数学

闫增涛

2024-10-21 4a4c35cb4e9f00fef9694ca37ae25d303d77ad43

数学

 .env.product

@@ -1,8 +1,8 @@
VUE_APP_ENV = 'product'
VUE_APP_API_URL = "https://jsek.bnuic.com"
VUE_APP_RESOURCE_CTX = 'https://jsek.bnuic.com/books/resource/'
VUE_APP_PUBLIC_PATH = 'https://jsek.bnuic.com/books/book/botany'
VUE_APP_PUBLIC_PATH = 'https://jsek.bnuic.com/books/book/mathBook'
# VUE_APP_RESOURCE_CTX = 'http://182.92.203.7:3007/books/resource/'
# VUE_APP_PUBLIC_PATH = 'http://182.92.203.7:3007/books/book/botany'
VUE_APP_BOOK_LIST = "childHealth/lifeCare/sportsAndHealth/embedded/english/artAndDance/artAndDrama/mathBook/botany"
VUE_APP_BOOK_ID = 'botany'
VUE_APP_BOOK_ID = 'mathBook'

 src/books/mathBook/assets/main.less

@@ -430,7 +430,7 @@
  .page-box {
    position: relative;
    box-sizing: border-box;
    min-height: 1150px;
    min-height: 1120px;
    margin-bottom: 20px;
    box-shadow: 0 3px 6px 1px #00000029;
    background-color: #fff;
@@ -583,7 +583,7 @@
  }
  .page-box {
    box-sizing: border-box;
    min-height: 1150px;
    min-height: 1120px;
    margin-bottom: 20px;
    box-shadow: 0 3px 6px 1px #00000029;
    background-color: #fff;

 src/books/mathBook/view/components/chapter001.vue

@@ -67,7 +67,7 @@
          </p>
          <p>（2） 0～10中的所有奇数；</p>
          <p>（3） 我国农历二十四节气；</p>
          <p>（4） 方程x2-5x-6=0的解；</p>
          <p>（4） 方程<i>x</i><sup>2</sup>-5<i>x</i>-6=0的解；</p>
          <p>（5） 到一个角的两边距离相等的所有点.</p>

          <p class="left">
@@ -804,16 +804,14 @@
        </ul>
        <div class="padding-116">
          <div class="center openImgBox">
            <img class="img-c" alt="" src="../../assets/images/0023-1.jpg" style="margin-top: 30px" />
            <img class="img-b" alt="" src="../../assets/images/0023-1.jpg" style="margin-top: 30px" />
            <p class="img" style="font-size: 14px">图1-4</p>
          </div>

          <p>根据子集的定义，任何一个集合A都是它自身的子集，即A⊆A.</p>
          <p>
            我们规定：<b>空集是任何集合的子集</b>
            ，即对于任何一个集合A，都有∅⊆A.
          </p>

          <div class="img-float openImgBox">
            <img class="img-c" alt="" src="../../assets/images/0023-2.jpg" />
            <p class="img" style="font-size: 14px">图1-5</p>
@@ -858,7 +856,6 @@
              </p>
            </li>
          </ul>

          <div class="bk-hzjl">
            <div class="bj1-hzjl">
              <p class="left">

 src/books/mathBook/view/components/chapter002.vue

@@ -866,7 +866,7 @@
            <p>第二单元 不等式</p>
          </li>
          <li>
            <p><span>039</span></p>
            <p><span>039-041</span></p>
          </li>
        </ul>
        <div class="padding-116">
@@ -1042,18 +1042,6 @@
            <p>={<i>x</i>|-5＜<i>x</i>≤-3}∪{<i>x</i>|3≤<i>x</i>＜6}</p>
            <p>=（-5，-3］∪［3，6）.</p>
          </div>
        </div>
      </div>
    </div>
    <!-- 040 -->
    <div class="page-box" page="47">
      <div v-if="showPageList.indexOf(47) > -1">
        <ul class="page-header-odd fl al-end">
          <li>040-041</li>
          <li>数学.基础模块</li>
          <li>上册</li>
        </ul>
        <div class="padding-116">
          <p class="left">
            <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
          </p>
@@ -1087,6 +1075,9 @@
          </p>
        </div>
      </div>
    </div>
    <!-- 040 -->
    <div class="page-box hidePage" page="47">
    </div>
    <!-- 041 -->
    <div class="page-box hidePage" page="48">
@@ -1248,41 +1239,6 @@
              </svg>
            </span>
          </p>
          <p class="p-btn">
            （2）
            指出该函数图像上纵坐标分别为y=0，y＞0，y＜0的所有点；
            <span class="btn-box" @click="isShowAnswer10 = !isShowAnswer10">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <p class="p-btn">
            （3）
            根据函数图像写出y=0，y＞0，y＜0时所对应的x的值或取值范围.
            <span class="btn-box" @click="isShowAnswer11 = !isShowAnswer11">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <iframe src="https://www.geogebra.org/calculator" frameborder="0" class="iframe-box"></iframe>
        </div>
      </div>
    </div>
    <!-- 044 -->
    <div class="page-box" page="51">
      <div v-if="showPageList.indexOf(51) > -1">
        <ul class="page-header-odd fl al-end">
          <li>044</li>
          <li>数学.基础模块</li>
          <li>上册</li>
        </ul>
        <div class="padding-116">
          <div v-if="isShowAnswer9">
            <p class="center"><img class="img-c" alt="" src="../../assets/images/0055-1.jpg" /></p>
            <p class="img">图2-3</p>
@@ -1350,12 +1306,36 @@
              根据以上信息，就可以画出函数<i>y</i>=<i>x</i><sup>2</sup>-2<i>x</i>-3的图像（如图2-3所示）.
            </p>
          </div>
          <p class="p-btn">
            （2）
            指出该函数图像上纵坐标分别为y=0，y＞0，y＜0的所有点；
            <span class="btn-box" @click="isShowAnswer10 = !isShowAnswer10">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <p v-if="isShowAnswer10">
            <span class="zt-ls"><b>解</b></span>
            （2）
            观察图像可知，满足<i>y</i>=0的点是抛物线与<i>x</i>轴的交点；满足<i>y</i>＞0的点是抛物线在<i>x</i>轴上方的所有点；满足<i>y</i>＜0的点是抛物线在<i>x</i>轴下方的所有点.
          </p>
          <p class="p-btn">
            （3）
            根据函数图像写出y=0，y＞0，y＜0时所对应的x的值或取值范围.
            <span class="btn-box" @click="isShowAnswer11 = !isShowAnswer11">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer11">
            <p>
              <span class="zt-ls"><b>解</b></span>
              （3）
              观察图像可知，当<i>y</i>=0时，对应抛物线与<i>x</i>轴的两个交点，此时<i>x</i>有两个取值，<i>x</i><sub>1</sub>=-1，<i>x</i><sub>2</sub>=3；
            </p>
@@ -1366,6 +1346,19 @@
              当<i>y</i>＜0时，对应抛物线在<i>x</i>轴下方的所有点，此时<i>x</i>的取值范围是-1＜<i>x</i>＜3.
            </p>
          </div>
          <iframe src="https://www.geogebra.org/calculator" frameborder="0" class="iframe-box"></iframe>
        </div>
      </div>
    </div>
    <!-- 044 -->
    <div class="page-box" page="51">
      <div v-if="showPageList.indexOf(51) > -1">
        <ul class="page-header-odd fl al-end">
          <li>044</li>
          <li>数学.基础模块</li>
          <li>上册</li>
        </ul>
        <div class="padding-116">
          <div class="bk-hzjl">
            <div class="bj1-hzjl">
              <p class="left">
@@ -1943,17 +1936,6 @@
              </svg>
            </span>
          </p>
          <p class="p-btn" >
            <span>（2） <i>x</i><sup>2</sup>-2<i>x</i>+3＞0.</span>
            <span class="btn-box" @click="isShowAnswer13 = !isShowAnswer13">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <iframe src="https://www.geogebra.org/calculator" frameborder="0" class="iframe-box"></iframe>
          <div v-if="isShowAnswer12" >
            <p class="center"><img class="img-c" alt="" src="../../assets/images/0057-1.jpg" /></p>
            <p class="img">图2-5</p>
@@ -1965,10 +1947,21 @@
              函数<i>y</i>=-<i>x</i><sup>2</sup>+3<i>x</i>+4的图像是开口向下的抛物线，与<i>x</i>轴的交点坐标是（-1，0），（4，0），函数<i>y</i>=-<i>x</i><sup>2</sup>+3<i>x</i>+4的图像如图2-5所示.
            </p>
          </div>
          <p class="p-btn" >
            <span>（2） <i>x</i><sup>2</sup>-2<i>x</i>+3＞0.</span>
            <span class="btn-box" @click="isShowAnswer13 = !isShowAnswer13">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer13" >
            <p class="center"><img class="img-c" alt="" src="../../assets/images/0057-2.jpg" /></p>
            <p class="img">图2-6</p>
            <p>
              <span class="zt-ls"><b>解</b></span>
              观察图像可得，不等式-<i>x</i><sup>2</sup>+3<i>x</i>+4＜0的解集是（-∞，
              -1）∪（4， +∞）.
            </p>
@@ -1983,6 +1976,7 @@
              观察图像可得，不等式<i>x</i><sup>2</sup>-2<i>x</i>+3＞0的解集为<b>R</b>.
            </p>
          </div>
          <iframe src="https://www.geogebra.org/calculator" frameborder="0" class="iframe-box"></iframe>
          <div class="bk">
            <div class="bj1">
              <p class="left">
@@ -2216,6 +2210,12 @@
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer14" >
            <p >
              <span class="zt-ls"><b>解</b></span>（1）（<i>x</i>+3）（<i>x</i>+1）＜0，即［<i>x</i>-（-3）］［<i>x</i>-（-1）］＜0.
            </p>
            <p >所以不等式的解集为（-3，-1）.</p>
          </div>
          <p class="p-btn" >
            <span>（2）（6-<i>x</i>）（<i>x</i>+4）≤0.</span>
            <span class="btn-box" @click="isShowAnswer15 = !isShowAnswer15">
@@ -2226,12 +2226,6 @@
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer14" >
            <p >
              <span class="zt-ls"><b>解</b></span>（1）（<i>x</i>+3）（<i>x</i>+1）＜0，即［<i>x</i>-（-3）］［<i>x</i>-（-1）］＜0.
            </p>
            <p >所以不等式的解集为（-3，-1）.</p>
          </div>
          <div v-if="isShowAnswer15" >
            <p>
              <span class="zt-ls"><b>解</b></span>
@@ -2263,16 +2257,6 @@
              </svg>
            </span>
          </p>
          <p class="p-btn" >
            <span>（2）（2<i>x</i>-3）<sup>2</sup>＜9.</span>
            <span class="btn-box" @click="isShowAnswer17 = !isShowAnswer17">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer16" >
            <p>
              <span class="zt-ls"><b>解</b></span>（1）
@@ -2283,6 +2267,16 @@
            <p>即　　　［<i>x</i>-（-3）］（<i>x</i>-1）≥0，</p>
            <p>所以不等式的解集为（-∞，-3］∪［1，+∞）.</p>
          </div>
          <p class="p-btn" >
            <span>（2）（2<i>x</i>-3）<sup>2</sup>＜9.</span>
            <span class="btn-box" @click="isShowAnswer17 = !isShowAnswer17">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer17" >
            <p>
              <span class="zt-ls"><b>解</b></span>

