+                  <mrow data-mjx-texclass="INNER">
+                    <mo data-mjx-texclass="OPEN">(</mo>
+                    <mi>b</mi>
+                    <mo>+</mo>
+                    <mi>c</mi>
+                    <mo data-mjx-texclass="CLOSE">)</mo>
+                  </mrow>
+                  <mi>b</mi>
+                </mrow>
+              </mfrac>
+              <mo>鈭�</mo>
+              <mfrac>
+                <mrow>
+                  <mi>a</mi>
+                  <mrow data-mjx-texclass="INNER">
+                    <mo data-mjx-texclass="OPEN">(</mo>
+                    <mi>b</mi>
+                    <mo>+</mo>
+                    <mi>c</mi>
+                    <mo data-mjx-texclass="CLOSE">)</mo>
+                  </mrow>
+                </mrow>
+                <mrow>
+                  <mi>b</mi>
+                  <mrow data-mjx-texclass="INNER">
+                    <mo data-mjx-texclass="OPEN">(</mo>
+                    <mi>b</mi>
+                    <mo>+</mo>
+                    <mi>c</mi>
+                    <mo data-mjx-texclass="CLOSE">)</mo>
+                  </mrow>
+                </mrow>
+              </mfrac>
+              <mo>=</mo>
+              <mfrac>
+                <mrow>
+                  <mrow data-mjx-texclass="INNER">
+                    <mo data-mjx-texclass="OPEN">(</mo>
+                    <mi>b</mi>
+                    <mo>鈭�</mo>
+                    <mi>a</mi>
+                    <mo data-mjx-texclass="CLOSE">)</mo>
+                  </mrow>
+                  <mi>c</mi>
+                </mrow>
+                <mrow>
+                  <mrow data-mjx-texclass="INNER">
+                    <mo data-mjx-texclass="OPEN">(</mo>
+                    <mi>b</mi>
+                    <mo>+</mo>
+                    <mi>c</mi>
+                    <mo data-mjx-texclass="CLOSE">)</mo>
+                  </mrow>
+                  <mi>b</mi>
+                </mrow>
+              </mfrac>
+            </math>.
+          </p>
+          <p>
+            鍥犱负<i>b</i>锛�<i>a</i>锛�0锛屾墍浠�<i>b</i>-<i>a</i>锛�0.鍙堝洜涓�<i>c</i>锛�0锛屾墍浠�<math display="0">
+              <mfrac>
+                <mrow>
+                  <mrow data-mjx-texclass="INNER">
+                    <mo data-mjx-texclass="OPEN">(</mo>
+                    <mi>b</mi>
+                    <mo>鈭�</mo>
+                    <mi>a</mi>
+                    <mo data-mjx-texclass="CLOSE">)</mo>
+                  </mrow>
+                  <mi>c</mi>
+                </mrow>
+                <mrow>
+                  <mrow data-mjx-texclass="INNER">
+                    <mo data-mjx-texclass="OPEN">(</mo>
+                    <mi>b</mi>
+                    <mo>+</mo>
+                    <mi>c</mi>
+                    <mo data-mjx-texclass="CLOSE">)</mo>
+                  </mrow>
+                  <mi>b</mi>
+                </mrow>
+              </mfrac>
+              <mo>锛�</mo>
+              <mn>0</mn>
+            </math>锛�
+          </p>
+          <p>
+            鍗�<math display="0">
+              <mfrac>
+                <mrow>
+                  <mi>a</mi>
+                  <mo>+</mo>
+                  <mi>c</mi>
+                </mrow>
+                <mrow>
+                  <mi>b</mi>
+                  <mo>+</mo>
+                  <mi>c</mi>
+                </mrow>
+              </mfrac>
+              <mo>鈭�</mo>
+              <mfrac>
+                <mi>a</mi>
+                <mi>b</mi>
+              </mfrac>
+              <mo>锛�</mo>
+              <mn>0</mn>
+            </math>锛屾墍浠�<math display="0">
+              <mfrac>
+                <mrow>
+                  <mi>a</mi>
+                  <mo>+</mo>
+                  <mi>c</mi>
+                </mrow>
+                <mrow>
+                  <mi>b</mi>
+                  <mo>+</mo>
+                  <mi>c</mi>
+                </mrow>
+              </mfrac>
+              <mo>锛�</mo>
+              <mfrac>
+                <mi>a</mi>
+                <mi>b</mi>
+              </mfrac>
+            </math>.
+          </p>
+          <examinations :cardList="questionData[43]" :hideCollect="true" sourceType="json" 
+          v-if="questionData" ></examinations>
+        </div>
       </div>
     </div>
     <!-- 037 -->
@@ -80,7 +735,35 @@
             <p><span>037</span></p>
           </li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <h3 id="c014">涔犻2.1<span class="fontsz2">锛烇紴锛�</span></h3>
+          <examinations :cardList="questionData[44]" :hideCollect="true" sourceType="json" 
+          v-if="questionData" ></examinations>
+          <h2 id="b008">2.2 鍖洪棿<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span></h2>
+          <div class="bk">
+            <div class="bj1">
+              <p class="left"><img class="img-gn1" alt="" src="../../assets/images/gn.jpg" /></p>
+            </div>
+            <p class="block">闂尯闂�</p>
+            <p class="block">寮�鍖洪棿</p>
+            <p class="block">宸﹂棴鍙冲紑鍖洪棿</p>
+            <p class="block">宸﹀紑鍙抽棴鍖洪棿</p>
+          </div>
+          <p class="left"><img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /></p>
+          <p>
+            浠ヤ笉绛夊紡琛ㄧず鍏冪礌鍏卞悓鐗瑰緛鐨勬暟闆嗭紝杩樻湁涓�绉嶆洿涓虹畝鍗曠殑琛ㄧず鏂规硶锛屽彨<b>浣滃尯闂磋〃绀烘硶</b>.
+          </p>
+          <p>璁�<i>a</i>锛�<i>b</i>锛屾垜浠瀹氾細</p>
+          <p>
+            锛�1锛�
+            婊¤冻涓嶇瓑寮�<i>a</i>鈮�<i>x</i>鈮�<i>b</i>鐨�<i>x</i>鐨勯泦鍚堝彨浣�<b>闂尯闂�</b>锛岃〃绀轰负
+            锛�<i>a</i>锛�<i>b</i>锛�.
+          </p>
+          <p>
+            锛�2锛�
+            婊¤冻涓嶇瓑寮�<i>a</i>锛�<i>x</i>锛�<i>b</i>鐨�<i>x</i>鐨勯泦鍚堝彨浣�<b>寮�鍖洪棿</b>锛岃〃绀轰负锛�<i>a</i>锛�<i>b</i>锛�.
+          </p>
+        </div>
       </div>
     </div>
     <!-- 038 -->
@@ -91,7 +774,27 @@
           <li>鏁板.鍩虹妯″潡</li>
           <li>涓婂唽</li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <p>
+            锛�3锛�
+            婊¤冻涓嶇瓑寮�<i>a</i>鈮�<i>x</i>锛�<i>b</i>鍜�<i>a</i>锛�<i>x</i>鈮�<i>b</i>鐨�<i>x</i>鐨勯泦鍚堝垎鍒彨浣�<b>宸﹂棴鍙冲紑鍖洪棿</b>鍜�<b>宸﹀紑鍙抽棴鍖洪棿</b>锛屽垎鍒〃绀轰负
+            锛�<i>a</i>锛�<i>b</i>锛夛紝锛�<i>a</i>锛�<i>b</i>锛�.
+          </p>
+          <p>
+            杩欓噷鐨�<i>a</i>涓�<i>b</i>閮藉彨浣滅浉搴斿尯闂寸殑绔偣.杩欎簺鍖洪棿杩樺彲浠ョ敤鏁拌酱琛ㄧず锛堝琛�2-1鎵�绀猴級.鍦ㄦ暟杞翠笂锛岀敤瀹炲績鐐硅〃绀哄寘鎷湪鍖洪棿鍐呯殑绔偣锛岀敤绌哄績鐐硅〃绀轰笉鍖呮嫭鍦ㄥ尯闂村唴鐨勭鐐�.
+          </p>
+          <p class="img">琛�2-1</p>
+          <p class="center"><img class="img-a" alt="" src="../../assets/images/0049-1.jpg" /></p>
+          <p>
+            瀹炴暟闆�<b>R</b>鍙互鐢ㄥ尯闂磋〃绀轰负锛�-鈭烇紝+鈭烇級.绗﹀彿鈥溾垶鈥濊浣溾�滄棤绌峰ぇ鈥濓紝瀹冧笉鏄竴涓叿浣撶殑鏁帮紝浠呰〃绀烘煇涓噺鍦ㄥ彉鍖栨椂锛岀粷瀵瑰�兼棤闄愬澶х殑瓒嬪娍.鈥�+鈭炩�濊浣溾�滄鏃犵┓澶р�濓紝琛ㄧず鏌愪釜閲忔部姝f柟鍚戞棤闄愬澶э紱鈥�-鈭炩�濊浣溾�滆礋鏃犵┓澶р�濓紝琛ㄧず鏌愪釜閲忔部璐熸柟鍚戞棤闄愬彉鍖栵紝鍏剁粷瀵瑰�兼棤闄愬澶�.
+          </p>
+          <p>
+            鎴戜滑杩樺彲浠ユ妸婊¤冻<i>x</i>鈮�<i>a</i>锛�<i>x</i>锛�<i>a</i>锛�<i>x</i>鈮�<i>b</i>锛�<i>x</i>锛�<i>b</i>鐨�<i>x</i>鐨勯泦鍚堢敤鍖洪棿鍒嗗埆琛ㄧず涓�
+            锛�<i>a</i>锛�+鈭烇級锛岋紙<i>a</i>锛�+鈭烇級锛岋紙-鈭烇紝<i>b</i>锛斤紝锛�-鈭烇紝<i>b</i>锛夛紝濡傝〃2-2鎵�绀�.
+          </p>
+          <p class="img">琛�2-2</p>
+          <p class="center"><img class="img-a" alt="" src="../../assets/images/0049-2.jpg" /></p>
+        </div>
       </div>
     </div>
     <!-- 039 -->
@@ -105,7 +808,151 @@
             <p><span>039</span></p>
           </li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <div class="bk mt-80">
+            <div class="bj1">
+              <p class="left">
+                <img class="img-gn1" alt="" src="../../assets/images/tbts.jpg" />
+              </p>
+            </div>
+            <p class="block">
+              鍖洪棿涔熸槸涓�涓泦鍚堬紝瀹冩槸瀹炴暟闆嗙殑涓�涓瓙闆�.浣嗗苟闈炴墍鏈夌殑鏁伴泦閮借兘鐢ㄥ尯闂磋〃绀�.渚嬪锛岄泦鍚坽1锛�3锛�4锛�5锛�7锛�8锛�11锛�12}銆佽嚜鐒舵暟闆�<b>N</b>銆佹暣鏁伴泦<b>Z</b>灏变笉鑳界敤鍖洪棿琛ㄧず.
+            </p>
+          </div>
+          <p>
+            <span class="zt-ls"><b>渚�1</b></span>銆�鎶婁笅鍒楅泦鍚堢敤鍖洪棿琛ㄧず鍑烘潵锛屽苟鎸囧嚭鍖洪棿鐨勭被鍨�.
+          </p>
+          <p>锛�1锛� {<i>x</i>|-3鈮�<i>x</i>鈮�1}锛涳紙2锛� {<i>x</i>|-1锛�<i>x</i>锛�2}锛�</p>
+          <p>
+            锛�3锛�
+            <math display="0">
+              <mrow data-mjx-texclass="INNER">
+                <mo data-mjx-texclass="OPEN">{</mo>
+                <mi>x</mi>
+                <mrow>
+                  <mo stretchy="false">|</mo>
+                </mrow>
+                <mfrac>
+                  <mn>3</mn>
+                  <mn>2</mn>
+                </mfrac>
+                <mo>鈮�</mo>
+                <mi>x</mi>
+                <mo>锛�</mo>
+                <mn>4</mn>
+                <mo data-mjx-texclass="CLOSE">}</mo>
+              </mrow>
+            </math>锛涳紙4锛�
+            <math display="0">
+              <mrow data-mjx-texclass="INNER">
+                <mo data-mjx-texclass="OPEN">{</mo>
+                <mi>x</mi>
+                <mrow>
+                  <mo stretchy="false">|</mo>
+                </mrow>
+                <mo>鈭�</mo>
+                <mn>6</mn>
+                <mo>锛�</mo>
+                <mi>x</mi>
+                <mo>鈮�</mo>
+                <mo>鈭�</mo>
+                <mfrac>
+                  <mn>1</mn>
+                  <mn>2</mn>
+                </mfrac>
+                <mo data-mjx-texclass="CLOSE">}</mo>
+              </mrow>
+            </math>锛�
+          </p>
+          <p>锛�5锛� {<i>x</i>|<i>x</i>鈮�2}锛涳紙6锛� {<i>x</i>|<i>x</i>锛�1}.</p>
+          <p>
+            <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 锛�-3锛�1锛斤紝鏄棴鍖洪棿锛�
+          </p>
+          <p>锛�2锛夛紙-1锛�2锛夛紝鏄紑鍖洪棿锛�</p>
+          <p>
+            锛�3锛�
+            <math display="0">
+              <mrow data-mjx-texclass="INNER">
+                <mo data-mjx-texclass="OPEN">[</mo>
+                <mfrac>
+                  <mn>3</mn>
+                  <mn>2</mn>
+                </mfrac>
+                <mo>锛�</mo>
+                <mn>4</mn>
+                <mo data-mjx-texclass="CLOSE">)</mo>
+              </mrow>
+            </math>锛屾槸宸﹂棴鍙冲紑鍖洪棿锛�
+          </p>
+          <p>
+            锛�4锛�
+            <math display="0">
+              <mrow data-mjx-texclass="INNER">
+                <mo data-mjx-texclass="OPEN">(</mo>
+                <mo>鈭�</mo>
+                <mn>6</mn>
+                <mo>锛�</mo>
+                <mo>鈭�</mo>
+                <mfrac>
+                  <mn>1</mn>
+                  <mn>2</mn>
+                </mfrac>
+                <mo data-mjx-texclass="CLOSE">]</mo>
+              </mrow>
+            </math>锛屾槸宸﹀紑鍙抽棴鍖洪棿锛�
+          </p>
+          <p>锛�5锛� 锛�2锛�+鈭烇級锛屾槸宸﹂棴鍙冲紑鍖洪棿锛�</p>
+          <p>锛�6锛夛紙-鈭烇紝1锛夛紝鏄紑鍖洪棿.</p>
+          <p>
+            <span class="zt-ls"><b>渚�2</b></span>銆�鐢ㄥ尯闂磋〃绀轰笉绛夊紡3<i>x</i>锛�9<i>x</i>+4鐨勮В闆嗭紝骞跺湪鏁拌酱涓婅〃绀哄嚭鏉�.
+          </p>
+          <p>
+            <span class="zt-ls"><b>瑙�</b></span> 瑙d笉绛夊紡3<i>x</i>锛�9<i>x</i>+4锛屽緱
+          </p>
+          <math display="block">
+            <mi>x</mi>
+            <mo>锛�</mo>
+            <mo>鈭�</mo>
+            <mfrac>
+              <mn>2</mn>
+              <mn>3</mn>
+            </mfrac>
+            <mo>.</mo>
+          </math>
+          <p>
+            鎵�浠ヤ笉绛夊紡鐨勮В闆嗙敤鍖洪棿琛ㄧず涓�<math display="0">
+              <mrow data-mjx-texclass="INNER">
+                <mo data-mjx-texclass="OPEN">(</mo>
+                <mo>鈭�</mo>
+                <mfrac>
+                  <mn>2</mn>
+                  <mn>3</mn>
+                </mfrac>
+                <mo>锛�</mo>
+                <mo>+</mo>
+                <mi mathvariant="normal">鈭�</mi>
+                <mo data-mjx-texclass="CLOSE">)</mo>
+              </mrow>
+            </math>锛岃〃绀哄湪鏁拌酱涓婂鍥�2-1鎵�绀�.
+          </p>
+          <p class="center"><img class="img-c" alt="" src="../../assets/images/0050-7.jpg" /></p>
+          <p class="img">鍥�2-1</p>
+          <p>
+            <span
+              class="zt-ls"><b>渚�3</b></span>銆�璁�<b>R</b>涓哄叏闆嗭紝闆嗗悎<i>A</i>={<i>x</i>|-5锛�<i>x</i>锛�6}锛�<i>B</i>={<i>x</i>|<i>x</i>鈮�3鎴�<i>x</i>鈮�-3}锛岀敤鍖洪棿琛ㄧず<i>A</i>鈭�<i>B</i>.
+          </p>
+          <p>
+            <span class="zt-ls"><b>瑙�</b></span>
+            鍦ㄦ暟杞翠笂灏嗛泦鍚�<i>A</i>锛�<i>B</i>琛ㄧず鍑烘潵锛屽鍥�2-2鎵�绀�.
