数学题目

闫增涛

2024-10-12 27cb2a0c8d0c5414821e92782bc8d133db856d0c

数学题目

 src/App.vue

@@ -67,7 +67,7 @@
        process.env.VUE_APP_RESOURCE_CTX +
        (process.env.VUE_APP_ENV == "product"
          ? process.env.VUE_APP_BOOK_ID
          : "sportsAndHealth")
          : "mathBook")
      );
      // 测试试读30页
      // this.activeBook.tryPageCount = 10;

 src/books/mathBook/assets/main.less

@@ -623,6 +623,9 @@
        justify-content: center;
        font-weight: 600;
      }
      span {
        white-space: nowrap;
      }
    }
  }
  .page-header-odd {
@@ -838,6 +841,7 @@
  // 隐藏页面
  .hidePage {
    min-height: 0 !important;
    height: 0 !important;
  }
}


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

@@ -2079,7 +2079,7 @@
    <div class="page-box" page="31">
      <div v-if="showPageList.indexOf(31) > -1">
        <ul class="page-header-odd fl al-end">
          <li>024</li>
          <li>024-025</li>
          <li>数学.基础模块</li>
          <li>上册</li>
        </ul>
@@ -2094,18 +2094,6 @@
    </div>
    <!-- 025 -->
    <div class="page-box hidePage" page="32">
      <div v-if="showPageList.indexOf(32) > -1">
        <ul class="page-header-box">
          <li>
            <p>第一单元 集合</p>
          </li>
          <li>
            <p><span>025</span></p>
          </li>
        </ul>
        <div class="padding-116">
        </div>
      </div>
    </div>
    <!-- 026 -->
    <div class="page-box" page="33">
@@ -2229,100 +2217,20 @@
            <p>第一单元 集合</p>
          </li>
          <li>
            <p><span>029</span></p>
            <p><span>029-030</span></p>
          </li>
        </ul>

        <div class="padding-116">
          <h2 id="c031">单元检测<span class="fontsz2"> ＞＞＞＞＞＞</span></h2>

          <div class="bj">
            <p>
              <span class="bj-sp">水平一</span>
            </p>

            <div class="textIndentation">
              1.选择题.
              <p>（1） 下列表示方法正确的是（　）.</p>
              <p>A.{a}∈{a，b，c}</p>
              <p>B.0∈∅</p>
              <p>C.N+⫋N</p>
              <p>D.{x|x是无限小数}={x|x是无理数}</p>
              <p>
                （2） 方程（x2+1）（x-2）（x-3）=0的解集表示不正确的是（　）.
              </p>
              <p>A.{2，3}</p>
              <p>B.{3，2}</p>
              <p>C.{x|（x2+1）（x-2）（x-3）=0}</p>
              <p>D.{（2，3）}</p>
              <p>
                （3） 设全集为N，集合M={x∈N|x≥8}，则∁NM中元素的个数为（　）.
              </p>
              <p>A.7个</p>
              <p>B.8个</p>
              <p>C.9个</p>
              <p>D.无限多个</p>
              <p>（4） 集合{x∈N|-1＜x≤2}的真子集的个数是（　）.</p>
              <p>A.15个</p>
              <p>B.16个</p>
              <p>C.7个</p>
              <p>D.8个</p>
              <p>
                （5）
                已知全集U={x∈N+|-2＜x＜9}，集合M={3，4，5}，P={1，3，6}，则{2，7，8}是（　）.
              </p>
              <p>A.M∪P</p>
              <p>B.M∩P</p>
              <p>C.（∁UM）∪（∁UP）</p>
              <p>D.（∁UM）∩（∁UP）</p>
            </div>

            <p>
              2.已知全集为R，集合A={x|x≥1}，B={x|0≤x＜3}，则A∪B=____，A∩B=____，∁R（A∪B）=____，∁R（A∩B）=____.
            </p>
            <p>
              3.已知集合A={2，4，5，9，11}，B={1，3，5，7，9}，则A∪B=____，A∩B=____.
            </p>
            <p>
              4.设全集U=R，集合A={x|x＜-1}，B={x|-3≤x＜3}，求A∩B，A∪B，∁UA，∁UB，（∁UA）∩（∁UB），∁U（A∪B），（∁UA）∪（∁UB），∁U（A∩B）.
            </p>
            <examinations :cardList="questionData[36]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
            v-if="questionData" ></examinations>
          </div>
        </div>
      </div>
    </div>
    <!-- 030 -->
    <div class="page-box" page="37">
      <div v-if="showPageList.indexOf(37) > -1">
        <ul class="page-header-odd fl al-end">
          <li>030</li>
          <li>数学.基础模块</li>
          <li>上册</li>
        </ul>

        <div class="padding-116">
          <div class="bj">
            <p>
              <span class="bj-sp">水平二</span>
            </p>

            <p>1.已知集合A={-4，x2}，B={x-1，9}，求满足下列条件的x的值.</p>
            <p>（1） 9∈A∩B；（2） {9}=A∩B.</p>
            <p>2.集合M={x|ax2+2x+1=0}只有一个元素，写出由a的值组成的集合.</p>
            <p>
              3.设集合A={x|-4＜x＜2}，B={x|-m-1＜x＜m-1，m＞0}，求分别满足下列条件的m的取值的集合.
            </p>
            <p>（1） A⊆B；（2） A∩B=∅.</p>
            <p>4.已知集合A={x|x2-3x+2=0}，B={x|x2-ax+a-1=0}.</p>
            <p>（1） 用列举法表示集合A，B；</p>
            <p>（2） 如果A=B，求a的值.</p>
            <p>
              5.已知全集U={x|x是不大于20的质数}，A⊆U，B⊆U，且A∩（∁UB）={3，5}，B∩（∁UA）={7，19}，（∁UA）∩（∁UB）={2，17}.
            </p>
            <p>（1） 用Venn 图表示已知条件中集合之间的关系；</p>
            <p>（2） 求集合A和B.</p>
          </div>
        </div>
      </div>
    <div class="page-box hidePage" page="37">
    </div>

    <!-- 函数控件弹窗 -->
@@ -2521,7 +2429,6 @@

<script>
import examinations from '@/components/examinations/index.vue'
// import graffiti from '@/components/graffiti/index.vue'
import { getResourcePath } from '@/assets/methods/resources'
import {
  getCollectResource,

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

@@ -67,7 +67,6 @@
        </div>
      </div>
    </div>

    <!-- 033 -->
    <div class="page-box" page="40">
      <div v-if="showPageList.indexOf(40) > -1">
@@ -226,7 +225,6 @@
        </div>
      </div>
    </div>

    <!-- 034 -->
    <div class="page-box" page="41">
      <div v-if="showPageList.indexOf(41) > -1">
@@ -270,8 +268,10 @@
                <img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
              </p>
            </div>
            <p class="block">请你自己尝试证明推论2和推论3，并与同学进行交流讨论.</p>
            <examinations :cardList="questionData[41]" :hideCollect="true" sourceType="json" 
            v-if="questionData" ></examinations>
          </div>

          <p>
            <span class="zt-ls"><b>例1</b></span>　已知<i>a</i>＞<i>b</i>＞0.
          </p>
@@ -719,94 +719,8 @@
              </mfrac>
            </math>.
          </p>
          <div class="bk-hzjl">
            <div class="bj1-hzjl">
              <p class="left">
                <img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
              </p>
            </div>
            <p class="block">
              1.例2中，如果<i>a</i>，<i>b</i>，<i>c</i>是任意不等于0的数，能否得出<math display="0">
                <mfrac>
                  <mrow>
                    <mi>a</mi>
                    <mo>+</mo>
                    <mi>c</mi>
                  </mrow>
                  <mrow>
                    <mi>b</mi>
                    <mo>+</mo>
                    <mi>c</mi>
                  </mrow>
                </mfrac>
                <mo>＞</mo>
                <mfrac>
                  <mi>a</mi>
                  <mi>b</mi>
                </mfrac>
              </math>的结论？ 如果能，请写出证明过程；如果不能，请举出反例.
            </p>
            <p class="block">
              2.本单元开篇的实例中，设窗户的有效透光面积为<i>a</i>，室内地面面积为<i>b</i>.若<i>a</i>，<i>b</i>同时增加<i>m</i>，能保证<math display="0">
                <mfrac>
                  <mrow>
                    <mi>a</mi>
                    <mo>+</mo>
                    <mi>m</mi>
                  </mrow>
                  <mrow>
                    <mi>b</mi>
                    <mo>+</mo>
                    <mi>m</mi>
                  </mrow>
                </mfrac>
                <mo>≥</mo>
                <mfrac>
                  <mi>a</mi>
                  <mi>b</mi>
                </mfrac>
              </math>吗？你能证明吗？
            </p>
          </div>
          <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
          <div class="bj">
            <p>1.比较下列一组数的大小.</p>
            <p>
              <math display="0">
                <mfrac>
                  <mn>9</mn>
                  <mn>8</mn>
                </mfrac>
              </math>，-3，<math display="0">
                <mfrac>
                  <mn>10</mn>
                  <mn>9</mn>
                </mfrac>
              </math>，-π.
            </p>
            <p>2.用“＞”或“＜”填空.</p>
            <p>
              （1） <i>a</i>-1__<i>a</i>+1；（2） 若<i>a</i>＞<i>b</i>＞0，则<math display="0">
                <mfrac>
                  <mn>3</mn>
                  <mi>a</mi>
                </mfrac>
              </math>__<math display="0">
                <mfrac>
                  <mn>3</mn>
                  <mi>b</mi>
                </mfrac>
              </math>.
            </p>
            <p>
              3.比较<i>x</i><sup>2</sup>-<i>x</i>与（<i>x</i>+1）（<i>x</i>-2）
              的大小.
            </p>
            <p>
              4.我们知道， 如果在一杯糖水中继续加入一些糖， 那么待糖全部溶解后，
              这杯糖水就会变得更甜.你能借助不等式的知识来解释其中的道理吗？
            </p>
          </div>
          <examinations :cardList="questionData[43]" :hideCollect="true" sourceType="json" 
          v-if="questionData" ></examinations>
        </div>
      </div>
    </div>
@@ -823,104 +737,8 @@
        </ul>
        <div class="padding-116">
          <h3 id="c014">习题2.1<span class="fontsz2">＞＞＞</span></h3>
          <p>
            <span class="bj-sp"><b>水平一</b></span>
          </p>
          <p>1.比较下列各组数的大小.</p>
          <p>
            （1）
            <math display="0">
              <mo>−</mo>
              <mfrac>
                <mn>5</mn>
                <mn>6</mn>
              </mfrac>
            </math>与<math display="0">
              <mo>−</mo>
              <mfrac>
                <mn>4</mn>
                <mn>5</mn>
              </mfrac>
            </math>；（2）
            <math display="0">
              <mfrac>
                <mn>90</mn>
                <mn>165</mn>
              </mfrac>
            </math>与<math display="0">
              <mfrac>
                <mn>98</mn>
                <mn>173</mn>
              </mfrac>
            </math>.
          </p>
          <p>
            2.设<math display="0">
              <mi>a</mi>
              <mo>=</mo>
              <mfrac>
                <mn>7</mn>
                <mn>2</mn>
              </mfrac>
            </math>，<i>b</i>=3，<i>c</i>=2，比较下列一组数的大小，并在数轴上排列出来：<i>ab</i>，<i>bc</i>，<i>ca</i>，<i>a</i><sup>2</sup>，<i>b</i><sup>2</sup>，<i>c</i><sup>2</sup>.
          </p>
          <p>
            3.比较（<i>x</i>+1）（<i>x</i>+5） 与（<i>x</i>+3）<sup>2</sup>的大小.
          </p>
          <p>4.比较<i>x</i><sup>2</sup>-2<i>x</i>与-5的大小.</p>
          <p>5.比较3<i>a</i>与2<i>a</i>+1的大小.</p>
          <p>
            <span class="bj-sp"><b>水平二</b></span>
          </p>
          <p>
            1.若<i>a</i>＞<i>b</i>，<i>c</i>＞<i>d</i>，则下列不等关系中<span class="u">不一定</span>成立的是（　）.
          </p>
          <p>
            <i>A</i>.<i>a</i>-<i>b</i>＞<i>d</i>-<i>c B</i>.<i>a</i>+<i>d</i>＞<i>b</i>+<i>c
              C</i>.<i>a</i>-<i>c</i>＞<i>b</i>-<i>c D</i>.<i>a</i>-<i>c</i>＜<i>a</i>-<i>d</i>
          </p>
          <p>2.比较<i>a</i>（<i>a</i>-2）+1与（<i>a</i>+1）<sup>2</sup>的大小.</p>
          <p>3.分别举一个反例，说明下列推理不正确.</p>
          <p>
            （1） <i>ac</i>＞<i>bc</i>⇒<i>a</i>＞<i>b</i>；（2）
            <math display="0">
              <mfrac>
                <mi>a</mi>
                <mi>c</mi>
              </mfrac>
              <mo>＞</mo>
              <mfrac>
                <mi>b</mi>
                <mi>c</mi>
              </mfrac>
              <mo stretchy="false">⇒</mo>
              <mi>a</mi>
              <mo>＞</mo>
              <mi>b</mi>
            </math>.
          </p>
          <p>
            4.已知<i>a</i>＞<i>b</i>＞<i>c</i>＞<i>d</i>，比较<math display="0">
              <mfrac>
                <mn>1</mn>
                <mrow>
                  <mi>a</mi>
                  <mo>−</mo>
                  <mi>d</mi>
                </mrow>
              </mfrac>
            </math>与<math display="0">
              <mfrac>
                <mn>1</mn>
                <mrow>
                  <mi>b</mi>
                  <mo>−</mo>
                  <mi>c</mi>
                </mrow>
              </mfrac>
            </math>的大小.
          </p>
          <p>5.比较<i>a</i><sup>2</sup>+<i>a</i>与2<i>a</i>-1的大小.</p>
          <examinations :cardList="questionData[44]" :hideCollect="true" sourceType="json" 
          v-if="questionData" ></examinations>
          <h2 id="b008">2.2 区间<span class="fontsz1">＞＞＞＞＞＞＞＞</span></h2>
          <div class="bk">
            <div class="bj1">
@@ -1166,46 +984,6 @@
              （1） <i>M</i>∪<i>P</i>，<i>M</i>∩<i>P</i>；（2） ∁<i><sub><b>R</b></sub>M</i>，∁<i><sub><b>R</b></sub>P</i>.
            </p>
          </div>
          <h3 id="c015">习题2.2<span class="fontsz2">＞＞＞</span></h3>
          <div class="bj">
            <p>
              <span class="bj-sp"><b>水平一</b></span>
            </p>
            <p>1.集合{<i>x</i>|0＜<i>x</i>≤2}用区间表示为（　）.</p>
            <p>
              <i>A</i>.（0，2） <i>B</i>.［0，2］ <i>C</i>.（0，2］
              <i>D</i>.［0，2）
            </p>
            <p>2.解集是区间 ［2，+∞）的不等式是（　）.</p>
            <p>
              <i>A</i>.2<i>x</i>-4＞0 <i>B</i>.3<i>x</i>-6≥0 <i>C</i>.4<i>x</i>≥2<i>x D</i>.3<i>x</i>-6≤0
            </p>
            <p>3.集合{<i>x</i>|<i>x</i>＞1}用区间表示为________.</p>
            <p>4.已知区间<i>A</i>=［1，2］，<i>B</i>=（3，4），则π属于哪个区间？</p>
            <p>
              5.设<b>R</b>为全集，集合<i>M</i>={<i>x</i>|3<i>x</i>＞4}，<math display="0">
                <mi>P</mi>
                <mo>=</mo>
                <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>
                  <msqrt>
                    <mn>2</mn>
                  </msqrt>
                  <mo data-mjx-texclass="CLOSE">}</mo>
                </mrow>
              </math>，用区间表示下列集合.
            </p>
            <p>
              （1） ∁<i><sub><b>R</b></sub>M</i>，∁<i><sub><b>R</b></sub>P</i>；（2） <i>M</i>∪<i>P</i>，<i>M</i>∩<i>P</i>.
            </p>