 src/books/mathBook/view/components/chapter003.vue

@@ -351,6 +351,38 @@
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer5" >
            <p><span class="zt-ls"><b>解</b></span>（1） 要使该函数有意义，必须满足</p>
            <p class="center">4<i>x</i>+7≠0，</p>
            <p>解得</p>
            <math display="block">
              <mi>x</mi>
              <mo>≠</mo>
              <mo>−</mo>
              <mfrac>
                <mn>7</mn>
                <mn>4</mn>
              </mfrac>
              <mo>.</mo>
            </math>
            <p>所以函数<i>f</i>（<i>x</i>）的定义域是<math display="0">
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">{</mo>
                  <mi>x</mi>
                  <mrow>
                    <mo stretchy="false">|</mo>
                  </mrow>
                  <mi>x</mi>
                  <mo>≠</mo>
                  <mo>−</mo>
                  <mfrac>
                    <mn>7</mn>
                    <mn>4</mn>
                  </mfrac>
                  <mo data-mjx-texclass="CLOSE">}</mo>
                </mrow>
              </math>.</p>
          </div>
          <p class="p-btn">
            <span>
              （2）<math display="0">
@@ -376,6 +408,12 @@
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer6" >
            <p> <span class="zt-ls"><b>解</b></span>（2） 要使该函数有意义，必须满足</p>
            <p class="center"><i>x</i>-3≥0，</p>
            <p>解得　<i>x</i>≥3.</p>
            <p>所以函数<i>f</i>（<i>x</i>）的定义域是{<i>x</i>|<i>x</i>≥3}.</p>
          </div>
          <p class="p-btn" >
            <span>
              （3） <math display="0">
@@ -411,46 +449,8 @@
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer5" >
            <p><span class="zt-ls"><b>解</b></span>（1） 要使该函数有意义，必须满足</p>
            <p class="center">4<i>x</i>+7≠0，</p>
            <p>解得</p>
            <math display="block">
              <mi>x</mi>
              <mo>≠</mo>
              <mo>−</mo>
              <mfrac>
                <mn>7</mn>
                <mn>4</mn>
              </mfrac>
              <mo>.</mo>
            </math>
            <p>所以函数<i>f</i>（<i>x</i>）的定义域是<math display="0">
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">{</mo>
                  <mi>x</mi>
                  <mrow>
                    <mo stretchy="false">|</mo>
                  </mrow>
                  <mi>x</mi>
                  <mo>≠</mo>
                  <mo>−</mo>
                  <mfrac>
                    <mn>7</mn>
                    <mn>4</mn>
                  </mfrac>
                  <mo data-mjx-texclass="CLOSE">}</mo>
                </mrow>
              </math>.</p>
          </div>
          <div v-if="isShowAnswer6" >
            <p>（2） 要使该函数有意义，必须满足</p>
            <p class="center"><i>x</i>-3≥0，</p>
            <p>解得　<i>x</i>≥3.</p>
            <p>所以函数<i>f</i>（<i>x</i>）的定义域是{<i>x</i>|<i>x</i>≥3}.</p>
          </div>
          <div v-if="isShowAnswer7" >
            <p>（3） 要使该函数有意义，必须满足</p>
            <p> <span class="zt-ls"><b>解</b></span>（3） 要使该函数有意义，必须满足</p>
            <math display="block">
              <mrow data-mjx-texclass="INNER">
                <mo data-mjx-texclass="OPEN">{</mo>
@@ -643,16 +643,6 @@
              </svg>
            </span>
          </p>
          <p class="p-btn" >
            <span>（2） 用图像法表示函数<i>s</i>=<i>f</i>（<i>t</i>）.</span>
            <span class="btn-box" @click="isShowAnswer12 = !isShowAnswer12">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer11" > 
            <p><span class="zt-ls"><b>解</b></span>（1） 因为该军舰从出发地驶入海港需要用时<math display="0">
                <mfrac>
@@ -670,7 +660,21 @@
            <p>所以，用解析法可将函数<i>s</i>=<i>f</i>（<i>t</i>）表示为</p>
            <p class="center"><i>s</i>=-45<i>t</i>+135，0≤<i>t</i>≤3.</p>
          </div>

          <p class="p-btn" >
            <span>（2） 用图像法表示函数<i>s</i>=<i>f</i>（<i>t</i>）.</span>
            <span class="btn-box" @click="isShowAnswer12 = !isShowAnswer12">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer12" >
            <p> <span class="zt-ls"><b>解</b></span>（2） 函数<i>s</i>=<i>f</i>（<i>t</i>）是一次函数，用图像法可将函数表示为图3-5.</p>
            <p class="center"><img class="img-c" alt="" src="../../assets/images/0088-3.jpg" /></p>
            <p class="img">图3-5</p>
          </div>
        </div>
      </div>
    </div>
@@ -683,11 +687,6 @@
          <li>上册</li>
        </ul>
        <div class="padding-116">
          <div v-if="isShowAnswer12" >
            <p>（2） 函数<i>s</i>=<i>f</i>（<i>t</i>）是一次函数，用图像法可将函数表示为图3-5.</p>
            <p class="center"><img class="img-c" alt="" src="../../assets/images/0088-3.jpg" /></p>
            <p class="img">图3-5</p>
          </div>
          <div class="bk-hzjl">
            <div class="bj1-hzjl">
              <p class="left"><img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" /></p>
@@ -901,6 +900,10 @@
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer13" >
            <p><span class="zt-ls"><b>解</b></span>（1） 因为-5＜0，所以<i>f</i>（-5）=-5+2=-3.</p>
            <p>因为4＞0，所以 <i>f</i>（4）=4<sup>2</sup>-3=13.</p>
          </div>
        </div>
      </div>
    </div>
@@ -923,6 +926,10 @@
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer14">
            <p>  <span class="zt-ls"><b>解</b></span>（2） 因为-1＜0，所以<i>f</i>（-1）=-1+2=1.</p>
            <p>又因为1＞0，所以<i>f</i>（<i>f</i>（-1））=<i>f</i>（1）=1<sup>2</sup>-3=-2.</p>
          </div>
          <div class="bk">
            <div class="bj1">
              <p class="left"><img class="img-gn1" alt="" src="../../assets/images/tbts.jpg" /></p>
@@ -930,14 +937,6 @@
            <p class="block">
              分段函数是一个函数，不能把它看成几个函数，只是在同一个函数的定义域内，不同的取值范围内对应不同的函数关系.它的定义域是各个解析式的自变量取值集合的并集，值域也是各个解析式的函数值集合的并集.它的图像也比较特殊，有时图像是不连续的.
            </p>
          </div>
          <div v-if="isShowAnswer13" >
            <p><span class="zt-ls"><b>解</b></span>（1） 因为-5＜0，所以<i>f</i>（-5）=-5+2=-3.</p>
            <p>因为4＞0，所以 <i>f</i>（4）=4<sup>2</sup>-3=13.</p>
          </div>
          <div v-if="isShowAnswer14">
            <p>（2） 因为-1＜0，所以<i>f</i>（-1）=-1+2=1.</p>
            <p>又因为1＞0，所以<i>f</i>（<i>f</i>（-1））=<i>f</i>（1）=1<sup>2</sup>-3=-2.</p>
          </div>
          <p>
            <span
@@ -955,26 +954,6 @@
          <p class="p-btn" >
            <span>（1） 用解析法表示<i>y</i>与<i>x</i>的函数关系，并画出函数的图像.</span>
            <span class="btn-box" @click="isShowAnswer15 = !isShowAnswer15">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <p class="p-btn" >
            <span>（2） 如果李某家10月的用电量是180 kW·h ，那么他家应该支付电费多少？</span>
            <span class="btn-box" @click="isShowAnswer16 = !isShowAnswer16">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <p class="p-btn" >
            <span>（3） 如果周某家12月支付电费294.26元，那么他家这个月的用电量是多少？</span>
            <span class="btn-box" @click="isShowAnswer17 = !isShowAnswer17">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
@@ -1053,6 +1032,36 @@
            <p class="img">图3-7</p>
            <p>这个函数的图像如图3-7所示.</p>
          </div>
          <p class="p-btn" >
            <span>（2） 如果李某家10月的用电量是180 kW·h ，那么他家应该支付电费多少？</span>
            <span class="btn-box" @click="isShowAnswer16 = !isShowAnswer16">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer16" >
            <p> <span class="zt-ls"><b>解</b></span>（2） 因为<i>x</i>=180＜200，<i>y</i>=0.52×180=93.60（元）.</p>
            <p>所以，李某家10月应该支付电费93.60元.</p>
          </div>
          <p class="p-btn" >
            <span>（3） 如果周某家12月支付电费294.26元，那么他家这个月的用电量是多少？</span>
            <span class="btn-box" @click="isShowAnswer17 = !isShowAnswer17">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer17" >
            <p> <span class="zt-ls"><b>解</b></span>（3） 周某家电费是294.26元，由图3-7可估得<i>x</i>＞400，因此</p>
            <p class="center">0.82<i>x</i>-110=294.26，</p>
            <p>解得<i>x</i>=493.</p>
            <p>所以，周某家12月的用电量为493 kW·h .</p>
          </div>
        </div>
      </div>
    </div>
@@ -1068,16 +1077,7 @@
          </li>
        </ul>
        <div class="padding-116">
          <div v-if="isShowAnswer16" >
            <p>（2） 因为<i>x</i>=180＜200，<i>y</i>=0.52×180=93.60（元）.</p>
            <p>所以，李某家10月应该支付电费93.60元.</p>
          </div>
          <div v-if="isShowAnswer17" >
            <p>（3） 周某家电费是294.26元，由图3-7可估得<i>x</i>＞400，因此</p>
            <p class="center">0.82<i>x</i>-110=294.26，</p>
            <p>解得<i>x</i>=493.</p>
            <p>所以，周某家12月的用电量为493 kW·h .</p>
          </div>