+          </p>
+          <p class="center"><img class="img-c" alt="" src="../../assets/images/0050-8.jpg" /></p>
+          <p class="img">鍥�2-2</p>
+          <p>
+            <i>A</i>鈭�<i>B</i>={<i>x</i>|-5锛�<i>x</i>锛�6}鈭﹞<i>x</i>|<i>x</i>鈮�3鎴�<i>x</i>鈮�-3}
+          </p>
+          <p>={<i>x</i>|-5锛�<i>x</i>鈮�-3}鈭獅<i>x</i>|3鈮�<i>x</i>锛�6}</p>
+          <p>=锛�-5锛�-3锛解埅锛�3锛�6锛�.</p>
+        </div>
       </div>
     </div>
     <!-- 040 -->
@@ -116,7 +963,28 @@
           <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/stlx.jpg" /></p>
+          <div class="bj">
+            <p>1.鐢ㄥ尯闂磋〃绀轰笅鍒楅泦鍚�.</p>
+            <p>锛�1锛� <i>A</i>={<i>x</i>|<i>x</i>锛�0}锛�</p>
+            <p>锛�2锛� <i>B</i>={<i>x</i>|<i>x</i>锛�0}锛�</p>
+            <p>锛�3锛� <i>M</i>={<i>x</i>|-1锛�<i>x</i>鈮�0}.</p>
+            <p>2.濉┖棰�.</p>
+            <p>锛�1锛� {<i>x</i>|-蟺鈮�<i>x</i>鈮は�}鐢ㄥ尯闂磋〃绀轰负______锛�</p>
+            <p>锛�2锛� {<i>x</i>|-蟺锛�<i>x</i>锛溝�}鐢ㄥ尯闂磋〃绀轰负______锛�</p>
+            <p>锛�3锛� {<i>x</i>|-蟺锛�<i>x</i>鈮は�}鐢ㄥ尯闂磋〃绀轰负______锛�</p>
+            <p>锛�4锛� {<i>x</i>|-蟺鈮�<i>x</i>锛溝�}鐢ㄥ尯闂磋〃绀轰负______锛�</p>
+            <p>锛�5锛� {<i>x</i>|<i>x</i>鈮ハ�}鐢ㄥ尯闂磋〃绀轰负______锛�</p>
+            <p>锛�6锛� {<i>x</i>|<i>x</i>锛�-蟺}鐢ㄥ尯闂磋〃绀轰负______.</p>
+            <p>
+              3.璁�<b>R</b>涓哄叏闆嗭紝闆嗗悎<i>M</i>={<i>x</i>|4<i>x</i>锛�2<i>x</i>+4}锛�<i>P</i>={<i>x</i>|-1鈮�<i>x</i>鈮�1}锛岀敤鍖洪棿琛ㄧず涓嬪垪闆嗗悎.
+            </p>
+            <p>
+              锛�1锛� <i>M</i>鈭�<i>P</i>锛�<i>M</i>鈭�<i>P</i>锛涳紙2锛� 鈭�<i><sub><b>R</b></sub>M</i>锛屸垇<i><sub><b>R</b></sub>P</i>.
+            </p>
+          </div>
+        </div>
       </div>
     </div>
     <!-- 041 -->
@@ -130,7 +998,30 @@
             <p><span>041</span></p>
           </li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <h3 id="c015">涔犻2.2<span class="fontsz2">锛烇紴锛�</span></h3>
+          <examinations :cardList="questionData[47]" :hideCollect="true" sourceType="json"
+            v-if="questionData" ></examinations>
+          <h2 id="b009">
+            2.3 涓�鍏冧簩娆′笉绛夊紡<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span>
+          </h2>
+          <h3 id="c016">
+            2.3.1 涓�鍏冧簩娆′笉绛夊紡鐨勬蹇�<span class="fontsz2">锛烇紴锛�</span>
+          </h3>
+          <p class="left"><img class="img-gn" alt="" src="../../assets/images/wttc.jpg" /></p>
+          <p class="center"><b>姹借溅鎬ュ埞杞︾殑鍋滆溅璺濈</b></p>
+          <p>
+            闅忕潃浜烘皯鐢熸椿璐ㄩ噺鐨勬彁楂橈紝浜轰滑鐨勮喘杞︽剰鎰夸笂鍗�.2021骞存湯鍏ㄥ浗姘戠敤姹借溅淇濇湁閲�30
+            151涓囪締锛屾瘮2020骞存湯澧炲姞2
+            064涓囪締.鍦ㄦ鑳屾櫙涓嬶紝姹借溅琛岄┒瀹夊叏瓒婂彂闇�瑕佸紩璧蜂汉浠殑閲嶈銆傛苯杞﹁椹剁殑杩囩▼涓紝鐢变簬鎯�х殑浣滅敤锛屾�ュ埞杞﹀悗浼氱户缁悜鍓嶆粦琛屼竴娈佃窛绂绘墠鑳藉仠浣忥紝涓�鑸О杩欐璺濈涓烘苯杞︹�滄�ュ埞杞︾殑鍋滆溅璺濈鈥�.鎬ュ埞杞︾殑鍋滆溅璺濈<i>y</i>锛坢锛�
+            涓庤溅閫�<i>x</i>锛坘m/h锛変箣闂村叿鏈夌‘瀹氱殑鍏崇郴.涓嶅悓杞﹀瀷鐨勬苯杞︽�ュ埞杞︾殑鍋滆溅璺濈涓庤溅閫熶箣闂寸殑鍏崇郴涓嶅悓锛屽悓涓�杞﹀瀷鐨勬苯杞︽�ュ埞杞︾殑鍋滆溅璺濈涓庤溅閫熶箣闂寸殑鍏崇郴涔熶細鍥犱负澶╂皵鏉′欢銆侀亾璺姸鍐电瓑鍥犵礌鐨勪笉鍚岃�屽彂鐢熷彉鍖�.
+          </p>
+          <p>
+            鍦ㄦ甯稿ぉ姘旀潯浠朵笅锛屾煇姹借溅鍦ㄩ珮閫熷叕璺笂鎬ュ埞杞︾殑鍋滆溅璺濈<i>y</i>锛坢锛�
+            涓庤溅閫�<i>x</i>锛坘m/h锛�
+            涔嬮棿鐨勫嚱鏁板叧绯讳负<i>y</i>=0.007<i>x</i><sup>2</sup>+0.2<i>x</i>锛屽鏋滃笇鏈涜姹借溅鎬ュ埞杞︾殑鍋滆溅璺濈涓�
+          </p>
+        </div>
       </div>
     </div>
     <!-- 042 -->
@@ -141,7 +1032,58 @@
           <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="t0">
+            瓒呰繃50m锛岄偅涔堝叾琛岄┒閫熷害鐨勮寖鍥存槸澶氬皯锛燂紙娉細楂橀�熷叕璺笂鐨勬渶浣庨�熷害涓�60
+            km/h锛�
+          </p>
+          <p class="left"><img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /></p>
+          <p>
+            涓婅堪闂瑕佹眰鈥滄苯杞︽�ュ埞杞︾殑鍋滆溅璺濈涓嶈秴杩�50
+            m鈥濓紝鍗硑鈮�50.鑰岃姹借溅鎬ュ埞杞︾殑鍋滆溅璺濈涓庤溅閫熶箣闂寸殑鍏崇郴涓�<i>y</i>=0.007<i>x</i><sup>2</sup>+0.2<i>x</i>锛屽洜姝ゅ緱鍒�
+          </p>
+          <p class="center">0.007<i>x</i><sup>2</sup>+0.2<i>x</i>鈮�50.</p>
+          <p>
+            涓轰簡姹傚嚭琛岄┒閫熷害鐨勮寖鍥达紝鎴戜滑闇�瑕佸杩欎釜涓嶇瓑寮忚繘琛屾眰瑙�.杩欎釜涓嶇瓑寮忓彲浠ヨ繘涓�姝ユ暣鐞嗕负
+          </p>
+          <p class="center">0.007<i>x</i><sup>2</sup>+0.2<i>x</i>-50鈮�0.</p>
+          <p>
+            杩欎釜涓嶇瓑寮忓彧鍚湁涓�涓湭鐭ユ暟<i>x</i>锛屽苟涓旀湭鐭ユ暟<i>x</i>鐨勬渶楂樻鏁颁负2.鍍忚繖鏍风殑涓嶇瓑寮忚繕鏈夊緢澶氾紝濡�2<i>x</i><sup>2</sup>+5<i>x</i>-3锛�0锛�3<i>x</i><sup>2</sup>+6<i>x</i>-1锛�0绛�.
+          </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">涓�鍏冧簩娆′笉绛夊紡</p>
+          </div>
+          <p class="left"><img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" /></p>
+          <p>
+            涓�鑸湴锛屽彧鍚湁涓�涓湭鐭ユ暟锛屼笖鏈煡鏁扮殑鏈�楂樻鏁颁负2鐨勬暣寮忎笉绛夊紡锛屽彨浣�<b>涓�鍏冧簩娆′笉绛夊紡</b>.涓�鍏冧簩娆′笉绛夊紡鐨勪竴鑸〃杈惧紡涓�<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>锛�0锛堚墺0锛夋垨<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>锛�0锛堚墹0锛夛紝鍏朵腑<i>a</i>锛�<i>b</i>锛�<i>c</i>鍧囦负甯告暟锛屼笖<i>a</i>鈮�0.
+          </p>
+          <div class="bk">
+            <div class="bj1">
+              <p class="left">
+                <img class="img-gn1" alt="" src="../../assets/images/zshg.jpg" />
+              </p>
+            </div>
+            <p class="block"><b>1.涓�鍏冧簩娆℃柟绋�</b></p>
+            <p class="block">
+              涓�鍏冧簩娆℃柟绋�<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>=0锛�<i>a</i>鈮�0锛夌殑瀹炴暟瑙g殑鎯呭喌涓庢眰瑙e叕寮忓琛�2-3鎵�绀�.
+            </p>
+            <p class="img">琛�2-3</p>
+            <p class="center">
+              <img class="img-a" alt="" src="../../assets/images/0053-1.jpg" />
+            </p>
+            <p class="block">
+              褰�<i>螖</i>=<i>b</i><sup>2</sup>-4<i>ac</i>锛�0鏃讹紝鏈変簺涓�鍏冧簩娆℃柟绋嬩篃鍙互鐢ㄥ洜寮忓垎瑙f硶鍐欐垚<i>a</i>锛�<i>x</i>-<i>x</i>1锛夛紙<i>x</i>-<i>x</i>2锛�=0锛�<i>a</i>鈮�0锛夛紝鐒跺悗鍐嶆眰瑙�.
+            </p>
+            <p class="block"><b>2.浜屾鍑芥暟</b></p>
+            <p class="block">
+              浜屾鍑芥暟<i>y</i>=<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>锛�<i>a</i>鈮�0锛夌殑鍥惧儚鏄竴鏉℃姏鐗╃嚎.褰�<i>a</i>锛�0鏃讹紝鎶涚墿绾垮紑鍙e悜涓婏紱褰�<i>a</i>锛�0鏃讹紝鎶涚墿绾垮紑鍙e悜涓�.鎶涚墿绾夸笌<i>x</i>杞村叡鏈�3绉�
+              浣嶇疆鍏崇郴.
+            </p>
+          </div>
+        </div>
       </div>
     </div>
     <!-- 043 -->
@@ -155,7 +1097,88 @@
             <p><span>043</span></p>
           </li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <div class="bk">
+            <p class="block">
+              锛�1锛� 褰�<i>螖</i>=<i>b</i><sup>2</sup>-4<i>ac</i>锛�0鏃讹紝鎶涚墿绾夸笌<i>x</i>杞存湁涓や釜浜ょ偣锛�
+            </p>
+            <p class="block">
+              锛�2锛� 褰�<i>螖</i>=<i>b</i><sup>2</sup>-4<i>ac</i>=0鏃讹紝鎶涚墿绾夸笌<i>x</i>杞村彧鏈変竴涓氦鐐癸紱
+            </p>
+            <p class="block">
+              锛�3锛� 褰�<i>螖</i>=<i>b</i><sup>2</sup>-4<i>ac</i>锛�0鏃讹紝鎶涚墿绾夸笌<i>x</i>杞存棤浜ょ偣.
+            </p>
+            <p class="block">鎶涚墿绾夸笌<i>x</i>杞寸殑3绉嶄綅缃叧绯诲琛�2-4鎵�绀�.</p>
+            <p class="img">琛�2-4</p>
+            <p class="center">
+              <img class="img-a" alt="" src="../../assets/images/0054-1.jpg" />
+            </p>
+            <p class="block">
+              浜屾鍑芥暟<i>y</i>=<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>锛�<i>a</i>鈮�0锛夌殑鍥惧儚鐨勫绉拌酱鏂圭▼涓�<math display="0">
+                <mi>x</mi>
+                <mo>=</mo>
+                <mo>鈭�</mo>
+                <mfrac>
+                  <mi>b</mi>
+                  <mrow>
+                    <mn>2</mn>
+                    <mi>a</mi>
+                  </mrow>
+                </mfrac>
+              </math>锛岄《鐐瑰潗鏍囦负<math display="0">
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">(</mo>
+                  <mo>鈭�</mo>
+                  <mfrac>
+                    <mi>b</mi>
+                    <mrow>
+                      <mn>2</mn>
+                      <mi>a</mi>
+                    </mrow>
+                  </mfrac>
+                  <mo>锛�</mo>
+                  <mfrac>
+                    <mrow>
+                      <mn>4</mn>
+                      <mi>a</mi>
+                      <mi>c</mi>
+                      <mo>鈭�</mo>
+                      <msup>
+                        <mi>b</mi>
+                        <mrow>
+                          <mn>2</mn>
+                        </mrow>
+                      </msup>
+                    </mrow>
+                    <mrow>
+                      <mn>4</mn>
+                      <mi>a</mi>
+                    </mrow>
+                  </mfrac>
+                  <mo data-mjx-texclass="CLOSE">)</mo>
+                </mrow>
+              </math>锛屼笌<i>y</i>杞寸殑浜ょ偣鍧愭爣涓猴紙0锛�<i>c</i>锛�.
+            </p>
+          </div>
+          <p><b>渚�</b> 宸茬煡浜屾鍑芥暟<i>y</i>=<i>x</i><sup>2</sup>-2<i>x</i>-3锛�</p>
+          <p>锛�1锛� 鐢诲嚭璇ュ嚱鏁板浘鍍忥紱</p>
+          <p>
+            锛�2锛�
+            鎸囧嚭璇ュ嚱鏁板浘鍍忎笂绾靛潗鏍囧垎鍒负<i>y</i>=0锛�<i>y</i>锛�0锛�<i>y</i>锛�0鐨勬墍鏈夌偣锛�
+          </p>
+          <p>
+            锛�3锛�
+            鏍规嵁鍑芥暟鍥惧儚鍐欏嚭<i>y</i>=0锛�<i>y</i>锛�0锛�<i>y</i>锛�0鏃舵墍瀵瑰簲鐨�<i>x</i>鐨勫�兼垨鍙栧�艰寖鍥�.
+          </p>
+          <p class="block">
+            <span
+              class="zt-ls2"><b>鍒嗘瀽</b></span>銆�鈶犳牴鎹�<i>x</i><sup>2</sup>鐨勭郴鏁板垽鏂嚱鏁板浘鍍忥紙鎶涚墿绾匡級鐨勫紑鍙f柟鍚戯紱鈶$敤鍒ゅ埆寮忓垽瀹氬嚭涓�鍏冧簩娆℃柟绋�<i>x</i><sup>2</sup>-2<i>x</i>-3=0鐨勮В鐨勬儏鍐碉紝浠庤�岀‘瀹氫簩娆″嚱鏁�<i>y</i>=<i>x</i><sup>2</sup>-2<i>x</i>-3鐨勫浘鍍忎笌<i>x</i>杞寸殑浜ょ偣涓暟鍜屼氦鐐瑰潗鏍囷紱鈶㈣绠椾簩娆″嚱鏁板浘鍍忕殑椤剁偣鍧愭爣銆佷笌<i>y</i>杞寸殑浜ょ偣鍧愭爣锛涒懀姹傚嚭浜屾鍑芥暟鍥惧儚鐨勫绉拌酱鏂圭▼锛屽苟鍒╃敤鍑芥暟鍥惧儚鐨勫绉版�у啀鎵惧嚭涓�浜涚偣锛涒懁鏈�鍚庢牴鎹笂杩颁俊鎭敾鍑哄嚱鏁板浘鍍�.
+          </p>
+          <p class="block">
+            鐢诲嚭鍥惧儚鍚庯紝<i>y</i>=0锛�<i>y</i>锛�0锛�<i>y</i>锛�0鍒嗗埆瀵瑰簲鍑芥暟鍥惧儚涓�<i>x</i>杞寸浉浜ゃ�佸嚱鏁板浘鍍忓湪<i>x</i>杞翠笂鏂广�佸嚱鏁板浘鍍忓湪<i>x</i>杞翠笅鏂逛笁绉嶆儏褰紝鏍规嵁鍥惧儚瀹屾垚锛�2锛夛紙3锛�
+            涓や釜闂.
+          </p>
+        </div>
       </div>
     </div>
     <!-- 044 -->
@@ -166,7 +1189,111 @@
           <li>鏁板.鍩虹妯″潡</li>
           <li>涓婂唽</li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <examinations :cardList="questionData[51]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
+          v-if="questionData" ></examinations>
+          <p class="center"><img class="img-c" alt="" src="../../assets/images/0055-1.jpg" /></p>
+          <p class="img">鍥�2-3</p>
+          <p>
+            <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍥犱负<i>a</i>=1锛�0锛屾墍浠ュ嚱鏁板浘鍍忎负寮�鍙e悜涓婄殑鎶涚墿绾�.