          </div>
        </div>
      </div>
    </div>
@@ -1221,33 +999,9 @@
          </li>
        </ul>
        <div class="padding-116">
          <div class="bj">
            <p>
              <span class="bj-sp"><b>水平二</b></span>
            </p>
            <p>1.用符号“⊆”“⊇”或“≠”填空.</p>
            <p>（1） ［1，2］____（3，4）；</p>
            <p>（2） ［0，2］____（0，2）；</p>
            <p>（3）（-∞，0］____［-100，0）.</p>
            <p>
              2.已知区间<i>A</i>=[0，<i>a</i>]，<i>B</i>=[0，15]，且<i>A</i>⫋<i>B</i>，求<i>a</i>所在的区间.
            </p>
            <p>
              3.设<b>R</b>为全集，集合<i>M</i>={<i>x</i>|2<i>x</i>＞<i>x</i>+3}，<i>P</i>={<i>x</i>|-1≤<i>x</i>≤2}，用区间表示下列集合.
            </p>
            <p>
              （1） ∁<i><sub><b>R</b></sub>M</i>，∁<i><sub><b>R</b></sub>P</i>；
            </p>
            <p>（2） <i>M</i>∪<i>P</i>，<i>M</i>∩<i>P</i>；</p>
            <p>
              （3）
              ∁<i><sub><b>R</b></sub></i>（<i>M</i>∩<i>P</i>），（∁<i><sub><b>R</b></sub>M</i>）∪（∁<i><sub><b>R</b></sub>P</i>）；
            </p>
            <p>
              （4）
              ∁<i><sub><b>R</b></sub></i>（<i>M</i>∪<i>P</i>），（∁<i><sub><b>R</b></sub>M</i>）∩（∁<i><sub><b>R</b></sub>P</i>）.
            </p>
          </div>
          <h3 id="c015">习题2.2<span class="fontsz2">＞＞＞</span></h3>
          <examinations :cardList="questionData[47]" :hideCollect="true" sourceType="json"
            v-if="questionData" ></examinations>
          <h2 id="b009">
            2.3 一元二次不等式<span class="fontsz1">＞＞＞＞＞＞＞＞</span>
          </h2>
@@ -1436,6 +1190,8 @@
          <li>上册</li>
        </ul>
        <div class="padding-116">
          <examinations :cardList="questionData[51]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
          v-if="questionData" ></examinations>
          <p class="center"><img class="img-c" alt="" src="../../assets/images/0055-1.jpg" /></p>
          <p class="img">图2-3</p>
          <p>
@@ -1521,7 +1277,8 @@
                <img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
              </p>
            </div>
            <p class="block">同学互相交流如何画二次函数的简图.</p>
            <examinations :cardList="questionData[51]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
            v-if="questionData" ></examinations>
          </div>
          <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
          <div class="bj">
@@ -1805,20 +1562,9 @@
            <p><span>047</span></p>
          </li>
        </ul>

        <div class="padding-116">
          <p class="img">续表</p>
          <p class="center"><img class="img-a" alt="" src="../../assets/images/0058-1.jpg" /></p>
          <div class="bk-hzjl">
            <div class="bj1-hzjl">
              <p class="left">
                <img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
              </p>
            </div>
            <p class="block">
              表2-5中要求<i>a</i>＞0，如果<i>a</i>＜0，应该怎样分析呢？请结合具体的例子进行思考，并将你的发现与同学进行交流讨论.
            </p>
          </div>
          <p class="left"><img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" /></p>
          <p>
            一般地，与二次函数<i>y</i>=<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>（<i>a</i>＞0）对应的一元二次不等式有四种情形，分别是<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>＞0，<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>≥0，<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>＜0，<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>≤0.利用二次函数<i>y</i>=<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>（<i>a</i>＞0）的图像求解相应的一元二次不等式，可以分为三步.
@@ -1830,13 +1576,9 @@
            第二步：画出二次函数<i>y</i>=<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>的简图.
          </p>
          <p>第三步：观察简图，写出不等式的解集.</p>
          <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
          <div class="bj">
            <p>利用二次函数的图像解下列一元二次不等式.</p>
            <p>
              （1） <i>x</i><sup>2</sup>-9＞0；（2） <i>x</i><sup>2</sup>+4<i>x</i>＜0；（3） <i>x</i><sup>2</sup>≤4；
            </p>

            <examinations :cardList="questionData[54]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
            v-if="questionData" ></examinations>
          </div>
        </div>
      </div>
@@ -2054,12 +1796,8 @@
          <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
          <div class="bj">
            <p>解下列一元二次不等式.</p>
            <p>
              （1）（<i>x</i>+2）（<i>x</i>-3）≥0；（2）（5-<i>x</i>）（4+<i>x</i>）＞0；
            </p>
            <p>
              （3）（<i>x</i>-1）<sup>2</sup>≤100；（4）（<i>x</i>+5）<sup>2</sup>＞36.
            </p>
            <examinations :cardList="questionData[56]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
            v-if="questionData" ></examinations>
          </div>
        </div>
      </div>
@@ -2075,67 +1813,8 @@
        <div class="padding-116">
          <h3 id="c019">习题2.3<span class="fontsz2">＞＞＞</span></h3>
          <div class="bj">
            <p>
              <span class="bj-sp"><b>水平一</b></span>
            </p>
            <p>1.选择题.</p>
            <p>（1） 下列四个不等式，其中解集为<b>R</b>的是（　）.</p>
            <p>
              ①-<i>x</i><sup>2</sup>+<i>x</i>+1≥0； ②<i>x</i><sup>2</sup>-5<i>x</i>+5＞0；
            </p>
            <p>
              ③<i>x</i><sup>2</sup>+6<i>x</i>+10＞0； ④2<i>x</i><sup>2</sup>-3<i>x</i>+4＜1.
            </p>
            <p>A.④</p>
            <p>B.③</p>
            <p>C.②</p>
            <p>D.①</p>
            <p>（2） 不等式<i>x</i><sup>2</sup>-2<i>x</i>+1＞0的解集是（　）.</p>
            <p>A.（-∞，+∞）</p>
            <p>B.（-∞，0）∪（0，+∞）</p>
            <p>C.（0，+∞）</p>
            <p>D.（-∞，1）∪（1，+∞）</p>
            <p>2.填空题.</p>
            <p>（1） 不等式<i>x</i><sup>2</sup>+3<i>x</i>+2＞0的解集是________；</p>
            <p>（2） 不等式<i>x</i>（<i>x</i>-1）＜1的解集是________.</p>
            <p>3.求下列一元二次不等式的解集.</p>
            <p>
              （1） <i>x</i><sup>2</sup>＜2；（2） <i>x</i><sup>2</sup>＞5；（3）
              <i>x</i><sup>2</sup>＞<i>x</i>；
            </p>
            <p>
              （4） <i>x</i><sup>2</sup>＜2<i>x</i>；（5） <i>x</i><sup>2</sup>＞3<i>x</i>；（6） <i>x</i><sup>2</sup>≤4<i>x</i>.
            </p>
            <p>4.解下列一元二次不等式.</p>
            <p>
              （1） <i>x</i><sup>2</sup>+5<i>x</i>-6＞0；（2） <i>x</i><sup>2</sup>+4<i>x</i>-5＜0；
            </p>
            <p>
              （3） -<i>x</i><sup>2</sup>+4<i>x</i>-4≤0；（4） -<i>x</i><sup>2</sup>+3<i>x</i>＞0；
            </p>
            <p>
              （5） -3<i>x</i><sup>2</sup>+2<i>x</i>-1＞0；（6）（2-3<i>x</i>）（2<i>x</i>+1）＞2.
            </p>
            <p>
              <span class="bj-sp"><b>水平二</b></span>
            </p>
            <p>1.选择题.</p>
            <p>
              （1）
              已知集合<i>M</i>={<i>x</i>|<i>x</i><sup>2</sup>-3<i>x</i>-28≤0}，<i>P</i>={<i>x</i>|<i>x</i><sup>2</sup>-<i>x</i>-6＞0}，则<i>M</i>∩<i>P</i>=（　）.
            </p>
            <p>A.［-4，-2）∪（3，7］</p>
            <p>B.（-4，-2］∪［3，7）</p>
            <p>C.（-∞，-2］∪（3，+∞）</p>
            <p>D.（-∞，-2）∪［3，+∞）</p>
            <p>（2） 下列不等式中，解集为（2，3］的是（　）.</p>
            <p>A.（<i>x</i>-3）（2-<i>x</i>）＞0</p>
            <p>B.（<i>x</i>-3）（2-<i>x</i>）≥0</p>
            <p>C.<i>x</i><sup>2</sup>-5<i>x</i>+6≤0</p>
            <p>D.0＜<i>x</i>-2≤1</p>
            <p>
              2.如果不等式<i>x</i><sup>2</sup>-<i>ax</i>+1＞0的解集是（-∞，+∞），求<i>a</i>的取值范围.
            </p>
            <examinations :cardList="questionData[57]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
            v-if="questionData" ></examinations>
          </div>
        </div>
      </div>
@@ -2421,26 +2100,8 @@
              </mrow>
            </math>.
          </p>
          <div class="bk-hzjl">
            <div class="bj1-hzjl">
              <p class="left">
                <img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
              </p>
            </div>
            <p class="block">
              1.仿照上面的分析，你能列出|<i>x</i>|＜<i>a</i>（<i>a</i>＞0）和|<i>x</i>|≥<i>a</i>（<i>a</i>＞0）
              的解的情况吗？将你的发现与同学交流讨论.
            </p>
            <p class="block">
              2.如果把<i>a</i>＞0改为<i>a</i>＜0或者<i>a</i>=0，你能对上述不等式进行分析和求解吗？将你的发现与同学交流讨论.
            </p>
          </div>
          <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
          <div class="bj">
            <p>解下列不等式.</p>
            <p>（1） |<i>x</i>|≥2；（2） |<i>x</i>|≤3；</p>
            <p>（3） |2<i>x</i>|＜3；（4） |6<i>x</i>|＞8.</p>
          </div>
          <examinations :cardList="questionData[60]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
          v-if="questionData" ></examinations>
          <h3 id="c021">
            2.4.2
            |<i>ax</i>+<i>b</i>|＜<i>c</i>和|<i>ax</i>+<i>b</i>|＞<i>c</i>（<i>c</i>＞0）的解法<span class="fontsz2">＞＞＞</span>
@@ -2477,7 +2138,6 @@
          <li>数学.基础模块</li>
          <li>上册</li>
        </ul>