          <div class="bk-hzjl">
            <div class="bj1-hzjl">
              <p class="left"><img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" /></p>
@@ -1196,6 +1196,7 @@
              </svg>
            </span>
          </p>
          <p v-if="isShowAnswer18" ><span class="zt-ls"><b>解</b></span>（1） 由图可知，当<i>x</i>=2时，函数值最大，最大值是3；当<i>x</i>=6时，函数值最小，最小值是-3.</p>
          <p class="p-btn" >
            <span>（2） 说明该函数的单调区间及在每一个区间上的单调性.</span>
            <span class="btn-box" @click="isShowAnswer19 = !isShowAnswer19">
@@ -1208,8 +1209,9 @@
          </p>
          <p class="center"><img class="img-c" alt="" src="../../assets/images/0097-3.jpg" /></p>
          <p class="img">图3-11</p>
          <p v-if="isShowAnswer18" ><span class="zt-ls"><b>解</b></span>（1） 由图可知，当<i>x</i>=2时，函数值最大，最大值是3；当<i>x</i>=6时，函数值最小，最小值是-3.</p>
          <p v-if="isShowAnswer19" >（2）
          <p v-if="isShowAnswer19" >
            <span class="zt-ls"><b>解</b></span>
            （2）
            函数<i>y</i>=<i>f</i>（<i>x</i>）的单调区间有［-1，2］，［2，6］，［6，8］.函数<i>y</i>=<i>f</i>（<i>x</i>）在区间［-1，2］和［6，8］上都是增函数，在区间［2，6］上是减函数.
          </p>
        </div>
@@ -1241,32 +1243,6 @@
              </svg>
            </span>
          </p>
          <p class="p-btn" >
            <span>（2） 找出函数<i>f</i>（<i>x</i>）的单调区间；</span>
            <span class="btn-box" @click="isShowAnswer21 = !isShowAnswer21">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <p class="p-btn" >
            <span>（3） 当<i>x</i>∈［2，5］时，求函数<i>f</i>（<i>x</i>）的最大值和最小值.</span>
            <span class="btn-box" @click="isShowAnswer22 = !isShowAnswer22">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div class="bk">
            <div class="bj1">
              <p class="left"><img class="img-gn1" alt="" src="../../assets/images/tbts.jpg" /></p>
            </div>
            <p class="block">函数的单调性是对定义域内某个区间而言的.一个函数在其定义域上不一定具有单调性，但是在定义域内的子区间上可能具有单调性，这就是函数单调性的局部性质.</p>
          </div>
          <div v-if="isShowAnswer20" >
            <p><span class="zt-ls"><b>解</b></span>（1） 二次函数<i>y</i>=<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>的对称轴方程是<math
                display="0">
@@ -1398,11 +1374,37 @@
            </math>
            <p>因此，函数<i>f</i>（<i>x</i>）的对称轴方程是<i>x</i>=1，顶点坐标是（1，4）.</p>
          </div>
          <p v-if="isShowAnswer21" >（2） 由图像可知，函数<i>f</i>（<i>x</i>）的增区间是（-∞，1］，减区间是［1，+∞）.</p>
          <p class="p-btn" >
            <span>（2） 找出函数<i>f</i>（<i>x</i>）的单调区间；</span>
            <span class="btn-box" @click="isShowAnswer21 = !isShowAnswer21">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <p v-if="isShowAnswer21" > <span class="zt-ls"><b>解</b></span>（2） 由图像可知，函数<i>f</i>（<i>x</i>）的增区间是（-∞，1］，减区间是［1，+∞）.</p>
          <p class="p-btn" >
            <span>（3） 当<i>x</i>∈［2，5］时，求函数<i>f</i>（<i>x</i>）的最大值和最小值.</span>
            <span class="btn-box" @click="isShowAnswer22 = !isShowAnswer22">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer22" >
            <p>（3） 因为［2，5］⫋［1，+∞），且函数在区间［1，+∞）上是减函数，所以当<i>x</i>∈［2，5］时，</p>
            <p> <span class="zt-ls"><b>解</b></span>（3） 因为［2，5］⫋［1，+∞），且函数在区间［1，+∞）上是减函数，所以当<i>x</i>∈［2，5］时，</p>
            <p>函数<i>f</i>（<i>x</i>）的最大值是<i>f</i>（2）=-2<sup>2</sup>+2×2+3=3，</p>
            <p>函数<i>f</i>（<i>x</i>）的最小值是<i>f</i>（5）=-5<sup>2</sup>+2×5+3=-12.</p>
          </div>
          <div class="bk">
            <div class="bj1">
              <p class="left"><img class="img-gn1" alt="" src="../../assets/images/tbts.jpg" /></p>
            </div>
            <p class="block">函数的单调性是对定义域内某个区间而言的.一个函数在其定义域上不一定具有单调性，但是在定义域内的子区间上可能具有单调性，这就是函数单调性的局部性质.</p>
          </div>
          <p class="p-btn" >
            <span>
@@ -1416,7 +1418,6 @@
              </svg>
            </span>
          </p>
          <iframe src="https://www.geogebra.org/calculator" frameborder="0" class="iframe-box"></iframe>
          <div v-if="isShowAnswer23" >
            <p><span class="zt-ls"><b>解</b></span>
              任取<i>x</i><sub>1</sub>，<i>x</i><sub>2</sub>∈（-∞，+∞），且<i>x</i><sub>1</sub>＜<i>x</i><sub>2</sub>，那么</p>
@@ -1435,6 +1436,7 @@
            <p class="center"><img class="img-b" alt="" src="../../assets/images/0098-5.jpg" /></p>
            <p class="img">图3-13</p>
          </div>
          <iframe src="https://www.geogebra.org/calculator" frameborder="0" class="iframe-box"></iframe>
        </div>
      </div>
    </div>
@@ -1943,6 +1945,15 @@
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer26" >
            <p><span class="zt-ls"><b>解</b></span>（1）
              函数<i>f</i>（<i>x</i>）=<i>x</i><sup>3</sup>+<i>x</i>的定义域是<b>R</b>，对任意<i>x</i>∈<b>R</b>，都有-<i>x</i>∈<b>R</b>，且
            </p>
            <p class="center">
              <i>f</i>（-<i>x</i>）=（-<i>x</i>）<sup>3</sup>+（-<i>x</i>）=-<i>x</i><sup>3</sup>-<i>x</i>=-（<i>x</i><sup>3</sup>+<i>x</i>）=-<i>f</i>（<i>x</i>）.
            </p>
            <p>所以，函数<i>f</i>（<i>x</i>）=<i>x</i><sup>3</sup>+<i>x</i>是奇函数.</p>
          </div>
          <p class="p-btn" >
            <span>
              （2） <math display="0">
@@ -1969,27 +1980,9 @@
              </svg>
            </span>
          </p>
          <p class="p-btn" >
            <span>（3） <i>f</i>（<i>x</i>）=<i>x</i>+|<i>x</i>|.</span>
            <span class="btn-box" @click="isShowAnswer28 = !isShowAnswer28">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer26" >
            <p><span class="zt-ls"><b>解</b></span>（1）
              函数<i>f</i>（<i>x</i>）=<i>x</i><sup>3</sup>+<i>x</i>的定义域是<b>R</b>，对任意<i>x</i>∈<b>R</b>，都有-<i>x</i>∈<b>R</b>，且
            </p>
            <p class="center">
              <i>f</i>（-<i>x</i>）=（-<i>x</i>）<sup>3</sup>+（-<i>x</i>）=-<i>x</i><sup>3</sup>-<i>x</i>=-（<i>x</i><sup>3</sup>+<i>x</i>）=-<i>f</i>（<i>x</i>）.
            </p>
            <p>所以，函数<i>f</i>（<i>x</i>）=<i>x</i><sup>3</sup>+<i>x</i>是奇函数.</p>
          </div>
          <div v-if="isShowAnswer27" >
            <p>（2）
            <p>
              <span class="zt-ls"><b>解</b></span>（2）
              要使函数<i>f</i>（<i>x</i>）有意义，必须满足<i>x</i>≠0，所以函数<i>f</i>（<i>x</i>）的定义域是<i>D</i>={<i>x</i>|<i>x</i>≠0}，对任意<i>x</i>∈<i>D</i>，都有-<i>x</i>∈<i>D</i>，且
            </p>
            <math display="block">
@@ -2051,8 +2044,18 @@
              </math>是奇函数.
            </p>
          </div>
          <p class="p-btn" >
            <span>（3） <i>f</i>（<i>x</i>）=<i>x</i>+|<i>x</i>|.</span>
            <span class="btn-box" @click="isShowAnswer28 = !isShowAnswer28">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer28"  >
            <p >（3） 函数<i>f</i>（<i>x</i>）=<i>x</i>+|<i>x</i>|的定义域是<b>R</b>，对任意<i>x</i>∈<b>R</b>，都有-<i>x</i>∈<b>R</b>，但是</p>
            <p > <span class="zt-ls"><b>解</b></span>（3） 函数<i>f</i>（<i>x</i>）=<i>x</i>+|<i>x</i>|的定义域是<b>R</b>，对任意<i>x</i>∈<b>R</b>，都有-<i>x</i>∈<b>R</b>，但是</p>
            <p class="center">
              <i>f</i>（-<i>x</i>）=（-<i>x</i>）+|-<i>x</i>|=-<i>x</i>+|<i>x</i>|=-（<i>x</i>-|<i>x</i>|）≠-<i>f</i>（<i>x</i>）.
            </p>
@@ -2091,6 +2094,13 @@
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer29" >
            <p><span class="zt-ls"><b>解</b></span>（1）
              <i>f</i>（<i>x</i>）的定义域是<b>R</b>，对任意<i>x</i>∈<b>R</b>，都有-<i>x</i>∈<b>R</b>，且
            </p>
            <p class="center"><i>f</i>（-<i>x</i>）=（-<i>x</i>）<sup>4</sup>=<i>x</i><sup>4</sup>=<i>f</i>（<i>x</i>），</p>
            <p>所以，函数<i>f</i>（<i>x</i>）=<i>x</i><sup>4</sup>是偶函数.</p>
          </div>
          <p class="p-btn">
            <span>
              （2） <math display="0">
@@ -2118,55 +2128,9 @@
              </svg>
            </span>
          </p>
          <p class="p-btn">
            <span>
              （3） <i>f</i>（<i>x</i>）=<i>x</i><sup>2</sup>+<i>x</i>；
            </span>
            <span class="btn-box" @click="isShowAnswer31 = !isShowAnswer31">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <p class="p-btn" >
            <span>
              （4）<math display="0">
                <mi>f</mi>
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">(</mo>
                  <mi>x</mi>
                  <mo data-mjx-texclass="CLOSE">)</mo>
                </mrow>
                <mo>=</mo>
                <mfrac>
                  <mn>1</mn>
                  <mrow>
                    <mi>x</mi>
                    <mo>−</mo>
                    <mn>1</mn>
                  </mrow>
                </mfrac>
              </math>.
            </span>
            <span class="btn-box" @click="isShowAnswer32 = !isShowAnswer32">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer29" >
            <p><span class="zt-ls"><b>解</b></span>（1）
              <i>f</i>（<i>x</i>）的定义域是<b>R</b>，对任意<i>x</i>∈<b>R</b>，都有-<i>x</i>∈<b>R</b>，且
            </p>
            <p class="center"><i>f</i>（-<i>x</i>）=（-<i>x</i>）<sup>4</sup>=<i>x</i><sup>4</sup>=<i>f</i>（<i>x</i>），</p>
            <p>所以，函数<i>f</i>（<i>x</i>）=<i>x</i><sup>4</sup>是偶函数.</p>
          </div>
          <div v-if="isShowAnswer30" >
            <p>（2）
            <p>
              <span class="zt-ls"><b>解</b></span>（2）
              要使函数<i>f</i>（<i>x</i>）有意义，必须满足<i>x</i>≠0，所以函数<i>f</i>（<i>x</i>）的定义域是<i>D</i>={<i>x</i>|<i>x</i>≠0}，对任意<i>x</i>∈<i>D</i>，都有-<i>x</i>∈<i>D</i>，
              且</p>
            <math display="block">
@@ -2230,18 +2194,57 @@
                </mfrac>
              </math>是奇函数.
            </p>

          </div>
          <p class="p-btn">
            <span>
              （3） <i>f</i>（<i>x</i>）=<i>x</i><sup>2</sup>+<i>x</i>；
            </span>
            <span class="btn-box" @click="isShowAnswer31 = !isShowAnswer31">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer31" >
            <p>（3）
            <p> <span class="zt-ls"><b>解</b></span>（3）
              函数<i>f</i>（<i>x</i>）=<i>x</i><sup>2</sup>+<i>x</i>的定义域是<b>R</b>，对任意<i>x</i>∈<b>R</b>，都有-<i>x</i>∈<b>R</b>，且
            </p>
            <p class="center"><i>f</i>（-<i>x</i>）=（-<i>x</i>）<sup>2</sup>+（-<i>x</i>）=<i>x</i><sup>2</sup>-<i>x</i>，</p>
            <p>但　<i>f</i>（-<i>x</i>）≠<i>f</i>（<i>x</i>），且<i>f</i>（-<i>x</i>）≠-<i>f</i>（<i>x</i>），</p>
            <p>所以，函数<i>f</i>（<i>x</i>）=<i>x</i><sup>2</sup>+<i>x</i>既不是奇函数，也不是偶函数.</p>
          </div>
          <p class="p-btn" >
            <span>
              （4）<math display="0">
                <mi>f</mi>
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">(</mo>
                  <mi>x</mi>
                  <mo data-mjx-texclass="CLOSE">)</mo>
                </mrow>
                <mo>=</mo>
                <mfrac>
                  <mn>1</mn>
                  <mrow>
                    <mi>x</mi>
                    <mo>−</mo>
                    <mn>1</mn>
                  </mrow>
                </mfrac>
              </math>.
            </span>
            <span class="btn-box" @click="isShowAnswer32 = !isShowAnswer32">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer32" >
            <p>（4）
            <p> <span class="zt-ls"><b>解</b></span>（4）
              要使函数<i>f</i>（<i>x</i>）有意义，必须满足<i>x</i>-1≠0，所以函数<i>f</i>（<i>x</i>）的定义域是<i>D</i>={<i>x</i>|<i>x</i>≠1}，对任意<i>x</i>∈<i>D</i>，不都有-<i>x</i>∈<i>D</i>成立.
            </p>
            <p>所以，函数<math display="0">
@@ -2357,27 +2360,6 @@
              </svg>
            </span>
          </p>
          <p class="p-btn" >
            <span>（2） 画出函数<i>y</i>=<i>f</i>（<i>x</i>）的图像；</span>
            <span class="btn-box" @click="isShowAnswer34 = !isShowAnswer34">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <iframe src="https://www.geogebra.org/calculator" frameborder="0" class="iframe-box"></iframe>
          <p class="p-btn" >
            <span>（3） 小李在返回A城途中，15：00刚好接到家人的电话，这时他距离A城多少千米？</span>
            <span class="btn-box" @click="isShowAnswer35 = !isShowAnswer35">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer33" >
            <p><span class="zt-ls"><b>解</b></span>（1） 小李从A城出发到B 城用时<math display="0">
                <mfrac>
@@ -2462,13 +2444,34 @@
              </math>.
            </p>
          </div>
          <p class="p-btn" >
            <span>（2） 画出函数<i>y</i>=<i>f</i>（<i>x</i>）的图像；</span>
            <span class="btn-box" @click="isShowAnswer34 = !isShowAnswer34">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer34">
            <p>（2） 函数<i>y</i>=<i>f</i>（<i>x</i>）的图像如图3-24所示.</p>
            <p> <span class="zt-ls"><b>解</b></span>（2） 函数<i>y</i>=<i>f</i>（<i>x</i>）的图像如图3-24所示.</p>
            <p class="center"><img class="img-f" alt="" src="../../assets/images/0111-4.jpg" /></p>
            <p class="img">图3-24</p>
          </div>
          <iframe src="https://www.geogebra.org/calculator" frameborder="0" class="iframe-box"></iframe>
          <p class="p-btn" >
            <span>（3） 小李在返回A城途中，15：00刚好接到家人的电话，这时他距离A城多少千米？</span>
            <span class="btn-box" @click="isShowAnswer35 = !isShowAnswer35">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer35" >
            <p>（3） 小李从早晨8：00出发到15：00，共经过了7h，所以<i>x</i>=7，由（1） 中解析式得小李与<i>A</i>城的距离为</p>
            <p> <span class="zt-ls"><b>解</b></span>（3） 小李从早晨8：00出发到15：00，共经过了7h，所以<i>x</i>=7，由（1） 中解析式得小李与<i>A</i>城的距离为</p>
            <p class="center">-100×7+750=50（km）.</p>
            <p>所以，小李返回A城途中接到家人电话时，距离A城刚好50 km.</p>
          </div>
@@ -2572,30 +2575,6 @@
              </svg>
            </span>
          </p>
          <p class="p-btn">
            <span>
            （2） 该批发商不低于购入价进行销售，设该批发商每月销售这批绿色食品可获得利润为<i>w</i>元，用解析法表示函数<i>w</i>=<i>g</i>（<i>x</i>）；
            </span>
            <span class="btn-box" @click="isShowAnswer39 = !isShowAnswer39">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <p class="p-btn">
            <span>
            （3） 当销售单价为多少时，该批发商每月可获得最大利润？最大利润是多少？
            </span>
            <span class="btn-box" @click="isShowAnswer40 = !isShowAnswer40">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer38" > 
            <p><span class="zt-ls"><b>解</b></span>（1） 设函数<i>y</i>=<i>f</i>（<i>x</i>）的解析式是<i>y</i>=<i>kx</i>+<i>b</i>，则</p>
            <p><math display="0">
@@ -2660,15 +2639,39 @@
            <p>所以，函数<i>y</i>=<i>f</i>（<i>x</i>）的解析式可表示为</p>
            <p class="center"><i>y</i>=-20<i>x</i>+1 200，30≤<i>x</i>≤60.</p>
          </div>
          <p class="p-btn">
            <span>
            （2） 该批发商不低于购入价进行销售，设该批发商每月销售这批绿色食品可获得利润为<i>w</i>元，用解析法表示函数<i>w</i>=<i>g</i>（<i>x</i>）；
            </span>
            <span class="btn-box" @click="isShowAnswer39 = !isShowAnswer39">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer39" > 
            <p>（2） 由题意得，<i>w</i>=（<i>x</i>-30）<i>y</i></p>
            <p> <span class="zt-ls"><b>解</b></span>（2） 由题意得，<i>w</i>=（<i>x</i>-30）<i>y</i></p>
            <p>　　　　　　　　=（<i>x</i>-30）（-20<i>x</i>+1 200）</p>
            <p>　　　　　　　　=-20<i>x</i><sup>2</sup>+1 800<i>x</i>-36 000，</p>
            <p>所以，函数<i>w</i>=<i>g</i>（<i>x</i>）的解析式可表示为</p>
            <p class="center"><i>w</i>=-20<i>x</i><sup>2</sup>+1 800<i>x</i>-36 000，30≤<i>x</i>≤60.</p>
          </div>
          <p class="p-btn">
            <span>
            （3） 当销售单价为多少时，该批发商每月可获得最大利润？最大利润是多少？
            </span>
            <span class="btn-box" @click="isShowAnswer40 = !isShowAnswer40">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer40" > 
            <p>（3） 由（2） 知，<i>w</i>=-20<i>x</i><sup>2</sup>+1 800<i>x</i>-36 000，30≤<i>x</i>≤60，配方得</p>
            <p> <span class="zt-ls"><b>解</b></span>（3） 由（2） 知，<i>w</i>=-20<i>x</i><sup>2</sup>+1 800<i>x</i>-36 000，30≤<i>x</i>≤60，配方得</p>
            <p class="center"><i>w</i>=-20（<i>x</i>-45）<sup>2</sup>+4 500.</p>
            <p>所以，当<i>x</i>=45时，<i>w</i>的值最大，最大值是4 500.</p>
            <p>答：当销售单价为45元时，该批发商每月可获得最大利润，最大利润是4 500元.</p>
@@ -2826,7 +2829,7 @@
    <!-- 112 -->
    <div class="page-box hidePage" page="119">
    </div>
        <!-- 函数控件弹窗 -->
    <!-- 函数控件弹窗 -->
    <el-dialog :visible.sync="dialogVisible" width="60%" :append-to-body="true" :show-close="false">
      <div slot="title" style="padding: 0 0 15px 0;position: relative;">
        <svg style="position: absolute; right:10px;cursor: pointer;" @click="dialogVisible = false" t="1718596022986"

