数学

闫增涛

2024-10-16 d7bb63ff28f0f08f377239139893fa5b263c844f

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

@@ -67,7 +67,6 @@
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    <div class="page-box" page="40">
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@@ -270,7 +268,8 @@
                <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" inputBc="#d3edfa"
              v-if="questionData"></examinations>
          </div>
          <p>
            <span class="zt-ls"><b>例1</b></span>　已知<i>a</i>＞<i>b</i>＞0.
@@ -313,24 +312,8 @@
        <div class="padding-116">
          <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
          <div class="bj">
            <p>1.用“＞”或“＜”填空.</p>
            <p>
              （1） <i>a</i>+5___<i>b</i>+5（<i>a</i>＜<i>b</i>）；（2）
              <i>x</i>+5___<i>x</i>+2；
            </p>
            <p>
              （3） m+1___<i>m</i>-1；（4）
              -5<i>p</i>___-5<i>q</i>（<i>p</i>＜<i>q</i>）.
            </p>
            <p>2.用“＞”或“＜”填空.</p>
            <p>
              （1） 若4<i>x</i>＜2，则<i>x</i>___<math display="0">
                <mfrac>
                  <mn>1</mn>
                  <mn>2</mn>
                </mfrac>
              </math>；（2） 若<i>a</i>＜0，则2<i>a</i>___<i>a</i>.
            </p>
            <examinations :cardList="questionData[42]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
              v-if="questionData"></examinations>
          </div>
          <h3 id="c013">2.1.2 作差比较法<span class="fontsz2">＞＞＞</span></h3>
          <p class="left"><img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /></p>
@@ -725,87 +708,14 @@
                <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>
            <examinations :cardList="questionData[43] ? questionData[43][1] : []" :hideCollect="true" sourceType="json"
              v-if="questionData">
            </examinations>
          </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>
            <examinations :cardList="questionData[43] ? questionData[43][2] : []" :hideCollect="true" sourceType="json"
              inputBc="#d3edfa" v-if="questionData"></examinations>
          </div>
        </div>
      </div>
@@ -823,104 +733,10 @@
        </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>
          <div class="bj">
            <examinations :cardList="questionData[44]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
              v-if="questionData"></examinations>
          </div>
          <h2 id="b008">2.2 区间<span class="fontsz1">＞＞＞＞＞＞＞＞</span></h2>
          <div class="bk">
            <div class="bj1">
@@ -1117,7 +933,7 @@
              </mrow>
            </math>，表示在数轴上如图2-1所示.
          </p>
          <p class="center"><img class="img-c" alt="" src="../../assets/images/0050-7.jpg" /></p>
          <p class="center"><img class="img-f" alt="" src="../../assets/images/0050-7.jpg" /></p>
          <p class="img">图2-1</p>
          <p>
            <span
@@ -1127,7 +943,7 @@
            <span class="zt-ls"><b>解</b></span>
            在数轴上将集合<i>A</i>，<i>B</i>表示出来，如图2-2所示.
          </p>
          <p class="center"><img class="img-c" alt="" src="../../assets/images/0050-8.jpg" /></p>
          <p class="center"><img class="img-d" alt="" src="../../assets/images/0050-8.jpg" /></p>
          <p class="img">图2-2</p>
          <p>
            <i>A</i>∩<i>B</i>={<i>x</i>|-5＜<i>x</i>＜6}∩{<i>x</i>|<i>x</i>≥3或<i>x</i>≤-3}
@@ -1141,112 +957,22 @@
    <div class="page-box" page="47">
      <div v-if="showPageList.indexOf(47) > -1">
        <ul class="page-header-odd fl al-end">
          <li>040</li>
          <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>
          <p class="left">
            <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
          </p>
          <div class="bj">
            <p>1.用区间表示下列集合.</p>
            <p>（1） <i>A</i>={<i>x</i>|<i>x</i>＞0}；</p>
            <p>（2） <i>B</i>={<i>x</i>|<i>x</i>＜0}；</p>
            <p>（3） <i>M</i>={<i>x</i>|-1＜<i>x</i>≤0}.</p>
            <p>2.填空题.</p>
            <p>（1） {<i>x</i>|-π≤<i>x</i>≤π}用区间表示为______；</p>
            <p>（2） {<i>x</i>|-π＜<i>x</i>＜π}用区间表示为______；</p>
            <p>（3） {<i>x</i>|-π＜<i>x</i>≤π}用区间表示为______；</p>
            <p>（4） {<i>x</i>|-π≤<i>x</i>＜π}用区间表示为______；</p>
            <p>（5） {<i>x</i>|<i>x</i>≥π}用区间表示为______；</p>
            <p>（6） {<i>x</i>|<i>x</i>＜-π}用区间表示为______.</p>
            <p>
              3.设<b>R</b>为全集，集合<i>M</i>={<i>x</i>|4<i>x</i>＞2<i>x</i>+4}，<i>P</i>={<i>x</i>|-1≤<i>x</i>≤1}，用区间表示下列集合.
