闫增涛
2024-10-16 d7bb63ff28f0f08f377239139893fa5b263c844f
src/books/mathBook/view/components/chapter003.vue
@@ -143,14 +143,17 @@
            <p><b>相关链接</b></p>
            <p class="block">魔方是由6个不同颜色的面组成的正方体,它可组成约4 325亿亿种不同颜色的组合,其最佳复原魔方颜色组合的方法是用数学方法研究出来的.</p>
          </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>
              <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>
            <examinations :cardList="questionData[78] ? questionData[78][1] : []" :hideCollect="true" sourceType="json" v-if="questionData">
            </examinations>
          </div>
          <p class="center"><img class="img-c" alt="" src="../../assets/images/0082-2.jpg" /></p>
          <p class="img">图3-2</p>
          <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 +161,8 @@
          <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] ? questionData[78][2] : []" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
            v-if="questionData" ></examinations>
          </div>
        </div>
      </div>
@@ -253,7 +229,6 @@
            <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">
@@ -433,417 +408,26 @@
          </math>
          <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>
          <div class="bj" >
            <examinations :cardList="questionData[80]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
            v-if="questionData" ></examinations>
          </div>
        </div>
      </div>
    </div>
    <!-- 074 -->
    <div class="page-box" page="81">
      <div v-if="showPageList.indexOf(81) > -1">
        <ul class="page-header-odd fl al-end">
          <li>074</li>
          <li>074-076</li>
          <li>数学.基础模块</li>
          <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>
          </div>
        </div>
      </div>
    </div>
    <!-- 075 -->
    <div class="page-box" page="82">
      <div v-if="showPageList.indexOf(82) > -1">
        <ul class="page-header-box">
          <li>
            <p>第三单元 函数</p>
          </li>
          <li>
            <p><span>075</span></p>
          </li>
        </ul>
        <div class="padding-116">
          <div class="bj">
            <p class="center"><img class="img-c" alt="" src="../../assets/images/0086-1.jpg" /></p>
            <p class="img">第2(2) 题图</p>
            <p>3.解答题.</p>
            <p>(1) 小梁第一季度和第二季度每月手机费充值如表3-3所示,请用函数的概念描述小梁每月手机费充值金额<i>y</i>(元)与月份<i>x</i>的对应关系.</p>
            <p class="img">表3-3</p>
            <p class="center"><img class="img-a" alt="" src="../../assets/images/0086-2.jpg" /></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>
                  <mi>x</mi>
                  <mrow>
                    <mi>x</mi>
                    <mo>−</mo>
                    <mn>1</mn>
                  </mrow>
                </mfrac>
              </math>;</p>
            <p>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>
                  <mi>x</mi>
                  <mo>+</mo>
                  <mn>3</mn>
                </msqrt>
                <mo>+</mo>
                <msqrt>
                  <mn>2</mn>
                  <mo>−</mo>
                  <mi>x</mi>
                </msqrt>
              </math>;</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>
                <msqrt>
                  <msup>
                    <mi>x</mi>
                    <mrow>
                      <mn>2</mn>
                    </mrow>
                  </msup>
                  <mo>−</mo>
                  <mn>5</mn>
                  <mi>x</mi>
                  <mo>+</mo>
                  <mn>6</mn>
                </msqrt>
              </math>.</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>)=2<i>x</i>+<i>b</i>,且<i>f</i>(-1)=5,则<i>b</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>
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">{</mo>
                  <mtable columnspacing="1em" rowspacing="4pt">
                    <mtr>
                      <mtd>
                        <mn>2</mn>
                        <mo>−</mo>
                        <mi>x</mi>
                        <mo>,</mo>
                        <mi>x</mi>
                        <mo>≤</mo>
                        <mn>0</mn>
                        <mo>,</mo>
                      </mtd>
                      <mtd></mtd>
                    </mtr>
                    <mtr>
                      <mtd>
                        <msup>
                          <mi>x</mi>
                          <mrow>
                            <mn>2</mn>
                          </mrow>