 src/books/mathBook/view/components/chapter004.vue

@@ -357,6 +357,21 @@
              </svg>
            </span>
          </p>
          <p v-if="isShowAnswer0" >
            <span class="zt-ls"><b>解</b></span>（1）<math display="0">
              <mroot>
                <msup>
                  <mn>5</mn>
                  <mrow>
                    <mn>3</mn>
                  </mrow>
                </msup>
                <mn>3</mn>
              </mroot>
              <mo>=</mo>
              <mn>5</mn>
            </math>；
          </p>
          <p class="p-btn" >
            <span>
                （2）
@@ -385,6 +400,29 @@
              </svg>
            </span>
          </p>
          <p v-if="isShowAnswer1" >
            <span class="zt-ls"><b>解</b></span>
            （2）
            <math display="0">
              <mroot>
                <msup>
                  <mrow data-mjx-texclass="INNER">
                    <mo data-mjx-texclass="OPEN">(</mo>
                    <mo>−</mo>
                    <mn>5</mn>
                    <mo data-mjx-texclass="CLOSE">)</mo>
                  </mrow>
                  <mrow>
                    <mn>3</mn>
                  </mrow>
                </msup>
                <mn>3</mn>
              </mroot>
              <mo>=</mo>
              <mo>−</mo>
              <mn>5</mn>
            </math>；
          </p>
          <p class="p-btn" >
            <span>
              （3）
@@ -407,6 +445,27 @@
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <p v-if="isShowAnswer2" >
            <span class="zt-ls"><b>解</b></span>
            （3）
            <math display="0">
              <mroot>
                <msup>
                  <mrow data-mjx-texclass="INNER">
                    <mo data-mjx-texclass="OPEN">(</mo>
                    <mn>7</mn>
                    <mo data-mjx-texclass="CLOSE">)</mo>
                  </mrow>
                  <mrow>
                    <mn>4</mn>
                  </mrow>
                </msup>
                <mn>4</mn>
              </mroot>
              <mo>=</mo>
              <mn>7</mn>
            </math>；
          </p>
          <p class="p-btn" >
            <span>
@@ -436,74 +495,8 @@
              </svg>
            </span>
          </p>
          <p class="p-btn" >
            <span>（5） 81的4次方根.</span>
            <span class="btn-box" @click="isShowAnswer4 = !isShowAnswer4">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <p v-if="isShowAnswer0" >
            <span class="zt-ls"><b>解</b></span>（1）<math display="0">
              <mroot>
                <msup>
                  <mn>5</mn>
                  <mrow>
                    <mn>3</mn>
                  </mrow>
                </msup>
                <mn>3</mn>
              </mroot>
              <mo>=</mo>
              <mn>5</mn>
            </math>；
          </p>
          <p v-if="isShowAnswer1" >
            （2）
            <math display="0">
              <mroot>
                <msup>
                  <mrow data-mjx-texclass="INNER">
                    <mo data-mjx-texclass="OPEN">(</mo>
                    <mo>−</mo>
                    <mn>5</mn>
                    <mo data-mjx-texclass="CLOSE">)</mo>
                  </mrow>
                  <mrow>
                    <mn>3</mn>
                  </mrow>
                </msup>
                <mn>3</mn>
              </mroot>
              <mo>=</mo>
              <mo>−</mo>
              <mn>5</mn>
            </math>；
          </p>
          <p v-if="isShowAnswer2" >
            （3）
            <math display="0">
              <mroot>
                <msup>
                  <mrow data-mjx-texclass="INNER">
                    <mo data-mjx-texclass="OPEN">(</mo>
                    <mn>7</mn>
                    <mo data-mjx-texclass="CLOSE">)</mo>
                  </mrow>
                  <mrow>
                    <mn>4</mn>
                  </mrow>
                </msup>
                <mn>4</mn>
              </mroot>
              <mo>=</mo>
              <mn>7</mn>
            </math>；
          </p>
          <p v-if="isShowAnswer3" >
            <span class="zt-ls"><b>解</b></span>
            （4）
            <math display="0">
              <mroot>
@@ -531,7 +524,18 @@
              <mn>7</mn>
            </math>；
          </p>
          <p class="p-btn" >
            <span>（5） 81的4次方根.</span>
            <span class="btn-box" @click="isShowAnswer4 = !isShowAnswer4">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <p v-if="isShowAnswer4" >
            <span class="zt-ls"><b>解</b></span>
            （5） 因为（±3）<sup>4</sup>=81，所以81的4次方根是±3，即<math display="0">
              <mo>±</mo>
              <mroot>
@@ -575,6 +579,30 @@
              </svg>
            </span>
          </p>
          <p v-if="isShowAnswer5" >
            <span class="zt-ls"><b>解</b></span>（1）
            <math display="0">
              <mroot>
                <msup>
                  <mrow data-mjx-texclass="INNER">
                    <mo data-mjx-texclass="OPEN">(</mo>
                    <mn>3</mn>
                    <mo>−</mo>
                    <mi>a</mi>
                    <mo data-mjx-texclass="CLOSE">)</mo>
                  </mrow>
                  <mrow>
                    <mn>3</mn>
                  </mrow>
                </msup>
                <mn>3</mn>
              </mroot>
              <mo>=</mo>
              <mn>3</mn>
              <mo>−</mo>
              <mi>a</mi>
            </math>；
          </p>
          <p class="p-btn" >
            <span>
              （2）
@@ -606,31 +634,8 @@
              </svg>
            </span>
          </p>
          <p v-if="isShowAnswer5" >
            <span class="zt-ls"><b>解</b></span>（1）
            <math display="0">
              <mroot>
                <msup>
                  <mrow data-mjx-texclass="INNER">
                    <mo data-mjx-texclass="OPEN">(</mo>
                    <mn>3</mn>
                    <mo>−</mo>
                    <mi>a</mi>
                    <mo data-mjx-texclass="CLOSE">)</mo>
                  </mrow>
                  <mrow>
                    <mn>3</mn>
                  </mrow>
                </msup>
                <mn>3</mn>
              </mroot>
              <mo>=</mo>
              <mn>3</mn>
              <mo>−</mo>
              <mi>a</mi>
            </math>；
          </p>
          <p v-if="isShowAnswer6" >
            <span class="zt-ls"><b>解</b></span>
            （2）
            <math display="0">
              <mroot>
@@ -980,55 +985,6 @@
              </svg>
            </span>
          </p>
          <p class="p-btn" >
            <span>
              （2）
              <math display="0">
                <mroot>
                  <msup>
                    <mi>x</mi>
                    <mrow>
                      <mn>2</mn>
                    </mrow>
                  </msup>
                  <mn>6</mn>
                </mroot>
              </math>；
            </span>
            <span class="btn-box" @click="isShowAnswer8 = !isShowAnswer8">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <p class="p-btn" >
            <span>
              （3）
              <math display="0">
                <mfrac>
                  <mn>1</mn>
                  <mroot>
                    <msup>
                      <mn>5</mn>
                      <mrow>
                        <mn>3</mn>
                      </mrow>
                    </msup>
                    <mn>4</mn>
                  </mroot>
                </mfrac>
              </math>.
            </span>
            <span class="btn-box" @click="isShowAnswer9 = !isShowAnswer9">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <p v-if="isShowAnswer7" >
            <span class="zt-ls"><b>解</b></span>（1）
            <math display="0">
@@ -1053,8 +1009,31 @@
              </msup>
            </math>；
          </p>
          <p class="p-btn" >
            <span>
              （2）
              <math display="0">
                <mroot>
                  <msup>
                    <mi>x</mi>
                    <mrow>
                      <mn>2</mn>
                    </mrow>
                  </msup>
                  <mn>6</mn>
                </mroot>
              </math>；
            </span>
            <span class="btn-box" @click="isShowAnswer8 = !isShowAnswer8">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <p v-if="isShowAnswer8" >
            （2）
            <span class="zt-ls"><b>解</b></span>（2）
            <math display="0">
              <mroot>
                <msup>
@@ -1087,8 +1066,34 @@
              </msup>
            </math>）
          </p>
          <p class="p-btn" >
            <span>
              （3）
              <math display="0">
                <mfrac>
                  <mn>1</mn>
                  <mroot>
                    <msup>
                      <mn>5</mn>
                      <mrow>
                        <mn>3</mn>
                      </mrow>
                    </msup>
                    <mn>4</mn>
                  </mroot>
                </mfrac>
              </math>.
            </span>
            <span class="btn-box" @click="isShowAnswer9 = !isShowAnswer9">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <p v-if="isShowAnswer9" >
            （3）
            <span class="zt-ls"><b>解</b></span>（3）
            <math display="0">
              <mfrac>
                <mn>1</mn>
@@ -1154,6 +1159,46 @@
              </svg>
            </span>
          </p>
          <p v-if="isShowAnswer10" >
            <span class="zt-ls"><b>解</b></span>（1）<math display="0">
              <msup>
                <mn>27</mn>
                <mrow>
                  <mo>−</mo>
                  <mfrac>
                    <mn>1</mn>
                    <mn>3</mn>
                  </mfrac>
                </mrow>
              </msup>
              <mo>=</mo>
              <mfrac>
                <mn>1</mn>
                <msup>
                  <mn>27</mn>
                  <mrow>
                    <mfrac>
                      <mn>1</mn>
                      <mn>3</mn>
                    </mfrac>
                  </mrow>
                </msup>
              </mfrac>
              <mo>=</mo>
              <mfrac>
                <mn>1</mn>
                <mroot>
                  <mn>27</mn>
                  <mn>3</mn>
                </mroot>
              </mfrac>
              <mo>=</mo>
              <mfrac>
                <mn>1</mn>
                <mn>3</mn>
              </mfrac>
            </math>；
          </p>
          <p class="p-btn" >
            <span>
              （2）
@@ -1196,48 +1241,8 @@
              </svg>
            </span>
          </p>
          <p v-if="isShowAnswer10" >
            <span class="zt-ls"><b>解</b></span>（1）<math display="0">
              <msup>
                <mn>27</mn>
                <mrow>
                  <mo>−</mo>
                  <mfrac>
                    <mn>1</mn>
                    <mn>3</mn>
                  </mfrac>
                </mrow>
              </msup>
              <mo>=</mo>
              <mfrac>
                <mn>1</mn>
                <msup>
                  <mn>27</mn>
                  <mrow>
                    <mfrac>
                      <mn>1</mn>
                      <mn>3</mn>
                    </mfrac>
                  </mrow>
                </msup>
              </mfrac>
              <mo>=</mo>
              <mfrac>
                <mn>1</mn>
                <mroot>
                  <mn>27</mn>
                  <mn>3</mn>
                </mroot>
              </mfrac>
              <mo>=</mo>
              <mfrac>
                <mn>1</mn>
                <mn>3</mn>
              </mfrac>
            </math>；
          </p>
          <p v-if="isShowAnswer11" >
            （2）<math display="0">
            <span class="zt-ls"><b>解</b></span>（2）<math display="0">
              <msup>
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">(</mo>
@@ -1536,92 +1541,6 @@
              </svg>
            </span>
          </p>
          <p class="p-btn" >
            <span>
              （2）
              <math display="0">
                <msup>
                  <mrow data-mjx-texclass="INNER">
                    <mo data-mjx-texclass="OPEN">(</mo>
                    <msup>
                      <mi>a</mi>
                      <mrow>
                        <mo>−</mo>
                        <mn>3</mn>
                      </mrow>
                    </msup>
                    <msup>
                      <mi>b</mi>
                      <mrow>
                        <mn>5</mn>
                      </mrow>
                    </msup>
                    <mo data-mjx-texclass="CLOSE">)</mo>
                  </mrow>
                  <mrow>
                    <mfrac>
                      <mn>1</mn>
                      <mn>5</mn>
                    </mfrac>
                  </mrow>
                </msup>
                <mo>⋅</mo>
                <msup>
                  <mrow data-mjx-texclass="INNER">
                    <mo data-mjx-texclass="OPEN">(</mo>
                    <msup>
                      <mi>a</mi>
                      <mrow>
                        <mn>2</mn>
                      </mrow>
                    </msup>
                    <mo data-mjx-texclass="CLOSE">)</mo>
                  </mrow>
                  <mrow>
                    <mfrac>
                      <mn>1</mn>
                      <mn>5</mn>
                    </mfrac>
                  </mrow>
                </msup>
                <mo>÷</mo>
                <msup>
                  <mrow data-mjx-texclass="INNER">
                    <mo data-mjx-texclass="OPEN">(</mo>
                    <msup>
                      <mi>a</mi>
                      <mrow>
                        <mn>3</mn>
                      </mrow>
                    </msup>
                    <msup>
                      <mi>b</mi>
                      <mrow>
                        <mfrac>
                          <mn>5</mn>
                          <mn>3</mn>
                        </mfrac>
                      </mrow>
                    </msup>
                    <mo data-mjx-texclass="CLOSE">)</mo>
                  </mrow>
                  <mrow>
                    <mfrac>
                      <mn>3</mn>
                      <mn>5</mn>
                    </mfrac>
                  </mrow>
                </msup>
              </math>.
            </span>
            <span class="btn-box" @click="isShowAnswer13 = !isShowAnswer13">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer12" > 
            <p>
              <span class="zt-ls"><b>解</b></span>
@@ -1785,11 +1704,95 @@
              </math>
            </p>
          </div>
          <p class="p-btn" >
            <span>
              （2）
              <math display="0">
                <msup>
                  <mrow data-mjx-texclass="INNER">
                    <mo data-mjx-texclass="OPEN">(</mo>
                    <msup>
                      <mi>a</mi>
                      <mrow>
                        <mo>−</mo>
                        <mn>3</mn>
                      </mrow>
                    </msup>
                    <msup>
                      <mi>b</mi>
                      <mrow>
                        <mn>5</mn>
                      </mrow>
                    </msup>
                    <mo data-mjx-texclass="CLOSE">)</mo>
                  </mrow>
                  <mrow>
                    <mfrac>
                      <mn>1</mn>
                      <mn>5</mn>
                    </mfrac>
                  </mrow>
                </msup>
                <mo>⋅</mo>
                <msup>
                  <mrow data-mjx-texclass="INNER">
                    <mo data-mjx-texclass="OPEN">(</mo>
                    <msup>
                      <mi>a</mi>
                      <mrow>
                        <mn>2</mn>
                      </mrow>
                    </msup>
                    <mo data-mjx-texclass="CLOSE">)</mo>
                  </mrow>
                  <mrow>
                    <mfrac>
                      <mn>1</mn>
                      <mn>5</mn>
                    </mfrac>
                  </mrow>
                </msup>
                <mo>÷</mo>
                <msup>
                  <mrow data-mjx-texclass="INNER">
                    <mo data-mjx-texclass="OPEN">(</mo>
                    <msup>
                      <mi>a</mi>
                      <mrow>
                        <mn>3</mn>
                      </mrow>
                    </msup>
                    <msup>
                      <mi>b</mi>
                      <mrow>
                        <mfrac>
                          <mn>5</mn>
                          <mn>3</mn>
                        </mfrac>
                      </mrow>
                    </msup>
                    <mo data-mjx-texclass="CLOSE">)</mo>
                  </mrow>
                  <mrow>
                    <mfrac>
                      <mn>3</mn>
                      <mn>5</mn>
                    </mfrac>
                  </mrow>
                </msup>
              </math>.
            </span>
            <span class="btn-box" @click="isShowAnswer13 = !isShowAnswer13">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <p  v-if="isShowAnswer13" class="left1">
            <math display="">
              <mtable columnalign="left" columnspacing="1em" rowspacing="4pt">