            </p>
            <p>
              （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>
            <examinations :cardList="questionData[47] ? questionData[47][1] : []" :hideCollect="true" sourceType="json"
              inputBc="#d3edfa" v-if="questionData"></examinations>
          </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>
    <!-- 041 -->
    <div class="page-box" page="48">
      <div v-if="showPageList.indexOf(48) > -1">
        <ul class="page-header-box">
          <li>
            <p>第二单元 不等式</p>
          </li>
          <li>
            <p><span>041</span></p>
          </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>
            <examinations :cardList="questionData[47] ? questionData[47][2] : []" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
              v-if="questionData"></examinations>
          </div>
          <h2 id="b009">
            2.3 一元二次不等式<span class="fontsz1">＞＞＞＞＞＞＞＞</span>
@@ -1269,6 +995,9 @@
          </p>
        </div>
      </div>
    </div>
    <!-- 041 -->
    <div class="page-box hidePage" page="48">
    </div>
    <!-- 042 -->
    <div class="page-box" page="49">
@@ -1521,20 +1250,47 @@
                <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] ? questionData[51][1] : []" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
              v-if="questionData"></examinations>
          </div>
          <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
          <div class="bj">
            <p>已知下列二次函数：</p>
            <p>
              ①<i>y</i>=<i>x</i><sup>2</sup>-3<i>x</i>-4， ②<i>y</i>=<i>x</i><sup>2</sup>+<i>x</i>+2，
              ③<i>y</i>=<i>x</i><sup>2</sup>-6<i>x</i>+9.
            </p>
            <p>①<i>y</i>=<i>x</i><sup>2</sup>-3<i>x</i>-4， ②<i>y</i>=<i>x</i><sup>2</sup>+<i>x</i>+2， ③<i>y</i>=<i>x</i><sup>2</sup>-6<i>x</i>+9.</p>
            <p>（1） 分别画出它们的函数图像；</p>
            <paint 
              :page="51"
              :imgUrl="this.config.activeBook.resourceUrl + '/images/a6fe3d63.png'" 
            />
            <p>
              （2）
              根据函数图像写出<i>y</i>=0，<i>y</i>＞0，<i>y</i>＜0时所对应的<i>x</i>的值或取值范围.
              （2） 根据函数图像写出<i>y</i>=0，<i>y</i>＞0，<i>y</i>＜0时所对应的<i>x</i>的值或取值范围.