                        </msup>
                        <mo>−</mo>
                        <mn>3</mn>
                        <mo>,</mo>
                        <mi>x</mi>
                        <mo>></mo>
                        <mn>0</mn>
                        <mo>,</mo>
                      </mtd>
                      <mtd></mtd>
                    </mtr>
                  </mtable>
                  <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
                </mrow>
              </math>,则<i>f</i>(-1)=____,<i>f</i>(<i>f</i>(-1))=</p>
            <p>____;</p>
            <p>(3) 若函数<i>f</i>(<i>t</i>-1)=4<i>t</i>+7,则<i>f</i>(2)=____.</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>
                <msqrt>
                  <msup>
                    <mi>x</mi>
                    <mrow>
                      <mn>2</mn>
                    </mrow>
                  </msup>
                  <mo>−</mo>
                  <mn>16</mn>
                </msqrt>
              </math>;</p>
            <p>(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>
                  <mn>1</mn>
                  <msqrt>
                    <msup>
                      <mi>x</mi>
                      <mrow>
                        <mn>2</mn>
                      </mrow>
                    </msup>
                    <mo>−</mo>
                    <mn>3</mn>
                    <mi>x</mi>
                  </msqrt>
                </mfrac>
              </math>;</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>
                <msqrt>
                  <mn>5</mn>
                  <mo>−</mo>
                  <mrow>
                    <mo stretchy="false">|</mo>
                  </mrow>
                  <mn>3</mn>
                  <mi>x</mi>
                  <mo>−</mo>
                  <mn>1</mn>
                  <mo stretchy="false">|</mo>
                </msqrt>
                <mo>+</mo>
                <mfrac>
                  <mn>1</mn>
                  <mrow>
                    <mi>x</mi>
                    <mo>−</mo>
                    <mn>2</mn>
                  </mrow>
                </mfrac>
              </math>.</p>
          </div>
        </div>
      </div>
    </div>
    <!-- 076 -->
    <div class="page-box" page="83">
      <div v-if="showPageList.indexOf(83) > -1">
        <ul class="page-header-odd fl al-end">
          <li>076</li>
          <li>数学.基础模块</li>
          <li>上册</li>
        </ul>
        <div class="padding-116">
          <div class="bj">
            <p>3.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>
                  <mn>4</mn>
                  <mi>x</mi>
                  <mo>+</mo>
                  <mn>3</mn>
                </msqrt>
              </math>.</p>
            <p>(1) 求函数的定义域;</p>
            <p>(2) 比较<i>f</i>(5)与<i>f</i>(3)的大小;</p>
            <p>(3) 求函数的值域.</p>
          <div class="bj" >
            <examinations :cardList="questionData[81]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
            v-if="questionData" ></examinations>
          </div>
          <h2 id="b016">3.2 函数的表示方法<span class="fontsz1">>>>>>>>></span></h2>
          <h3 id="c027">3.2.1 函数的表示方法<span class="fontsz2">>>></span></h3>
@@ -862,6 +446,12 @@
          <p>表3-4清晰地反映了年份与当年快递业务量(亿件)之间的对应关系.在实际生活中,用列表法表示变量之间对应关系的例子还有很多.例如,记录某人每天的消费情况、单位职工的每月薪资收入、银行使用的存款“利息表”等.</p>
        </div>
      </div>
    </div>
    <!-- 075 -->
    <div class="page-box hidePage" page="82">
    </div>
    <!-- 076 -->
    <div class="page-box hidePage" page="83">
    </div>
    <!-- 077 -->
    <div class="page-box" page="84">
@@ -925,28 +515,13 @@
            <div class="bj1-hzjl">
              <p class="left"><img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" /></p>
            </div>
            <p class="block">分组探讨,例2中的函数能否用解析法表示?例3中的函数能否用列表法和解析法表示?比较函数的三种表示方法,它们各自的特点是什么?</p>
            <examinations :cardList="questionData[85] ? questionData[85][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>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] ? questionData[85][2] : []" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
            v-if="questionData" ></examinations>
          </div>
        </div>
      </div>
@@ -1268,233 +843,13 @@
            <div class="bj1-hzjl">
              <p class="left"><img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" /></p>
            </div>
            <p class="block">依法纳税是每个公民的义务.查找国家征收个人所得税税率表, 并讨论:如果一个公司内两位员工一年的个人综合所得额分别为12万和15万,那么这两位员工所缴纳的个人所得税税额分别是多少?