                <mtr>
                  <mtd>
                    <mtext>（2）</mtext>
@@ -2034,67 +2037,6 @@
              </svg>
            </span>
          </p>
          <p class="p-btn" >
            <span>
              （2）
              <math display="0">
                <msqrt>
                  <msup>
                    <mi>a</mi>
                    <mrow>
                      <mn>3</mn>
                    </mrow>
                  </msup>
                  <msup>
                    <mi>b</mi>
                    <mrow>
                      <mo>−</mo>
                      <mn>3</mn>
                    </mrow>
                  </msup>
                </msqrt>
                <mo>·</mo>
                <mroot>
                  <mrow>
                    <msup>
                      <mi>a</mi>
                      <mrow>
                        <mo>−</mo>
                        <mn>2</mn>
                      </mrow>
                    </msup>
                    <msup>
                      <mi>b</mi>
                      <mrow>
                        <mn>2</mn>
                      </mrow>
                    </msup>
                  </mrow>
                  <mn>3</mn>
                </mroot>
                <mo>·</mo>
                <mroot>
                  <mrow>
                    <mi>a</mi>
                    <msup>
                      <mi>b</mi>
                      <mrow>
                        <mn>5</mn>
                      </mrow>
                    </msup>
                  </mrow>
                  <mn>6</mn>
                </mroot>
              </math>.
            </span>
            <span class="btn-box" @click="isShowAnswer15 = !isShowAnswer15">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer14" > 
            <p>
              <span class="zt-ls"><b>解</b></span>
@@ -2242,7 +2184,67 @@
              </mtable>
            </math>
          </div>