+          </p>
+          <p>
+            鍥犱负<i>螖</i>=<i>b</i><sup>2</sup>-4<i>ac</i>=锛�-2锛�<sup>2</sup>-4脳1脳锛�-3锛�=16锛�0锛�
+          </p>
+          <p>
+            鎵�浠ヤ竴鍏冧簩娆℃柟绋�<i>x</i><sup>2</sup>-2<i>x</i>-3=0鏈変袱涓笉鐩哥瓑鐨勫疄鏁拌В.
+          </p>
+          <p>瑙f柟绋嬶紝寰�<i>x</i><sub>1</sub>=-1锛�<i>x</i><sub>2</sub>=3.</p>
+          <p>鎵�浠ユ姏鐗╃嚎涓�<i>x</i>杞寸殑浜ょ偣鍧愭爣涓猴紙-1锛�0锛夛紝锛�3锛�0锛�.</p>
+          <p>
+            鎶涚墿绾跨殑椤剁偣鍧愭爣涓�<math display="0">
+              <mrow data-mjx-texclass="INNER">
+                <mo data-mjx-texclass="OPEN">(</mo>
+                <mo>鈭�</mo>
+                <mfrac>
+                  <mi>b</mi>
+                  <mrow>
+                    <mn>2</mn>
+                    <mi>a</mi>
+                  </mrow>
+                </mfrac>
+                <mo>锛�</mo>
+                <mfrac>
+                  <mrow>
+                    <mn>4</mn>
+                    <mi>a</mi>
+                    <mi>c</mi>
+                    <mo>鈭�</mo>
+                    <msup>
+                      <mi>b</mi>
+                      <mrow>
+                        <mn>2</mn>
+                      </mrow>
+                    </msup>
+                  </mrow>
+                  <mrow>
+                    <mn>4</mn>
+                    <mi>a</mi>
+                  </mrow>
+                </mfrac>
+                <mo data-mjx-texclass="CLOSE">)</mo>
+              </mrow>
+            </math>锛屽嵆锛�1锛�-4锛�.
+          </p>
+          <p>
+            鎶涚墿绾跨殑瀵圭О杞存柟绋嬩负<math display="0">
+              <mi>x</mi>
+              <mo>=</mo>
+              <mo>鈭�</mo>
+              <mfrac>
+                <mi>b</mi>
+                <mrow>
+                  <mn>2</mn>
+                  <mi>a</mi>
+                </mrow>
+              </mfrac>
+            </math>锛屽嵆<i>x</i>=1.鎶涚墿绾夸笌<i>y</i>杞寸殑浜ょ偣鍧愭爣涓猴紙0锛�<i>c</i>锛夛紝鍗筹紙0锛�-3锛�.鏍规嵁鍑芥暟鐨勫绉版�э紝鍙互鍐嶅彇涓�浜涚偣锛屽锛�2锛�-3锛�.
+          </p>
+          <p>
+            鏍规嵁浠ヤ笂淇℃伅锛屽氨鍙互鐢诲嚭鍑芥暟<i>y</i>=<i>x</i><sup>2</sup>-2<i>x</i>-3鐨勫浘鍍忥紙濡傚浘2-3鎵�绀猴級.
+          </p>
+          <p>
+            锛�2锛�
+            瑙傚療鍥惧儚鍙煡锛屾弧瓒�<i>y</i>=0鐨勭偣鏄姏鐗╃嚎涓�<i>x</i>杞寸殑浜ょ偣锛涙弧瓒�<i>y</i>锛�0鐨勭偣鏄姏鐗╃嚎鍦�<i>x</i>杞翠笂鏂圭殑鎵�鏈夌偣锛涙弧瓒�<i>y</i>锛�0鐨勭偣鏄姏鐗╃嚎鍦�<i>x</i>杞翠笅鏂圭殑鎵�鏈夌偣.
+          </p>
+          <p>
+            锛�3锛�
+            瑙傚療鍥惧儚鍙煡锛屽綋<i>y</i>=0鏃讹紝瀵瑰簲鎶涚墿绾夸笌<i>x</i>杞寸殑涓や釜浜ょ偣锛屾鏃�<i>x</i>鏈変袱涓彇鍊硷紝<i>x</i><sub>1</sub>=-1锛�<i>x</i><sub>2</sub>=3锛�
+          </p>
+          <p>
+            褰�<i>y</i>锛�0鏃讹紝瀵瑰簲鎶涚墿绾垮湪<i>x</i>杞翠笂鏂圭殑鎵�鏈夌偣锛屾鏃�<i>x</i>鐨勫彇鍊艰寖鍥存槸<i>x</i>锛�-1鎴�<i>x</i>锛�3锛�
+          </p>
+          <p>
+            褰�<i>y</i>锛�0鏃讹紝瀵瑰簲鎶涚墿绾垮湪<i>x</i>杞翠笅鏂圭殑鎵�鏈夌偣锛屾鏃�<i>x</i>鐨勫彇鍊艰寖鍥存槸-1锛�<i>x</i>锛�3.
+          </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[51]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
+            v-if="questionData" ></examinations>
+          </div>
+          <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
+          <div class="bj">
+            <p>宸茬煡涓嬪垪浜屾鍑芥暟锛�</p>
+            <p>
+              鈶�<i>y</i>=<i>x</i><sup>2</sup>-3<i>x</i>-4锛� 鈶�<i>y</i>=<i>x</i><sup>2</sup>+<i>x</i>+2锛�
+              鈶�<i>y</i>=<i>x</i><sup>2</sup>-6<i>x</i>+9.
+            </p>
+            <p>锛�1锛� 鍒嗗埆鐢诲嚭瀹冧滑鐨勫嚱鏁板浘鍍忥紱</p>
+            <p>
+              锛�2锛�
+              鏍规嵁鍑芥暟鍥惧儚鍐欏嚭<i>y</i>=0锛�<i>y</i>锛�0锛�<i>y</i>锛�0鏃舵墍瀵瑰簲鐨�<i>x</i>鐨勫�兼垨鍙栧�艰寖鍥�.
+            </p>
+          </div>
+        </div>
       </div>
     </div>
     <!-- 045 -->
@@ -180,7 +1307,184 @@
             <p><span>045</span></p>
           </li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <h3 id="c017">
+            2.3.2 涓�鍏冧簩娆′笉绛夊紡鐨勫熀鏈В娉�<span class="fontsz2">锛烇紴锛�</span>
+          </h3>
+          <p class="left"><img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /></p>
+          <p>
+            鍥炲埌鏈妭寮�澶寸殑闂锛屽浣曡В涓嶇瓑寮�0.007<i>x</i><sup>2</sup>+0.2<i>x</i>-50鈮�0鍛紵
+          </p>
+          <p>
+            褰�<i>x</i>鍙樺寲鏃讹紝涓嶇瓑寮忕殑宸﹁竟鍙互鐪嬩綔<i>x</i>鐨勪簩娆″嚱鏁�<i>y</i>=0.007<i>x</i><sup>2</sup>+0.2<i>x</i>-50.杩欐牱瑙d笉绛夊紡0.007<i>x</i><sup>2</sup>+0.2<i>x</i>-50鈮�0鐨勯棶棰樺氨鍙互杞寲涓烘眰浜屾鍑芥暟<i>y</i>=0.007<i>x</i><sup>2</sup>+0.2<i>x</i>-50鐨勫浘鍍忎笂<i>y</i>鈮�0鎵�瀵瑰簲鐐圭殑<i>x</i>鐨勫彇鍊艰寖鍥撮棶棰�.
+          </p>
+          <p>
+            浜屾鍑芥暟<i>y</i>=0.007<i>x</i><sup>2</sup>+0.2<i>x</i>-50鐨勫浘鍍忔槸寮�鍙e悜涓婄殑鎶涚墿绾�.鍥犱负<i>螖</i>=<i>b</i><sup>2</sup>-4<i>ac</i>=锛�0.2锛�<sup>2</sup>-4脳0.007脳锛�-50锛�=1.44锛�0锛屾墍浠ユ姏鐗╃嚎涓�<i>x</i>杞存湁涓や釜浜ょ偣锛屼氦鐐圭殑妯潗鏍囨槸鏂圭▼0.007<i>x</i><sup>2</sup>+0.2<i>x</i>-50=0鐨勪袱涓В锛岃В鏂圭▼0.007<i>x</i><sup>2</sup>+0.2<i>x</i>-50=0寰�<i>x</i>1=-100锛�<math
+              display="0">
+              <msub>
+                <mi>x</mi>
+                <mrow>
+                  <mn>2</mn>
+                </mrow>
+              </msub>
+              <mo>=</mo>
+              <mfrac>
+                <mn>500</mn>
+                <mn>7</mn>
+              </mfrac>
+            </math>.鎵�浠ュ浘鍍忎笌<i>x</i>杞寸殑浜ょ偣鍧愭爣涓猴紙-100锛�0锛夛紝<math display="0">
+              <mrow data-mjx-texclass="INNER">
+                <mo data-mjx-texclass="OPEN">(</mo>
+                <mfrac>
+                  <mn>500</mn>
+                  <mn>7</mn>
+                </mfrac>
+                <mo>锛�</mo>
+                <mn>0</mn>
+                <mo data-mjx-texclass="CLOSE">)</mo>
+              </mrow>
+            </math>.瀵圭О杞存柟绋嬩负<math display="0">
+              <mi>x</mi>
+              <mo>=</mo>
+              <mo>鈭�</mo>
+              <mfrac>
+                <mi>b</mi>
+                <mrow>
+                  <mn>2</mn>
+                  <mi>a</mi>
+                </mrow>
+              </mfrac>
+              <mo>=</mo>
+              <mo>鈭�</mo>
+              <mfrac>
+                <mn>100</mn>
+                <mn>7</mn>
+              </mfrac>
+            </math>锛岄《鐐瑰潗鏍囦负<math display="0">
+              <mrow data-mjx-texclass="INNER">
+                <mo data-mjx-texclass="OPEN">(</mo>
+                <mo>鈭�</mo>
+                <mfrac>
+                  <mi>b</mi>
+                  <mrow>
+                    <mn>2</mn>
+                    <mi>a</mi>
+                  </mrow>
+                </mfrac>
+                <mo>锛�</mo>
+                <mfrac>
+                  <mrow>
+                    <mn>4</mn>
+                    <mi>a</mi>
+                    <mi>c</mi>
+                    <mo>鈭�</mo>
+                    <msup>
+                      <mi>b</mi>
+                      <mrow>
+                        <mn>2</mn>
+                      </mrow>
+                    </msup>
+                  </mrow>
+                  <mrow>
+                    <mn>4</mn>
+                    <mi>a</mi>
+                  </mrow>
+                </mfrac>
+                <mo data-mjx-texclass="CLOSE">)</mo>
+              </mrow>
+            </math>锛屽嵆<math display="0">
+              <mrow data-mjx-texclass="INNER">
+                <mo data-mjx-texclass="OPEN">(</mo>
+                <mo>鈭�</mo>
+                <mfrac>
+                  <mn>100</mn>
+                  <mn>7</mn>
+                </mfrac>
+                <mo>锛�</mo>
+                <mo>鈭�</mo>
+                <mfrac>
+                  <mn>360</mn>
+                  <mn>7</mn>
+                </mfrac>
+                <mo data-mjx-texclass="CLOSE">)</mo>
+              </mrow>
+            </math>.
+          </p>
+          <p class="center"><img class="img-c" alt="" src="../../assets/images/0056-6.jpg" /></p>
+          <p class="img">鍥�2-4</p>
+          <p>
+            鏁呬簩娆″嚱鏁�<i>y</i>=0.007<i>x</i><sup>2</sup>+0.2<i>x</i>-50鐨勭畝鍥惧鍥�2-4鎵�绀�.
+          </p>
+          <p>瑙傚療鍥惧儚鍙煡锛�</p>
+          <p>
+            褰�<i>y</i>=0鏃讹紝瀵瑰簲鎶涚墿绾夸笌<i>x</i>杞寸殑涓や釜浜ょ偣锛屾鏃�<i>x</i>1=-100锛�<math display="0">
+              <msub>
+                <mi>x</mi>
+                <mrow>
+                  <mn>2</mn>
+                </mrow>
+              </msub>
+              <mo>=</mo>
+              <mfrac>
+                <mn>500</mn>
+                <mn>7</mn>
+              </mfrac>
+            </math>锛�
+          </p>
+          <p>
+            褰�<i>y</i>锛�0鏃讹紝瀵瑰簲鎶涚墿绾垮湪<i>x</i>杞翠笅鏂圭殑鎵�鏈夌偣锛屾鏃�<i>x</i>鐨勫彇鍊艰寖鍥存槸<math display="0">
+              <mo>鈭�</mo>
+              <mn>100</mn>
+              <mo>锛�</mo>
+              <mi>x</mi>
+              <mo>锛�</mo>
+              <mfrac>
+                <mn>500</mn>
+                <mn>7</mn>
+              </mfrac>
+            </math>.
+          </p>
+          <p>
+            鏁呮弧瓒充笉绛夊紡0.007<i>x</i><sup>2</sup>+0.2<i>x</i>-50鈮�0鐨�<i>x</i>鎵�鍦ㄧ殑鍖洪棿涓�<math display="0">
+              <mrow data-mjx-texclass="INNER">
+                <mo data-mjx-texclass="OPEN">[</mo>
+                <mo>鈭�</mo>
+                <mn>100</mn>
+                <mo>锛�</mo>
+                <mfrac>
+                  <mn>500</mn>
+                  <mn>7</mn>
+                </mfrac>
+                <mo data-mjx-texclass="CLOSE">]</mo>
+              </mrow>
+            </math>.
+          </p>
+          <p>
+            鑰冭檻鍒伴珮閫熷叕璺笂鐨勬渶浣庨�熷害涓�60km/h锛屽鏋滃笇鏈涜姹借溅鎬ュ埞杞︾殑鍋滆溅璺濈涓嶈秴杩�50m锛岄偅涔堝叾琛岄┒閫熷害鐨勮寖鍥存槸<math display="0">
+              <mrow data-mjx-texclass="INNER">
+                <mo data-mjx-texclass="OPEN">[</mo>
+                <mn>60</mn>
+                <mo>锛�</mo>
+                <mfrac>
+                  <mn>500</mn>
+                  <mn>7</mn>
+                </mfrac>
+                <mo data-mjx-texclass="CLOSE">]</mo>
+              </mrow>
+            </math>锛岃椹堕�熷害鐨勬渶澶у�间负<math display="0">
+              <mfrac>
+                <mn>500</mn>
+                <mn>7</mn>
+              </mfrac>
+              <mo>鈮�</mo>
+              <mn>71</mn>
+            </math>锛坘m/h锛�.
+          </p>
+          <p class="left"><img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" /></p>
+          <p>
+            涓�鑸湴锛屼娇涓�鍏冧簩娆′笉绛夊紡鎴愮珛鐨勫�煎彨浣滆繖涓�<b>涓�鍏冧簩娆′笉绛夊紡鐨勮В</b>.
+          </p>
+        </div>
       </div>
     </div>
     <!-- 046 -->
@@ -191,7 +1495,60 @@
           <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="t0">
+            涓�鍏冧簩娆′笉绛夊紡鐨勬墍鏈夎В缁勬垚鐨勯泦鍚堬紝鍙綔杩欎釜<b>涓�鍏冧簩娆′笉绛夊紡鐨勮В闆�</b>.
+          </p>
+          <p>
+            涓婇潰鐨勬儏褰㈣〃鏄庯紝浜屾鍑芥暟鍥惧儚鐨勫紑鍙f柟鍚戝強鍏朵笌<i>x</i>杞寸殑浜ょ偣鍧愭爣锛屽彲浠ョ‘瀹氬叾瀵瑰簲鐨勪竴鍏冧簩娆′笉绛夊紡鐨勮В闆�.
+          </p>
+          <p><b>渚�</b> 鍒╃敤浜屾鍑芥暟鐨勫浘鍍忚В涓嬪垪涓�鍏冧簩娆′笉绛夊紡.</p>
+          <p>
+            锛�1锛� -<i>x</i><sup>2</sup>+3<i>x</i>+4锛�0锛涳紙2锛� <i>x</i><sup>2</sup>-2<i>x</i>+3锛�0.
+          </p>
+          <p class="center"><img class="img-c" alt="" src="../../assets/images/0057-1.jpg" /></p>
+          <p class="img">鍥�2-5</p>
+          <p>
+            <span class="zt-ls"><b>瑙�</b></span>锛�1锛�
+            螖=<i>b</i><sup>2</sup>-4<i>ac</i>=3<sup>2</sup>-4脳锛�-1锛壝�4=25锛�0锛屾墍浠ュ嚱鏁�<i>y</i>=-<i>x</i><sup>2</sup>+3<i>x</i>+4鐨勫浘鍍忎笌<i>x</i>杞存湁涓や釜浜ょ偣.瑙f柟绋�-<i>x</i><sup>2</sup>+3<i>x</i>+4=0鍙緱锛�<i>x</i>1=-1锛�<i>x</i>2=4.
+          </p>
+          <p>
+            鍑芥暟<i>y</i>=-<i>x</i><sup>2</sup>+3<i>x</i>+4鐨勫浘鍍忔槸寮�鍙e悜涓嬬殑鎶涚墿绾匡紝涓�<i>x</i>杞寸殑浜ょ偣鍧愭爣鏄紙-1锛�0锛夛紝锛�4锛�0锛夛紝鍑芥暟<i>y</i>=-<i>x</i><sup>2</sup>+3<i>x</i>+4鐨勫浘鍍忓鍥�2-5鎵�绀�.