            </p>
            <examinations :cardList="questionData[88] ? questionData[88][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.填空题.</p>
            <p>(1) 若函数<math display="0">
                <mi>y</mi>
                <mo>=</mo>
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">{</mo>
                  <mtable columnspacing="1em" rowspacing="4pt">
                    <mtr>
                      <mtd>
                        <mi>x</mi>
                        <mo>+</mo>
                        <mn>1</mn>
                        <mo>,</mo>
                        <mi>x</mi>
                        <mo>∈</mo>
                        <mrow data-mjx-texclass="INNER">
                          <mo data-mjx-texclass="OPEN">{</mo>
                          <mn>0</mn>
                          <mo>,</mo>
                          <mn>1</mn>
                          <mo>,</mo>
                          <mn>2</mn>
                          <mo data-mjx-texclass="CLOSE">}</mo>
                        </mrow>
                        <mo>,</mo>
                      </mtd>
                      <mtd></mtd>
                      <mtd></mtd>
                      <mtd></mtd>
                    </mtr>
                    <mtr>
                      <mtd>
                        <mn>2</mn>
                        <mi>x</mi>
                        <mo>,</mo>
                        <mi>x</mi>
                        <mo>∈</mo>
                        <mrow data-mjx-texclass="INNER">
                          <mo data-mjx-texclass="OPEN">{</mo>
                          <mn>3</mn>
                          <mo>,</mo>
                          <mn>4</mn>
                          <mo data-mjx-texclass="CLOSE">}</mo>
                        </mrow>
                        <mo>,</mo>
                      </mtd>
                      <mtd></mtd>
                      <mtd></mtd>
                      <mtd></mtd>
                    </mtr>
                  </mtable>
                  <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
                </mrow>
              </math>,则<i>f</i>(0)=____,<i>f</i>(3)=____;</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>
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">{</mo>
                  <mtable columnspacing="1em" rowspacing="4pt">
                    <mtr>
                      <mtd>
                        <mn>3</mn>
                        <mi>x</mi>
                        <mo>−</mo>
                        <mn>1</mn>
                        <mo>,</mo>
                        <mi>x</mi>
                        <mo><</mo>
                        <mn>0</mn>
                        <mo>,</mo>
                      </mtd>
                      <mtd></mtd>
                      <mtd></mtd>
                      <mtd></mtd>
                    </mtr>
                    <mtr>
                      <mtd>
                        <msqrt>
                          <mi>x</mi>
                        </msqrt>
                        <mo>,</mo>
                        <mi>x</mi>
                        <mo>≥</mo>
                        <mn>0</mn>
                        <mo>,</mo>
                      </mtd>
                      <mtd></mtd>
                      <mtd></mtd>
                      <mtd></mtd>
                    </mtr>
                  </mtable>
                  <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
                </mrow>
              </math>____,</p>
            <p><i>f</i>(4)=____;</p>
            <p>(3) 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>
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">{</mo>
                  <mtable columnspacing="1em" rowspacing="4pt">
                    <mtr>
                      <mtd>
                        <mn>3</mn>
                        <mi>x</mi>
                        <mo>,</mo>
                        <mi>x</mi>
                        <mo>≤</mo>
                        <mo>−</mo>
                        <mn>2</mn>
                        <mo>,</mo>
                      </mtd>
                      <mtd></mtd>
                      <mtd></mtd>
                      <mtd></mtd>
                    </mtr>
                    <mtr>
                      <mtd>
                        <mn>2020</mn>
                        <mo>,</mo>
                        <mo>−</mo>
                        <mn>2</mn>
                        <mo><</mo>
                        <mi>x</mi>
                        <mo>≤</mo>
                        <mn>2</mn>
                      </mtd>
                      <mtd></mtd>
                      <mtd></mtd>
                      <mtd></mtd>
                    </mtr>
                    <mtr>
                      <mtd>
                        <msup>
                          <mi>x</mi>
                          <mrow>
                            <mn>2</mn>
                          </mrow>
                        </msup>
                        <mo>−</mo>
                        <mn>1</mn>
                        <mo>,</mo>
                        <mi>x</mi>
                        <mo>></mo>
                        <mn>2</mn>
                        <mo>,</mo>
                      </mtd>
                      <mtd></mtd>
                      <mtd></mtd>
                      <mtd></mtd>
                    </mtr>
                  </mtable>
                  <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
                </mrow>
              </math>,则<i>f</i>(-1)=____,<i>f</i>(0)=____,<i>f</i>(3)=____;</p>
            <p>(4) 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>
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">{</mo>
                  <mtable columnspacing="1em" rowspacing="4pt">
                    <mtr>
                      <mtd>
                        <msup>
                          <mi>x</mi>
                          <mrow>
                            <mn>2</mn>
                          </mrow>
                        </msup>
                        <mo>+</mo>
                        <mn>3</mn>
                        <mo>,</mo>
                        <mi>x</mi>
                        <mo><</mo>
                        <mn>0</mn>
                        <mo>,</mo>
                      </mtd>
                      <mtd></mtd>
                      <mtd></mtd>
                      <mtd></mtd>
                    </mtr>
                    <mtr>
                      <mtd>
                        <msqrt>
                          <mn>2</mn>
                          <mi>x</mi>
                          <mo>+</mo>
                          <mn>1</mn>
                        </msqrt>
                        <mo>,</mo>
                        <mi>x</mi>
                        <mo>≥</mo>
                        <mn>0</mn>
                        <mo>,</mo>
                      </mtd>
                      <mtd></mtd>
                      <mtd></mtd>
                      <mtd></mtd>
                    </mtr>
                  </mtable>
                  <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
                </mrow>
              </math>____.</p>
            <p>2.为了促销某品牌的薯片,某电商平台拟采取如下促销方式:每袋薯片原来的价格是6元,若顾客购买30袋及以上,则每袋的价格为5元.假设某顾客一次性购买这种薯片<i>x</i>袋,电商平台收款是<i>y</i>元.