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              <li>答案：</li>
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                <math  display="block">  <mrow>    <mo>&#x2460;</mo>  </mrow>  <mi>y</mi>  <mo>=</mo>  <msup>    <mi>x</mi>    <mrow>      <mn>2</mn>    </mrow>  </msup>  <mo>&#x2212;</mo>  <mn>3</mn>  <mi>x</mi>  <mo>&#x2212;</mo>  <mn>4</mn>  <mo>=</mo>  <mo stretchy="false">(</mo>  <mi>x</mi>  <mo>+</mo>  <mn>1</mn>  <mo stretchy="false">)</mo>  <mo stretchy="false">(</mo>  <mi>x</mi>  <mo>&#x2212;</mo>  <mn>4</mn>  <mo stretchy="false">)</mo></math>
                <math  display="block">  <mo>&#x5F53;</mo>  <mi>y</mi>  <mo>=</mo>  <mn>0</mn>  <mo>&#x65F6;&#xFF0C;</mo>  <msub>    <mi>x</mi>    <mrow>      <mn>1</mn>    </mrow>  </msub>  <mo>=</mo>  <mo>&#x2212;</mo>  <mn>1</mn>  <mo>&#x6216;</mo>  <msub>    <mi>x</mi>    <mrow>      <mn>2</mn>    </mrow>  </msub>  <mo>=</mo>  <mn>4</mn>  <mo>&#xFF0C;</mo></math>
                <math  display="block">  <mo>&#x5F53;</mo>  <mi>y</mi>  <mo>&gt;</mo>  <mn>0</mn>  <mo>&#x65F6;&#xFF0C;</mo>  <mi>x</mi>  <mo>&lt;</mo>  <mo>&#x2212;</mo>  <mn>1</mn>  <mo>&#x6216;</mo>  <mi>x</mi>  <mo>&gt;</mo>  <mn>4</mn>  <mo>&#xFF0C;</mo></math>
                <math  display="block">  <mo>&#x5F53;</mo>  <mi>y</mi>  <mo>&lt;</mo>  <mn>0</mn>  <mo>&#x65F6;&#xFF0C;</mo>  <mo>&#x2212;</mo>  <mn>1</mn>  <mo>&lt;</mo>  <mi>x</mi>  <mo>&lt;</mo>  <mn>4</mn>  <mo>&#xFF1B;</mo></math>
                <math  display="block">  <mo>&#x56E0;&#x6B64;&#x5F53;</mo>  <mi>y</mi>  <mo>=</mo>  <mn>0</mn>  <mo>&#x65F6;&#xFF0C;&#x6240;&#x5BF9;&#x5E94;&#x7684;&#x70B9;&#x4E3A;</mo>  <mo stretchy="false">(</mo>  <mo>&#x2212;</mo>  <mn>1</mn>  <mo>,</mo>  <mn>0</mn>  <mo stretchy="false">)</mo>  <mo>,</mo>  <mo stretchy="false">(</mo>  <mn>4</mn>  <mo>,</mo>  <mn>0</mn>  <mo stretchy="false">)</mo>  <mo>;</mo>  <mo>&#x5F53;</mo>  <mi>y</mi>  <mo>&gt;</mo>  <mn>0</mn>  <mo>&#x65F6;&#xFF0C;&#x6240;&#x5BF9;&#x5E94;&#x7684;&#x70B9;&#x4E3A;</mo>  </math>
                <math  display="block"> <mo stretchy="false">(</mo>  <msub>    <mi>x</mi>    <mrow>      <mn>0</mn>    </mrow>  </msub>  <mo>,</mo>  <mi>y</mi>  <mo stretchy="false">)</mo>  <mo>&#xFF0C;&#x5176;&#x4E2D;&#xFF0C;</mo>  <msub>    <mi>x</mi>    <mrow>      <mn>0</mn>    </mrow>  </msub>  <mo>&lt;</mo>  <mo>&#x2212;</mo>  <mn>1</mn>  <mo>&#x6216;</mo>  <msub>    <mi>x</mi>    <mrow>      <mn>0</mn>    </mrow>  </msub>  <mo>&gt;</mo>  <mn>4</mn>  <mo>&#xFF1B;</mo> </math>
                <math  display="block">  <mo>&#x5F53;</mo>  <mi>y</mi>  <mo>&lt;</mo>  <mn>0</mn>  <mo>&#x65F6;&#xFF0C;&#x6240;&#x5BF9;&#x5E94;&#x7684;&#x70B9;&#x4E3A;</mo>  <mo stretchy="false">(</mo>  <msub>    <mi>x</mi>    <mrow>      <mn>0</mn>    </mrow>  </msub>  <mo>,</mo>  <mi>y</mi>  <mo stretchy="false">)</mo>  <mo>&#xFF0C;&#x5176;&#x4E2D;</mo>  <mo>&#x2212;</mo>  <mn>1</mn>  <mo>&lt;</mo>  <msub>    <mi>x</mi>    <mrow>      <mn>0</mn>    </mrow>  </msub>  <mo>&lt;</mo>  <mn>4</mn>  <mo>&#xFF1B;</mo></math>
                <math  display="block">  <mrow>    <mo>&#x2461;</mo>  </mrow>  <mi>y</mi>  <mo>=</mo>  <msup>    <mi>x</mi>    <mrow>      <mn>2</mn>    </mrow>  </msup>  <mo>+</mo>  <mi>x</mi>  <mo>+</mo>  <mn>2</mn>  <mo>=</mo>  <mo stretchy="false">(</mo>  <mi>x</mi>  <mo>+</mo>  <mfrac>    <mn>1</mn>    <mn>2</mn>  </mfrac>  <msup>    <mo stretchy="false">)</mo>    <mrow>      <mn>2</mn>    </mrow>  </msup>  <mo>+</mo>  <mfrac>    <mn>7</mn>    <mn>4</mn>  </mfrac>  <mo>&gt;</mo>  <mn>0</mn>  <mo>&#xFF1B;</mo></math>