        <div class="padding-116">
          <p>由|2<i>x</i>-1|＜3得-3＜2<i>x</i>-1＜3，</p>
          <p>即　-2＜2<i>x</i>＜4，</p>
@@ -2513,27 +2173,8 @@
          <p>所以不等式的解集是［-2，0］.</p>
          <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
          <div class="bj">
            <p>1.解下列不等式.</p>
            <p>（1） |<i>x</i>+1|≥2；（2） |<i>x</i>-1|≤3；</p>
            <p>（3） |<i>x</i>-2|＜3；（4） |<i>x</i>+3|＞8.</p>
            <p>2.解下列不等式.</p>
            <p>
              （1） |3<i>x</i>-1|≤2；（2）
              <math display="0">
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">|</mo>
                  <mfrac>
                    <mn>1</mn>
                    <mn>3</mn>
                  </mfrac>
                  <mi>x</mi>
                  <mo data-mjx-texclass="CLOSE">|</mo>
                </mrow>
                <mo>＞</mo>
                <mn>2</mn>
              </math>；
            </p>
            <p>（3） |2<i>x</i>-2|≥7；（4） |1-3<i>x</i>|＞2.</p>
            <examinations :cardList="questionData[61]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
            v-if="questionData" ></examinations>
          </div>
        </div>
      </div>
@@ -2552,203 +2193,8 @@
        <div class="padding-116">
          <h3 id="c022">习题2.4<span class="fontsz2">＞＞＞</span></h3>
          <div class="bj">
            <p>
              <span class="bj-sp"><b>水平一</b></span>
            </p>
            <p>
              1.在数轴上，满足方程|<i>x</i>-3|=1的<i>x</i>对应的点到原点的距离是（　）.
            </p>
            <p>A.4</p>
            <p>B.2</p>
            <p>C.4或2</p>
            <p>D.0</p>
            <p>2.不等式|5<i>x</i>|＜3的解集用区间表示是（　）.</p>
            <p>
              A.<math display="0">
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">(</mo>
                  <mo>−</mo>
                  <mi mathvariant="normal">∞</mi>
                  <mo>，</mo>
                  <mfrac>
                    <mn>3</mn>
                    <mn>5</mn>
                  </mfrac>
                  <mo data-mjx-texclass="CLOSE">)</mo>
                </mrow>
              </math>
            </p>
            <p>
              B.<math display="0">
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">(</mo>
                  <mo>−</mo>
                  <mfrac>
                    <mn>3</mn>
                    <mn>5</mn>
                  </mfrac>
                  <mo>，</mo>
                  <mo>+</mo>
                  <mi mathvariant="normal">∞</mi>
                  <mo data-mjx-texclass="CLOSE">)</mo>
                </mrow>
              </math>
            </p>
            <p>
              C.<math display="0">
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">(</mo>
                  <mo>−</mo>
                  <mfrac>
                    <mn>3</mn>
                    <mn>5</mn>
                  </mfrac>
                  <mo>，</mo>
                  <mfrac>
                    <mn>3</mn>
                    <mn>5</mn>
                  </mfrac>
                  <mo data-mjx-texclass="CLOSE">)</mo>
                </mrow>
              </math>
            </p>
            <p>
              D.<math display="0">
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">(</mo>
                  <mo>−</mo>
                  <mi mathvariant="normal">∞</mi>
                  <mo>，</mo>
                  <mo>−</mo>
                  <mfrac>
                    <mn>3</mn>
                    <mn>5</mn>
                  </mfrac>
                  <mo data-mjx-texclass="CLOSE">)</mo>
                </mrow>
                <mo>∪</mo>
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">(</mo>
                  <mfrac>
                    <mn>3</mn>
                    <mn>5</mn>
                  </mfrac>
                  <mo>，</mo>
                  <mo>+</mo>
                  <mi mathvariant="normal">∞</mi>
                  <mo data-mjx-texclass="CLOSE">)</mo>
                </mrow>
              </math>
            </p>
            <p>
              3.在数轴上，<i>x</i>对应的点<i>P</i>与<i>y</i>对应的点<i>Q</i>之间的距离为______.
            </p>
            <p>4.不等式|1-3<i>x</i>|＞1的解集用区间表示为______.</p>
            <p>
              <span class="bj-sp"><b>水平二</b></span>
            </p>
            <p>解下列不等式.</p>
            <p>
              （1）<math display="0">
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">|</mo>
                  <mfrac>
                    <mrow>
                      <mn>1</mn>
                      <mo>−</mo>
                      <mn>3</mn>
                      <mi>x</mi>
                    </mrow>
                    <mn>3</mn>
                  </mfrac>
                  <mo data-mjx-texclass="CLOSE">|</mo>
                </mrow>
                <mo>＞</mo>
                <mn>1</mn>
              </math>；（2）<math display="0">
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">|</mo>
                  <mfrac>
                    <mn>1</mn>
                    <mn>2</mn>
                  </mfrac>
                  <mo>−</mo>
                  <mn>3</mn>
                  <mi>x</mi>
                  <mo data-mjx-texclass="CLOSE">|</mo>
                </mrow>
                <mo>≥</mo>
                <mn>3</mn>
              </math>；（3）<math display="0">
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">|</mo>
                  <mn>2</mn>
                  <mi>x</mi>
                  <mo>−</mo>
                  <mfrac>
                    <mn>1</mn>
                    <mn>3</mn>
                  </mfrac>
                  <mo data-mjx-texclass="CLOSE">|</mo>
                </mrow>
                <mo>＜</mo>
                <mfrac>
                  <mn>1</mn>
                  <mn>2</mn>
                </mfrac>
              </math>；
            </p>
            <p>
              （4）<math display="0">
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">|</mo>
                  <mfrac>
                    <mn>2</mn>
                    <mn>5</mn>
                  </mfrac>
                  <mi>x</mi>
                  <mo>−</mo>
                  <mn>2</mn>
                  <mo data-mjx-texclass="CLOSE">|</mo>
                </mrow>
                <mo>≥</mo>
                <mn>1</mn>
              </math>；（5）<math display="0">
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">|</mo>
                  <mfrac>
                    <mn>1</mn>
                    <mn>3</mn>
                  </mfrac>
                  <mi>x</mi>
                  <mo>−</mo>
                  <mrow data-mjx-texclass="INNER">
                    <mo data-mjx-texclass="OPEN">(</mo>
                    <mi>x</mi>
                    <mo>−</mo>
                    <mn>2</mn>
                    <mo data-mjx-texclass="CLOSE">)</mo>
                  </mrow>
                  <mo data-mjx-texclass="CLOSE">|</mo>
                </mrow>
                <mo>≤</mo>
                <mn>2</mn>
              </math>；（6）<math display="0">
                <mn>4</mn>
                <mo>≤</mo>
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">|</mo>
                  <mn>5</mn>
                  <mo>−</mo>
                  <mfrac>
                    <mn>2</mn>
                    <mn>3</mn>
                  </mfrac>
                  <mi>x</mi>
                  <mo data-mjx-texclass="CLOSE">|</mo>
                </mrow>
              </math>.
            </p>
            <examinations :cardList="questionData[62]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
            v-if="questionData" ></examinations>
          </div>
          <h2 id="b011">
            2.5 不等式的应用<span class="fontsz1">＞＞＞＞＞＞＞＞</span>
@@ -2845,9 +2291,8 @@
                <img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
              </p>
            </div>
            <p class="block">
              例2中，当<i>x</i>=__元时，利润最大，也就是说，降价__元，即定价__元时，利润最大，最大利润是__元，与同学进行交流.
            </p>
            <examinations :cardList="questionData[63]" :hideCollect="true" sourceType="json" 
            v-if="questionData" ></examinations>
          </div>
        </div>
      </div>
@@ -2863,20 +2308,13 @@
            <p><span>057</span></p>
          </li>
        </ul>