+          </p>
+          <p class="center"><img class="img-c" alt="" src="../../assets/images/0057-2.jpg" /></p>
+          <p class="img">鍥�2-6</p>
+          <p>
+            瑙傚療鍥惧儚鍙緱锛屼笉绛夊紡-<i>x</i><sup>2</sup>+3<i>x</i>+4锛�0鐨勮В闆嗘槸锛�-鈭烇紝
+            -1锛夆埅锛�4锛� +鈭烇級.
+          </p>
+          <p>
+            锛�2锛�
+            <i>螖</i>=<i>b</i><sup>2</sup>-4<i>ac</i>=锛�-2锛�<sup>2</sup>-4脳1脳3=-8锛�0锛屾墍浠ュ嚱鏁�<i>y</i>=<i>x</i><sup>2</sup>-2<i>x</i>+3鐨勫浘鍍忎笌<i>x</i>杞存棤浜ょ偣.
+          </p>
+          <p>
+            鍑芥暟<i>y</i>=<i>x</i><sup>2</sup>-2<i>x</i>+3鐨勫浘鍍忔槸寮�鍙e悜涓婄殑鎶涚墿绾匡紝涓�<i>x</i>杞存棤浜ょ偣锛屽叾绠�鍥惧鍥�2-6鎵�绀�.
+          </p>
+          <p>
+            瑙傚療鍥惧儚鍙緱锛屼笉绛夊紡<i>x</i><sup>2</sup>-2<i>x</i>+3锛�0鐨勮В闆嗕负<b>R</b>.
+          </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">
+              渚嬶紙1锛�
+              涓紝娉ㄦ剰鍒颁笉绛夊紡-<i>x</i><sup>2</sup>+3<i>x</i>+4锛�0鈬�<i>x</i><sup>2</sup>-3<i>x</i>-4锛�0锛屼粠鑰屽彲灏嗛棶棰樿浆鍖栨垚瑙d笉绛夊紡<i>x</i><sup>2</sup>-3<i>x</i>-4锛�0锛屽嵆褰撲竴鍏冧簩娆′笉绛夊紡鐨勪簩娆¢」绯绘暟涓鸿礋鏁版椂锛屽彲浠ュ埄鐢ㄤ笉绛夊紡鐨勬�ц川灏嗕笉绛夊紡鍖栨垚浜屾椤圭郴鏁颁负姝f暟鐨勪竴鍏冧簩娆′笉绛夊紡锛屽啀姹傝В.
+            </p>
+          </div>
+          <p class="left"><img class="img-gn" alt="" src="../../assets/images/tjfx.jpg" /></p>
+          <p>
+            閫氳繃涓婇潰鐨勫垎鏋愶紝鍙戠幇浜屾鍑芥暟鐨勫浘鍍忋�佷竴鍏冧簩娆℃柟绋嬬殑瑙c�佷竴鍏冧簩娆′笉绛夊紡鐨勮В闆嗕箣闂存湁鐫�瀵嗗垏鐨勮仈绯伙紝鍙互鎬荤粨鎴愯〃2-5.
+          </p>
+          <p class="img">琛�2-5</p>
+          <p class="center"><img class="img-a" alt="" src="../../assets/images/0057-3.jpg" /></p>
+        </div>
       </div>
     </div>
     <!-- 047 -->
@@ -205,8 +1562,25 @@
             <p><span>047</span></p>
           </li>
         </ul>
-
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <p class="img">缁〃</p>
+          <p class="center"><img class="img-a" alt="" src="../../assets/images/0058-1.jpg" /></p>
+          <p class="left"><img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" /></p>
+          <p>
+            涓�鑸湴锛屼笌浜屾鍑芥暟<i>y</i>=<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>锛�<i>a</i>锛�0锛夊搴旂殑涓�鍏冧簩娆′笉绛夊紡鏈夊洓绉嶆儏褰紝鍒嗗埆鏄�<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>锛�0锛�<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>鈮�0锛�<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>锛�0锛�<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>鈮�0.鍒╃敤浜屾鍑芥暟<i>y</i>=<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>锛�<i>a</i>锛�0锛夌殑鍥惧儚姹傝В鐩稿簲鐨勪竴鍏冧簩娆′笉绛夊紡锛屽彲浠ュ垎涓轰笁姝�.
+          </p>
+          <p>
+            绗竴姝ワ細纭畾鐩稿簲鐨勪竴鍏冧簩娆℃柟绋�<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>=0鐨勫垽鍒紡<i>螖</i>=<i>b</i><sup>2</sup>-4<i>ac</i>锛屼粠鑰岀‘瀹氫簩娆″嚱鏁扮殑鍥惧儚涓�<i>x</i>杞寸殑鐩镐氦鎯呭喌锛涘鏋滄湁浜ょ偣锛屽垯鍒╃敤鏂圭▼<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>=0瑙e嚭浜ょ偣鐨勬í鍧愭爣.
+          </p>
+          <p>
+            绗簩姝ワ細鐢诲嚭浜屾鍑芥暟<i>y</i>=<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>鐨勭畝鍥�.
+          </p>
+          <p>绗笁姝ワ細瑙傚療绠�鍥撅紝鍐欏嚭涓嶇瓑寮忕殑瑙i泦.</p>
+          <div class="bj">
+            <examinations :cardList="questionData[54]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
+            v-if="questionData" ></examinations>
+          </div>
+        </div>
       </div>
     </div>
     <!-- 048 -->
@@ -217,7 +1591,143 @@
           <li>鏁板.鍩虹妯″潡</li>
           <li>涓婂唽</li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <div class="bj">
+            <p>
+              锛�4锛� <i>x</i><sup>2</sup>-3<i>x</i>-4锛�0锛涳紙5锛� <i>x</i><sup>2</sup>-<i>x</i>-2鈮�0锛涳紙6锛�
+              -<i>x</i><sup>2</sup>-3<i>x</i>锛�0锛�
+            </p>
+            <p>
+              锛�7锛� -<i>x</i><sup>2</sup>+5<i>x</i>-6锛�0锛涳紙8锛� -3<i>x</i><sup>2</sup>+2<i>x</i>-1锛�0.
+            </p>
+          </div>
+          <h3 id="c018">
+            2.3.3 鐗规畩绫诲瀷涓�鍏冧簩娆′笉绛夊紡鐨勮В娉�<span class="fontsz2">锛烇紴锛�</span>
+          </h3>
+          <p class="left"><img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /></p>
+          <p>瑙傚療涓嬪垪涓嶇瓑寮忥細</p>
+          <math display="block">
+            <mrow data-mjx-texclass="INNER">
+              <mo data-mjx-texclass="OPEN">(</mo>
+              <mi>x</mi>
+              <mo>+</mo>
+              <mn>1</mn>
+              <mo data-mjx-texclass="CLOSE">)</mo>
+            </mrow>
+            <mrow data-mjx-texclass="INNER">
+              <mo data-mjx-texclass="OPEN">(</mo>
+              <mi>x</mi>
+              <mo>鈭�</mo>
+              <mn>3</mn>
+              <mo data-mjx-texclass="CLOSE">)</mo>
+            </mrow>
+            <mo>锛�</mo>
+            <mn>0</mn>
+            <mo>锛�</mo>
+          </math>
+          <p class="right">鈶�</p>
+          <math display="block">
+            <mrow data-mjx-texclass="INNER">
+              <mo data-mjx-texclass="OPEN">(</mo>
+              <mi>x</mi>
+              <mo>+</mo>
+              <mn>1</mn>
+              <mo data-mjx-texclass="CLOSE">)</mo>
+            </mrow>
+            <mrow data-mjx-texclass="INNER">
+              <mo data-mjx-texclass="OPEN">(</mo>
+              <mi>x</mi>
+              <mo>鈭�</mo>
+              <mn>3</mn>
+              <mo data-mjx-texclass="CLOSE">)</mo>
+            </mrow>
+            <mo>锛�</mo>
+            <mn>0</mn>
+            <mo>锛�</mo>
+          </math>
+          <p class="right">鈶�</p>
+          <math display="block">
+            <mrow data-mjx-texclass="INNER">
+              <mo data-mjx-texclass="OPEN">(</mo>
+              <mi>x</mi>
+              <mo>+</mo>
+              <mn>1</mn>
+              <mo data-mjx-texclass="CLOSE">)</mo>
+            </mrow>
+            <mrow data-mjx-texclass="INNER">
+              <mo data-mjx-texclass="OPEN">(</mo>
+              <mi>x</mi>
+              <mo>鈭�</mo>
+              <mn>3</mn>
+              <mo data-mjx-texclass="CLOSE">)</mo>
+            </mrow>
+            <mo>鈮�</mo>
+            <mn>0</mn>
+            <mo>锛�</mo>
+          </math>
+          <p class="right">鈶�</p>
+          <math display="block">
+            <mrow data-mjx-texclass="INNER">
+              <mo data-mjx-texclass="OPEN">(</mo>
+              <mi>x</mi>
+              <mo>+</mo>
+              <mn>1</mn>
+              <mo data-mjx-texclass="CLOSE">)</mo>
+            </mrow>
+            <mrow data-mjx-texclass="INNER">
+              <mo data-mjx-texclass="OPEN">(</mo>
+              <mi>x</mi>
+              <mo>鈭�</mo>
+              <mn>3</mn>
+              <mo data-mjx-texclass="CLOSE">)</mo>
+            </mrow>
+            <mo>鈮�</mo>
+            <mn>0</mn>
+            <mo>.</mo>
+          </math>
+          <p class="right">鈶�</p>
+          <p class="center"><img class="img-c" alt="" src="../../assets/images/0059-5.jpg" /></p>
+          <p class="img">鍥�2-7</p>
+          <p>
+            浠ヤ笂鍥涗釜涓嶇瓑寮忓搴旂殑浜屾鍑芥暟涓�<i>y</i>=锛�<i>x</i>+1锛夛紙<i>x</i>-3锛夛紝瀵瑰簲鐨勪竴鍏冧簩娆℃柟绋嬩负锛�<i>x</i>+1锛夛紙<i>x</i>-3锛�=0.鍏惰В涓�<i>x</i>1=-1锛�<i>x</i>2=3.浜屾鍑芥暟<i>y</i>=锛�<i>x</i>+1锛夛紙<i>x</i>-3锛夌殑鍥惧儚涓�<i>x</i>杞存湁涓や釜浜ょ偣锛�-1锛�0锛夛紝锛�3锛�0锛�.
+          </p>
+          <p>浜屾鍑芥暟<i>y</i>=锛�<i>x</i>+1锛夛紙<i>x</i>-3锛夌殑绠�鍥惧鍥�2-7鎵�绀�.</p>
+          <p>
+            缁撳悎浜屾鍑芥暟<i>y</i>=锛�<i>x</i>+1锛夛紙<i>x</i>-3锛夌殑绠�鍥撅紝鎴戜滑鍙互寰楀埌浠ヤ笅缁撹.
+          </p>
+          <p>
+            锛�1锛�
+            涓嶇瓑寮忥紙<i>x</i>+1锛夛紙<i>x</i>-3锛夛紲0鐨勮В鍦ㄦ柟绋嬶紙<i>x</i>+1锛夛紙<i>x</i>-3锛�=0鐨勪袱瑙d箣闂达紝瑙i泦涓猴紙-1锛�3锛夛紱
+          </p>
+          <p>
+            锛�2锛�
+            涓嶇瓑寮忥紙<i>x</i>+1锛夛紙<i>x</i>-3锛夛紴0鐨勮В鍦ㄦ柟绋嬶紙<i>x</i>+1锛夛紙<i>x</i>-3锛�=0鐨勪袱瑙d箣澶栵紝瑙i泦涓猴紙-鈭烇紝-1锛夆埅锛�3锛�+鈭烇級锛�
+          </p>
+          <p>
+            锛�3锛�
+            涓嶇瓑寮忥紙<i>x</i>+1锛夛紙<i>x</i>-3锛夆墹0鐨勮В鍦ㄦ柟绋嬶紙<i>x</i>+1锛夛紙<i>x</i>-3锛�=0鐨勪袱瑙d箣闂达紝瑙i泦涓猴蓟-1锛�3锛斤紱
+          </p>
+          <p>
+            锛�4锛�
+            涓嶇瓑寮忥紙<i>x</i>+1锛夛紙<i>x</i>-3锛夆墺0鐨勮В鍦ㄦ柟绋嬶紙<i>x</i>+1锛夛紙<i>x</i>-3锛�=0鐨勪袱瑙d箣澶栵紝瑙i泦涓猴紙-鈭烇紝-1锛解埅锛�3锛�+鈭烇級.
+          </p>
+          <p>
+            涓�鑸湴锛屼竴鍏冧簩娆℃柟绋嬶紙<i>x</i>-<i>p</i>锛夛紙<i>x</i>-<i>q</i>锛�=0锛堝叾涓�<i>p</i>锛�<i>q</i>涓哄疄鏁帮紝骞朵笖<i>p</i>锛�<i>q</i>锛夋湁涓や釜涓嶇浉绛夌殑瀹炴暟瑙�<i>x</i>1=<i>p</i>锛�<i>x</i>2=<i>q</i>锛屼簩娆″嚱鏁�<i>y</i>=锛�<i>x</i>-<i>p</i>锛夛紙<i>x</i>-<i>q</i>锛夌殑绠�鍥惧鍥�2-8鎵�绀�.
+          </p>
+          <p>
+            瑙傚療浜屾鍑芥暟<i>y</i>=锛�<i>x</i>-<i>p</i>锛夛紙<i>x</i>-<i>q</i>锛夌殑绠�鍥撅紝鍙煡涓嬪垪缁撹鎴愮珛.
+          </p>
+          <p class="center"><img class="img-c" alt="" src="../../assets/images/0059-6.jpg" /></p>
+          <p class="img">鍥�2-8</p>
+          <p>
+            锛�1锛�
+            涓嶇瓑寮忥紙<i>x</i>-<i>p</i>锛夛紙<i>x</i>-<i>q</i>锛夛紲0鐨勮В闆嗕负锛�<i>p</i>锛�<i>q</i>锛夛紱
+          </p>
+          <p>
+            锛�2锛�
+            涓嶇瓑寮忥紙<i>x</i>-<i>p</i>锛夛紙<i>x</i>-<i>q</i>锛夛紴0鐨勮В闆嗕负锛�-鈭烇紝<i>p</i>锛夆埅锛�<i>q</i>锛�+鈭烇級锛�
+          </p>
+        </div>
       </div>
     </div>
     <!-- 049 -->
@@ -231,7 +1741,65 @@
             <p><span>049</span></p>
           </li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <p>
+            锛�3锛�
+            涓嶇瓑寮忥紙<i>x</i>-<i>p</i>锛夛紙<i>x</i>-<i>q</i>锛夆墹0鐨勮В闆嗕负锛�<i>p</i>锛�<i>q</i>锛斤紱
+          </p>
+          <p>
+            锛�4锛�
+            涓嶇瓑寮忥紙<i>x</i>-<i>p</i>锛夛紙<i>x</i>-<i>q</i>锛夆墺0鐨勮В闆嗕负锛�-鈭烇紝<i>p</i>锛解埅锛�<i>q</i>锛�+鈭烇級.
+          </p>
+          <p>
+            <span class="zt-ls"><b>渚�1</b></span>銆�瑙d笅鍒椾笉绛夊紡.
+          </p>
+          <p>
+            锛�1锛夛紙<i>x</i>+3锛夛紙<i>x</i>+1锛夛紲0锛涳紙2锛夛紙6-<i>x</i>锛夛紙<i>x</i>+4锛夆墹0.
+          </p>
+          <p>
+            <span class="zt-ls"><b>瑙�</b></span>锛�1锛夛紙<i>x</i>+3锛夛紙<i>x</i>+1锛夛紲0锛屽嵆锛�<i>x</i>-锛�-3锛夛冀锛�<i>x</i>-锛�-1锛夛冀锛�0.
+          </p>
+          <p>鎵�浠ヤ笉绛夊紡鐨勮В闆嗕负锛�-3锛�-1锛�.</p>
+          <p>
+            锛�2锛�
+            鐢憋紙6-<i>x</i>锛夛紙<i>x</i>+4锛夆墹0寰楋紙<i>x</i>-6锛夛紙<i>x</i>+4锛夆墺0锛屽嵆
+          </p>
+          <p class="center">锛�<i>x</i>-6锛夛蓟<i>x</i>-锛�-4锛夛冀鈮�0.</p>
+          <p>鎵�浠ヤ笉绛夊紡鐨勮В闆嗕负锛�-鈭烇紝-4锛解埅锛�6锛�+鈭烇級.</p>
+          <p>
+            <span class="zt-ls"><b>渚�2</b></span>銆�瑙d笅鍒椾笉绛夊紡.
+          </p>
+          <p>
+            锛�1锛夛紙<i>x</i>+1锛�<sup>2</sup>鈮�4锛涳紙2锛夛紙2<i>x</i>-3锛�<sup>2</sup>锛�9.