            </p>
            <p>(1) 当<i>x</i><30,<i>x</i>∈<b>N</b>时,写出<i>y</i>与<i>x</i>的函数关系式;</p>
            <examinations :cardList="questionData[88] ? questionData[88][2] : []" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
            v-if="questionData" ></examinations>
          </div>
        </div>
      </div>
@@ -1503,205 +858,15 @@
    <div class="page-box" page="89">
      <div v-if="showPageList.indexOf(89) > -1">
        <ul class="page-header-odd fl al-end">
          <li>082</li>
          <li>082-084</li>
          <li>数学.基础模块</li>
          <li>上册</li>
        </ul>
        <div class="padding-116">
          <div class="bj">
            <p>(2) 用解析法表示函数<i>y</i>=<i>f</i>(<i>x</i>).</p>
            <p>3.某市居民家庭燃气收费采用分段计费方式,如表3-8所示.</p>
            <p>(1) 小黄家8月使用燃气46 m<sup>3</sup>,他家应付燃气费多少元;</p>
            <p>(2) 用解析法表示每户居民家庭每月缴纳燃气费<i>y</i>(元)与使用燃气量<i>x</i>(<i>m</i><sup>3</sup>)的函数关系,并画出函数的图像.</p>
            <p class="img">表3-8 某市居民家庭每月用燃气计费价格表</p>
            <p class="center"><img class="img-a" alt="" src="../../assets/images/0093-1.jpg" /></p>
          </div>
          <h3 id="c029">习题3.2<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) 某商场有某品牌的电动车30辆可供出售,每辆售价2 000元,那么该商场出售电动车的营业额<i>y</i>(元)与出售的数量<i>x</i>之间的函数关系用解析法表示正确的是( ).</p>
            <p>A.<i>y</i>=2 000<i>x</i></p>
            <p>B.<i>y</i>=2 000<i>x</i>,<i>x</i>≤30</p>
            <p>C.<i>y</i>=2 000<i>x</i>,<i>x</i>≤30,且<i>x</i>∈<b>N</b></p>
            <p>D.<i>y</i>=30<i>x</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>
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">{</mo>
                  <mtable columnspacing="1em" rowspacing="4pt">
                    <mtr>
                      <mtd>
                        <msup>
                          <mi>x</mi>
                          <mrow>
                            <mn>2</mn>
                          </mrow>
                        </msup>
                        <mo>,</mo>
                        <mi>x</mi>
                        <mo>≤</mo>
                        <mn>0</mn>
                        <mo>,</mo>
                      </mtd>
                      <mtd></mtd>
                      <mtd></mtd>
                      <mtd></mtd>
                    </mtr>
                    <mtr>
                      <mtd>
                        <mn>2</mn>
                        <mi>x</mi>
                        <mo>,</mo>
                        <mi>x</mi>
                        <mo>></mo>
                        <mn>0</mn>
                        <mo>,</mo>
                      </mtd>
                      <mtd></mtd>
                      <mtd></mtd>
                      <mtd></mtd>
                    </mtr>
                  </mtable>
                  <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
                </mrow>
              </math>,则<i>f</i>(-1)+<i>f</i>(1)=( ).</p>
            <p>A.0</p>
            <p>B.2</p>
            <p>C.3</p>
            <p>D.4</p>
            <p>2.市场上新上市的苹果价格是7.2元/kg,用解析法表示购买苹果应付款<i>y</i>(元)与购买质量<i>x</i>(kg )的函数关系.</p>
            <p>3.某快递公司在<i>A</i>城内的运费价格如表3-9所示,用<i>x</i>(kg )表示物品的质量,<i>y</i>(元)表示快递物品的运费.</p>
          </div>
        </div>
      </div>
    </div>
    <!-- 083 -->
    <div class="page-box" page="90">
      <div v-if="showPageList.indexOf(90) > -1">
        <ul class="page-header-box">
          <li>
            <p>第三单元 函数</p>
          </li>
          <li>
            <p><span>083</span></p>