                <math  display="block">  <mo>&#x5F53;</mo>  <mi>y</mi>  <mo>=</mo>  <mn>0</mn>  <mo>&#xFF0C;</mo>  <mi>y</mi>  <mo>&lt;</mo>  <mn>0</mn>  <mo>&#x65F6;&#xFF0C;&#x6CA1;&#x6709;&#x5BF9;&#x5E94;&#x7684;&#x70B9;&#xFF1B;&#x5F53;</mo>  <mi>y</mi>  <mo>&gt;</mo>  <mn>0</mn>  <mo>&#x65F6;&#xFF0C;&#x6240;&#x5BF9;&#x5E94;&#x7684;&#x70B9;&#x4E3A;</mo>  <mo stretchy="false">(</mo>  <msub>    <mi>x</mi>    <mrow>      <mn>0</mn>    </mrow>  </msub>  <mo>,</mo>  <mi>y</mi>  <mo stretchy="false">)</mo> </math>
                <math> <mo>&#xFF0C;&#x5176;&#x4E2D;</mo>  <msub>    <mi>x</mi>    <mrow>      <mn>0</mn>    </mrow>  </msub>  <mo>&#x2208;</mo>  <mi>R</mi>  <mo>.</mo></math>
                <math  display="block">  <mrow>    <mo>&#x2462;</mo>  </mrow>  <mi>y</mi>  <mo>=</mo>  <msup>    <mi>x</mi>    <mrow>      <mn>2</mn>    </mrow>  </msup>  <mo>&#x2212;</mo>  <mn>6</mn>  <mi>x</mi>  <mo>+</mo>  <mn>9</mn>  <mo>=</mo>  <mo stretchy="false">(</mo>  <mi>x</mi>  <mo>&#x2212;</mo>  <mn>3</mn>  <msup>    <mo stretchy="false">)</mo>    <mrow>      <mn>2</mn>    </mrow>  </msup>  <mo>.</mo></math>
                <math  display="block">  <mo>&#x5F53;</mo>  <mi>y</mi>  <mo>=</mo>  <mn>0</mn>  <mo>&#x65F6;</mo>  <mo>,</mo>  <mo>&#x6240;&#x5BF9;&#x5E94;&#x7684;&#x70B9;&#x4E3A;</mo>  <mo stretchy="false">(</mo>  <mn>3</mn>  <mo>,</mo>  <mn>0</mn>  <mo stretchy="false">)</mo>  <mo>&#xFF1B;&#x5F53;</mo>  <mi>y</mi>  <mo>&gt;</mo>  <mn>0</mn>  <mo>&#x65F6;&#xFF0C;&#x6240;&#x5BF9;&#x5E94;&#x7684;&#x70B9;&#x4E3A;</mo>  <mo stretchy="false">(</mo>  <msub>    <mi>x</mi>    <mrow>      <mn>0</mn>    </mrow>  </msub>  <mo>,</mo>  <mi>y</mi>  <mo stretchy="false">)</mo> </math>
                <math  display="block"> <mo>&#xFF0C;&#x5176;&#x4E2D;</mo>  <msub>    <mi>x</mi>    <mrow>      <mn>0</mn>    </mrow>  </msub>  <mo>&#x2260;</mo>  <mn>3</mn>  <mo>&#xFF1B;&#x5F53;</mo>  <mi>y</mi>  <mo>&lt;</mo>  <mn>0</mn>  <mo>&#x65F6;&#xFF0C;&#x6CA1;&#x6709;&#x5BF9;&#x5E94;&#x7684;&#x70B9;</mo>  <mo>.</mo></math>
              </li>
            </ul>
          </div>
        </div>
      </div>
@@ -1805,7 +1561,6 @@
            <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>
@@ -1815,9 +1570,8 @@
                <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>
            <examinations :cardList="questionData[54] ? questionData[54][1] : []" :hideCollect="true" sourceType="json" v-if="questionData">
            </examinations>
          </div>
          <p class="left"><img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" /></p>
          <p>
@@ -1830,13 +1584,9 @@
            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] ? questionData[54][2] : []" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
              v-if="questionData"></examinations>
          </div>
        </div>
      </div>
@@ -1850,15 +1600,6 @@
          <li>上册</li>
        </ul>
        <div class="padding-116">
          <div class="bj">
            <p>
              （4） <i>x</i><sup>2</sup>-3<i>x</i>-4＞0；（5） <i>x</i><sup>2</sup>-<i>x</i>-2≤0；（6）
              -<i>x</i><sup>2</sup>-3<i>x</i>＜0；