+          </p>
+          <p class="block">
+            <span
+              class="zt-ls2"><b>鍒嗘瀽</b></span>銆�鐢憋紙<i>x</i>+1锛�<sup>2</sup>鈮�4寰�<i>x</i><sup>2</sup>+2<i>x</i>+1鈮�4锛屽嵆<i>x</i><sup>2</sup>+2<i>x</i>-3鈮�0锛屼粠鑰屽彲浠ュ埄鐢ㄤ簩娆″嚱鏁�<i>y</i>=<i>x</i><sup>2</sup>+2<i>x</i>-3鐨勫浘鍍忚繘琛屾眰瑙o紱娉ㄦ剰鍒�4=2<sup>2</sup>锛屼篃鍙互鑰冭檻灏嗭紙<i>x</i>+1锛�<sup>2</sup>鈮�4鏁寸悊涓猴紙<i>x</i>+1锛�<sup>2</sup>-4鈮�0锛屽苟浣跨敤骞虫柟宸叕寮忥紝鍗筹紙<i>x</i>+1锛�<sup>2</sup>-2<sup>2</sup>鈮�0锛屽緱鍒帮紙<i>x</i>+3锛夛紙<i>x</i>-1锛夆墺0锛屾鏃跺彲浠ュ�熷姪涓婇潰鐨勭粨璁虹洿鎺ユ眰瑙�.涓嬮潰鎴戜滑灏嗕娇鐢ㄥ悗涓�绉嶆柟娉曡繘琛屾眰瑙�.
+          </p>
+          <p>
+            <span class="zt-ls"><b>瑙�</b></span>锛�1锛�
+            鐢憋紙<i>x</i>+1锛�<sup>2</sup>鈮�4寰楋紙<i>x</i>+1锛�<sup>2</sup>-2<sup>2</sup>鈮�0锛�
+          </p>
+          <p>浠庤�屻��銆�锛伙紙<i>x</i>+1锛�+2锛斤蓟锛�<i>x</i>+1锛�-2锛解墺0锛�</p>
+          <p>鍖栫畝寰楋紙<i>x</i>+3锛夛紙<i>x</i>-1锛夆墺0锛�</p>
+          <p>鍗炽��銆�銆�锛�<i>x</i>-锛�-3锛夛冀锛�<i>x</i>-1锛夆墺0锛�</p>
+          <p>鎵�浠ヤ笉绛夊紡鐨勮В闆嗕负锛�-鈭烇紝-3锛解埅锛�1锛�+鈭烇級.</p>
+          <p>
+            锛�2锛�
+            鐢憋紙2<i>x</i>-3锛�<sup>2</sup>锛�9寰楋紙2<i>x</i>-3锛�<sup>2</sup>-3<sup>2</sup>锛�0锛�
+          </p>
+          <p>浠庤�屻��銆�锛伙紙2<i>x</i>-3锛�+3锛斤蓟锛�2<i>x</i>-3锛�-3锛斤紲0锛�</p>
+          <p>鍖栫畝寰椼��2<i>x</i>锛�2<i>x</i>-6锛夛紲0锛�</p>
+          <p>鍗炽��銆�銆�<i>x</i>锛�<i>x</i>-3锛夛紲0锛�</p>
+          <p>鍗筹紙<i>x</i>-0锛夛紙<i>x</i>-3锛夛紲0锛�</p>
+          <p>鎵�浠ヤ笉绛夊紡鐨勮В闆嗕负锛�0锛�3锛�.</p>
+          <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
+          <div class="bj">
+            <p>瑙d笅鍒椾竴鍏冧簩娆′笉绛夊紡.</p>
+            <examinations :cardList="questionData[56]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
+            v-if="questionData" ></examinations>
+          </div>
+        </div>
       </div>
     </div>
     <!-- 050 -->
@@ -242,7 +1810,13 @@
           <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="c019">涔犻2.3<span class="fontsz2">锛烇紴锛�</span></h3>
+          <div class="bj" >
+            <examinations :cardList="questionData[57]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
+            v-if="questionData" ></examinations>
+          </div>
+        </div>
       </div>
     </div>
     <!-- 051 -->
@@ -257,7 +1831,142 @@
           </li>
         </ul>
 
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <h2 id="b010">
+            2.4 鍚粷瀵瑰�肩殑涓嶇瓑寮�<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span>
+          </h2>
+          <h3 id="c020">
+            2.4.1 鍚粷瀵瑰�肩殑涓嶇瓑寮忕殑鍩烘湰瑙f硶<span class="fontsz2">锛烇紴锛�</span>
+          </h3>
+          <p class="left"><img class="img-gn" alt="" src="../../assets/images/wttc.jpg" /></p>
+          <p class="center"><b>鍟嗗搧鎴块鍞腑鐨勪笉绛夊紡鐭ヨ瘑</b></p>
+          <p>
+            鍟嗗搧鎴块鍞椂锛屾埧鍦颁骇寮�鍙戜紒涓氬皢姝e湪寤鸿涓殑鎴垮眿棰勫厛鍑哄敭缁欒喘鎴胯�咃紝
+            骞跺湪璐埧鍚堝悓涓害瀹氭墍璐拱鎴垮眿鐨勫叿浣撻潰绉紙绉颁负鈥滃悎鍚岀害瀹氶潰绉�濓級.鎴垮眿绔e伐鍚庯紝
+            鏍规嵁鐜板満瀹炴祴鐨勬埧灞嬮潰绉绉颁负鈥滀骇鏉冪櫥璁伴潰绉��.涓轰繚鎶よ喘鎴胯�呮潈鐩婏紝
+            鎴戝浗鐩稿叧娉曞緥瑙勫畾锛�
+            棰勫敭鎴垮眿鐨勮喘鎴垮悎鍚屼腑搴斿綋鍐欐槑鈥滃悎鍚岀害瀹氶潰绉�濅笌鈥滀骇鏉冪櫥璁伴潰绉�濆彂鐢熻宸椂鐨勫鐞嗘柟寮�.鍚堝悓鏈綔绾﹀畾鐨勶紝
+            鎸変互涓嬪師鍒欏鐞嗭細鈥滐紙涓�锛� 闈㈢Н璇樊姣旂粷瀵瑰�煎湪3%浠ュ唴锛堝惈3%锛� 鐨勶紝
+            鏍规嵁鈥樹骇鏉冪櫥璁伴潰绉�欑粨绠楁埧浠锋锛涳紙浜岋級
+            闈㈢Н璇樊姣旂粷瀵瑰�艰秴鍑�3%鏃讹紝璐埧鑰呮湁鏉冮��鎴�.鍏朵腑锛�
+            闈㈢Н璇樊姣�=锛堜骇鏉冪櫥璁伴潰绉�-鍚堝悓绾﹀畾闈㈢Н锛�/鍚堝悓绾﹀畾闈㈢Н脳100%.鈥�
+          </p>
+          <p>
+            鏉庡厛鐢熻喘涔伴鍞埧灞嬫椂锛� 鍚堝悓绾﹀畾闈㈢Н涓�100 m<sup>2</sup>.鎴垮眿绔e伐鍚庯紝
+            浜ф潈鐧昏闈㈢Н鍦ㄤ粈涔堣寖鍥存椂锛� 鏉庡厛鐢熼渶瑕佹牴鎹骇鏉冪櫥璁伴潰绉粨绠楁埧浠锋锛�
+            鎴栬�呮湁鏉冮��鎴匡紵
+          </p>
+          <div class="bk">
+            <div class="bj1">
+              <p class="left">
+                <img class="img-gn1" alt="" src="../../assets/images/zshg.jpg" />
+              </p>
+            </div>
+            <p class="block">
+              1.缁濆鍊煎畾涔夛細鏁拌酱涓婅〃绀烘暟<i>a</i>鐨勭偣涓庡師鐐逛箣闂寸殑璺濈鍙綔鏁�<i>a</i>鐨勭粷瀵瑰�硷紝璁颁綔|<i>a</i>|.
+            </p>
+            <p class="block">
+              2.涓�涓鏁扮殑缁濆鍊兼槸瀹冩湰韬紱涓�涓礋鏁扮殑缁濆鍊兼槸瀹冪殑鐩稿弽鏁帮紱0鐨勭粷瀵瑰�兼槸0锛屽嵆
+            </p>
+            <p class="block">
+              <math display="0">
+                <mo stretchy="false">|</mo>
+                <mi>a</mi>
+                <mrow>
+                  <mo stretchy="false">|</mo>
+                </mrow>
+                <mo>=</mo>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">{</mo>
+                  <mtable columnspacing="1em" rowspacing="4pt">
+                    <mtr>
+                      <mtd>
+                        <mi>a</mi>
+                        <mo>锛�</mo>
+                        <mi>a</mi>
+                        <mo>锛�</mo>
+                        <mn>0</mn>
+                        <mo>锛�</mo>
+                      </mtd>
+                      <mtd></mtd>
+                      <mtd></mtd>
+                    </mtr>
+                    <mtr>
+                      <mtd>
+                        <mn>0</mn>
+                        <mo>锛�</mo>
+                        <mi>a</mi>
+                        <mo>=</mo>
+                        <mn>0</mn>
+                        <mo>锛�</mo>
+                      </mtd>
+                      <mtd></mtd>
+                      <mtd></mtd>
+                    </mtr>
+                    <mtr>
+                      <mtd>
+                        <mo>鈭�</mo>
+                        <mi>a</mi>
+                        <mo>锛�</mo>
+                        <mi>a</mi>
+                        <mo>锛�</mo>
+                        <mn>0</mn>
+                        <mo>锛�</mo>
+                      </mtd>
+                      <mtd></mtd>
+                      <mtd></mtd>
+                    </mtr>
+                  </mtable>
+                  <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+                </mrow>
+              </math>锛屼篃鍙互鍐欐垚<math display="0">
+                <mo stretchy="false">|</mo>
+                <mi>a</mi>
+                <mrow>
+                  <mo stretchy="false">|</mo>
+                </mrow>
+                <mo>=</mo>
+                <mrow data-mjx-texclass="INNER">
+                  <mo data-mjx-texclass="OPEN">{</mo>
+                  <mtable columnspacing="1em" rowspacing="4pt">
+                    <mtr>
+                      <mtd>
+                        <mi>a</mi>
+                        <mo>锛�</mo>
+                        <mi>a</mi>
+                        <mo>鈮�</mo>
+                        <mn>0</mn>
+                        <mo>锛�</mo>
+                      </mtd>
+                      <mtd></mtd>
+                      <mtd></mtd>
+                    </mtr>
+                    <mtr>
+                      <mtd>
+                        <mo>鈭�</mo>
+                        <mi>a</mi>
+                        <mo>锛�</mo>
+                        <mi>a</mi>
+                        <mo>锛�</mo>
+                        <mn>0</mn>
+                      </mtd>
+                      <mtd></mtd>
+                      <mtd></mtd>
+                    </mtr>
+                  </mtable>
+                  <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+                </mrow>
+              </math>.
+            </p>
+            <p class="block">
+              3.璁�<i>a</i>锛�0锛屾暟杞翠笂涓庡師鐐圭殑璺濈鏄�<i>a</i>鐨勭偣鏈変袱涓紝瀹冧滑鍒嗗埆鍦ㄥ師鐐逛袱渚э紝鍒嗗埆鏄�-<i>a</i>鍜�<i>a</i>锛屽鍥�2-9鎵�绀�.
+            </p>
+            <p class="center">
+              <img class="img-c" alt="" src="../../assets/images/0062-3.jpg" />
+            </p>
+            <p class="img">鍥�2-9</p>
+          </div>
+        </div>
       </div>
     </div>
     <!-- 052 -->
@@ -268,7 +1977,76 @@
           <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/fxlj.jpg" /></p>
+          <p>
+            鍋囪浜ф潈鐧昏闈㈢Н涓�<i>x</i>锛坢<sup>2</sup>锛夛紝涓婅堪闂鍙敤涓�涓惈鏈夌粷瀵瑰�肩殑涓嶇瓑寮忚〃绀�.
+          </p>
+          <math display="block">
+            <mrow data-mjx-texclass="INNER">
+              <mo data-mjx-texclass="OPEN">|</mo>
+              <mfrac>
+                <mrow>
+                  <mi>x</mi>
+                  <mo>鈭�</mo>
+                  <mn>100</mn>
+                </mrow>
+                <mn>100</mn>
+              </mfrac>
+              <mo data-mjx-texclass="CLOSE">|</mo>
+            </mrow>
+            <mo>鈮�</mo>
+            <mn>3%</mn>
+            <mo>锛屾垨</mo>
+            <mrow data-mjx-texclass="INNER">
+              <mo data-mjx-texclass="OPEN">|</mo>
+              <mfrac>
+                <mrow>
+                  <mi>x</mi>
+                  <mo>鈭�</mo>
+                  <mn>100</mn>
+                </mrow>
+                <mn>100</mn>
+              </mfrac>
+              <mo data-mjx-texclass="CLOSE">|</mo>
+            </mrow>
+            <mo>锛�</mo>
+            <mn>3%</mn>
+            <mo>锛�</mo>
+          </math>
+          <p>鍙寲涓恒��|<i>x</i>-100|鈮�3锛屾垨|<i>x</i>-100|锛�3.</p>
+          <p>濡傛灉鎴戜滑鑳借В鍑鸿繖涓や釜涓嶇瓑寮忥紝灏辫兘鍥炵瓟涓婅堪闂.</p>
+          <p>閭d箞锛屽浣曡В杩欑鍚湁缁濆鍊肩殑涓嶇瓑寮忓憿锛熸垜浠厛浠庣畝鍗曠殑鎯呭舰寮�濮嬪垎鏋�.</p>
+          <p>
+            璁�<i>a</i>锛�0锛岀敱缁濆鍊肩殑鎰忎箟鍙煡锛屽惈鏈夌粷瀵瑰�肩殑鏂圭▼|<i>x</i>|=<i>a</i>鐨勮В鏄�<i>x</i>=<i>a</i>鎴�<i>x</i>=-<i>a</i>.閭d箞锛屽惈鏈夌粷瀵瑰�肩殑涓嶇瓑寮忥紙濡倈<i>x</i>|鈮�<i>a</i>锛寍<i>x</i>|锛�<i>a</i>锛寍<i>x</i>|鈮�<i>a</i>锛寍<i>x</i>|锛�<i>a</i>绛夛級
+            鎬庝箞瑙e憿锛熶笅闈互涓嶇瓑寮弢<i>x</i>|鈮�<i>a</i>锛�<i>a</i>锛�0锛�
+            鍜寍<i>x</i>|锛�<i>a</i>锛�<i>a</i>锛�0锛変负渚嬭繘琛屽垎鏋�.
+          </p>
+          <p>
+            鐢辩粷瀵瑰�肩殑鍑犱綍鎰忎箟锛寍<i>x</i>|琛ㄧず瀹炴暟<i>x</i>瀵瑰簲鐨勭偣涓庡師鐐逛箣闂寸殑璺濈.鍥犳锛屼笉绛夊紡|<i>x</i>|鈮�<i>a</i>锛�<i>a</i>锛�0锛�
+            琛ㄧず鏁拌酱涓婂埌鍘熺偣鐨勮窛绂讳笉澶т簬<i>a</i>鐨勭偣鐨勯泦鍚�.鍦ㄦ暟杞翠笂锛屾弧瓒硘<i>x</i>|鈮�<i>a</i>锛�<i>a</i>锛�0锛�
+            鐨勫疄鏁�<i>x</i>瀵瑰簲鐨勭偣濡傚浘2-10鎵�绀�.
+          </p>
+          <p class="center"><img class="img-c" alt="" src="../../assets/images/0063-2.jpg" /></p>
+          <p class="img">鍥�2-10</p>
+          <p>
+            鎵�浠ヤ笉绛夊紡|<i>x</i>|鈮�<i>a</i>锛�<i>a</i>锛�0锛�
+            鐨勮В闆嗘槸{<i>x</i>|-<i>a</i>鈮�<i>x</i>鈮�<i>a</i>}锛岀敤鍖洪棿琛ㄧず涓猴蓟-<i>a</i>锛�<i>a</i>锛�.
+          </p>
+          <p>
+            鍚岀悊锛屼笉绛夊紡|<i>x</i>|锛�<i>a</i>锛�<i>a</i>锛�0锛�
+            琛ㄧず鏁拌酱涓婂埌鍘熺偣鐨勮窛绂诲ぇ浜�<i>a</i>鐨勭偣鐨勯泦鍚�.鍦ㄦ暟杞翠笂锛屾弧瓒硘<i>x</i>|锛�<i>a</i>锛�<i>a</i>锛�0锛夌殑瀹炴暟<i>x</i>瀵瑰簲鐨勭偣濡傚浘2-11鎵�绀�.
+          </p>
+          <p class="center"><img class="img-c" alt="" src="../../assets/images/0063-3.jpg" /></p>
+          <p class="img">鍥�2-11</p>
+          <p>
+            鎵�浠ヤ笉绛夊紡|<i>x</i>|锛�<i>a</i>锛�<i>a</i>锛�0锛� 鐨勮В闆嗘槸
+            {<i>x</i>|<i>x</i>锛�-<i>a</i>鎴�<i>x</i>锛�<i>a</i>}锛岀敤鍖洪棿琛ㄧず涓猴紙-鈭烇紝-<i>a</i>锛夆埅锛�<i>a</i>锛�+鈭烇級.