        <div class="padding-116">
          <p class="center"><img class="img-c" alt="" src="../../assets/images/0068-1.jpg" /></p>
          <p class="img">第2题图</p>
          <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
          <div class="bj">
            <p>
              1.某工厂生产一种产品的总利润<i>y</i>（万元）与产量<i>x</i>（kg
              ）满足函数关系：<i>y</i>=-<i>x</i><sup>2</sup>+300<i>x</i>-100，0＜<i>x</i>＜200.如果要使利润超过8
              000万元，那么产量应达到的范围是多少？
            </p>
            <p>
              2.用长度为8m的铝合金材料，做一个日字形两开窗，如图所示.要求窗户的面积不少于2m<sup>2</sup>.如何设计窗户的高度，才能满足要求？（日字形两开窗中间窗棂的宽度忽略不计）
            </p>
            <examinations :cardList="questionData[64]" :hideCollect="true" sourceType="json"
            v-if="questionData" ></examinations>
          </div>
          <h3 id="c024">
            2.5.2 不等式与复杂实际问题<span class="fontsz2">＞＞＞</span>
@@ -2999,135 +2437,21 @@
            <p>第二单元 不等式</p>
          </li>
          <li>
            <p><span>059</span></p>
            <p><span>059-060</span></p>
          </li>
        </ul>
        <div class="padding-116">
          <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
          <div class="bj">
            <p>
              如图，在运动会标枪项目中，运动员将标枪掷出后，设标枪在飞行过程中距离地面的高度为<i>y</i>（m），标枪飞出的水平距离为<i>x</i>（m），若<i>y</i>与<i>x</i>之间的关系是：
            </p>
            <math display="block">
              <mi>y</mi>
              <mo>=</mo>
              <mo>−</mo>
              <mfrac>
                <mn>1</mn>
                <mn>16</mn>
              </mfrac>
              <msup>
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">(</mo>
                  <mi>x</mi>
                  <mo>−</mo>
                  <mn>13</mn>
                  <mo data-mjx-texclass="CLOSE">)</mo>
                </mrow>
                <mrow>
                  <mn>2</mn>
                </mrow>
              </msup>
              <mo>+</mo>
              <mfrac>
                <mn>49</mn>
                <mn>4</mn>
              </mfrac>
              <mo>，</mo>
              <mn>0</mn>
              <mo>≤</mo>
              <mi>x</mi>
              <mo>≤</mo>
              <mn>27.</mn>
            </math>
            <p>问：标枪飞出的水平距离在什么范围时，标枪距离地面的高度超过3.75m？</p>
            <p class="center">
              <img class="img-c" alt="" src="../../assets/images/0070-2.jpg" />
            </p>
          </div>
          <h3 id="c025">习题2.5<span class="fontsz2">＞＞＞</span></h3>
          <div class="bj">
            <p>
              <span class="bj-sp"><b>水平一</b></span>
            </p>
            <p>
              1.一家快递仓库的地面为正方形，原有面积100
              m<sup>2</sup>，因业务量增加，现在需要在仓库增加一块长方形区域（如图所示）.如果希望扩建后仓库的总面积不小于300
              m<sup>2</sup>，那么<i>x</i>的范围是多少？
            </p>
            <p class="center">
              <img class="img-c" alt="" src="../../assets/images/0070-3.jpg" />
            </p>
            <p class="img">第1题图</p>
            <p class="center">
              <img class="img-c" alt="" src="../../assets/images/0070-4.jpg" />
            </p>
            <p class="img">第2题图</p>
            <p>
              2.某度假酒店计划设计一个小型户外游泳池，长6 m、宽3 m
              ，同时希望在游泳池四周设计宽度为<i>x</i>（m）的平台（如图所示）.如果平台的总面积不超过22
              m<sup>2</sup>，则<i>x</i>的范围是多少？
            </p>
            <p>
              3.某服装公司生产一种服装，利润<i>y</i>（元）与销售单价<i>x</i>（元）之间的关系是<i>y</i>=-10<i>x</i><sup>2</sup>+1 500<i>x</i>-50
              000，那么单价在什么范围时利润会大于零？
            </p>
            <examinations :cardList="questionData[66]" :hideCollect="true" sourceType="json"
            v-if="questionData" ></examinations>
          </div>
        </div>
      </div>
    </div>
    <!-- 060 -->
    <div class="page-box" page="67">
      <div v-if="showPageList.indexOf(67) > -1">
        <ul class="page-header-odd fl al-end">
          <li>060</li>
          <li>数学.基础模块</li>
          <li>上册</li>
        </ul>
        <div class="padding-116">
          <div class="bj">
            <p>
              4.某中等职业学校毕业生小孙到某公司应聘，公司要他为一个长3 m、宽2 m
              的工作台设计一块长方形台布，作为考核他的项目.具体要求是：台布的面积不超过台面面积的
              2
              倍，且使台布四边垂下的长度相等，如图所示.问：垂下的长度应该在什么范围内？
            </p>
            <p class="center">
              <img class="img-c" alt="" src="../../assets/images/0071-1.jpg" />
            </p>
            <p class="img">第4题图</p>
            <p>
              <span class="bj-sp"><b>水平二</b></span>
            </p>
            <p>
              1.某种鱼在出生后的40天内，身长<i>L</i>（cm ）
              与其出生的天数<i>x</i>（天） 满足下列函数关系：
            </p>
            <p class="center">
              <i>L</i>=0.002<i>x</i><sup>2</sup>+0.15<i>x</i>+2.3，0≤<i>x</i>≤40.
            </p>
            <p>问：该种鱼出生多少天时身长会在4～10 cm ？</p>
            <p>
              2.矮寨大桥是湖南省湘西土家族苗族自治州境内的高速通道，位于德夯大峡谷之上.大桥上的索缆和桥面的距离<i>y</i>（m）与索缆和大桥起点的水平距离<i>x</i>（m）满足<i>y</i>=0.000
              2（<i>x</i>-890）<sup>2</sup>+8，0≤<i>x</i>≤1
              780.大桥上有部分桥面上方的索缆距离桥面距离大于58
              m，那么这部分桥面的总长度是多少？
            </p>
            <p class="center">
              <img class="img-c" alt="" src="../../assets/images/0071-2.jpg" />
            </p>
            <p class="img">第2题图</p>
            <p>
              3.已有研究表明，小型汽车驾驶员对红绿灯变化的反应时间<i>y</i><sub>1</sub>（ms） 与驾驶员年龄<i>x</i>（周岁）
              的关系为<i>y</i><sub>1</sub>=0.005<i>x</i><sup>2</sup>-0.2<i>x</i>+22，18≤<i>x</i>≤70，对消防车警笛的反应时间<i>y</i><sub>2</sub>2（<i>ms</i>
              ） 与驾驶员年龄<i>x</i>（周岁） 的关系为<i>y</i><sub>2</sub>=0.005 1<i>x</i><sup>2</sup>-0.3<i>x</i>+15，18≤<i>x</i>≤70.
            </p>
            <p>
              问：哪个年龄段的驾驶员对红绿灯变化的反应时间要长于对消防车警笛的反应时间？
            </p>
          </div>
        </div>
      </div>
    <div class="page-box hidePage" page="67">
      
    </div>
    <!-- 061 -->
    <div class="page-box" page="68">
@@ -3532,11 +2856,10 @@
            <p><span>063</span></p>
          </li>
        </ul>

        <div class="padding-116">
          <h2 id="b013">单元小结<span class="fontsz1">＞＞＞＞＞＞＞＞</span></h2>
          <p class="bj2"><b>学习导图</b></p>
          <p class="center"><img class="img-c" alt="" src="../../assets/images/0074-1.jpg" /></p>
          <p class="center"><img class="img-a" alt="" src="../../assets/images/0074-1.jpg" /></p>
          <p class="bj2"><b>学习指导</b></p>
          <p>1.不等式的基本性质.</p>
          <p>（1） 比较数（式）的大小常用“作差比较法”.</p>
@@ -3638,139 +2961,26 @@
            <p>第二单元 不等式</p>
          </li>
          <li>
            <p><span>065</span></p>
            <p><span>065-066</span></p>
          </li>
        </ul>

        <div class="padding-116">
          <h2 id="b014">单元检测<span class="fontsz1">＞＞＞＞＞＞＞＞</span></h2>
          <div class="bj">
            <p>
              <span class="bj-sp"><b>水平一</b></span>
            </p>
            <p>1.选择题.</p>
            <p>（1） 不等式<i>x</i><sup>2</sup>-3<i>x</i>-10＞0的解集是（　）.</p>
            <p>A.<b>R</b></p>
            <p>B.∅</p>
            <p>C.（-∞，5）∪（5，+∞）</p>
            <p>D.（-∞，-2）∪（5，+∞）</p>
            <p>
              （2）
              设集合<i>A</i>={<i>x</i>|3<i>x</i>-2-<i>x</i><sup>2</sup>＜0}，<i>B</i>={<i>x</i>|<i>x</i>-<i>a</i>＜0}，若<i>B</i>⊆<i>A</i>，则<i>a</i>的取值范围是（　）.
            </p>
            <p>A.（-∞，1］</p>
            <p>B.［1，2］</p>
            <p>C.（2，+∞）</p>
            <p>D.（-∞，2］</p>
            <p>2.填空题.</p>
            <p>
              （1）
              若集合<i>A</i>={<i>x</i>|<i>x</i><sup>2</sup>-4<i>x</i>+3＜0}，<i>B</i>={<i>x</i>|（<i>x</i>-2）（<i>x</i>-5）＜0}，则<i>A</i>∩<i>B</i>=
              _________；
            </p>
            <p>
              （2） 若|<i>x</i>|＞<i>a</i><sup>2</sup>+1，则<i>x</i>的取值范围是______.
            </p>
            <p>3.解下列一元二次不等式.</p>
            <p>
              （1） 3<i>x</i><sup>2</sup>-2<i>x</i>-3≥0；（2） -<i>x</i><sup>2</sup>-2<i>x</i>+3≥0.
            </p>
            <p>
              4.求同时满足不等式<i>x</i><sup>2</sup>-2<i>x</i>＜8和<i>x</i><sup>2</sup>-2<i>x</i>≥3的整数解的集合.
            </p>
            <p>
              5.已知集合<i>A</i>={<i>x</i>||<i>x</i>-1|＜7}，<i>B</i>={<i>x</i>||<i>x</i>-3|＞4}，求<i>A</i>∩<i>B</i>.
            </p>
            <p>
              6.设不等式<math display="0">
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">|</mo>
                  <mfrac>
                    <mn>1</mn>
                    <mn>2</mn>
                  </mfrac>
                  <mi>x</mi>
                  <mo>+</mo>
                  <mn>1</mn>
                  <mo data-mjx-texclass="CLOSE">|</mo>
                </mrow>
                <mo>＜</mo>
                <mn>3</mn>
              </math>的解集为<i>A</i>，不等式（<i>x</i>+1）<sup>2</sup>-（<i>x</i>-1）<sup>2</sup>＞1的解集为<i>B</i>，求<i>A</i>∩<i>B</i>.
            </p>
            <p>
              7.某中等职业学校学生小王暑假在一家商店进行社会实践，经理请小王帮助解决一些销售问题.有一种商品的进价是40元/kg
              ，现在的售价是60元/kg ，每周可卖出300 kg
              .根据市场调查，该商品每涨价1元，每周要少卖出10 kg
              ；每降价1元，每周可多卖出20 kg
              .如果要对该商品涨价，那么涨价的范围是多少，才能使每周的利润不少于6
              240元？如果要对该商品降价，那么降价的范围是多少，才能使每周的利润不少于6
              240元？
            </p>
            <p>
              <span class="bj-sp"><b>水平二</b></span>
            </p>
            <p>
              1.已知两个圆的半径分别为2和3，圆心距<i>d</i>满足<i>d</i><sup>2</sup>-6<i>d</i>+5＜0，判断这两个圆的位置关系.
            </p>
            <examinations :cardList="questionData[72]" :hideCollect="true" sourceType="json"
            v-if="questionData" ></examinations>
          </div>
        </div>
      </div>
    </div>
    <!-- 066 -->
    <div class="page-box" page="73">
      <div v-if="showPageList.indexOf(73) > -1">
        <ul class="page-header-odd fl al-end">
          <li>066</li>
          <li>数学.基础模块</li>
          <li>上册</li>
        </ul>
        <div class="padding-116">
          <p class="center"><img class="img-c" alt="" src="../../assets/images/0077-1.jpg" /></p>
          <p class="img">第2题图</p>
          <div class="bj">
            <p>
              2.如图所示，要在边长为20
              m的正方形场地中心位置建一个正方形花圃，要使花圃的面积既不小于16
              m<sup>2</sup>，也不大于36
              m<sup>2</sup>，则花圃与正方形场地的对应边应相距多远？
            </p>
            <p>
              3.设全集为<b>R</b>，集合<i>A</i>={<i>x</i>||<i>x</i>|＜4}，<i>B</i>={<i>x</i>||<i>x</i>-2|≥1}，求（∁<i><sub><b>R</b></sub>A</i>）∩（∁<i><sub><b>R</b></sub>B</i>）.
            </p>
            <p>
              4.不等式|<i>x</i>-1|≤2与<i>ax</i><sup>2</sup>+<i>bx</i>-2≤0有相同的解集，求<i>a</i>，<i>b</i>的值.
            </p>
            <p>
              5.现新建一个圆形喷水池，要在池中心<i>O</i>竖直安装一根水管，在水管的顶端<i>A</i>安一个喷水头，使喷出的抛物线水柱在与池中心<i>O</i>的水平距离为1
              m处达到最高点<i>B</i>，高度为3
              m，且水柱落地处<i>C</i>与池中心<i>O</i>的水平距离为3 m，如图所示.
            </p>
            <p>
              （1）
              求水柱的高度<i>y</i>（m）与池中心<i>O</i>到水柱的水平距离<i>x</i>（m）的关系式，并画出其图像；
            </p>
            <p>（2） 求水管的高度<i>h</i>（m）；</p>
            <p>
              （3） 当水柱的高度不低于<math display="0">
                <mfrac>
                  <mn>3</mn>
                  <mn>4</mn>
                </mfrac>
              </math>m时，求这时池中心<i>O</i>到水柱的水平距离<i>x</i>的取值区间.
            </p>
            <p class="center">
              <img class="img-c" alt="" src="../../assets/images/0077-3.jpg" />
            </p>
            <p class="img">第5题图</p>
          </div>
        </div>
      </div>
    <div class="page-box hidePage" page="73">
    </div>
  </div>
</template>

<script>
import examinations from '@/components/examinations/index.vue'
export default {
  name: "",
  props: {
@@ -3778,14 +2988,14 @@
      type: Array,
      default: [],
    },
    questionData: {
      type: Object,
  },
  components: {},
  },
  components: {examinations},
  data() {
    return {};
  },
  computed: {},
  watch: {},
  created() { },
  mounted() { },
  methods: {},
};