            </p>
            <p>
              （7） -<i>x</i><sup>2</sup>+5<i>x</i>-6＜0；（8） -3<i>x</i><sup>2</sup>+2<i>x</i>-1＞0.
            </p>
          </div>
          <h3 id="c018">
            2.3.3 特殊类型一元二次不等式的解法<span class="fontsz2">＞＞＞</span>
          </h3>
@@ -2054,12 +1795,8 @@
          <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 +1812,8 @@
        <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>
@@ -2427,19 +2105,15 @@
                <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>
            <examinations :cardList="questionData[60] ? questionData[60][1] : []" :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>
          <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>
            <examinations :cardList="questionData[60] ? questionData[60][2] : []" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
            v-if="questionData"></examinations>
          </div>
          <h3 id="c021">
            2.4.2
@@ -2477,7 +2151,6 @@
          <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 +2186,8 @@
          <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 +2206,8 @@
        <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 +2304,8 @@
                <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 +2321,13 @@
            <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>
@@ -2941,7 +2392,6 @@
          <li>数学.基础模块</li>
          <li>上册</li>
        </ul>

        <div class="padding-116">
          <p>
            生的身体素质，该指标是指学生参加50m跑，立定跳远，力量（男生引体向上、女生1分钟仰卧起坐），耐力跑（男生1
@@ -2984,9 +2434,8 @@
                <img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
              </p>
            </div>
            <p class="block">
              小组合作收集用一元二次不等式解决的实际问题，并探究解决这类问题的一般步骤和注意事项.
            </p>
            <examinations :cardList="questionData[65]" :hideCollect="true" sourceType="json"
            v-if="questionData" ></examinations>
          </div>
        </div>
      </div>
@@ -2999,135 +2448,28 @@
            <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>
          <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>
            <examinations :cardList="questionData[66] ? questionData[66][1] : []" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
              v-if="questionData"></examinations>
          </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] ? questionData[66][2] : []" :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 +2874,10 @@
            <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 +2979,27 @@
            <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 paint from '@/components/paint/index.vue'
import examinations from '@/components/examinations/index.vue'
export default {
  name: "",
  props: {
@@ -3778,14 +3007,16 @@
      type: Array,
      default: [],
    },
    questionData: {
      type: Object,
    },
  },
  components: {},
  components: { examinations,paint },
  data() {
    return {};
    return {
      isShowAnswer:false
    };
  },
  computed: {},
  watch: {},
  created() { },
  mounted() { },
  methods: {},
};
@@ -3802,4 +3033,15 @@
  top: 0;
  width: 140px;
}
.question-textarea {
  margin-left: 20px;
  width: 94%;
  border-color:#DCDFE6;
}
.table-answer-box {
  math {
    width: max-content;
    height: 36px;
  }
}
</style>