+          </p>
+          <p>鐢辨锛屽彲浠ュ緱鍒拌〃2-6.</p>
+          <p class="img">琛�2-6</p>
+          <p class="center"><img class="img-a" alt="" src="../../assets/images/0063-4.jpg" /></p>
+        </div>
       </div>
     </div>
     <!-- 053 -->
@@ -282,7 +2060,74 @@
             <p><span>053</span></p>
           </li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <p><b>渚�</b> 瑙d笉绛夊紡|2<i>x</i>|锛�5.</p>
+          <p>
+            <span class="zt-ls"><b>瑙�</b></span>
+            鐢眧2<i>x</i>|锛�5寰�-5锛�2<i>x</i>锛�5锛�
+          </p>
+          <p>
+            鍗炽��<math display="0">
+              <mo>鈭�</mo>
+              <mfrac>
+                <mn>5</mn>
+                <mn>2</mn>
+              </mfrac>
+              <mo>锛�</mo>
+              <mi>x</mi>
+              <mo>锛�</mo>
+              <mfrac>
+                <mn>5</mn>
+                <mn>2</mn>
+              </mfrac>
+            </math>.
+          </p>
+          <p>
+            鎵�浠ヤ笉绛夊紡鐨勮В闆嗘槸<math display="0">
+              <mrow data-mjx-texclass="INNER">
+                <mo data-mjx-texclass="OPEN">(</mo>
+                <mo>鈭�</mo>
+                <mfrac>
+                  <mn>5</mn>
+                  <mn>2</mn>
+                </mfrac>
+                <mo>锛�</mo>
+                <mfrac>
+                  <mn>5</mn>
+                  <mn>2</mn>
+                </mfrac>
+                <mo data-mjx-texclass="CLOSE">)</mo>
+              </mrow>
+            </math>.
+          </p>
+          <examinations :cardList="questionData[60]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
+          v-if="questionData" ></examinations>
+          <h3 id="c021">
+            2.4.2
+            |<i>ax</i>+<i>b</i>|锛�<i>c</i>鍜寍<i>ax</i>+<i>b</i>|锛�<i>c</i>锛�<i>c</i>锛�0锛夌殑瑙f硶<span class="fontsz2">锛烇紴锛�</span>
+          </h3>
+          <p class="left"><img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /></p>
+          <p>
+            姹傝В姝ょ被涓嶇瓑寮忔椂锛屽彲浠ュ皢<i>ax</i>+<i>b</i>鐪嬩綔涓�涓暣浣擄紝鍐嶅埄鐢ㄥ惈缁濆鍊间笉绛夊紡鐨勫熀鏈В娉曪紝鍘绘帀缁濆鍊硷紝鐒跺悗杩涜姹傝В.
+          </p>
+          <p>
+            <span class="zt-ls"><b>渚�1</b></span>銆�瑙d笉绛夊紡|2<i>x</i>-1|锛�5.
+          </p>
+          <p>
+            <span class="zt-ls"><b>瑙�</b></span>
+            鐢眧2<i>x</i>-1|锛�5寰�-5锛�2<i>x</i>-1锛�5锛�
+          </p>
+          <p>鍗炽��-4锛�2<i>x</i>锛�6锛�</p>
+          <p>銆�銆�-2锛�<i>x</i>锛�3.</p>
+          <p>鎵�浠ヤ笉绛夊紡鐨勮В闆嗘槸锛�-2锛�3锛�.</p>
+          <p>
+            <span class="zt-ls"><b>渚�2</b></span>銆�瑙d笉绛夊紡|1-2<i>x</i>|锛�3.
+          </p>
+          <p>
+            <span class="zt-ls"><b>瑙�</b></span> 鍥犱负|1-2<i>x</i>|=|2<i>x</i>-1|锛�
+          </p>
+          <p>鎵�浠ョ敱|1-2<i>x</i>|锛�3寰梶2<i>x</i>-1|锛�3.</p>
+        </div>
       </div>
     </div>
     <!-- 054 -->
@@ -293,8 +2138,45 @@
           <li>鏁板.鍩虹妯″潡</li>
           <li>涓婂唽</li>
         </ul>
-
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <p>鐢眧2<i>x</i>-1|锛�3寰�-3锛�2<i>x</i>-1锛�3锛�</p>
+          <p>鍗炽��-2锛�2<i>x</i>锛�4锛�</p>
+          <p>銆�銆�-1锛�<i>x</i>锛�2.</p>
+          <p>鎵�浠ヤ笉绛夊紡鐨勮В闆嗘槸锛�-1锛�2锛�.</p>
+          <p>
+            <span class="zt-ls"><b>渚�3</b></span>銆�瑙d笉绛夊紡|<i>x</i>+3|鈮�2.
+          </p>
+          <p>
+            <span class="zt-ls"><b>瑙�</b></span>
+            鐢眧<i>x</i>+3|鈮�2寰�<i>x</i>+3鈮�-2鎴�<i>x</i>+3鈮�2锛�
+          </p>
+          <p>鍗炽��<i>x</i>鈮�-5鎴�<i>x</i>鈮�-1.</p>
+          <p>鎵�浠ヤ笉绛夊紡鐨勮В闆嗘槸锛�-鈭烇紝-5锛解埅锛�-1锛�+鈭烇級.</p>
+          <p>
+            鐜板湪鎴戜滑鍥炲埌鏈妭寮�濮嬬殑闂锛岃В涓嶇瓑寮弢<i>x</i>-100|鈮�3寰�97鈮�<i>x</i>鈮�103锛岃В涓嶇瓑寮弢<i>x</i>-100|锛�3寰�<i>x</i>锛�103鎴�<i>x</i>锛�97.濡傛灉浜ф潈鐧昏闈㈢Н鍦�97
+            m<sup>2</sup>鍜�103 m<sup>2</sup>涔嬮棿锛堝寘鍚�97 m<sup>2</sup>鍜�103
+            m<sup>2</sup>锛�
+            鏃讹紝鏉庡厛鐢熸寜鐓т骇鏉冪櫥璁伴潰绉粨绠楁埧娆撅紱濡傛灉浜ф潈鐧昏闈㈢Н灏忎簬97
+            m<sup>2</sup>鎴栧ぇ浜�103 m<sup>2</sup>鏃讹紝鏉庡厛鐢熸湁鏉冮��鎴�.
+          </p>
+          <p>
+            <span class="zt-ls"><b>渚�4</b></span>銆�瑙d笉绛夊紡|3<i>x</i>-锛�<i>x</i>-2锛墊鈮�2.
+          </p>
+          <p>
+            <span class="zt-ls"><b>瑙�</b></span>
+            鐢眧3<i>x</i>-锛�<i>x</i>-2锛墊鈮�2寰梶3<i>x</i>-<i>x</i>+2|鈮�2锛�
+          </p>
+          <p>鍗炽��銆�|2<i>x</i>+2|鈮�2锛�</p>
+          <p>浠庤�屻��-2鈮�2<i>x</i>+2鈮�2锛�</p>
+          <p>銆�銆�銆�-4鈮�2<i>x</i>鈮�0锛�</p>
+          <p>銆�銆�銆�-2鈮�<i>x</i>鈮�0.</p>
+          <p>鎵�浠ヤ笉绛夊紡鐨勮В闆嗘槸锛�-2锛�0锛�.</p>
+          <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
+          <div class="bj">
+            <examinations :cardList="questionData[61]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
+            v-if="questionData" ></examinations>
+          </div>
+        </div>
       </div>
     </div>
     <!-- 055 -->
@@ -308,7 +2190,29 @@
             <p><span>055</span></p>
           </li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <h3 id="c022">涔犻2.4<span class="fontsz2">锛烇紴锛�</span></h3>
+          <div class="bj">
+            <examinations :cardList="questionData[62]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
+            v-if="questionData" ></examinations>
+          </div>
+          <h2 id="b011">
+            2.5 涓嶇瓑寮忕殑搴旂敤<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span>
+          </h2>
+          <h3 id="c023">
+            2.5.1 涓嶇瓑寮忕殑绠�鍗曞簲鐢�<span class="fontsz2">锛烇紴锛�</span>
+          </h3>
+          <p class="center"><img class="img-c" alt="" src="../../assets/images/0066-11.jpg" /></p>
+          <p class="img">鍥�2-12</p>
+          <p>
+            <span class="zt-ls"><b>渚�1</b></span>銆�鐢ㄧ绗嗗湪澧欒竟鍥翠竴鍧楃煩褰㈠皬鑺卞潧锛屽叾涓竴杈归潬澧欙紙濡傚浘2-12鎵�绀猴級锛岀绗嗘�婚暱涓�8m.鑻ュ皬鑺卞潧鐨勯潰绉笉灏忎簬6
+            m<sup>2</sup>锛屽垯灏忚姳鍧涘瀭鐩翠簬澧欑殑涓�杈圭殑闀垮害鑼冨洿鏄灏戯紵
+          </p>
+          <p>
+            <span class="zt-ls"><b>瑙�</b></span>
+            璁惧皬鑺卞潧鍨傜洿浜庡鐨勪竴杈圭殑闀垮害涓�<i>x</i>锛坢锛夛紝鍒欎笌澧欏钩琛岀殑涓�杈圭殑闀垮害涓猴紙8-2<i>x</i>锛塵.鑰冭檻鍒板疄闄呮儏鍐碉紝鏈�<i>x</i>锛�0锛屽苟涓�8-2<i>x</i>锛�0锛屾墍浠�<i>x</i>婊¤冻0锛�<i>x</i>锛�4.
+          </p>
+        </div>
       </div>
     </div>
     <!-- 056 -->
@@ -319,7 +2223,78 @@
           <li>鏁板.鍩虹妯″潡</li>
           <li>涓婂唽</li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <p>璁惧皬鑺卞潧鐨勯潰绉负<i>S</i>锛坢<sup>2</sup>锛夛紝鍒�</p>
+          <p class="center"><i>S</i>=<i>x</i>锛�8-2<i>x</i>锛夛紝</p>
+          <p class="center"><img class="img-c" alt="" src="../../assets/images/0067-1.jpg" /></p>
+          <p class="img">鍥�2-13</p>
+          <p>鏁寸悊寰� <i>S</i>=-2<i>x</i><sup>2</sup>+8<i>x</i>.</p>
+          <p>
+            鐢遍鎰忓緱 <i>S</i>=-2<i>x</i><sup>2</sup>+8<i>x</i>鈮�6锛屽嵆<i>x</i><sup>2</sup>-4<i>x</i>+3鈮�0.
+          </p>
+          <p>
+            鐢诲嚭浜屾鍑芥暟<i>y</i>=<i>x</i><sup>2</sup>-4<i>x</i>+3鐨勭畝鍥撅紙濡傚浘2-13鎵�绀猴級.
+          </p>
+          <p>鐢卞浘鍍忓緱涓嶇瓑寮忕殑瑙d负{<i>x</i>|1鈮�<i>x</i>鈮�3}.</p>
+          <p>缁撳悎0锛�<i>x</i>锛�4锛屽緱</p>
+          <p class="center">
+            {<i>x</i>|0锛�<i>x</i>锛�4}鈭﹞<i>x</i>|1鈮�<i>x</i>鈮�3}={<i>x</i>|1鈮�<i>x</i>鈮�3}.
+          </p>
+          <p>鎵�浠ュ皬鑺卞潧鍨傜洿浜庡鐨勪竴杈圭殑闀垮害鍦�1m鑷�3m涔嬮棿锛堝惈1m鍜�3m锛�.</p>
+          <p>
+            <span
+              class="zt-ls"><b>渚�2</b></span>銆�鏌愮綉搴楅攢鍞竴绉嶇數鍔ㄧ帺鍏凤紝鎴愭湰涓�10鍏�/涓�.骞虫椂鎸夊崟浠�20鍏冮攢鍞紝鏃ュ钩鍧囬攢鍞噺涓�100涓�.涓鸿繘涓�姝ユ彁鍗囦笟缁╋紝璇ョ綉搴楀喅瀹氬湪鈥滃弻11鈥濇湡闂翠妇鍔為檷浠蜂績閿�娲诲姩.鏍规嵁浠ュ線鐨勭粺璁★紝濡傛灉璇ョ數鍔ㄧ帺鍏风殑鍗曚环姣忛檷浣�0.5鍏冿紝鏃ュ钩鍧囬攢鍞噺灏变細澶х害澧炲姞10涓�.涓轰簡浣夸績閿�娲诲姩鏈熼棿鏃ュ钩鍧囧埄娑︿笉浣庝簬骞虫椂锛屽簲濡備綍纭畾闄嶄环鐨勮寖鍥达紵
+          </p>
+          <p class="block">
+            <span
+              class="zt-ls2"><b>鍒嗘瀽</b></span>銆�鍒╂鼎=锛堥攢鍞崟浠�-鎴愭湰鍗曚环锛壝楅攢鍞噺.闄嶄环杩囩▼涓紝鍗曚环闄嶄綆鑳藉浣块攢鍞噺鍙樺ぇ锛屼絾涔熶娇閿�鍞崟浠蜂笌鎴愭湰鍗曚环鐨勫樊鍑忓皬锛屾墍浠ラ檷浠风殑鑼冨洿搴斾繚璇佸埄娑︿笉浣庝簬淇冮攢鍓�.
+          </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">
+              鐢变緥1鍜屼緥2鍙煡锛屽湪瑙e喅涓庝竴鍏冧簩娆′笉绛夊紡鏈夊叧鐨勫疄闄呴棶棰樻椂锛屼笉浠呰瑙d竴鍏冧簩娆′笉绛夊紡锛岃�屼笖瑕佽�冭檻瀹為檯鑳屾櫙瀵规湭鐭ユ暟鐨勯檺鍒�.鍦ㄤ緥1涓紝瀹為檯鑳屾櫙瀵规湭鐭ユ暟鐨勯檺鍒舵槸0锛�<i>x</i>锛�4锛涘湪渚�2涓紝瀹為檯鑳屾櫙瀵规湭鐭ユ暟鐨勯檺鍒舵槸0锛�<i>x</i>锛�10.
+            </p>
+          </div>
+          <p>
+            <span class="zt-ls"><b>瑙�</b></span>
+            鍋囪闄嶄环<i>x</i>鍏�.鑰冭檻鍒板疄闄呮儏鍐碉紝浠锋牸鐨勯檷骞呭簲灏忎簬10鍏冿紝鍗充繚璇侀攢鍞环楂樹簬鎴愭湰浠凤紝鎵�浠ヨ姹�<i>x</i>锛�0骞朵笖<i>x</i>锛�10锛屽嵆0锛�<i>x</i>锛�10.
+          </p>
+          <p>骞虫椂鐨勬棩骞冲潎鍒╂鼎涓猴紙20-10锛壝�100=1 000锛堝厓锛�.</p>
+          <p>
+            闄嶄环<i>x</i>鍏冨悗锛岄攢鍞崟浠蜂负锛�20-<i>x</i>锛夊厓锛屽崟涓帺鍏风殑鍒╂鼎涓猴紙20-<i>x</i>锛�-10=锛�10-<i>x</i>锛夊厓锛屾棩骞冲潎閿�鍞噺涓�<math display="0">
+              <mrow data-mjx-texclass="INNER">
+                <mo data-mjx-texclass="OPEN">(</mo>
+                <mn>100</mn>
+                <mo>+</mo>
+                <mfrac>
+                  <mn>10</mn>
+                  <mn>0.5</mn>
+                </mfrac>
+                <mi>x</mi>
+                <mo data-mjx-texclass="CLOSE">)</mo>
+              </mrow>
+            </math>涓�.鍥犳锛岄檷浠�<i>x</i>鍏冨悗鐨勬棩骞冲潎鍒╂鼎涓猴紙10-<i>x</i>锛夛紙100+20<i>x</i>锛夊厓.
+          </p>
+          <p>鐢遍鎰忓緱锛�10-<i>x</i>锛夛紙100+20<i>x</i>锛夆墺1 000.</p>
+          <p>鍖栫畝寰�<i>x</i><sup>2</sup>-5<i>x</i>鈮�0锛屽嵆<i>x</i>锛�<i>x</i>-5锛夆墹0.</p>
+          <p>鎵�浠ヤ笉绛夊紡鐨勮В闆嗕负 {<i>x</i>|0鈮�<i>x</i>鈮�5}.</p>
+          <p>
+            鐢变簬0锛�<i>x</i>锛�10锛屾墍浠�<i>x</i>鐨勮寖鍥存槸{<i>x</i>|0锛�<i>x</i>锛�10}鈭﹞<i>x</i>|0鈮�<i>x</i>鈮�5}锛屽嵆{<i>x</i>|0锛�<i>x</i>鈮�5}.鎵�浠ラ檷浠风殑鑼冨洿搴斿湪0鑷�5鍏冧箣闂达紙鍚�5鍏冿紝涓嶅惈0鍏冿級锛屽嵆鍗曚环瀹氬湪15鍏冭嚦20鍏冧箣闂达紙鍚�15鍏冿紝涓嶅惈20鍏冿級锛屼究鑳芥弧瓒宠姹�.