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

@@ -145,12 +145,6 @@
          </div>
          <p class="center"><img class="img-c" alt="" src="../../assets/images/0082-2.jpg" /></p>
          <p class="img">图3-2</p>
          <div class="bk-hzjl">
            <div class="bj1-hzjl">
              <p class="left"><img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" /></p>
            </div>
            <p class="block">例2中，如何求<i>f</i>（<i>a</i>+1）和<i>f</i>（<i>f</i>（-2））的值？</p>
          </div>
          <p><span class="zt-ls"><b>例3</b></span>　如图3-2所示，一个边长是<i>a</i>的正方体，体积是<i>V</i>，写出体积<i>V</i> 随边长<i>a</i>
            变化的函数关系式，并指出函数的自变量和定义域.</p>
          <p><span class="zt-ls"><b>解</b></span> 体积<i>V</i> 随边长<i>a</i>变化的函数关系式是</p>
@@ -158,35 +152,8 @@
          <p>其中<i>a</i>是自变量，定义域为{<i>a</i>|<i>a</i>＞0}.</p>
          <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
          <div class="bj">
            <p>1.填空题.</p>
            <p>（1） 若函数<i>f</i>（<i>x</i>）=<i>x</i><sup>2</sup>-4<i>x</i>+3，则<i>f</i>（2）=____；</p>
            <p>（2） 若函数<math display="0">
                <mi>f</mi>
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">(</mo>
                  <mi>x</mi>
                  <mo data-mjx-texclass="CLOSE">)</mo>
                </mrow>
                <mo>=</mo>
                <msqrt>
                  <mn>2</mn>
                  <mi>x</mi>
                  <mo>+</mo>
                  <mn>3</mn>
                </msqrt>
              </math>，则<math display="0">
                <mi>f</mi>
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">(</mo>
                  <mfrac>
                    <mn>1</mn>
                    <mn>2</mn>
                  </mfrac>
                  <mo data-mjx-texclass="CLOSE">)</mo>
                </mrow>
                <mo>=</mo>
              </math>___，<i>f</i>（-1）=___，<i>f</i>（3）=____；</p>

            <examinations :cardList="questionData[78]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
            v-if="questionData" ></examinations>
          </div>
        </div>
      </div>
@@ -253,7 +220,6 @@
            <p><span>073</span></p>
          </li>
        </ul>

        <div class="padding-116">
          <p><span class="zt-ls"><b>解</b></span> 要使函数<i>y</i>=<i>x</i>（12-<i>x</i>）有实际意义，必须满足<math display="0">
              <mrow data-mjx-texclass="INNER">
@@ -434,51 +400,12 @@
          <p>所以函数<i>f</i>（<i>x</i>）的定义域是{<i>x</i>|<i>x</i>≥-2且<i>x</i>≠3}.</p>
          <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
          <div class="bj">
            <p>1.填空题.</p>
            <p>（1）低碳环保的新能源汽车逐渐走入千家万户，一辆新能源汽车以60 km/<i>h</i> 的速度在公路上匀速直线行驶，其行驶的路程<i>y</i>（km
              ）与行驶的时间<i>x</i>（h）之间的对应关系是_____，其定义域是_____.</p>
            <p>（2）盾构机是隧道挖掘的大国重器，自“中国中铁1号”盾构机面世以来，中国盾构机经历了从进口、模仿到自主研发的过程，并远销国外.盾构机的切盘是一个圆形.若圆的半径是<i>x</i>（cm
              ），面积是<i>y</i>（cm<sup>2</sup>），则圆的面积与半径之间的对应关系是_____，其定义域是_____.</p>
            <p>（3） 若函数<i>f</i>（<i>x</i>）=2<i>x</i>+3，<i>x</i>∈{0，1，2，3}，则这个函数的定义域是_____，值域是_____.</p>
            <p>2.求下列函数的定义域.</p>
            <p>（1）<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>
                    <mn>3</mn>
                    <mi>x</mi>
                    <mo>−</mo>
                    <mn>2</mn>
                  </mrow>
                </mfrac>
              </math>；（2） <math display="0">
                <mi>f</mi>
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">(</mo>
                  <mi>x</mi>
                  <mo data-mjx-texclass="CLOSE">)</mo>
                </mrow>
                <mo>=</mo>
                <msqrt>
                  <mn>8</mn>
                  <mo>−</mo>
                  <mn>2</mn>
                  <mi>x</mi>
                </msqrt>
              </math>；</p>

            <examinations :cardList="questionData[80]" :hideCollect="true" sourceType="json"
            v-if="questionData" ></examinations>
          </div>
        </div>
      </div>
    </div>

    <!-- 074 -->
    <div class="page-box" page="81">
      <div v-if="showPageList.indexOf(81) > -1">
@@ -488,115 +415,10 @@
          <li>上册</li>
        </ul>
        <div class="padding-116">
          <div class="bj">
            <p>（3） <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>
                  <mrow>
                    <mi>x</mi>
                    <mo>+</mo>
                    <mn>7</mn>
                  </mrow>
                  <mrow>
                    <msup>
                      <mi>x</mi>
                      <mrow>
                        <mn>2</mn>
                      </mrow>
                    </msup>
                    <mo>−</mo>
                    <mn>9</mn>
                  </mrow>
                </mfrac>
              </math>；（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>
                <msqrt>
                  <mn>1</mn>
                  <mo>−</mo>
                  <mi>x</mi>
                </msqrt>
                <mo>+</mo>
                <msqrt>
                  <mi>x</mi>
                  <mo>+</mo>
                  <mn>4</mn>
                </msqrt>
              </math>；</p>
            <p>（5） <math display="0">
                <mi>f</mi>
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">(</mo>
                  <mi>x</mi>
                  <mo data-mjx-texclass="CLOSE">)</mo>
                </mrow>
                <mo>=</mo>
                <msqrt>
                  <mn>3</mn>
                  <mi>x</mi>
                  <mo>−</mo>
                  <mn>6</mn>
                </msqrt>
                <mo>+</mo>
                <mfrac>
                  <mn>1</mn>
                  <mrow>
                    <mi>x</mi>
                    <mo>−</mo>
                    <mn>5</mn>
                  </mrow>
                </mfrac>
              </math>.</p>
            <p>
              3.某超市中某种饮料的售价是3元/瓶，小李手机微信钱包里现有100元，购买<i>x</i>瓶饮料后，微信钱包的余额是<i>y</i>元，<i>y</i>与<i>x</i>的对应关系是<i>y</i>=100-3<i>x</i>，求这个函数的定义域.
            </p>
          </div>
          <h3 id="c026">习题3.1<span class="fontsz2">＞＞＞</span></h3>
          <div class="bj">
            <p><span class="bj-sp"><b>水平一</b></span></p>
            <p>1.选择题.</p>
            <p>（1） 下列两个变量之间没有函数对应关系的是（　）.</p>
            <p>A.某天从0h到24 h 的气温<i>T</i>与时刻<i>t</i></p>
            <p>B.某人的体重与身高</p>
            <p>C.我国每年的人口总数与年份</p>
            <p>D.陈某第一学期的数学考试成绩与考试次数</p>
            <p>（2） 若<i>f</i>（<i>x</i>）=-<i>x</i><sup>2</sup>+1，则<i>f</i>（-3）=（　）.</p>
            <p>A.-8</p>
            <p>B.-5</p>
            <p>C.7</p>
            <p>D.10</p>
            <p>2.填空题.</p>
            <p>（1）
              某商场销售某品牌自行车50辆，每辆售价是300元，每天销售自行车的收入<i>y</i>（元）是销售数量<i>x</i>（辆）的函数.若该商场某一天共销售5辆自行车，则<i>x</i>=____，<i>y</i>=____.
            </p>
            <p>（2） 小明到户外跑步健身，他距出发点的距离<i>y</i>（km ）与出发后的时间<i>x</i>（h）的函数关系如图所示，则这个函数的定义域是____，值域是____.</p>
            <p>（3） ①若<i>f</i>（<i>x</i>）=3-5<i>x</i>，则<i>f</i>（6）=____.</p>
            <p>②若<math display="0">
                <mi>f</mi>
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">(</mo>
                  <mi>x</mi>
                  <mo data-mjx-texclass="CLOSE">)</mo>
                </mrow>
                <mo>=</mo>
                <msqrt>
                  <mn>4</mn>
                  <mi>x</mi>
                  <mo>+</mo>
                  <mn>9</mn>
                </msqrt>
              </math>，则<i>f</i>（4）=____.</p>
            <examinations :cardList="questionData[81]" :hideCollect="true" sourceType="json"
            v-if="questionData" ></examinations>
          </div>
        </div>
      </div>
@@ -929,24 +751,8 @@
          </div>
          <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
          <div class="bj">
            <p>1.用解析法表示下列函数.</p>
            <p>（1）我国新疆棉花绒长柔软、洁白光泽、质地坚韧，享誉世界.市场售价是12元/kg
              ，如果购买这种棉花<i>x</i>（kg），应付款<i>y</i>（元），那么用解析法可将函数<i>y</i>=<i>f</i>（<i>x</i>）表示为____，函数的定义域是____.</p>
            <p>（2） 某水池装满50 t水，如果每小时放出10
              t水，<i>x</i>（h）后，水池还剩水<i>y</i>（t），那么用解析法可将函数y=<i>f</i>（<i>x</i>）表示为____，则这个函数的定义域是____.
            </p>
            <p>2.填空题.</p>
            <p>（1）
              某签字笔的单价是1.5元，买<i>x</i>支（<i>x</i>∈{1，2，3，4，5，6，7，8，9，10}）签字笔需要付款<i>y</i>元，试用列表法表示函数<i>y</i>=<i>f</i>（<i>x</i>）.
            </p>
            <p class="img">表3-5</p>
            <p class="center"><img class="img-a" alt="" src="../../assets/images/0089-1.jpg" /></p>
            <p>（2） 某地区一个月以来遭受暴雨袭击，计算机监控某一天24
              <i>h</i>的水位变化情况如图所示，警戒水位线为<i>x</i>轴.某观测站的工作人员根据水位变化情况发出不同颜色的预警信号，让人们提前做好防洪减灾准备.当水位高于警戒水位线6
              m时，则发出红色预警信号.根据图像分析，工作人员发出红色预警信号的时间是从____到____.
            </p>
            <p class="center"><img class="img-b" alt="" src="../../assets/images/0089-2.jpg" /></p>
            <p class="img">第2（2）题图</p>
            <examinations :cardList="questionData[85]" :hideCollect="true" sourceType="json"
            v-if="questionData" ></examinations>
          </div>
        </div>
      </div>
@@ -1976,39 +1782,8 @@
        <div class="padding-116">
          <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
          <div class="bj">
            <p>1.填空题.</p>
            <p>（1）
              我国2019年1月至2020年9月全国居民消费价格月度同比上涨情况如图所示.（注：引自国家统计局）从图中可以看出，全国居民消费价格同比上涨值从2019年2月的____逐渐上升到2020年1月的____，随着时间的推移逐渐降低到2020年5月的____.
            </p>
            <p class="center"><img class="img-b" alt="" src="../../assets/images/0099-1.jpg" /></p>
            <p class="img">第1（1）题图</p>
            <p class="center"><img class="img-f" alt="" src="../../assets/images/0099-2.jpg" /></p>
            <p class="img">第1（2）题图</p>
            <p>（2） 函数<i>y</i>=<i>f</i>（<i>x</i>）的定义域为（-∞，+∞），其图像如图所示，函数在区间____上是增函数，在区间____上是减函数.</p>
            <p>（3） 函数<i>f</i>（<i>x</i>）=2<i>x</i>-1在区间（-∞，+∞）上是____函数（填“增”或“减”），则<i>f</i>（4）____<i>f</i>（1）（填“＜”或“＞”）；
            </p>
            <p>函数<math display="0">
                <mi>g</mi>
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">(</mo>
                  <mi>x</mi>
                  <mo data-mjx-texclass="CLOSE">)</mo>
                </mrow>
                <mo>=</mo>
                <mfrac>
                  <mn>1</mn>
                  <mi>x</mi>
                </mfrac>
              </math>在区间（-∞，0）上是____函数（填“增”或“减”），则<i>g</i>（-2）____<i>g</i>（-5）（填“＜”或“＞”）.</p>
            <p>2.画出下列函数的图像，并指出函数的单调区间.</p>
            <p>（1） <i>y</i>=-3<i>x</i>+6；（2） <i>y</i>=2<i>x</i>；（3） <i>y</i>=<i>x</i><sup>2</sup>-1.</p>
            <p>3.根据定义证明函数<i>f</i>（<i>x</i>）=3<i>x</i>-1是增函数.</p>
            <p class="center"><img class="img-f" alt="" src="../../assets/images/0099-4.jpg" /></p>
            <p class="img">第4题图</p>
            <p>4.一元二次函数<i>y</i>=<i>x</i><sup>2</sup>+4<i>x</i>的图像如图所示.</p>
            <p>（1） 求函数的对称轴方程和顶点坐标；</p>
            <p>（2） 指出函数的单调区间及在每一个区间上的单调性；</p>
            <p>（3） 当<i>x</i>∈［-1，1］时，求函数的最大值和最小值.</p>
            <examinations :cardList="questionData[95]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
            v-if="questionData" ></examinations>
          </div>
        </div>
      </div>
@@ -2335,11 +2110,8 @@
                <img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
              </p>
            </div>
            <p class="block tl">
              如果<i>f</i>（<i>x</i>），<i>g</i>（<i>x</i>）都是定义域为<i>D</i>的偶函数，那么<i>f</i>（<i>x</i>）+<i>g</i>（<i>x</i>）和<i>f</i>（<i>x</i>）<i>g</i>（<i>x</i>）仍是偶函数吗？
              <textarea cols="30" rows="4" v-model="chapterData.txtTwo" placeholder="请输入内容"
                class="w100 ta-br textarea-text" @input="handleChapterData"></textarea>
            </p>
            <examinations :cardList="questionData[98]" :hideCollect="true" sourceType="json"
            v-if="questionData" ></examinations>
          </div>
        </div>
      </div>
@@ -2578,14 +2350,6 @@
            <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>
          <p>所以，函数<i>f</i>（<i>x</i>）=<i>x</i>+|<i>x</i>|不是奇函数.</p>
          <div class="bk-hzjl">
            <div class="bj1-hzjl">
              <p class="left"><img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" /></p>
            </div>
            <p class="block">
              如果<i>f</i>（<i>x</i>），<i>g</i>（<i>x</i>）都是定义域为<i>D</i>的奇函数，那么<i>f</i>（<i>x</i>）+<i>g</i>（<i>x</i>）和<i>f</i>（<i>x</i>）<i>g</i>（<i>x</i>）仍是奇函数吗？
            </p>
          </div>
          <p>如果一个函数是奇函数或偶函数，那么就称这个函数具有<b>奇偶性</b>.否则，函数不具有奇偶性.</p>
          <p><span class="zt-ls"><b>例7</b></span>　判断下列函数的奇偶性.</p>
          <p>（1） <i>f</i>（<i>x</i>）=<i>x</i><sup>4</sup>；（2） <math display="0">
@@ -2719,9 +2483,8 @@
            <div class="bj1-hzjl">
              <p class="left"><img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" /></p>
            </div>
            <p class="block">
              奇函数<i>f</i>（<i>x</i>）和偶函数<i>g</i>（<i>x</i>）的定义域都为<i>D</i>，分别判断<i>f</i>（<i>x</i>）+<i>g</i>（<i>x</i>）和<i>f</i>（<i>x</i>）<i>g</i>（<i>x</i>）的奇偶性.
            </p>
            <examinations :cardList="questionData[103]" :hideCollect="true" sourceType="json"
            v-if="questionData" ></examinations>
          </div>
        </div>
      </div>
@@ -2740,146 +2503,15 @@
        <div class="padding-116">
          <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
          <div class="bj">
            <p>1.奇函数<i>f</i>（<i>x</i>）的定义域为（-∞，+∞），且<i>f</i>（-1）=7，则<i>f</i>（1）=____.</p>
            <p>2.奇函数<i>f</i>（<i>x</i>）的图像在<i>y</i>轴左边的部分如图所示，请你画出函数图像在<i>y</i>轴右边的部分.</p>
            <p class="center"><img class="img-f" alt="" src="../../assets/images/0108-1.jpg" /></p>
            <p class="img">第2题图</p>
            <p>3.判断下列函数是不是奇函数.</p>
            <p>（1） <i>f</i>（<i>x</i>）=<i>x</i>|<i>x</i>|；（2） <i>f</i>（<i>x</i>）=3<i>x</i>-5；</p>
            <p>（3） <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>
                  <mi>x</mi>
                  <mrow>
                    <msup>
                      <mi>x</mi>
                      <mrow>
                        <mn>2</mn>
                      </mrow>
                    </msup>
                    <mo>−</mo>
                    <mn>1</mn>
                  </mrow>
                </mfrac>
              </math>；（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>
                <mo>−</mo>
                <mfrac>
                  <mn>1</mn>
                  <mi>x</mi>
                </mfrac>
              </math>.</p>
            <p>4.判断下列函数的奇偶性.</p>
            <p>（1） <math display="0">
                <mi>f</mi>
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">(</mo>
                  <mi>x</mi>
                  <mo data-mjx-texclass="CLOSE">)</mo>
                </mrow>
                <mo>=</mo>
                <mo>−</mo>
                <mfrac>
                  <mn>1</mn>
                  <mrow>
                    <msup>
                      <mi>x</mi>
                      <mrow>
                        <mn>2</mn>
                      </mrow>
                    </msup>
                    <mo>−</mo>
                    <mn>1</mn>
                  </mrow>
                </mfrac>
              </math>；（2） <i>f</i>（<i>x</i>）=<i>x</i><sup>3</sup>-2<i>x</i>；</p>
            <p>（3） <i>f</i>（<i>x</i>）=2<i>x</i>-4；（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>
                <mo>−</mo>
                <mfrac>
                  <mn>1</mn>
                  <mrow>
                    <mi>x</mi>
                    <mo>+</mo>
                    <mn>3</mn>
                  </mrow>
                </mfrac>
              </math>.</p>
            <p>5.已知函数<i>f</i>（<i>x</i>）=<i>x</i><sup>2</sup>-1，</p>
            <p>（1） 判断函数<i>f</i>（<i>x</i>）的奇偶性；</p>
            <p>（2） 比较<i>f</i>（-5）与<i>f</i>（2）的大小.</p>
            <examinations :cardList="questionData[104]" :hideCollect="true" sourceType="json"
            v-if="questionData" ></examinations>
          </div>
          <h3 id="c032">习题3.3<span class="fontsz2">＞＞＞</span></h3>
          <div class="bj">
            <p><span class="bj-sp"><b>水平一</b></span></p>
            <p>1.选择题.</p>
            <p>（1） 奇函数<i>f</i>（<i>x</i>）的定义域是<b>R</b>，且在区间（0，+∞）上是增函数.</p>
          </div>