          <p class="p-btn" >
            <span>
              （2）
              <math display="0">
                <msqrt>
                  <msup>
                    <mi>a</mi>
                    <mrow>
                      <mn>3</mn>
                    </mrow>
                  </msup>
                  <msup>
                    <mi>b</mi>
                    <mrow>
                      <mo>−</mo>
                      <mn>3</mn>
                    </mrow>
                  </msup>
                </msqrt>
                <mo>·</mo>
                <mroot>
                  <mrow>
                    <msup>
                      <mi>a</mi>
                      <mrow>
                        <mo>−</mo>
                        <mn>2</mn>
                      </mrow>
                    </msup>
                    <msup>
                      <mi>b</mi>
                      <mrow>
                        <mn>2</mn>
                      </mrow>
                    </msup>
                  </mrow>
                  <mn>3</mn>
                </mroot>
                <mo>·</mo>
                <mroot>
                  <mrow>
                    <mi>a</mi>
                    <msup>
                      <mi>b</mi>
                      <mrow>
                        <mn>5</mn>
                      </mrow>
                    </msup>
                  </mrow>
                  <mn>6</mn>
                </mroot>
              </math>.
            </span>
            <span class="btn-box" @click="isShowAnswer15 = !isShowAnswer15">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <math v-if="isShowAnswer15" display="">
            <mtable columnalign="left" columnspacing="1em" rowspacing="4pt">
              <mtr>
@@ -2849,6 +2851,10 @@
              </svg>
            </span>
          </p>
          <p v-if="isShowAnswer17" >
            <span class="zt-ls"><b>解</b></span>（1）
            因为<i>f</i>（<i>x</i>）=<i>a<sup>x</sup></i>（<i>a</i>＞0，且<i>a</i>≠1），且<i>f</i>（3）=125，所以<i>a</i><sup>3</sup>=125，解得<i>a</i>=5，于是<i>f</i>（<i>x</i>）=5<i><sup>x</sup></i>.
          </p>
          <p class="p-btn" >
            <span>
                （2） 求<i>f</i>（0），<i>f</i>（2），<i>f</i>（-2），<math display="0">
@@ -2871,12 +2877,8 @@
              </svg>
            </span>
          </p>
          <p v-if="isShowAnswer17" >
            <span class="zt-ls"><b>解</b></span>（1）
            因为<i>f</i>（<i>x</i>）=<i>a<sup>x</sup></i>（<i>a</i>＞0，且<i>a</i>≠1），且<i>f</i>（3）=125，所以<i>a</i><sup>3</sup>=125，解得<i>a</i>=5，于是<i>f</i>（<i>x</i>）=5<i><sup>x</sup></i>.
          </p>
          <p v-if="isShowAnswer18">
            （2）
            <span class="zt-ls"><b>解</b></span>（2）
            <i>f</i>（0）=5<sup>0</sup>=1，<i>f</i>（2）=5<sup>2</sup>=25，<math display="0">
              <mi>f</mi>
              <mo>−</mo>
@@ -3241,6 +3243,15 @@
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer20" >
            <p>
              <span class="zt-ls"><b>解</b></span>（1） 因为4＞1 ， 所以<i>y</i>=4<i><sup>x</sup></i>在（-∞，+∞）内是增函数（如图4-5所示）.
            </p>
            <p class="center">
                <img class="img-f" alt="" src="../../assets/images/0137-7.jpg" />
              </p>
              <p class="img">图4-5</p>
          </div>
          <p class="p-btn" >
            <span>（2） <i>y</i>=3<i><sup>-x</sup></i>；</span>
            <span class="btn-box" @click="isShowAnswer21 = !isShowAnswer21">
@@ -3251,42 +3262,9 @@
              </svg>
            </span>
          </p>
          <p class="p-btn" >
            <span>
              （3）
              <math display="0">
                <mi>y</mi>
                <mo>=</mo>
                <msup>
                  <mn>2</mn>
                  <mrow>
                    <mfrac>
                      <mi>x</mi>
                      <mn>3</mn>
                    </mfrac>
                  </mrow>
                </msup>
              </math>.
            </span>
            <span class="btn-box" @click="isShowAnswer22 = !isShowAnswer22">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer20" >
            <p>
              <span class="zt-ls"><b>解</b></span>（1） 因为4＞1 ， 所以<i>y</i>=4<i><sup>x</sup></i>在（-∞，+∞）内是增函数（如图4-5所示）.
            </p>
            <p class="center">
                <img class="img-f" alt="" src="../../assets/images/0137-7.jpg" />
              </p>
              <p class="img">图4-5</p>
          </div>
          <div v-if="isShowAnswer21" > 
            <p>
              <span class="zt-ls"><b>解</b></span>
              （2）
              <math display="0">
                <mi>y</mi>
@@ -3345,8 +3323,34 @@
              </p>
              <p class="img">图4-6</p>
          </div>
          <p class="p-btn" >
            <span>
              （3）
              <math display="0">
                <mi>y</mi>
                <mo>=</mo>
                <msup>
                  <mn>2</mn>
                  <mrow>
                    <mfrac>
                      <mi>x</mi>
                      <mn>3</mn>
                    </mfrac>
                  </mrow>
                </msup>
              </math>.
            </span>
            <span class="btn-box" @click="isShowAnswer22 = !isShowAnswer22">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer22" > 
            <p>
              <span class="zt-ls"><b>解</b></span>
              （3）<math display="0">
                <mi>y</mi>
                <mo>=</mo>
@@ -3440,6 +3444,12 @@
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer23" > 
            <p>
              <span class="zt-ls"><b>解</b></span>（1） 因为<i>y</i>=1.8<i><sup>x</sup></i>是<b>R</b>上的增函数，且2.5＜3，所以
            </p>
            <p class="center">1.8<sup>2.5</sup>＜1.8<sup>3</sup>.</p>
          </div>
          <p class="p-btn" >
            <span>
              （2）
@@ -3453,15 +3463,9 @@
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer23" > 
            <p>
              <span class="zt-ls"><b>解</b></span>（1） 因为<i>y</i>=1.8<i><sup>x</sup></i>是<b>R</b>上的增函数，且2.5＜3，所以
            </p>
            <p class="center">1.8<sup>2.5</sup>＜1.8<sup>3</sup>.</p>
          </div>
          <div v-if="isShowAnswer24" > 
            <p>
              （2） 因为<i>y</i>=0.9<i><sup>x</sup></i>是<b>R</b>上的减函数，且-0.2＞-0.3，所以
              <span class="zt-ls"><b>解</b></span>（2） 因为<i>y</i>=0.9<i><sup>x</sup></i>是<b>R</b>上的减函数，且-0.2＞-0.3，所以
            </p>
            <p class="center">0.9<sup>-0.2</sup>＜0.9<sup>-0.3</sup>.</p>
          </div>
@@ -3513,19 +3517,6 @@
              </svg>
            </span>
          </p>
          <p class="p-btn" >
            <span>
              （2）
              若<i>f</i>（m）≥9，求<i>m</i>的取值范围.
            </span>
            <span class="btn-box" @click="isShowAnswer27 = !isShowAnswer27">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer26" > 
            <p>
              <span class="zt-ls"><b>解</b></span>（1） 图像过点（3，27），即<i>x</i>=3时，<i>f</i>（3）=27.
@@ -3558,8 +3549,22 @@
              </math>.
            </p>
          </div>
          <p class="p-btn" >
            <span>
              （2）
              若<i>f</i>（m）≥9，求<i>m</i>的取值范围.
            </span>
            <span class="btn-box" @click="isShowAnswer27 = !isShowAnswer27">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer27" > 
            <p>
              <span class="zt-ls"><b>解</b></span>
              （2）
              因为<i>f</i>（<i>m</i>）=3<i><sup>m</sup></i>，所以得到3<i><sup>m</sup></i>≥9，即3<i><sup>m</sup></i>≥3<sup>2</sup>.
            </p>
@@ -4100,73 +4105,6 @@
              </svg>
            </span>
          </p>
          <p class="p-btn" >
            <span>
              （2）<math display="0">
                <msub>
                  <mi>log</mi>
                  <mrow>
                    <mi>a</mi>
                  </mrow>
                </msub>
                <mo data-mjx-texclass="NONE">⁡</mo>
                <mfrac>
                  <msup>
                    <mi>x</mi>
                    <mrow>
                      <mn>2</mn>
                    </mrow>
                  </msup>
                  <mrow>
                    <mi>y</mi>
                    <mi>z</mi>
                  </mrow>
                </mfrac>
              </math>；
            </span>
            <span class="btn-box" @click="isShowAnswer34 = !isShowAnswer34">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <p class="p-btn" >
            <span>
              （3）
              <math display="0">
                <msub>
                  <mi>log</mi>
                  <mrow>
                    <mi>a</mi>
                  </mrow>
                </msub>
                <mo data-mjx-texclass="NONE">⁡</mo>
                <mfrac>
                  <msqrt>
                    <mi>x</mi>
                  </msqrt>
                  <mrow>
                    <msup>
                      <mi>y</mi>
                      <mrow>
                        <mn>2</mn>
                      </mrow>
                    </msup>
                    <mi>z</mi>
                  </mrow>
                </mfrac>
              </math>.
            </span>
            <span class="btn-box" @click="isShowAnswer35 = !isShowAnswer35">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer33" >            
            <p>
              <span class="zt-ls"><b>解</b></span>
@@ -4268,6 +4206,38 @@
              </math>
            </p>
          </div>
          <p class="p-btn" >
            <span>
              （2）<math display="0">
                <msub>
                  <mi>log</mi>
                  <mrow>
                    <mi>a</mi>
                  </mrow>
                </msub>
                <mo data-mjx-texclass="NONE">⁡</mo>
                <mfrac>
                  <msup>
                    <mi>x</mi>
                    <mrow>
                      <mn>2</mn>
                    </mrow>
                  </msup>
                  <mrow>
                    <mi>y</mi>
                    <mi>z</mi>
                  </mrow>
                </mfrac>
              </math>；
            </span>
            <span class="btn-box" @click="isShowAnswer34 = !isShowAnswer34">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <p class="left1"  v-if="isShowAnswer34">
            <math display="">
              <mo stretchy="false">（2）</mo>
@@ -4378,6 +4348,41 @@
              <mi>z</mi>
              <mo>;</mo>
            </math>
          </p>
          <p class="p-btn" >
            <span>
              （3）
              <math display="0">
                <msub>
                  <mi>log</mi>
                  <mrow>
                    <mi>a</mi>
                  </mrow>
                </msub>
                <mo data-mjx-texclass="NONE">⁡</mo>
                <mfrac>
                  <msqrt>
                    <mi>x</mi>
                  </msqrt>
                  <mrow>
                    <msup>
                      <mi>y</mi>
                      <mrow>
                        <mn>2</mn>
                      </mrow>
                    </msup>
                    <mi>z</mi>
                  </mrow>
                </mfrac>
              </math>.
            </span>
            <span class="btn-box" @click="isShowAnswer35 = !isShowAnswer35">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <p class="left1" v-if="isShowAnswer35" >
            <math display="">
@@ -4495,31 +4500,6 @@
              </svg>
            </span>
          </p>
          <p class="p-btn" >
            <span>
              （2） log <sub>3</sub>（9<sup>3</sup>×3<sup>5</sup>）；
            </span>
            <span class="btn-box" @click="isShowAnswer37 = !isShowAnswer37">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <p class="p-btn" >
            <span>
              （3） log
              <sub>7</sub>56-log<sub>7</sub>8.
            </span>
            <span class="btn-box" @click="isShowAnswer38 = !isShowAnswer38">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer36" >
            <p>
              <span class="zt-ls"><b>解</b></span>
@@ -4594,6 +4574,18 @@
              </math>
            </p>
          </div>
          <p class="p-btn" >
            <span>
              （2） log <sub>3</sub>（9<sup>3</sup>×3<sup>5</sup>）；
            </span>
            <span class="btn-box" @click="isShowAnswer37 = !isShowAnswer37">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <p v-if="isShowAnswer37" class="left1">
            <math display="">
              <mo stretchy="false">（2）</mo>
@@ -4685,6 +4677,19 @@
              <mn>11</mn>
              <mo>;</mo>
            </math>
          </p>
          <p class="p-btn" >
            <span>
              （3） log
              <sub>7</sub>56-log<sub>7</sub>8.
            </span>
            <span class="btn-box" @click="isShowAnswer38 = !isShowAnswer38">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <p v-if="isShowAnswer38" class="left1">
            <math display="">
@@ -5713,6 +5718,14 @@
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer43" >
            <p>
              <span class="zt-ls"><b>解</b></span>（1） 要使函数有意义，必须满足<i>x</i>-3＞0，解得<i>x</i>＞3.
            </p>
            <p>
              所以，<i>y</i>=log <sub>0.5</sub>（<i>x</i>-3）的定义域是（3，+∞）.
            </p>
          </div>
          <p class="p-btn" >
            <span>
              （2）
@@ -5726,17 +5739,9 @@
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer43" >
            <p>
              <span class="zt-ls"><b>解</b></span>（1） 要使函数有意义，必须满足<i>x</i>-3＞0，解得<i>x</i>＞3.
            </p>
            <p>
              所以，<i>y</i>=log <sub>0.5</sub>（<i>x</i>-3）的定义域是（3，+∞）.
            </p>
          </div>
          <div v-if="isShowAnswer44" > 
            <p>
              （2） 要使函数有意义，必须满足4-<i>x</i><sup>2</sup>＞0，解得
              <span class="zt-ls"><b>解</b></span>（2） 要使函数有意义，必须满足4-<i>x</i><sup>2</sup>＞0，解得
              -2＜<i>x</i>＜2.
            </p>
            <p>
@@ -5963,6 +5968,17 @@
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer45" > 
            <p>
              <span class="zt-ls"><b>解</b></span>（1）
              因为底数2＞1，所以<i>y</i>=log<sub>2</sub><i>x</i>在区间（0，+∞）上是增函数，函数图像如图4-10所示.
            </p>
            <p>又因为5.3＞4.7，所以log<sub>2</sub>5.3＞log<sub>2</sub>4.7.</p>
            <p class="center">
                <img class="img-f" alt="" src="../../assets/images/0151-1.jpg" />
              </p>
              <p class="img">图4-10</p>
          </div>
          <p class="p-btn" >
            <span>
              （2） log
@@ -5976,6 +5992,16 @@
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer46" > 
            <p>
              <span class="zt-ls"><b>解</b></span>（2） 因为底数0＜0.2＜1，所以<i>y</i>=log <sub>0.2</sub><i>x</i>在区间（0，+∞）上是减函数，函数图像如图4-11所示.
            </p>
            <p>又因为7＜9，所以log <sub>0.2</sub>7＞log <sub>0.2</sub>9.</p>
            <p class="center">
                <img class="img-f" alt="" src="../../assets/images/0151-2.jpg" />
              </p>
              <p class="img">图4-11</p>
          </div>
          <p class="p-btn" >
            <span>
              （3） log<sub>5</sub>4与1；
@@ -5987,6 +6013,9 @@
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <p v-if="isShowAnswer47">
            <span class="zt-ls"><b>解</b></span> （3） log<sub>5</sub>4＜log<sub>5</sub>5=1，即log<sub>5</sub>4＜1.
          </p>
          <p class="p-btn" >
            <span>
@@ -6001,32 +6030,8 @@
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer45" > 
            <p>
              <span class="zt-ls"><b>解</b></span>（1）
              因为底数2＞1，所以<i>y</i>=log<sub>2</sub><i>x</i>在区间（0，+∞）上是增函数，函数图像如图4-10所示.
            </p>
            <p>又因为5.3＞4.7，所以log<sub>2</sub>5.3＞log<sub>2</sub>4.7.</p>
            <p class="center">
                <img class="img-f" alt="" src="../../assets/images/0151-1.jpg" />
              </p>
              <p class="img">图4-10</p>
          </div>
          <div v-if="isShowAnswer46" > 
            <p>
              （2） 因为底数0＜0.2＜1，所以<i>y</i>=log <sub>0.2</sub><i>x</i>在区间（0，+∞）上是减函数，函数图像如图4-11所示.
            </p>
            <p>又因为7＜9，所以log <sub>0.2</sub>7＞log <sub>0.2</sub>9.</p>
            <p class="center">
                <img class="img-f" alt="" src="../../assets/images/0151-2.jpg" />
              </p>
              <p class="img">图4-11</p>
          </div>
          <p v-if="isShowAnswer47">
            （3） log<sub>5</sub>4＜log<sub>5</sub>5=1，即log<sub>5</sub>4＜1.
          </p>
          <p v-if="isShowAnswer48" >
            （4） 因为 log<sub>3</sub>4＞log<sub>3</sub>1=0，log
            <span class="zt-ls"><b>解</b></span>（4） 因为 log<sub>3</sub>4＞log<sub>3</sub>1=0，log
            <sub>0.3</sub>4＜log <sub>0.3</sub>1=0，所以 log<sub>3</sub>4＞log
            <sub>0.3</sub>4.
          </p>
@@ -6057,6 +6062,14 @@
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer49" > 
            <p>
              <span class="zt-ls"><b>解</b></span>（1） 因为<i>y</i>=log
              4<i>x</i>在（0，+∞）上是增函数，所以<i>x</i>＜5.
            </p>
            <p>又因为<i>x</i>＞0，所以0＜<i>x</i>＜5.</p>
            <p>所以不等式的解集为（0，5）.</p>
          </div>
          <p class="p-btn" >
            <span>
              （2）
@@ -6084,16 +6097,9 @@
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer49" > 
            <p>
              <span class="zt-ls"><b>解</b></span>（1） 因为<i>y</i>=log
              4<i>x</i>在（0，+∞）上是增函数，所以<i>x</i>＜5.
            </p>
            <p>又因为<i>x</i>＞0，所以0＜<i>x</i>＜5.</p>
            <p>所以不等式的解集为（0，5）.</p>
          </div>
          <div v-if="isShowAnswer50" > 
            <p>
              <span class="zt-ls"><b>解</b></span>
              （2）
              <math display="0">
                <msub>
@@ -6332,19 +6338,6 @@
              </svg>
            </span>
          </p>
          <p class="p-btn" >
            <span>
              （2） 当测绘人员在登顶过程中测得其所在位置的海拔高程为8 844.43
              m时，大气压强为多少？
            </span>
            <span class="btn-box" @click="isShowAnswer54 = !isShowAnswer54">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer53" > 
            <p>
              <span class="zt-ls"><b>解</b></span> 海平面的海拔高程为0 m.将
@@ -6380,6 +6373,19 @@
              827.090 m.
            </p>
          </div>
          <p class="p-btn" >
            <span>
              （2） 当测绘人员在登顶过程中测得其所在位置的海拔高程为8 844.43
              m时，大气压强为多少？
            </span>
            <span class="btn-box" @click="isShowAnswer54 = !isShowAnswer54">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer54" > 
            <p>（2） 把<i>y</i>=8 844.43代入①式，</p>
            <p class="center">8 844.43=-8 004.203 ln <i>x</i>+92 255.180，</p>
@@ -6813,7 +6819,7 @@
    <div class="page-box hidePage" page="158"></div>
    <!-- 152 -->
    <div class="page-box hidePage" page="159"></div>
        <!-- 解题思路弹窗 -->
    <!-- 解题思路弹窗 -->
    <el-dialog :visible.sync="thinkingDialog" width="40%" :append-to-body="true" :show-close="false"
      @close="closeDialog" class="thinkDialog">
      <div slot="title" class="think-header"