+          </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[63]" :hideCollect="true" sourceType="json" 
+            v-if="questionData" ></examinations>
+          </div>
+        </div>
       </div>
     </div>
     <!-- 057 -->
@@ -333,8 +2308,67 @@
             <p><span>057</span></p>
           </li>
         </ul>
-
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <p class="center"><img class="img-c" alt="" src="../../assets/images/0068-1.jpg" /></p>
+          <p class="img">绗�2棰樺浘</p>
+          <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
+          <div class="bj">
+            <examinations :cardList="questionData[64]" :hideCollect="true" sourceType="json"
+            v-if="questionData" ></examinations>
+          </div>
+          <h3 id="c024">
+            2.5.2 涓嶇瓑寮忎笌澶嶆潅瀹為檯闂<span class="fontsz2">锛烇紴锛�</span>
+          </h3>
+          <p>
+            <span
+              class="zt-ls"><b>渚�1</b></span>銆�鎴戝浗浜ら�氭硶瑙勫灏忓瀷姹借溅椹鹃┒鍛樼殑骞撮緞闄愬埗濡備笅锛氭渶浣庡勾榫�18鍛ㄥ瞾锛屾渶楂樺勾榫�70鍛ㄥ瞾.宸叉湁鐮旂┒琛ㄦ槑锛屽皬鍨嬫苯杞﹂┚椹跺憳瀵圭孩缁跨伅鍙樺寲鐨勫弽搴旀椂闂�<i>y</i>锛坢s锛�
+            涓庨┚椹跺憳骞撮緞<i>x</i>锛堝懆宀侊級
+            鐨勫叧绯讳负<i>y</i>=0.005<i>x</i><sup>2</sup>-0.2<i>x</i>+22锛屽叾涓�18鈮�<i>x</i>鈮�70.闂細鍙嶅簲鏃堕棿瓒呰繃24.5ms鐨勯┚椹跺憳鎵�澶勭殑骞撮緞鑼冨洿鏄灏戯紵
+          </p>
+          <p>
+            <span class="zt-ls"><b>瑙�</b></span> 鐢遍鎰忓緱锛�<i>y</i>=0.005<i>x</i><sup>2</sup>-0.2<i>x</i>+22锛�24.5锛屽嵆
+          </p>
+          <p>銆�銆�銆�銆�銆�0.005<i>x</i><sup>2</sup>-0.2<i>x</i>-2.5锛�0.</p>
+          <p>鍖栫畝寰� <i>x</i><sup>2</sup>-40<i>x</i>-500锛�0.</p>
+          <p class="center"><img class="img-c" alt="" src="../../assets/images/0068-2.jpg" /></p>
+          <p class="img">鍥�2-14</p>
+          <p>
+            鑰冩煡浜屾鍑芥暟<i>y</i>=<i>x</i><sup>2</sup>-40<i>x</i>-500锛�<i>a</i>=1锛�0锛�<i>螖</i>=<i>b</i><sup>2</sup>-4<i>ac</i>=锛�-40锛�<sup>2</sup>-4脳1脳锛�-500锛�=3
+            600锛�0锛屾墍浠ヤ簩娆″嚱鏁�<i>y</i>=<i>x</i><sup>2</sup>-40<i>x</i>-500鐨勫浘鍍忓紑鍙e悜涓婏紝骞朵笖涓�<i>x</i>杞存湁涓や釜浜ょ偣.鍏剁畝鍥惧鍥�2-14鎵�绀�.
+          </p>
+          <p>
+            鐢卞浘鍍忓彲鐭ワ紝涓嶇瓑寮�<i>x</i><sup>2</sup>-40<i>x</i>-500锛�0鐨勮В闆嗕负锛�-鈭烇紝-10锛夆埅锛�50锛�+鈭烇級锛岃繖涔熸槸涓嶇瓑寮�0.005<i>x</i><sup>2</sup>-0.2<i>x</i>-2.5锛�0鐨勮В闆�.
+          </p>
+          <p>
+            鑰冭檻鍒�18鈮�<i>x</i>鈮�70锛屾墍浠�<i>x</i>鐨勮寖鍥存槸锛�50锛�70锛斤紝鍗冲弽搴旀椂闂磋秴杩�24.5
+            <i>ms</i>
+            鐨勯┚椹跺憳鎵�澶勭殑骞撮緞鑼冨洿鍦�50宀佽嚦70宀佷箣闂达紙涓嶅寘鍚�50宀侊紝鍖呭惈70宀侊級.
+          </p>
+          <p>
+            <span class="zt-ls"><b>渚�2</b></span>銆�韬綋璐ㄩ噺鎸囨暟锛圔ody Mass
+            Index锛孊MI锛夋槸琛¢噺浜轰綋鑳栫槮绋嬪害鐨勪竴涓父鐢ㄦ爣鍑嗭紝璁$畻鍏紡涓�<math display="0">
+              <mi>B</mi>
+              <mi>M</mi>
+              <mi>I</mi>
+              <mo>=</mo>
+              <mfrac>
+                <mrow>
+                  <mo>浣撻噸</mo>
+                </mrow>
+                <msup>
+                  <mrow data-mjx-texclass="INNER">
+                    <mo data-mjx-texclass="OPEN">(</mo>
+                    <mo>韬珮</mo>
+                    <mo data-mjx-texclass="CLOSE">)</mo>
+                  </mrow>
+                  <mrow>
+                    <mn>2</mn>
+                  </mrow>
+                </msup>
+              </mfrac>
+            </math>锛圔MI鍗曚綅锛歬g/m<sup>2</sup>锛�.涓�椤圭爺绌舵寚鍑猴紝涓亴瀛︾敓韬綋璐ㄩ噺鎸囨暟涓庤韩浣撶礌璐ㄤ箣闂村瓨鍦ㄤ竴瀹氱殑鍏崇郴.鐮旂┒涓娇鐢ㄨ韩浣撶礌璐ㄦ寚鏍囨潵琛¢噺瀛�
+          </p>
+        </div>
       </div>
     </div>
     <!-- 058 -->
@@ -346,7 +2380,53 @@
           <li>涓婂唽</li>
         </ul>
 
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <p>
+            鐢熺殑韬綋绱犺川锛岃鎸囨爣鏄寚瀛︾敓鍙傚姞50m璺戯紝绔嬪畾璺宠繙锛屽姏閲忥紙鐢风敓寮曚綋鍚戜笂銆佸コ鐢�1鍒嗛挓浠板崸璧峰潗锛夛紝鑰愬姏璺戯紙鐢风敓1
+            000m璺戙�佸コ鐢�800m璺戯級锛屽潗浣嶄綋鍓嶅眻绛夐」鐩殑鎴愮哗鎬诲拰.韬綋绱犺川鎸囨爣涓烘鏁拌鏄庤韩浣撶礌璐ㄨ緝濂�.涓婅堪鐮旂┒鍙戠幇锛岃韩浣撶礌璐ㄦ寚鏍囷紙<i>y</i>锛変笌BMI锛�<i>x</i>锛�
+            涔嬮棿鐨勫叧绯诲琛�2-7鎵�绀�.
+          </p>
+          <p>闂細韬綋绱犺川杈冨ソ鐨勭敺鐢熷拰濂崇敓锛屽叾BMI鐨勮寖鍥村垎鍒槸澶氬皯锛�</p>
+          <p class="img">琛�2-7</p>
+          <p class="center"><img class="img-a" alt="" src="../../assets/images/0069-1.jpg" /></p>
+          <p>
+            <span class="zt-ls"><b>瑙�</b></span>
+            鍏堣�冭檻鐢风敓鐨勬儏鍐�.鐢遍鎰忓緱锛�<i>y</i>=-0.05<i>x</i><sup>2</sup>+2<i>x</i>-19.2锛�0锛屽嵆
+          </p>
+          <p class="center">0.05<i>x</i><sup>2</sup>-2<i>x</i>+19.2锛�0.</p>
+          <p>鍖栫畝寰椼��<i>x</i><sup>2</sup>-40<i>x</i>+384锛�0.</p>
+          <p>
+            鑰冩煡浜屾鍑芥暟<i>y</i>=<i>x</i><sup>2</sup>-40<i>x</i>+384锛�<i>a</i>=1锛�0锛�<i>螖</i>=<i>b</i><sup>2</sup>-4<i>ac</i>=40<sup>2</sup>-4脳1脳384=64锛�0锛屾墍浠ヤ簩娆″嚱鏁�<i>y</i>=<i>x</i><sup>2</sup>-40<i>x</i>+384鐨勫浘鍍忓紑鍙e悜涓婏紝涓�<i>x</i>杞存湁涓や釜浜ょ偣.
+          </p>
+          <p>
+            鎵�浠ヤ笉绛夊紡<i>x</i><sup>2</sup>-40<i>x</i>+384锛�0鐨勮В闆嗕负锛�16锛�24锛夛紝杩欎篃鏄笉绛夊紡-0.05<i>x</i><sup>2</sup>+2<i>x</i>-19.2锛�0鐨勮В闆�.
+          </p>
+          <p>
+            鍐嶈�冭檻濂崇敓鐨勬儏鍐�.鐢遍鎰忓緱锛�<i>y</i>=-0.01<i>x</i><sup>2</sup>+0.39<i>x</i>-3.68锛�0锛屽嵆
+          </p>
+          <p class="center">0.01<i>x</i><sup>2</sup>-0.39<i>x</i>+3.68锛�0.</p>
+          <p>鍖栫畝寰椼��<i>x</i><sup>2</sup>-39<i>x</i>+368锛�0.</p>
+          <p>
+            鑰冩煡浜屾鍑芥暟<i>y</i>=<i>x</i><sup>2</sup>-39<i>x</i>+368锛�<i>a</i>=1锛�0锛�<i>螖</i>=<i>b</i><sup>2</sup>-4<i>ac</i>=锛�-39锛�<sup>2</sup>-4脳1脳368=49锛�0锛屾墍浠ヤ簩娆″嚱鏁�<i>y</i>=<i>x</i><sup>2</sup>-39<i>x</i>+368鐨勫浘鍍忓紑鍙e悜涓婏紝涓�<i>x</i>杞存湁涓や釜浜ょ偣.
+          </p>
+          <p>
+            鎵�浠ヤ笉绛夊紡<i>x</i><sup>2</sup>-39<i>x</i>+368锛�0鐨勮В闆嗕负锛�16锛�23锛夛紝杩欎篃鏄笉绛夊紡-0.01<i>x</i><sup>2</sup>+0.39<i>x</i>-3.68锛�0鐨勮В闆�.
+          </p>
+          <p>
+            鍥犳锛岃韩浣撶礌璐ㄨ緝濂界殑鐢风敓BMI 鐨勮寖鍥存槸锛�16锛�24锛夛紝韬綋绱犺川杈冨ソ鐨勫コ鐢烞MI
+            鐨勮寖鍥存槸锛�16锛�23锛�.
+          </p>
+          <div class="bk-hzjl">
+            <div class="bj1-hzjl">
+              <p class="left">
+                <img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
+              </p>
+            </div>
+            <p class="block">
+              灏忕粍鍚堜綔鏀堕泦鐢ㄤ竴鍏冧簩娆′笉绛夊紡瑙e喅鐨勫疄闄呴棶棰橈紝骞舵帰绌惰В鍐宠繖绫婚棶棰樼殑涓�鑸楠ゅ拰娉ㄦ剰浜嬮」.
+            </p>
+          </div>
+        </div>
       </div>
     </div>
     <!-- 059 -->
@@ -357,22 +2437,21 @@
             <p>绗簩鍗曞厓 涓嶇瓑寮�</p>
           </li>
           <li>
-            <p><span>059</span></p>
+            <p><span>059-060</span></p>
           </li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <h3 id="c025">涔犻2.5<span class="fontsz2">锛烇紴锛�</span></h3>
+          <div  class="bj" >
+            <examinations :cardList="questionData[66]" :hideCollect="true" sourceType="json"
+            v-if="questionData" ></examinations>
+          </div>
+        </div>
       </div>
     </div>
     <!-- 060 -->
-    <div class="page-box" page="67">
-      <div v-if="showPageList.indexOf(67) > -1">
-        <ul class="page-header-odd fl al-end">
-          <li>060</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="67">
+      
     </div>
     <!-- 061 -->
     <div class="page-box" page="68">
@@ -385,7 +2464,117 @@
             <p><span>061</span></p>
           </li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <h2 id="b012">鏁板鍥湴<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span></h2>
+          <p>
+            鏈崟鍏冧腑锛屾垜浠涔犱簡涓嶇瓑寮忕殑涓�浜涙�ц川锛屼互鍙婂浣曡В涓�鍏冧簩娆′笉绛夊紡鍜屽惈缁濆鍊肩殑涓嶇瓑寮�.瀹為檯涓婏紝鏁板棰嗗煙涓繕鏈夊緢澶氫笉绛夊紡锛屼篃琚敤鏉ヨВ鍐崇敓浜х敓娲讳腑鐨勫疄闄呴棶棰�.灏ゅ叾鏄井绉垎浣撶郴寤虹珛浠ュ墠锛屼笉绛夊紡鏄绠楁渶澶у�煎拰鏈�灏忓�奸棶棰樼殑鏈�浣冲伐鍏�.涓嬮潰鎴戜滑浠嬬粛涓�浜涜憲鍚嶇殑涓嶇瓑寮�.
+          </p>
+          <p>
+            濉啓琛�2-8锛屽苟瑙傚療<math display="0">
+              <mfrac>
+                <mrow>
+                  <mi>a</mi>
+                  <mo>+</mo>
+                  <mi>b</mi>
+                </mrow>
+                <mn>2</mn>
+              </mfrac>
+            </math>锛�<math display="0">
+              <msqrt>
+                <mi>a</mi>
+                <mi>b</mi>
+              </msqrt>
+            </math>锛�<math display="0">
+              <mfrac>
+                <mn>2</mn>
+                <mrow>
+                  <mfrac>
+                    <mn>1</mn>
+                    <mi>a</mi>
+                  </mfrac>
+                  <mo>+</mo>
+                  <mfrac>
+                    <mn>1</mn>
+                    <mi>b</mi>
+                  </mfrac>
+                </mrow>
+              </mfrac>
+            </math>杩欎笁涓暟鐨勫ぇ灏忓叧绯�.
+          </p>
+          <p class="img">琛�2-8</p>
+          <p class="center"><img class="img-a" alt="" src="../../assets/images/0072-4.jpg" /></p>
+          <p>
+            濉啓琛�2-9锛屽苟瑙傚療<math display="0">
+              <mfrac>
+                <mrow>
+                  <mi>a</mi>
+                  <mo>+</mo>
+                  <mi>b</mi>
+                  <mo>+</mo>
+                  <mi>c</mi>
+                </mrow>
+                <mn>3</mn>
+              </mfrac>
+            </math>锛�<math display="0">
+              <mroot>
+                <mrow>
+                  <mi>a</mi>
+                  <mi>b</mi>
+                  <mi>c</mi>
+                </mrow>
+                <mn>3</mn>
+              </mroot>
+            </math>锛�<math display="0">
+              <mfrac>
+                <mn>3</mn>
+                <mrow>
+                  <mfrac>
+                    <mn>1</mn>
+                    <mi>a</mi>
+                  </mfrac>
+                  <mo>+</mo>
+                  <mfrac>
+                    <mn>1</mn>
+                    <mi>b</mi>
+                  </mfrac>
+                  <mo>+</mo>
+                  <mfrac>
+                    <mn>1</mn>
+                    <mi>b</mi>
+                  </mfrac>
+                </mrow>
+              </mfrac>
+            </math>杩欎笁涓暟鐨勫ぇ灏忓叧绯�.
+          </p>
+          <p class="img">琛�2-9</p>
+          <p class="center"><img class="img-a" alt="" src="../../assets/images/0072-8.jpg" /></p>
+          <p>閫氳繃濉啓鍜岃瀵熶笂闈袱涓〃鏍硷紝浣犳湁浠�涔堝彂鐜板拰鐚滄兂锛�</p>
+          <p>瀹為檯涓婏紝鑻�<i>a</i>锛�<i>b</i>锛�<i>c</i>鍧囦负姝f暟锛屽垯鍙粰鍑哄涓嬪畾涔�.</p>
+          <p>
+            锛�1锛�
+            <math display="0">
+              <mfrac>
+                <mrow>
+                  <mi>a</mi>
+                  <mo>+</mo>
+                  <mi>b</mi>
+                </mrow>
+                <mn>2</mn>
+              </mfrac>
+            </math>鍙綔<i>a</i>锛�<i>b</i>涓ゆ暟鐨勭畻鏈钩鍧囨暟锛�<math display="0">
+              <mfrac>
+                <mrow>
+                  <mi>a</mi>
+                  <mo>+</mo>
+                  <mi>b</mi>
+                  <mo>+</mo>
+                  <mi>c</mi>
+                </mrow>
+                <mn>3</mn>
+              </mfrac>
+            </math>鍙綔<i>a</i>锛�<i>b</i>锛�<i>c</i>涓夋暟鐨勭畻鏈钩鍧囨暟锛�
+          </p>
+        </div>
       </div>
     </div>
     <!-- 062 -->
@@ -396,7 +2585,264 @@
           <li>鏁板.鍩虹妯″潡</li>
           <li>涓婂唽</li>
         </ul>
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <p>
+            锛�2锛�
+            <math display="0">
+              <msqrt>
+                <mi>a</mi>
+                <mi>b</mi>
+              </msqrt>
+            </math>鍙綔<i>a</i>锛�<i>b</i>涓ゆ暟鐨勫嚑浣曞钩鍧囨暟锛�<math display="0">
+              <mroot>
+                <mrow>
+                  <mi>a</mi>
+                  <mi>b</mi>
+                  <mi>c</mi>
+                </mrow>
+                <mn>3</mn>
+              </mroot>
+            </math>鍙綔<i>a</i>锛�<i>b</i>锛�<i>c</i>涓夋暟鐨勫嚑浣曞钩鍧囨暟锛�
+          </p>
+          <p>
+            锛�3锛�
+            <math display="0">
+              <mfrac>
+                <mn>2</mn>
+                <mrow>
+                  <mfrac>
+                    <mn>1</mn>
+                    <mi>a</mi>
+                  </mfrac>
+                  <mo>+</mo>
+                  <mfrac>
+                    <mn>1</mn>
+                    <mi>b</mi>
+                  </mfrac>
+                </mrow>
+              </mfrac>
+            </math>鍙綔<i>a</i>锛�<i>b</i>涓ゆ暟鐨勮皟鍜屽钩鍧囨暟锛�<math display="0">
+              <mfrac>
+                <mn>3</mn>
+                <mrow>
+                  <mfrac>
+                    <mn>1</mn>
+                    <mi>a</mi>
+                  </mfrac>
+                  <mo>+</mo>
+                  <mfrac>
+                    <mn>1</mn>
+                    <mi>b</mi>
+                  </mfrac>
+                  <mo>+</mo>
+                  <mfrac>
+                    <mn>1</mn>
+                    <mi>c</mi>
+                  </mfrac>
+                </mrow>
+              </mfrac>
+            </math>鍙綔<i>a</i>锛�<i>b</i>锛�<i>c</i>涓夋暟鐨勮皟鍜屽钩鍧囨暟.