        </div>
      </div>
    </div>
    <!-- 098 -->
    <div class="page-box" page="105">
      <div v-if="showPageList.indexOf(105) > -1">
        <ul class="page-header-odd fl al-end">
          <li>098</li>
          <li>数学.基础模块</li>
          <li>上册</li>
        </ul>
        <div class="padding-116">
          <div class="bj">
            <p>下列图像比较符合这个函数性质的是（　）.</p>
            <p class="center"><img class="img-b" alt="" src="../../assets/images/0109-1.jpg" /></p>
            <p>（2） 偶函数<i>f</i>（<i>x</i>）的定义域是<b>R</b>，且在区间（0，+∞）上是减函数，下列图像比较符合这个函数性质的是（　）.</p>
            <p class="center"><img class="img-b" alt="" src="../../assets/images/0109-2.jpg" /></p>
            <p>2.填空题.</p>
            <p>（1） 若函数<i>f</i>（<i>x</i>）在（0，+∞）上是减函数，则<i>f</i>（5）___<i>f</i>（7）；（填“＜”或“＞”）</p>
            <p>（2） 若函数<i>g</i>（<i>x</i>）在（-∞，+∞）上是增函数，则<i>g</i>（-3）___<i>g</i>（1）；（填“＜”或“＞”）</p>
            <p>（3） 若奇函数<i>f</i>（<i>x</i>）的定义域为<b>R</b>，且<i>f</i>（-3）=5，<i>f</i>（2）=-1，则<i>f</i>（3）+<i>f</i>（-2）=____；
            </p>
            <p>（4） 若偶函数<i>g</i>（<i>x</i>）的定义域为<b>R</b>，且<i>g</i>（1）=6，<i>g</i>（-4）=-3，则<i>g</i>（-1）+<i>g</i>（4）=____.
            </p>
            <p>3.函数<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>
                  <msup>
                    <mi>x</mi>
                    <mrow>
                      <mn>2</mn>
                    </mrow>
                  </msup>
                </mfrac>
              </math>的图像在<i>y</i>轴左边的部分如图所示.请你根据函数的奇偶性，画出这个函数图像在<i>y</i>轴右边的部分.</p>
            <p class="center"><img class="img-f" alt="" src="../../assets/images/0109-4.jpg" /></p>
            <p class="img">第3题图</p>
          </div>
        </div>
      </div>
    <div class="page-box hidePage" page="105">
    </div>
    <!-- 099 -->
    <div class="page-box" page="106">
@@ -2889,134 +2521,14 @@
            <p>第三单元 函数</p>
          </li>
          <li>
            <p><span>099</span></p>
            <p><span>098-099</span></p>
          </li>
        </ul>
        <div class="padding-116">
          <h3 id="c032">习题3.3<span class="fontsz2">＞＞＞</span></h3>
          <div class="bj">
            <p>4.已知函数<i>f</i>（<i>x</i>）=2<i>x</i><sup>2</sup>+3.</p>
            <p>（1） 判断函数的奇偶性；</p>
            <p>（2） 指出函数的单调区间，并说明它在每一个区间上的单调性.</p>
            <p>5.判断下列函数的奇偶性.</p>
            <p>（1） <i>f</i>（<i>x</i>）=-|<i>x</i>|；（2） <i>f</i>（<i>x</i>）=<i>x</i><sup>2</sup>+2<i>x</i>；（3）<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>2</mn>
                  <mrow>
                    <mi>x</mi>
                    <mo>−</mo>
                    <mn>1</mn>
                  </mrow>
                </mfrac>
              </math>；</p>
            <p>（4） <i>f</i>（<i>x</i>）=-1；（5） <math display="0">
                <mi>f</mi>
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">(</mo>
                  <mi>x</mi>
                  <mo data-mjx-texclass="CLOSE">)</mo>
                </mrow>
                <mo>=</mo>
                <msqrt>
                  <mi>x</mi>
                </msqrt>
              </math>.</p>
            <p><span class="bj-sp"><b>水平二</b></span></p>
            <p>1.已知偶函数<i>f</i>（<i>x</i>）=<i>x</i><sup>2</sup>+（<i>m</i>-2）<i>x</i>-9.</p>
            <p>（1） 求<i>m</i>的值；</p>
            <p>（2） 比较<i>f</i>（3）与<i>f</i>（-5）的大小；</p>
            <p>（3） 若<i>f</i>（<i>x</i>）＞0，求<i>x</i>的取值范围.</p>
            <p>2.判断函数<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>
                  <msup>
                    <mi>x</mi>
                    <mrow>
                      <mn>2</mn>
                    </mrow>
                  </msup>
                </mfrac>
              </math>在区间（0，+∞）上的单调性.</p>
            <p>
              3.已知函数<i>y</i>=<i>f</i>（<i>x</i>）的定义域为<b>R</b>，它的图像关于原点中心对称，且<i>f</i>（-2）=m<sup>2</sup>-3<i>m</i>，<i>f</i>（2）=6-2<i>m</i>，求<i>m</i>的值.
            </p>
            <p>4.判断下列函数的奇偶性.</p>
            <p>（1） <math display="0">
                <mi>f</mi>
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">(</mo>
                  <mi>x</mi>
                  <mo data-mjx-texclass="CLOSE">)</mo>
                </mrow>
                <mo>=</mo>
                <msqrt>
                  <msup>
                    <mi>x</mi>
                    <mrow>
                      <mn>2</mn>
                    </mrow>
                  </msup>
                  <mo>−</mo>
                  <mn>9</mn>
                </msqrt>
              </math>；（2） <i>f</i>（<i>x</i>）=<i>x</i><sup>3</sup>-<i>x</i>；（3）
              <i>f</i>（<i>x</i>）=（<i>x</i>-2）<sup>2</sup>；
            </p>
            <p>（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>
                <msup>
                  <mi>x</mi>
                  <mrow>
                    <mn>2</mn>
                  </mrow>
                </msup>
                <mo>+</mo>
                <mfrac>
                  <mn>2</mn>
                  <msup>
                    <mi>x</mi>
                    <mrow>
                      <mn>2</mn>
                    </mrow>
                  </msup>
                </mfrac>
              </math>；（5） <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>
                <mroot>
                  <mi>x</mi>
                  <mn>3</mn>
                </mroot>
              </math>；（6） <i>f</i>（<i>x</i>）=0.</p>
            <p>5.已知函数<i>f</i>（<i>x</i>）=<i>ax</i><sup>3</sup>+（<i>a</i><sup>2</sup>-2<i>a</i>-3）<i>x</i><sup>2</sup>.
            </p>
            <p>（1） 若<i>f</i>（<i>x</i>）是偶函数，求<i>a</i>的值；</p>
            <p>（2） 若<i>f</i>（<i>x</i>）是奇函数，求<i>a</i>的值.</p>
            <examinations :cardList="questionData[105]" :hideCollect="true" sourceType="json"
            v-if="questionData" ></examinations>
          </div>
          <h2 id="b018">3.4 函数的应用<span class="fontsz1">＞＞＞＞＞＞＞＞</span></h2>
          <p class="left"><img class="img-gn" alt="" src="../../assets/images/tjfx.jpg" /></p>
@@ -3281,14 +2793,6 @@
          <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>
          <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
          <div class="bj">
            <p>1.某市出租车白天营运的收费标准如表3-15所示.设出租车行驶的路程为 <i>x</i>（km ），收费为<i>y</i>（元），根据表格信息解答下列问题.</p>
            <p class="img">表3-15 某市出租车白天营运收费标准</p>
            <p class="center"><img class="img-a" alt="" src="../../assets/images/0113-3.jpg" /></p>
            <p>（1） 小明去爷爷家，搭乘出租车行驶了3.4 km ，途中没有堵车，那么他应付车费多少元？</p>
            <p>（2） 李杨去公司上班，搭乘出租车行驶了6.8 km ，途中没有堵车，那么他应付车费多少元？</p>
          </div>
        </div>
      </div>
    </div>
@@ -3304,24 +2808,10 @@
          </li>
        </ul>
        <div class="padding-116">
          <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
          <div class="bj">