 src/books/mathBook/view/components/chapter005.vue

@@ -184,16 +184,6 @@
              </svg>
            </span>
          </p>
          <p class="p-btn" >
            <span>（2） -300°.</span>
            <span class="btn-box" @click="hadleAnswer(1)">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer0" > 
            <p>
              <span class="zt-ls"><b>解</b></span>（1）
@@ -205,8 +195,18 @@
            </p>
            <p class="img">图5-4</p>
          </div>
          <p class="p-btn" >
            <span>（2） -300°.</span>
            <span class="btn-box" @click="hadleAnswer(1)">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <p v-if="isShowAnswer1" >
            （2）
            <span class="zt-ls"><b>解</b></span>（2）
            以<i>x</i>轴的非负半轴为始边，顺时针方向旋转300°，即形成-300°角，如图5-4（2）
            所示.因为-300°角的终边在第一象限内，所以-300°角是第一象限角.
          </p>
@@ -254,7 +254,7 @@
            <p>第五单元 三角函数</p>
          </li>
          <li>
            <p><span>159</span></p>
            <p><span>159-160</span></p>
          </li>
        </ul>
        <div class="padding-116">
@@ -287,6 +287,9 @@
              </svg>
            </span>
          </p>
          <p v-if="isShowAnswer2" >
            <span class="zt-ls"><b>解</b></span>（1） 因为600°=240°+360°，所以600°角与240°角终边相同，是第三象限角.
          </p>
          <p class="p-btn" >
            <span>（2） -230°；</span>
            <span class="btn-box" @click="hadleAnswer(3)">
@@ -296,6 +299,10 @@
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <p v-if="isShowAnswer3" >
            <span class="zt-ls"><b>解</b></span>（2）
            因为-230°=130°-360°，所以-230°角与130°角终边相同，是第二象限角.
          </p>
          <p class="p-btn" >
            <span>（3） -890°.</span>
@@ -307,15 +314,8 @@
              </svg>
            </span>
          </p>
          <p v-if="isShowAnswer2" >
            <span class="zt-ls"><b>解</b></span>（1） 因为600°=240°+360°，所以600°角与240°角终边相同，是第三象限角.
          </p>
          <p v-if="isShowAnswer3" >
            （2）
            因为-230°=130°-360°，所以-230°角与130°角终边相同，是第二象限角.
          </p>
          <p v-if="isShowAnswer4" >
            （3）
            <span class="zt-ls"><b>解</b></span>（3）
            因为-890°=190°-3×360°，所以-890°角与190°角终边相同，是第三象限角.
          </p>
          <p>
@@ -324,26 +324,6 @@
          <p class="p-btn" >
            <span>（1） 终边在<i>y</i>轴正半轴上的角的集合；</span>
            <span class="btn-box" @click="hadleAnswer(5)">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <p class="p-btn" >
            <span>（2） 终边在<i>y</i>轴负半轴上的角的集合；</span>
            <span class="btn-box" @click="hadleAnswer(6)">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <p class="p-btn" >
            <span>（3） 终边在<i>y</i>轴上的角的集合.</span>
            <span class="btn-box" @click="hadleAnswer(7)">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
@@ -360,15 +340,35 @@
              <i>S</i>1={<i>β</i>|<i>β</i>=90°+<i>k</i>·360°，<i>k</i>∈<b>Z</b>}.
            </p>
          </div>
          <p class="p-btn" >
            <span>（2） 终边在<i>y</i>轴负半轴上的角的集合；</span>
            <span class="btn-box" @click="hadleAnswer(6)">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer6" > 
            <p>（2） 在0°～360°内，终边在<i>y</i>轴负半轴上的角是270°角，</p>
            <p><span class="zt-ls"><b>解</b></span>（2） 在0°～360°内，终边在<i>y</i>轴负半轴上的角是270°角，</p>
            <p>所以，终边在<i>y</i>轴负半轴上的角的集合是</p>
            <p class="center">
              <i>S</i>2={<i>β</i>|<i>β</i>=270°+<i>k</i>·360°，<i>k</i>∈<b>Z</b>}.
            </p>
          </div>
          <p class="p-btn" >
            <span>（3） 终边在<i>y</i>轴上的角的集合.</span>
            <span class="btn-box" @click="hadleAnswer(7)">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer7" > 
            <p>（3） 终边在<i>y</i>轴上的角的集合是</p>
            <p> <span class="zt-ls"><b>解</b></span>（3） 终边在<i>y</i>轴上的角的集合是</p>
            <p><i>S</i>=<i>S</i><sub>1</sub>∪<i>S</i><sub>2</sub></p>
            <p>
              ={<i>β</i>|<i>β</i>=90°+<i>k</i>·360°，<i>k</i>∈<b>Z</b>}∪{<i>β</i>|<i>β</i>=270°+<i>k</i>·360°，<i>k</i>∈<b>Z</b>}
@@ -378,19 +378,6 @@
            </p>
            <p>={<i>β</i>|<i>β</i>=90°+<i>m</i>·180°，<i>m</i>∈<b>Z</b>}.</p>
          </div>
        </div>
      </div>
    </div>
    <!-- 160 -->
    <div class="page-box" page="167">
      <div v-if="showPageList.indexOf(167) > -1">
        <ul class="page-header-odd fl al-end">
          <li>160</li>
          <li>数学.基础模块</li>
          <li>上册</li>
        </ul>
        <div class="padding-116">

          <p class="left">
            <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
          </p>
@@ -400,6 +387,9 @@
          </div>
        </div>
      </div>
    </div>
    <!-- 160 -->
    <div class="page-box hidePage" page="167">
    </div>
    <!-- 161 -->
    <div class="page-box" page="168">
@@ -897,7 +887,7 @@
          </p>
          <div v-if="isShowAnswer11" > 
            <p>
              （2）
              <span class="zt-ls"><b>解</b></span>（2）
              先将科学计算器的精确度设置为0.01，再将科学计算器设置为弧度计算模式，科学计算器Ⅰ按<img class="inline" alt=""
                src="../../assets/images/0175-5.jpg" />，科学计算器Ⅱ按<img class="inline" alt=""
                src="../../assets/images/0175-6.jpg" />.之后依次按下列各键.
@@ -1920,6 +1910,12 @@
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer15" > 
            <p>
              <span class="zt-ls"><b>解</b></span>（1） 因为-210°是第二象限角，所以
            </p>
            <p class="center">sin（-210°）＞0.</p>
          </div>
          <p class="p-btn" >
            <span>（2） tan760°；</span>
            <span class="btn-box" @click="hadleAnswer(16)">
@@ -1930,6 +1926,13 @@
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer16" > 
            <p>
              <span class="zt-ls"><b>解</b></span>（2）
             因为760°=40°+2×360°，可知760°角与40°角的终边相同，是第一象限角，所以
            </p>
            <p class="center">tan 760°＞0.</p>
          </div>
          <p class="p-btn" >
            <span>
              （3）
@@ -1953,22 +1956,9 @@
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer15" > 
            <p>
              <span class="zt-ls"><b>解</b></span>（1） 因为-210°是第二象限角，所以
            </p>
            <p class="center">sin（-210°）＞0.</p>
          </div>
          <div v-if="isShowAnswer16" > 
            <p>
            （2）
             因为760°=40°+2×360°，可知760°角与40°角的终边相同，是第一象限角，所以
            </p>
            <p class="center">tan 760°＞0.</p>
          </div>
          <div v-if="isShowAnswer17" > 
            <p>
              （3） 由<math display="0">
              <span class="zt-ls"><b>解</b></span>（3） 由<math display="0">
                <mfrac>
                  <mrow>
                    <mn>17</mn>
@@ -5264,7 +5254,7 @@
          </p>
          <div v-if="isShowAnswer32" > 
            <p>
              （2）
              <span class="zt-ls"><b>解</b></span>（2）
              先将精确度设置为0.01，再将科学计算器设置为弧度计算模式，然后依次按下列各键：
            </p>
            <p class="center">
@@ -5323,6 +5313,7 @@
          </p>
          <div v-if="isShowAnswer33" > 
            <p>
              <span class="zt-ls"><b>解</b></span>
              （3）
              先将精确度设置为0.01，再将科学计算器设置为弧度计算模式，然后依次按下列各键：
            </p>
@@ -5608,7 +5599,7 @@
            </span>
          </p>
          <div v-if="isShowAnswer35" > 
            <p>（2） 列表（表5-7）.</p>
            <p><span class="zt-ls"><b>解</b></span>（2） 列表（表5-7）.</p>
            <p class="img">表5-7</p>
            <p class="center">
              <img class="img-a" alt="" src="../../assets/images/0201-4.jpg" />
@@ -5799,18 +5790,6 @@
              </svg>
            </span>
          </p>
          <p class="p-btn" >
            <span>
              （2） <i>y</i>=-2sin<i>x</i>.
            </span>
            <span class="btn-box" @click="hadleAnswer(38)">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer37" > 
            <p>
              <span class="zt-ls"><b>解</b></span>（1）
@@ -5878,9 +5857,21 @@
              </math>.这时函数<i>y</i>=3+sin<i>x</i>的最小值为<i>y</i>=3+（-1）=2.
            </p>
          </div>
          <p class="p-btn" >
            <span>
              （2） <i>y</i>=-2sin<i>x</i>.
            </span>
            <span class="btn-box" @click="hadleAnswer(38)">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer38" > 
            <p>
              （2）
              <span class="zt-ls"><b>解</b></span>（2）
              使函数<i>y</i>=-2sin<i>x</i>取得最大值的<i>x</i>的集合，就是使函数<i>y</i>=sin<i>x</i>取得最小值的<i>x</i>的集合<math display="0">
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">{</mo>
@@ -6101,42 +6092,6 @@
              </svg>
            </span>
          </p>
          <p class="p-btn" >
            <span>
              （2）<math display="0">
                <mi>sin</mi>
                <mo data-mjx-texclass="NONE">⁡</mo>
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">(</mo>
                  <mo>−</mo>
                  <mfrac>
                    <mi>π</mi>
                    <mn>9</mn>
                  </mfrac>
                  <mo data-mjx-texclass="CLOSE">)</mo>
                </mrow>
              </math>与<math display="0">
                <mi>sin</mi>
                <mo data-mjx-texclass="NONE">⁡</mo>
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">(</mo>
                  <mo>−</mo>
                  <mfrac>
                    <mi>π</mi>
                    <mn>10</mn>
                  </mfrac>
                  <mo data-mjx-texclass="CLOSE">)</mo>
                </mrow>
              </math>.
            </span>
            <span class="btn-box" @click="hadleAnswer(40)">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer39" > 
            <p>
              <span class="zt-ls"><b>解</b></span>（1） 因为　<math display="0">
@@ -6213,9 +6168,45 @@
              <mtext>.&nbsp;</mtext>
            </math>
          </div>
          <p class="p-btn" >
            <span>
              （2）<math display="0">
                <mi>sin</mi>
                <mo data-mjx-texclass="NONE">⁡</mo>
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">(</mo>
                  <mo>−</mo>
                  <mfrac>
                    <mi>π</mi>
                    <mn>9</mn>
                  </mfrac>
                  <mo data-mjx-texclass="CLOSE">)</mo>
                </mrow>
              </math>与<math display="0">
                <mi>sin</mi>
                <mo data-mjx-texclass="NONE">⁡</mo>
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">(</mo>
                  <mo>−</mo>
                  <mfrac>
                    <mi>π</mi>
                    <mn>10</mn>
                  </mfrac>
                  <mo data-mjx-texclass="CLOSE">)</mo>
                </mrow>
              </math>.
            </span>
            <span class="btn-box" @click="hadleAnswer(40)">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer40" > 
            <p>
                （2） 因为　<math display="0">
              <span class="zt-ls"><b>解</b></span>（2） 因为　<math display="0">
                  <mo>−</mo>
                  <mfrac>
                    <mi>π</mi>
@@ -6682,43 +6673,6 @@
              </svg>
            </span>
          </p>
          <p class="p-btn" >
            <span>
              （2）
              <math display="0">
                <mi>cos</mi>
                <mo data-mjx-texclass="NONE">⁡</mo>
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">(</mo>
                  <mo>−</mo>
                  <mfrac>
                    <mi>π</mi>
                    <mn>7</mn>
                  </mfrac>
                  <mo data-mjx-texclass="CLOSE">)</mo>
                </mrow>
              </math>与<math display="0">
                <mi>cos</mi>
                <mo data-mjx-texclass="NONE">⁡</mo>
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">(</mo>
                  <mo>−</mo>
                  <mfrac>
                    <mi>π</mi>
                    <mn>8</mn>
                  </mfrac>
                  <mo data-mjx-texclass="CLOSE">)</mo>
                </mrow>
              </math>.
            </span>
            <span class="btn-box" @click="hadleAnswer(45)">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer44" > 
            <p>
              <span class="zt-ls"><b>解</b></span>（1） 因为<math display="0">
@@ -6786,9 +6740,46 @@
              <mo>.</mo>
            </math>
          </div>
          <p class="p-btn" >
            <span>
              （2）
              <math display="0">
                <mi>cos</mi>
                <mo data-mjx-texclass="NONE">⁡</mo>
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">(</mo>
                  <mo>−</mo>
                  <mfrac>
                    <mi>π</mi>
                    <mn>7</mn>
                  </mfrac>
                  <mo data-mjx-texclass="CLOSE">)</mo>
                </mrow>
              </math>与<math display="0">
                <mi>cos</mi>
                <mo data-mjx-texclass="NONE">⁡</mo>
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">(</mo>
                  <mo>−</mo>
                  <mfrac>
                    <mi>π</mi>
                    <mn>8</mn>
                  </mfrac>
                  <mo data-mjx-texclass="CLOSE">)</mo>
                </mrow>
              </math>.
            </span>
            <span class="btn-box" @click="hadleAnswer(45)">
              <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
                <path class="a"
                  d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
                  transform="translate(-3327.144 15329)" />
              </svg>
            </span>
          </p>
          <div v-if="isShowAnswer45" > 
            <p>
              （2）<math display="0">
              <span class="zt-ls"><b>解</b></span>（2）<math display="0">
                <mi>cos</mi>
                <mo data-mjx-texclass="NONE">⁡</mo>
                <mrow data-mjx-texclass="INNER">

 src/books/mathBook/view/components/index.vue

@@ -3,23 +3,48 @@
    <div id="searchDomBox" style="display: none">
      <div id="searchContent"></div>
    </div>
    <div class="page-content" :style="{
      fontSize: fontSize ? fontSize + 'px' : '16px',
      transform: `scale(${pageZoom ? pageZoom : 1})`,
      transformOrigin: 'center top',
    }">
      <pageHeader v-if="showCatalogList.indexOf(1) > -1" :showPageList="loadPageList"></pageHeader>
      <chapterOne v-if="showCatalogList.indexOf(2) > -1" :showPageList="loadPageList" :questionData="questionDataMap">
    <div
      class="page-content"
      :style="{
        fontSize: fontSize ? fontSize + 'px' : '16px',
        transform: `scale(${pageZoom ? pageZoom : 1})`,
        transformOrigin: 'center top',
      }"
    >
      <pageHeader
        v-if="showCatalogList.indexOf(1) > -1"
        :showPageList="loadPageList"
      ></pageHeader>
      <chapterOne
        v-if="showCatalogList.indexOf(2) > -1"
        :showPageList="loadPageList"
        :questionData="questionDataMap"
      >
      </chapterOne>
      <chapterTwo v-if="showCatalogList.indexOf(3) > -1" :showPageList="loadPageList" :questionData="questionDataMap">
      <chapterTwo
        v-if="showCatalogList.indexOf(3) > -1"
        :showPageList="loadPageList"
        :questionData="questionDataMap"
      >
      </chapterTwo>
      <chapterThree v-if="showCatalogList.indexOf(4) > -1" :showPageList="loadPageList" :questionData="questionDataMap">
      <chapterThree
        v-if="showCatalogList.indexOf(4) > -1"
        :showPageList="loadPageList"
        :questionData="questionDataMap"
      >
      </chapterThree>
      <chapterFour v-if="showCatalogList.indexOf(5) > -1" :showPageList="loadPageList" :questionData="questionDataMap">
      <chapterFour
        v-if="showCatalogList.indexOf(5) > -1"
        :showPageList="loadPageList"
        :questionData="questionDataMap"
      >
      </chapterFour>
      <chapterFive v-if="showCatalogList.indexOf(6) > -1" :showPageList="loadPageList" :questionData="questionDataMap">
      <chapterFive
        v-if="showCatalogList.indexOf(6) > -1"
        :showPageList="loadPageList"
        :questionData="questionDataMap"
      >
      </chapterFive>