+          </p>
+          <p>瑙傚療涓婇潰涓や釜琛ㄦ牸锛屽彲浠ュ彂鐜�</p>
+          <math display="block">
+            <mfrac>
+              <mrow>
+                <mi>a</mi>
+                <mo>+</mo>
+                <mi>b</mi>
+              </mrow>
+              <mn>2</mn>
+            </mfrac>
+            <mo>猢�</mo>
+            <msqrt>
+              <mi>a</mi>
+              <mi>b</mi>
+            </msqrt>
+            <mo>猢�</mo>
+            <mfrac>
+              <mn>2</mn>
+              <mrow>
+                <mfrac>
+                  <mn>1</mn>
+                  <mi>a</mi>
+                </mfrac>
+                <mo>+</mo>
+                <mfrac>
+                  <mn>1</mn>
+                  <mi>b</mi>
+                </mfrac>
+              </mrow>
+            </mfrac>
+            <mo>,</mo>
+            <mfrac>
+              <mrow>
+                <mi>a</mi>
+                <mo>+</mo>
+                <mi>b</mi>
+                <mo>+</mo>
+                <mi>c</mi>
+              </mrow>
+              <mn>3</mn>
+            </mfrac>
+            <mo>猢�</mo>
+            <mroot>
+              <mrow>
+                <mi>a</mi>
+                <mi>b</mi>
+                <mi>c</mi>
+              </mrow>
+              <mn>3</mn>
+            </mroot>
+            <mo>猢�</mo>
+            <mfrac>
+              <mn>3</mn>
+              <mrow>
+                <mfrac>
+                  <mn>1</mn>
+                  <mi>a</mi>
+                </mfrac>
+                <mo>+</mo>
+                <mfrac>
+                  <mn>1</mn>
+                  <mi>b</mi>
+                </mfrac>
+                <mo>+</mo>
+                <mfrac>
+                  <mn>1</mn>
+                  <mi>c</mi>
+                </mfrac>
+              </mrow>
+            </mfrac>
+            <mo>.</mo>
+          </math>
+          <p>
+            澶ц儐鍦版兂涓�鎯筹紝瀵逛簬<i>n</i>涓鏁扮殑绠楁湳骞冲潎鏁般�佸嚑浣曞钩鍧囨暟銆佽皟鍜屽钩鍧囨暟锛屾�庢牱鐢ㄧ鍙疯〃绀猴紵瀹冧滑鐨勫ぇ灏忓叧绯昏兘纭畾鍚楋紵
+          </p>
+          <p>
+            涓�鑸湴锛岃嫢<i>a</i>1锛�<i>a</i>2锛�<i>a</i>3锛屸�︼紝<i>an</i>涓�<i>n</i>涓鏁帮紝鍒欐湁
+          </p>
+          <math display="block">
+            <mfrac>
+              <mrow>
+                <msub>
+                  <mi>a</mi>
+                  <mrow>
+                    <mn>1</mn>
+                  </mrow>
+                </msub>
+                <mo>+</mo>
+                <msub>
+                  <mi>a</mi>
+                  <mrow>
+                    <mn>2</mn>
+                  </mrow>
+                </msub>
+                <mo>+</mo>
+                <msub>
+                  <mi>a</mi>
+                  <mrow>
+                    <mn>3</mn>
+                  </mrow>
+                </msub>
+                <mo>+</mo>
+                <mo>鈰�</mo>
+                <mo>+</mo>
+                <msub>
+                  <mi>a</mi>
+                  <mrow>
+                    <mi>n</mi>
+                  </mrow>
+                </msub>
+              </mrow>
+              <mi>n</mi>
+            </mfrac>
+            <mo>猢�</mo>
+            <mroot>
+              <mrow>
+                <msub>
+                  <mi>a</mi>
+                  <mrow>
+                    <mn>1</mn>
+                  </mrow>
+                </msub>
+                <msub>
+                  <mi>a</mi>
+                  <mrow>
+                    <mn>2</mn>
+                  </mrow>
+                </msub>
+                <msub>
+                  <mi>a</mi>
+                  <mrow>
+                    <mn>3</mn>
+                  </mrow>
+                </msub>
+                <mo>鈰�</mo>
+                <msub>
+                  <mi>a</mi>
+                  <mrow>
+                    <mi>n</mi>
+                  </mrow>
+                </msub>
+              </mrow>
+              <mi>n</mi>
+            </mroot>
+            <mo>猢�</mo>
+            <mfrac>
+              <mi>n</mi>
+              <mrow>
+                <mfrac>
+                  <mn>1</mn>
+                  <msub>
+                    <mi>a</mi>
+                    <mrow>
+                      <mn>1</mn>
+                    </mrow>
+                  </msub>
+                </mfrac>
+                <mo>+</mo>
+                <mfrac>
+                  <mn>1</mn>
+                  <msub>
+                    <mi>a</mi>
+                    <mrow>
+                      <mn>2</mn>
+                    </mrow>
+                  </msub>
+                </mfrac>
+                <mo>+</mo>
+                <mfrac>
+                  <mn>1</mn>
+                  <msub>
+                    <mi>a</mi>
+                    <mrow>
+                      <mn>3</mn>
+                    </mrow>
+                  </msub>
+                </mfrac>
+                <mo>+</mo>
+                <mo>鈰�</mo>
+                <mo>+</mo>
+                <mfrac>
+                  <mn>1</mn>
+                  <msub>
+                    <mi>a</mi>
+                    <mrow>
+                      <mi>n</mi>
+                    </mrow>
+                  </msub>
+                </mfrac>
+              </mrow>
+            </mfrac>
+            <mo>.</mo>
+          </math>
+          <p>
+            鍏朵腑锛屽綋<i>a</i><sub>1</sub>=<i>a</i><sub>1</sub>=<i>a</i><sub>1</sub>=鈥�=<i>an</i>鏃讹紝绛夊彿鎴愮珛.
+          </p>
+          <p>
+            闅忕潃瀛︿範鐨勮繘涓�姝ユ繁鍏ワ紝鎴戜滑灏辫兘澶熻瘉鏄庢暟瀛﹀彶涓婅繖涓憲鍚嶇殑涓嶇瓑寮忥紝骞朵笖鐭ラ亾瀹冪殑骞挎硾搴旂敤.
+          </p>
+        </div>
       </div>
     </div>
     <!-- 063 -->
@@ -410,8 +2856,46 @@
             <p><span>063</span></p>
           </li>
         </ul>
-
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <h2 id="b013">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/0074-1.jpg" /></p>
+          <p class="bj2"><b>瀛︿範鎸囧</b></p>
+          <p>1.涓嶇瓑寮忕殑鍩烘湰鎬ц川.</p>
+          <p>锛�1锛� 姣旇緝鏁帮紙寮忥級鐨勫ぇ灏忓父鐢ㄢ�滀綔宸瘮杈冩硶鈥�.</p>
+          <p>锛�2锛� 杩愮敤涓嶇瓑寮忕殑鎬ц川鏃讹紝瑕佹敞鎰忛獙璇佹潯浠舵槸鍚﹂兘婊¤冻.</p>
+          <p>2.鍖洪棿.</p>
+          <p>
+            鍖洪棿鏄泦鍚堢殑涓�绉嶈〃绀哄舰寮忥紝涓昏鍖呮嫭寮�鍖洪棿銆侀棴鍖洪棿銆佸乏寮�鍙抽棴鍖洪棿鍜屽彸寮�宸﹂棴鍖洪棿.
+          </p>
+          <p>3.涓�鍏冧簩娆′笉绛夊紡.</p>
+          <p>
+            锛�1锛� 灏嗕竴鍏冧簩娆′笉绛夊紡缁熶竴鍖栨垚<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>锛�0锛堚墺0锛�
+            鎴�<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>锛�0锛堚墹0锛�
+            鐨勫舰寮�.
+          </p>
+          <p>
+            锛�2锛� 鑻�<i>a</i>锛�0锛屾鏃朵簩娆″嚱鏁扮殑鍥惧儚寮�鍙e悜涓婏紝璁$畻鍒ゅ埆寮�<i>螖</i>=<i>b</i><sup>2</sup>-4<i>ac</i>.
+          </p>
+          <p>
+            鈶犲綋<i>螖</i>锛�0鏃讹紝浜屾鍑芥暟鐨勫浘鍍忎笌<i>x</i>杞存湁涓や釜涓嶅悓鐨勪氦鐐癸紙<i>x</i><sub>1</sub>锛�0锛夛紝锛�<i>x</i><sub>2</sub>锛�0锛夛紙<i>x</i><sub>1</sub>锛�<i>x</i><sub>2</sub>锛�.鐢诲嚭鍑芥暟绠�鍥撅紝鍙緱濡備笅缁撹.
+          </p>
+          <p>
+            <i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>锛�0鐨勮В闆嗕负锛�-鈭烇紝<i>x</i><sub>1</sub>锛夆埅锛�<i>x</i><sub>2</sub>锛�+鈭烇級锛�
+          </p>
+          <p>
+            <i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>鈮�0鐨勮В闆嗕负锛�-鈭烇紝<i>x</i><sub>1</sub>锛解埅锛�<i>x</i><sub>2</sub>锛�+鈭烇級锛�
+          </p>
+          <p>
+            <i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>锛�0鐨勮В闆嗕负锛�<i>x</i><sub>1</sub>锛�<i>x</i><sub>2</sub>锛夛紱
+          </p>
+          <p>
+            <i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>鈮�0鐨勮В闆嗕负 锛�<i>x</i><sub>1</sub>锛�<i>x</i><sub>2</sub>锛�.
+          </p>
+          <p>
+            鈶″綋<i>螖</i>=0鏃讹紝浜屾鍑芥暟鐨勫浘鍍忎笌<i>x</i>杞村彧鏈変竴涓氦鐐癸紙<i>x</i><sub>0</sub>锛�0锛�.鐢诲嚭鍑芥暟绠�鍥撅紝鍙緱濡備笅缁撹.
+          </p>
+        </div>
       </div>
     </div>
     <!-- 064 -->
@@ -423,58 +2907,109 @@
           <li>涓婂唽</li>
         </ul>
 
-        <div class="padding-116"></div>
+        <div class="padding-116">
+          <p>
+            <i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>锛�0鐨勮В闆嗕负锛�-鈭烇紝<i>x</i><sub>0</sub>锛夆埅锛�<i>x</i><sub>0</sub>锛�+鈭烇級锛�
+          </p>
+          <p><i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>鈮�0鐨勮В闆嗕负<b>R</b>锛�</p>
+          <p><i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>锛�0鐨勮В闆嗕负 鈭咃紱</p>
+          <p>
+            <i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>鈮�0鐨勮В闆嗕负 {<i>x</i>|<i>x</i>=<i>x</i><sub>0</sub>}.
+          </p>
+          <p>
+            鈶㈠綋<i>螖</i>锛�0鏃讹紝浜屾鍑芥暟鐨勫浘鍍忎笌<i>x</i>杞存病鏈変氦鐐�.鐢诲嚭鍑芥暟绠�鍥撅紝鍙緱濡備笅缁撹.
+          </p>
+          <p>
+            <i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>锛�0鍜�<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>鈮�0鐨勮В闆嗗潎涓�<b>R</b>锛�
+          </p>
+          <p>
+            <i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>锛�0鍜�<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>鈮�0鐨勮В闆嗗潎涓� 鈭�.
+          </p>
+          <p>
+            锛�3锛�
+            鑻�<i>a</i>锛�0锛屽垯鍙互杞寲涓�-<i>ax</i><sup>2</sup>-<i>bx</i>-<i>c</i>锛�0锛堚墺0锛夋垨-<i>ax</i><sup>2</sup>-<i>bx</i>-<i>c</i>锛�0锛堚墹0锛夌殑鎯呭舰锛岀劧鍚庡啀鎸夋楠わ紙2锛�
+            鐨勬柟娉曡繘琛屾眰瑙�.
+          </p>
+          <p>4.鍚粷瀵瑰�肩殑涓嶇瓑寮�.</p>
+          <p>
+            锛�1锛�
+            涓嶇瓑寮忥綔<i>x</i>锝溾墹<i>a</i>锛�<i>a</i>锛�0锛夌殑瑙i泦鏄瘂<i>x</i>锝�-<i>a</i>鈮�<i>x</i>鈮�<i>a</i>}锛岀敤鍖洪棿琛ㄧず涓猴蓟-<i>a</i>锛�<i>a</i>锛�.
+          </p>
+          <p>
+            锛�2锛�
+            涓嶇瓑寮忥綔<i>x</i>锝滐紴<i>a</i>锛�<i>a</i>锛�0锛夌殑瑙i泦鏄瘂<i>x</i>锝�<i>x</i>锛�-<i>a</i>鎴�<i>x</i>锛�<i>a</i>}锛岀敤鍖洪棿琛ㄧず涓猴紙-鈭烇紝-<i>a</i>锛夆埅锛�<i>a</i>锛�+鈭烇級.
+          </p>
+          <p>
+            锛�3锛�
+            姹傝В褰㈠锝�<i>ax</i>+<i>b</i>锝滐紲<i>c</i>鍜岋綔<i>ax</i>+<i>b</i>锝滐紴<i>c</i>锛�<i>c</i>锛�0锛夌殑涓嶇瓑寮忔椂锛屽彲浠ュ皢<i>ax</i>+<i>b</i>鐪嬩綔涓�涓暣浣擄紝
+            鍐嶅埄鐢ㄥ惈缁濆鍊间笉绛夊紡鐨勫熀鏈В娉曪紝 鍘绘帀缁濆鍊硷紝 鐒跺悗杩涜姹傝В.
+          </p>
+          <p>5.涓嶇瓑寮忕殑搴旂敤.</p>
+          <p>
+            锛�1锛�
+            鍦ㄨВ鍐抽棶棰樼殑杩囩▼涓綋楠屽浣曚娇鐢ㄤ簩娆″嚱鏁扮殑鍥惧儚鐩磋鍦板緱鍑轰竴鍏冧簩娆′笉绛夊紡鐨勮В闆嗭紝瀛︿細鍒╃敤鏁板舰缁撳悎鐨勬�濇兂鏂规硶瑙e喅闂.
+          </p>
+          <p>锛�2锛� 搴旂敤涓�鍏冧簩娆′笉绛夊紡瑙e喅瀹為檯闂鏃讹紝瑕佹敞鎰忔湭鐭ラ噺鐨勫疄闄呮剰涔�.</p>
+        </div>
       </div>
     </div>
     <!-- 065 -->
     <div class="page-box" page="72">
       <div v-if="showPageList.indexOf(72) > -1">
-
         <ul class="page-header-box">
           <li>
             <p>绗簩鍗曞厓 涓嶇瓑寮�</p>
           </li>
           <li>
-            <p><span>065</span></p>
+            <p><span>065-066</span></p>
           </li>
         </ul>
-
-        <div class="padding-116">72</div>
+        <div class="padding-116">
+          <h2 id="b014">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[72]" :hideCollect="true" sourceType="json"
+            v-if="questionData" ></examinations>
+          </div>
+        </div>
       </div>
     </div>
     <!-- 066 -->
-    <div class="page-box" page="73">
-      <div v-if="showPageList.indexOf(73) > -1">
-        <ul class="page-header-odd fl al-end">
-          <li>066</li>
-          <li>鏁板.鍩虹妯″潡</li>
-          <li>涓婂唽</li>
-        </ul>
-        <div class="padding-116">73</div>
-      </div>
+    <div class="page-box hidePage" page="73">
     </div>
   </div>
 </template>
 
 <script>
+import examinations from '@/components/examinations/index.vue'
 export default {
-  name: '',
+  name: "",
   props: {
     showPageList: {
       type: Array,
       default: [],
     },
+    questionData: {
+      type: Object,
+    },
   },
-  components: {},
+  components: {examinations},
   data() {
-    return {}
+    return {};
   },
-  computed: {},
-  watch: {},
-  created() { },
   mounted() { },
   methods: {},
-}
+};
 </script>
 
-<style lang="less" scoped></style>
+<style lang="less" scoped>
+.pr {
+  position: relative;
+}
+
+.pa-bk {
+  position: absolute;
+  right: 45px;
+  top: 0;
+  width: 140px;
+}
+</style>

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