            <p>2.小张开车以50 km/h的速度从家到公司去上班，家与公司相距30 km.他一到公司就发现有一份重要文件放在家里忘带了，然后立即以60
              km/h的速度返回.用<i>x</i>（h）表示小张开车从家出发后的时间，用<i>y</i>（km）表示车行驶的路程.</p>
            <p>（1） 用解析法表示函数<i>y</i>=<i>f</i>（<i>x</i>）；</p>
            <p>（2） 画出函数<i>y</i>=<i>f</i>（<i>x</i>）的图像.</p>
            <p>3.某超市出售一批西瓜，为了尽快销售完，该超市把这批西瓜分成两类进行出售，单个为5 kg及以下的西瓜售价为1元/kg；单个为5 kg以上的售价为1.5元/kg.</p>
            <p>（1） 写出销售每个西瓜的收入y（元）与质量x（kg）的函数关系；</p>
            <p>（2） 一位顾客购买一个6 kg 的西瓜，应付款多少元？</p>
            <p>4.光伏发电为我国经济社会发展提供绿色动力，如果用一根长为36 m的铝合金材料制作一个光伏太阳能电池板矩形边框.</p>
            <p>（1） 写出矩形的宽<i>L</i>（m）与长<i>x</i>（m）的函数关系；</p>
            <p>（2） 假设矩形的长为<i>x</i>（m），面积为<i>y</i>（m<sup>2</sup>），写出<i>y</i>与<i>x</i>的函数关系式，并求出它的定义域；</p>
            <p>（3） 当矩形的长和宽分别为多少米时，矩形的面积最大？最大面积是多少？</p>
            <p>
              5.李某的家乡生产一种大众喜爱的优质茶，他是某中职学校商贸专业的学生，放假后回家乡做茶场调研，他获悉某茶场的总利润<i>L</i>（元）是产量<i>x</i>（kg）的二次函数<i>L</i>=-<i>x</i><sup>2</sup>+1
              000<i>x</i>-83 000，200≤<i>x</i>≤800.</p>
            <p>（1） 当产量是300 kg 时，该茶场的总利润是多少？</p>
            <p>（2） 试计算产量是多少时，该茶场的总利润最大？最大利润是多少？</p>
            <examinations :cardList="questionData[110]" :hideCollect="true" sourceType="json"
            v-if="questionData" ></examinations>
          </div>
        </div>
      </div>
@@ -3330,107 +2820,25 @@
    <div class="page-box" page="111">
      <div v-if="showPageList.indexOf(111) > -1">
        <ul class="page-header-odd fl al-end">
          <li>104</li>
          <li>104-106</li>
          <li>数学.基础模块</li>
          <li>上册</li>
        </ul>
        <div class="padding-116">
          <h3 id="c033">习题3.4<span class="fontsz2">＞＞＞</span></h3>
          <div class="bj">
            <p><span class="bj-sp"><b>水平一</b></span></p>
            <p>1.选择题.</p>
            <p>（1） 某蓄水池每小时匀速注入水量是全池的<math display="0">
                <mfrac>
                  <mn>1</mn>
                  <mn>10</mn>
                </mfrac>
              </math>，从空池开始匀速注水，水池注水的总量<i>y</i>与时间<i>x</i>的函数关系正确的是（　）.</p>
            <p>A.<i>y</i>=0.1<i>x</i></p>
            <p>B.<i>y</i>=0.1<i><sup>x</sup></i></p>
            <p>C.<i>y</i>=0.1<i>x</i>，0≤<i>x</i>≤10</p>
            <p>D.<i>y</i>=0.9<i>x</i>，0≤<i>x</i>≤10</p>
            <p>（2）
              小张去与朋友会面，由于担心迟到，一开始选择跑步前行，跑了一段路程后，他发现时间还早就改为步行走完余下的路程.如果用横轴表示小张出发后的时间，用纵轴表示他与会面点的距离，则下列四个图像中比较符合题意的是（　）.
            </p>
            <p class="center"><img class="img-b" alt="" src="../../assets/images/0115-2.jpg" /></p>
            <p>2.填空题.</p>
            <p>（1）国内邮寄普通信函的邮费<i>y</i>（元）与其质量<i>x</i>（g）的函数图像如图所示，横坐标表示信函的质量，纵坐标表示应付邮费.从图像可知，</p>
            <p>当<i>x</i>=18 <i>g</i>时，应付邮费是____元；</p>
            <p>当<i>x</i>=20 <i>g</i>时，应付邮费是____元；</p>
            <p>当<i>x</i>=25 <i>g</i>时，应付邮费是____元；</p>
            <p>当邮费是2.4元时，信函的质量范围</p>
            <p>是____.</p>
            <p class="center"><img class="img-c" alt="" src="../../assets/images/0115-3.jpg" /></p>
            <p class="img">第2（1）题图</p>
            <p>（2） 某长途汽车公司对乘客携带行李做了如下规定：每位乘客可以免费携带30 kg行李，如果超过30
              kg，则超过部分按2元/kg收行李费.若携带行李的质量为<i>x</i>（kg），行李费为<i>y</i>（元），则<i>y</i>与<i>x</i>之间的函数关系可表示为____.</p>
            <examinations :cardList="questionData[111]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
            v-if="questionData" ></examinations>
          </div>
        </div>
      </div>
    </div>

    <!-- 105 -->
    <div class="page-box" page="112">
      <div v-if="showPageList.indexOf(112) > -1">
        <ul class="page-header-box">
          <li>
            <p>第三单元 函数</p>
          </li>
          <li>
            <p><span>105</span></p>
          </li>
        </ul>
        <div class="padding-116">
          <div class="bj">
            <p>3.甲、乙两个商店都出售同一品牌的茶壶和茶杯，茶壶售价20元/个，茶杯售价5元/个，现甲、乙两个商店都进行促销优惠.甲商店的优惠办法是买1个茶壶赠送1个茶杯；乙商店的优惠办法是按购买总价的92%付款.</p>
            <p>如果小梅购买茶壶4个、茶杯若干个（不少于4个），那么她选择哪个商店购买更实惠？</p>
            <p>4.从某中等职业学校毕业的小玲和小芳到某酒店实习，实习合格后成了该酒店的正式员工，每月底薪为2 800元.按酒店管理规定，每天推迟1
              h下班算这天加班，如果每月（按30天计）加班10天以下，则每天的加班费为20元，每月加班10天及以上，则每天的加班费为30元.（每月总薪资=底薪+加班费）</p>
            <p>（1） 若小玲10月加班6天、小芳10月加班15天，则她们该月的薪资分别是多少？</p>
            <p>（2） 假设某员工一个月加班<i>x</i>天，总薪资是<i>y</i>元，写出<i>y</i>与<i>x</i>的函数关系.</p>
            <p>5.为了保护水资源，提倡居民节约用水，某城市对居民生活用水实行“阶梯水价”，计费方式见表3-16.设每户居民家庭每月生活用水量<i>x</i>（m<sup>3</sup>），需付水费<i>y</i>元.</p>
            <p class="img">表3-16</p>
            <p class="center"><img class="img-a" alt="" src="../../assets/images/0116-1.jpg" /></p>
            <p>（1） 写出<i>y</i>与<i>x</i>的函数关系；</p>
            <p>（2） 老李家11月的用水量为23 m<sup>3</sup>，应付水费多少元？</p>
            <p><span class="bj-sp"><b>水平二</b></span></p>
            <p class="center"><img class="img-c" alt="" src="../../assets/images/0116-2.jpg" /></p>
            <p class="img">第1题图</p>
            <p>1.某加工厂生产某种产品的生产量和市场销量情况如图所示，其中<i>l</i>表示该产品每年年产量的变化规律，<i>m</i>表示该产品每年的销售情况.根据图像回答下列问题.</p>
            <p>（1） 哪一年之前市场销售量逐渐增长？哪一年开始市场销售量逐渐下降？</p>
            <p>（2） 请你根据图像进行分析，给该加工厂提出比较合理的建议.</p>
          </div>
        </div>
      </div>
    <div class="page-box hidePage" page="112">
    </div>
    <!-- 106 -->
    <div class="page-box" page="113">
      <div v-if="showPageList.indexOf(113) > -1">
        <ul class="page-header-odd fl al-end">
          <li>106</li>
          <li>数学.基础模块</li>
          <li>上册</li>
        </ul>

        <div class="padding-116">
          <div class="bj">
            <p>2.某商店购进一批单价为50元的商品，若每件按60元出售，一个月能销售600件.为了获得更大的利润，该商店准备提高价格，若每件商品每提高1元，则销售量将减少20件.</p>
            <p>（1） 设这批商品提价<i>x</i>元，所获得的利润为<i>y</i>元，写出<i>y</i>与<i>x</i>的函数关系式，并求出<i>x</i>的取值范围.</p>
            <p>（2） 当这批商品的售价为多少元时，该商店一个月能获得最大利润，最大利润是多少？</p>
            <p>3.小杨想帮妈妈在墙角用长为6 m的铁丝网围成一个梯形的鸡舍，如图所示，在梯形<i>ABCD</i>中，∠<i>DAB</i>=90°，
              ∠<i>ABC</i>=120°，假设<i>BC</i>为<i>x</i>（m），梯形面积为<i>y</i>（m<sup>2</sup>）.</p>
            <p>（1） 写出<i>y</i>与<i>x</i>之间的函数关系式，并求出<i>x</i>的取值范围；</p>
            <p>（2） 当<i>AB</i>为多少米时，梯形鸡舍的面积最大？最大面积是多少？</p>
            <p class="center"><img class="img-c" alt="" src="../../assets/images/0117-1.jpg" /></p>
            <p class="img">第3题图</p>
            <p>4.某超市采购了一批某品牌零食，每盒零食的进价为48元，试销后发现，这种零食每天的销售量<i>P</i>（盒）与销售价<i>x</i>（元/盒）的函数关系式是<i>P</i>=-3<i>x</i>+240.
            </p>
            <p>（1） 求函数的定义域；</p>
            <p>（2） 写出该超市每天销售这种零食所获得的利润与销售价的函数关系；</p>
            <p>（3） 当每盒零食的销售价为多少元时，该超市可以获得最大利润？最大利润是多少？</p>
          </div>
        </div>
      </div>
    <div class="page-box hidePage" page="113">
    </div>
    <!-- 107 -->
    <div class="page-box" page="114">
@@ -3465,7 +2873,6 @@
        </div>
      </div>
    </div>

    <!-- 108 -->
    <div class="page-box" page="115">
      <div v-if="showPageList.indexOf(115) > -1">
@@ -3495,7 +2902,6 @@
        </div>
      </div>
    </div>

    <!-- 109 -->
    <div class="page-box" page="116">
      <div v-if="showPageList.indexOf(116) > -1">
@@ -3517,298 +2923,28 @@
        </div>
      </div>
    </div>