    </div>
  </div>
</template>
@@ -30,8 +55,8 @@
import chapterOne from "./chapter001.vue";
import chapterTwo from "./chapter002.vue";
import chapterThree from "./chapter003.vue";
import chapterFour from './chapter004.vue'
import chapterFive from './chapter005.vue'
import chapterFour from "./chapter004.vue";
import chapterFive from "./chapter005.vue";
import NoteIcon from "@/assets/images/biji.png";
import _ from "lodash";
import Swiper from "swiper/bundle";
@@ -57,6 +82,8 @@
      highlightData: null,
      questionId: {},
      collectId: [],
      questionDataIndex: 0, // 当前请求的是哪个章节的题目
      questionList: [], // 章节题目列表
    };
  },
  computed: {
@@ -162,7 +189,7 @@

    // 测试页面跳转
    // setTimeout(() => {
    //   this.gotoPage(5, 210);
    //   this.gotoPage(6,206);
    //   //   setTimeout(() => {
    //   //     this.renderSign("Highlight", {
    //   //       id: "2ACA9359",
@@ -194,7 +221,7 @@

    // 获取题目id列表
    this.getQuestionId();
    this.getCollect()
    this.getCollect();
  },
  methods: {
    // setZoom1() {
@@ -213,8 +240,7 @@
    // },
    // 滚动监听
    scrollFun(event) {

      this.handleVideoPicture()
      this.handleVideoPicture();

      // 判断向上滚动还是向下滚动
      if (event.target.scrollTop > this.previousScrollTop) {
@@ -270,7 +296,6 @@
            this.catalogLength - 2,
            this.catalogLength - 1,
            this.catalogLength,

          ];
        } else {
          this.showCatalogList = [catalog - 1, catalog, catalog + 1];
@@ -455,8 +480,8 @@
          page && pageThemeColor && pageThemeColor[page]
            ? pageThemeColor[page]
            : chapterNum && chapterThemeColor && chapterThemeColor[chapterNum]
              ? chapterThemeColor[chapterNum]
              : bookThemeColor;
            ? chapterThemeColor[chapterNum]
            : bookThemeColor;
        if (themeColor) {
          domItem.style.color = themeColor;
        }
@@ -473,8 +498,8 @@
          page && pageThemeColor && pageThemeColor[page]
            ? pageThemeColor[page]
            : chapterNum && chapterThemeColor && chapterThemeColor[chapterNum]
              ? chapterThemeColor[chapterNum]
              : bookThemeColor;
            ? chapterThemeColor[chapterNum]
            : bookThemeColor;
        if (themeColor) {
          domItem.style.backgroundColor = themeColor;
        }
@@ -491,8 +516,8 @@
          page && pageThemeColor && pageThemeColor[page]
            ? pageThemeColor[page]
            : chapterNum && chapterThemeColor && chapterThemeColor[chapterNum]
              ? chapterThemeColor[chapterNum]
              : bookThemeColor;
            ? chapterThemeColor[chapterNum]
            : bookThemeColor;
        if (themeColor) {
          domItem.style.borderColor = themeColor;
        }
@@ -554,19 +579,21 @@
            if (!this.questionDataMap[page]) {
              if (this.questionId && this.questionId[catalog]) {
                if (this.questionId[catalog][page]) {
                  console.log(page,Array.isArray(this.questionId[catalog][page]));
                  if(Array.isArray(this.questionId[catalog][page])) {
                    this.questionDataMap[page] = await this.getQuestion(catalog, page,false);
                  if (Array.isArray(this.questionId[catalog][page])) {
                    this.questionDataMap[page] = await this.getQuestion(
                      catalog,
                      page,
                      false
                    );
                  } else {
                    const obj = {}
                    const obj = {};
                    for (let key in this.questionId[catalog][page]) {
                      obj[key] = await this.getQuestion(catalog, page,key)
                      obj[key] = await this.getQuestion(catalog, page, key);
                    }
                    this.questionDataMap[page] = obj
                    this.questionDataMap[page] = obj;
                  }
                }
                console.log(1,this.questionDataMap);
                
                console.log(1, this.questionDataMap);
              }
            }
            // 渲染这一页的标记
@@ -816,7 +843,7 @@
      // 记录高亮信息
      this.highlightData = data;
      // 跳转
      this.gotoPage(data.catalog, data.page, () => { });
      this.gotoPage(data.catalog, data.page, () => {});
    },
    // 获取题目列表
    getQuestionId() {
@@ -828,7 +855,7 @@
    },
    // 获取题目收藏id列表
    getCollect() {
      if(!localStorage.getItem(this.config.tokenKey)) return false
      if (!localStorage.getItem(this.config.tokenKey)) return false;
      this.MG.identity
        .getUserKey({
          domain: "collectData",
@@ -838,17 +865,20 @@
          try {
            const collect = JSON.parse(res[0].value);
            if (collect.length) {
              this.collectId = collect.find(item => item.type == 'json').collectList
              this.collectId = collect.find(
                (item) => item.type == "json"
              ).collectList;
            }
          } catch (error) {
            console.log("暂无数据");
          }
        }).catch(res => {
          console.log('index 请求题目收藏id报错');
        })
        .catch((res) => {
          console.log("index 请求题目收藏id报错");
        });
    },
    // 获取章节题目
    async getQuestion(num, page,questionIndex) {
    async getQuestion(num, page, questionIndex) {
      let cardList = [
        {
          catalogName: "单选题",
@@ -873,40 +903,57 @@
      ];
      if (this.questionId) {
        if (this.questionId[num] && this.questionId[num][page]) {
          const res = await axios.get(
            this.config.activeBook.resourceUrl + "/question-" + num + ".json"
          );
          if (!res.data) return [];
          let ids = []
          questionIndex ? ids = this.questionId[num][page][questionIndex] : ids = this.questionId[num][page]
          for (let index = 0; index < res.data.data.length; index++) {
            const item = res.data.data[index];
          if (num != this.questionDataIndex) {
            // 判断当前章节的题目json是否已经请求过
            const res = await axios.get(
              this.config.activeBook.resourceUrl + "/question-" + num + ".json"
            );
            if (!res.data) return [];
            this.questionList = res.data.data;
            this.questionDataIndex = res.data.chapterNum;
            console.log("章节号", num, res);
          }
          let ids = [];
          questionIndex
            ? (ids = this.questionId[num][page][questionIndex])
            : (ids = this.questionId[num][page]);
          for (let index = 0; index < this.questionList.length; index++) {
            const item = this.questionList[index];
            // 数学公式加类名去修改样式
            if (item.type && item.type == 'material') {
              if (!item.infoList.length) return false
              item.infoList.forEach(citem => {
                if (citem.answer) citem.answer = citem.answer.replace(/\<math/gi, '<math class="examination-math"')
              })
            if (item.type && item.type == "material") {
              if (!item.infoList.length) return false;
              item.infoList.forEach((citem) => {
                if (citem.answer)
                  citem.answer = citem.answer.replace(
                    /\<math/gi,
                    '<math class="examination-math"'
                  );
              });
            } else {
              if (item.answer) item.answer = item.answer.replace(/\<math/gi, '<math class="examination-math"')
              if (item.answer)
                item.answer = item.answer.replace(
                  /\<math/gi,
                  '<math class="examination-math"'
                );
            }
            item.isCollect = this.collectId.indexOf(item.id) > -1 ? true : false
            item.isCollect =
              this.collectId.indexOf(item.id) > -1 ? true : false;
            if (ids.indexOf(item.id) > -1) {
              if (item.type && item.type == "material") {
                cardList.push(item);
              } else {
                if (item.questionType == "judge") {
                  cardList[1].infoList.push(item);
                }  
                }
                if (item.questionType == "singleChoice") {
                  cardList[0].infoList.push(item);
                } 
                 if (item.questionType == "multipleChoice") {
                }
                if (item.questionType == "multipleChoice") {
                  cardList[2].infoList.push(item);
                } 
                 if (item.questionType == "completion") {
                }
                if (item.questionType == "completion") {
                  cardList[3].infoList.push(item);
                } 
                }
                if (item.questionType == "shortAnswer") {
                  cardList[4].infoList.push(item);
                }
@@ -919,17 +966,14 @@
        return [];
      }
    },

    // 视频小窗
    handleVideoPicture() {
      let doms = (
        this.container ? this.container : document
      ).querySelectorAll(".video");
      doms = Array.from(doms)
      if (!doms.length) return false
      const playVudio = doms
        .reverse()
        .find((item) => item.paused == false);
      let doms = (this.container ? this.container : document).querySelectorAll(
        ".video"
      );
      doms = Array.from(doms);
      if (!doms.length) return false;
      const playVudio = doms.reverse().find((item) => item.paused == false);
      if (playVudio) {
        const bottomGap = playVudio.getBoundingClientRect().bottom;
        const topGap = playVudio.getBoundingClientRect().top;
@@ -937,7 +981,7 @@
          playVudio.requestPictureInPicture();
        }
      }
    }
    },
  },
  components: {
    pageHeader,

 src/components/examinations/index.vue

@@ -38,7 +38,7 @@
              <p
                class="titleText text-fl"
                v-if="
                  value.stemStyle == 'Txt' && value.questionType != 'completion'
                  value.stemStyle == 'Txt' && value.questionType != 'completion' &&  value.questionType !='dropdown'
                "
                :id="value.id"
                v-html="value.stem.stemTxt"
@@ -73,6 +73,7 @@
                  <span
                    v-if="typeof itemText == 'string'"
                    v-html="itemText"
                    class="input-txt"
                  ></span>
                  <input
                    v-else
@@ -91,6 +92,33 @@
                v-html="value.stem.stemTxt"
                v-cloak
              ></p>
              <!-- 下拉选择题 -->
              <p class="titleText" v-if="value.questionType == 'dropdown'">
                <span
                  v-for="(itemText, indexText) in value.stem"
                  :key="indexText + 'questionType'"
                >
                  <span
                    v-if="typeof itemText == 'string'"
                    v-html="itemText"
                    class="input-txt"
                  ></span>
                  <el-select 
                    v-else 
                    v-model="value.userAnswer" 
                    :disabled="value.isComplete"
                  >
                    <el-option 
                      v-for="citem in value.option"
                      :key="citem.index"
                      :label="citem.txt"
                      :value="citem.value"
                    >

                    </el-option>
                  </el-select>
                </span>
              </p>
            </div>
            <img
              :src="value.isCollect ? isHeart : heart"
@@ -657,9 +685,9 @@
            }
          } else if (
            citem.questionType == "singleChoice" ||
            citem.questionType == "judge"
            citem.questionType == "judge" || 
            citem.questionType == 'dropdown'
          ) {
            if (citem.id == "63825") console.log("i", item);
            citem.isRight = citem.answer == citem.userAnswer;
          } else if (citem.questionType == "shortAnswer") {
            // 简答 翻译
@@ -869,6 +897,12 @@
</script>


<style lang="less" >
  .titleText img {
    max-width: 80%;
  }
</style>

<style lang="less" scoped>
.catalogName {
  text-indent: 1em !important;
@@ -1021,11 +1055,14 @@
      font-size: 16px;
      line-height: 32px;
      color: #000;

      .input-txt {
        display: flex;
        flex-wrap: wrap;
        align-items: center;
      }
      span {
        display: inline-block;
        font-size: 16px;
        // line-height: 26px;
        color: #000;
        font-weight: 400;
        margin-top: 6px;