    <!-- 110 -->
    <div class="page-box" page="117">
      <div v-if="showPageList.indexOf(117) > -1">
        <ul class="page-header-odd fl al-end">
          <li>110</li>
          <li>110-112</li>
          <li>数学.基础模块</li>
          <li>上册</li>
        </ul>
        <div class="padding-116">
          <h2 id="b021">单元检测<span class="fontsz1">＞＞＞＞＞＞＞＞</span></h2>
          <div class="bj">
            <p><span class="bj-sp"><b>水平一</b></span></p>
            <p>1.选择题.</p>
            <p>（1） 若函数<math display="0">
                <mi>f</mi>
                <mo stretchy="false">(</mo>
                <mi>x</mi>
                <mo stretchy="false">)</mo>
                <mo>=</mo>
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">{</mo>
                  <mtable columnalign="left left" columnspacing="1em" rowspacing="4pt">
                    <mtr>
                      <mtd>
                        <mo stretchy="false">|</mo>
                        <mi>x</mi>
                        <mrow>
                          <mo stretchy="false">|</mo>
                        </mrow>
                        <mo>,</mo>
                      </mtd>
                      <mtd>
                        <mi>x</mi>
                        <mo>&lt;</mo>
                        <mn>0</mn>
                      </mtd>
                    </mtr>
                    <mtr>
                      <mtd>
                        <mi>x</mi>
                        <mo>+</mo>
                        <mn>1</mn>
                        <mo>,</mo>
                      </mtd>
                      <mtd>
                        <mn>0</mn>
                        <mo>⩽</mo>
                        <mi>x</mi>
                        <mo>&lt;</mo>
                        <mn>2</mn>
                      </mtd>
                    </mtr>
                    <mtr>
                      <mtd>
                        <mn>3</mn>
                        <mi>x</mi>
                        <mo>,</mo>
                      </mtd>
                      <mtd>
                        <mi>x</mi>
                        <mo>⩾</mo>
                        <mn>2</mn>
                      </mtd>
                    </mtr>
                  </mtable>
                  <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
                </mrow>
              </math>，则<i>f</i>（1）=（　）.</p>
            <p>A.1</p>
            <p>B.2</p>
            <p>C.3</p>
            <p>D.6</p>
            <p>（2） 定义域为<b>R</b>的偶函数<i>f</i>（<i>x</i>）在区间［0，+∞）上是增函数，则下列图像中符合函数<i>f</i>（<i>x</i>）性质的是（　）.</p>
            <p class="center"><img class="img-c" alt="" src="../../assets/images/0121-2.jpg" /></p>
            <p>（3） 点（-2，3）在奇函数<i>y</i>=<i>f</i>（<i>x</i>）的图像上，则下列一定在函数图像上的是（　）.</p>
            <p>A.（2，-3）</p>
            <p>B.（3，-2）</p>
            <p>C.（-2，-3）</p>
            <p>D.（2，3）</p>
            <p>（4） 若偶函数<i>f</i>（<i>x</i>）在区间（0，+∞）上是减函数，则下列大小关系正确的是（　）.</p>
            <p>A.<i>f</i>（-3）＞<i>f</i>（1）</p>
            <p>B.<i>f</i>（1）＜<i>f</i>（3）</p>
            <p>C.<i>f</i>（-3）＜<i>f</i>（-1）</p>
            <p>D.<i>f</i>（-1）＜<i>f</i>（3）</p>
            <p>2.填空题.</p>
            <p>（1） 若函数<i>f</i>（<i>x</i>）=2<i>x</i>+<i>b</i>，且<i>f</i>（1）=5，则<i>f</i>（-1）=____；</p>
            <p>（2） 函数<math display="0">
                <mi>f</mi>
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">(</mo>
                  <mi>x</mi>
                  <mo data-mjx-texclass="CLOSE">)</mo>
                </mrow>
                <mo>=</mo>
                <msqrt>
                  <mn>2</mn>
                  <mi>x</mi>
                  <mo>−</mo>
                  <mn>6</mn>
                </msqrt>
              </math>的定义域是____；</p>
            <p class="center"><img class="img-c" alt="" src="../../assets/images/0121-4.jpg" /></p>
            <p class="img">第2（4）题图</p>
            <p>（3） 在偶函数<i>f</i>（<i>x</i>）中，<i>f</i>（6）=-1，则<i>f</i>（-6）=____；</p>
            <p>（4） 函数<i>y</i>=<i>f</i>（<i>x</i>），<i>x</i>∈［-1.5，4.5］的图像如图所示，其减区间是____.</p>
            <examinations :cardList="questionData[117]" :hideCollect="true" sourceType="json"
            v-if="questionData" ></examinations>
          </div>
        </div>
      </div>
    </div>
    <!-- 111 -->
    <div class="page-box" page="118">
      <div v-if="showPageList.indexOf(118) > -1">
        <ul class="page-header-box">
          <li>
            <p>第三单元 函数</p>
          </li>
          <li>
            <p><span>111</span></p>
          </li>
        </ul>
        <div class="padding-116">
          <div class="bj">
            <p>3.某品牌牙膏的促销价是每支25元，每人购买数量不超过5支.购买这种牙膏应付款<i>y</i>（元）是购买数量<i>x</i>（支）的函数.</p>
            <p>（1） 求这个函数的定义域；</p>
            <p>（2） 分别用解析法、列表法、图像法表示这个函数.</p>
            <p>4.已知函数<i>f</i>（<i>x</i>）=-2<i>x</i>+1.</p>
            <p>（1） 画出函数的图像；</p>
            <p>（2） 根据图像，当<i>f</i>（<i>x</i>）≤0时，求<i>x</i>的取值范围；</p>
            <p>（3） 当<i>x</i>∈［-1，4］时，求函数<i>f</i>（<i>x</i>）的最大值和最小值.</p>
            <p>5.某市出租车的起步价是3 km 以下为10元，刚好3 km 收费11元，超过3 km 按每0.5 km 计费0.90元，不足0.5 km 则不计入总价.设出租车行驶路程<i>x</i>（km
              ），应支付费用<i>y</i>（元）.</p>
            <p>（1） 当0＜<i>x</i>≤5时，用解析法表示<i>y</i>与<i>x</i>的函数关系；</p>
            <p>（2） 小李家与外婆家相距23.8 km ，如果小李搭乘出租车去外婆家，应支付出租车费用多少元？</p>
            <p><span class="bj-sp"><b>水平二</b></span></p>
            <p>1.填空题.</p>
            <p>（1） 若函数<i>f</i>（<i>x</i>）=（<i>m</i><sup>2</sup>-4）<i>x</i><sup>2</sup>+3<i>x</i>的图像关于原点对称，则<i>m</i>=____；
            </p>
            <p>（2） 若函数<math display="0">
                <mi>f</mi>
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">(</mo>
                  <mi>x</mi>
                  <mo data-mjx-texclass="CLOSE">)</mo>
                </mrow>
                <mo>=</mo>
                <msqrt>
                  <mn>5</mn>
                  <mo>−</mo>
                  <mrow>
                    <mo stretchy="false">|</mo>
                  </mrow>
                  <mn>2</mn>
                  <mi>x</mi>
                  <mo>+</mo>
                  <mn>1</mn>
                  <mo stretchy="false">|</mo>
                </msqrt>
              </math>，则<math display="0">
                <mi>f</mi>
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">(</mo>
                  <mfrac>
                    <mn>3</mn>
                    <mn>2</mn>
                  </mfrac>
                  <mo data-mjx-texclass="CLOSE">)</mo>
                </mrow>
                <mo>=</mo>
              </math>____，其定义域是____；</p>
            <p>（3） 已知函数<i>f</i>（<i>x</i>）=<i>x</i><sup>2</sup>-3，<i>x</i>∈［-2，5］，则<i>f</i>（<i>x</i>）的最大值是____，最小值是____.
            </p>
            <p>2.已知函数<math display="0">
                <mi>f</mi>
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">(</mo>
                  <mi>x</mi>
                  <mo data-mjx-texclass="CLOSE">)</mo>
                </mrow>
                <mo>=</mo>
                <msqrt>
                  <msup>
                    <mi>x</mi>
                    <mrow>
                      <mn>2</mn>
                    </mrow>
                  </msup>
                  <mo>−</mo>
                  <mi>x</mi>
                  <mo>−</mo>
                  <mn>6</mn>
                </msqrt>
              </math>.</p>
            <p>（1） 求<i>f</i>（7）的值；</p>
            <p>（2） 求函数的定义域.</p>
            <p>3.判断下列函数的奇偶性.</p>
            <p>（1） <i>f</i>（<i>x</i>）=<i>x</i><sup>3</sup>+3；（2） <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>
                  <mi>x</mi>
                  <mrow>
                    <mi>x</mi>
                    <mo>−</mo>
                    <mn>1</mn>
                  </mrow>
                </mfrac>
              </math>；</p>
            <p>（3） <i>f</i>（<i>x</i>）=-<i>x</i>|<i>x</i>|；（4） <i>f</i>（<i>x</i>）=<i>x</i><sup>2</sup>+4<i>x</i>+6.</p>
          </div>
        </div>
      </div>
    <div class="page-box hidePage" page="118">
    </div>
    <!-- 112 -->
    <div class="page-box" page="119">
      <div v-if="showPageList.indexOf(119) > -1">
        <ul class="page-header-odd fl al-end">
          <li>112</li>
          <li>数学.基础模块</li>
          <li>上册</li>
        </ul>
        <div class="padding-116">
          <div class="bj">
            <p class="center"><img class="img-c" alt="" src="../../assets/images/0123-1.jpg" /></p>
            <p class="img">第4题图</p>
            <p>4.用长为36 m的建筑材料修建一个矩形花园（一边靠墙），如图所示，花园分成三个大小相同的矩形，分别种植玫瑰、牡丹和月季.</p>
            <p>（1）
              设<i>AB</i>为<i>x</i>（m）时，矩形花园<i>ABCD</i>的面积为<i>y</i>（m<sup>2</sup>），写出<i>y</i>与<i>x</i>的函数关系式，并求出<i>x</i>的取值范围；
            </p>
            <p>（2） 请你设计一个方案，使得矩形花园<i>ABCD</i>的面积最大，并求出它的最大面积.</p>
            <p>5.某企业生产一种精密电子仪器的固定成本为20 000元，每生产一台这种仪器需增加投入100元，已知总收益满足函数<math display="0">
                <mi>f</mi>
                <mo stretchy="false">(</mo>
                <mi>x</mi>
                <mo stretchy="false">)</mo>
                <mo>=</mo>
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">{</mo>
                  <mtable columnalign="left left" columnspacing="1em" rowspacing="4pt">
                    <mtr>
                      <mtd>
                        <mo>−</mo>
                        <mfrac>
                          <mn>1</mn>
                          <mn>2</mn>
                        </mfrac>
                        <msup>
                          <mi>x</mi>
                          <mrow>
                            <mn>2</mn>
                          </mrow>
                        </msup>
                        <mo>+</mo>
                        <mn>400</mn>
                        <mi>x</mi>
                        <mo>,</mo>
                      </mtd>
                      <mtd>
                        <mn>0</mn>
                        <mo>⩽</mo>
                        <mi>x</mi>
                        <mo>⩽</mo>
                        <mn>400</mn>
                        <mo>,</mo>
                      </mtd>
                    </mtr>
                    <mtr>
                      <mtd>
                        <mn>80000</mn>
                        <mo>,</mo>
                      </mtd>
                      <mtd>
                        <mi>x</mi>
                        <mo>&gt;</mo>
                        <mn>400</mn>
                        <mo>,</mo>
                      </mtd>
                    </mtr>
                  </mtable>
                  <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
                </mrow>
              </math>，其中<i>x</i>是该种仪器的月产量.</p>
            <p>（1） 将利润<i>w</i>元表示为月产量<i>x</i>台的函数；（利润=总收益-总成本）</p>
            <p>（2） 当月产量为何值时，企业所获利润最大？最大利润是多少元？</p>
          </div>
        </div>
      </div>
    <div class="page-box hidePage" page="119">
    </div>
        <!-- 函数控件弹窗 -->
    <el-dialog :visible.sync="dialogVisible" width="60%" :append-to-body="true" :show-close="false">

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

Diff too large

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

@@ -162,7 +162,7 @@

    // 测试页面跳转
    setTimeout(() => {
      this.gotoPage(3, 96);
      this.gotoPage(4, 157);
    //   //   setTimeout(() => {
    //   //     this.renderSign("Highlight", {
    //   //       id: "2ACA9359",