          </li>
        </ul>
        <div class="padding-116">
          <div class="bj">
            <p class="img">表3-9</p>
            <p class="center"><img class="img-a" alt="" src="../../assets/images/0094-1.jpg" /></p>
            <p>(1) 某顾客在<i>A</i>城内快递物品,如果质量是2.5 kg,那么他应付快递费多少元?</p>
            <p>(2) 用解析法表示函数<i>y</i>=<i>f</i>(<i>x</i>).</p>
            <p>(3) 画出函数<i>y</i>=<i>f</i>(<i>x</i>)的图像.</p>
            <p>4.某城市公交车2号线路共设置10站,乘车收费标准为:乘客若乘坐不超过6站则收费2元;若乘坐超过6 站则收费4元.用<i>x</i>表示乘车的站数,<i>y</i>表示收费金额.</p>
            <p>(1) 用列表法表示公交车收费<i>y</i>与乘车的站数<i>x</i>之间的函数关系;</p>
            <p>(2) 用解析法表示函数<i>y</i>=<i>f</i>(<i>x</i>);</p>
            <p>(3) 画出函数<i>y</i>=<i>f</i>(<i>x</i>)的图像.</p>
            <p>5.某商户以每千克30元的价格购入100 kg
              某种野生菌,并把野生菌放入冷库中,但最多只能存放15天.据预测,这批野生菌的单价每天将上涨0.2元.在不考虑其他因素的情况下,这批野生菌的售价<i>y</i>(元)是存放天数<i>x</i>的函数.</p>
            <p>(1) 写出函数的定义域;</p>
            <p>(2) 用解析法表示<i>y</i>与<i>x</i>的函数关系;</p>
            <p>(3) 设一次性出售这批野生菌可获利<i>P</i>元,用解析法表示<i>P</i>与<i>x</i>的函数关系.</p>
            <p><span class="bj-sp"><b>水平二</b></span></p>
            <p>1.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>
                <mrow data-mjx-texclass="INNER">
                  <mo data-mjx-texclass="OPEN">{</mo>
                  <mtable columnspacing="1em" rowspacing="4pt">
                    <mtr>
                      <mtd>
                        <mi>x</mi>
                        <mo>+</mo>
                        <mn>2</mn>
                        <mo>,</mo>
                        <mi>x</mi>
                        <mo>≤</mo>
                        <mo>−</mo>
                        <mn>1</mn>
                        <mo>,</mo>
                      </mtd>
                      <mtd></mtd>
                      <mtd></mtd>
                      <mtd></mtd>
                    </mtr>
                    <mtr>
                      <mtd>
                        <msup>
                          <mi>x</mi>
                          <mrow>
                            <mn>2</mn>
                          </mrow>
                        </msup>
                        <mo>,</mo>
                        <mo>−</mo>
                        <mn>1</mn>
                        <mo><</mo>
                        <mi>x</mi>
                        <mo><</mo>
                        <mn>2</mn>
                        <mo>,</mo>
                      </mtd>
                      <mtd></mtd>
                      <mtd></mtd>
                      <mtd></mtd>
                    </mtr>
                    <mtr>
                      <mtd>
                        <mn>3</mn>
                        <mi>x</mi>
                        <mo>,</mo>
                        <mi>x</mi>
                        <mo>≥</mo>
                        <mn>2.</mn>
                      </mtd>
                      <mtd></mtd>
                      <mtd></mtd>
                      <mtd></mtd>
                    </mtr>
                  </mtable>
                  <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
                </mrow>
              </math>.</p>
            <p>(1) 求<i>f</i>(0)+<i>f</i>(4)的值;</p>
            <p>(2) 若<i>f</i>(<i>x</i>)=3,求<i>x</i>的值.</p>
            <p>2.某市出租车的计价标准:按出租车实际行驶路程计费,4 km及以下收费10元,超过4 km的部分按2元/km计费.</p>
          </div>
        </div>
      </div>
    </div>
    <!-- 084 -->
    <div class="page-box" page="91">
      <div v-if="showPageList.indexOf(91) > -1">
        <ul class="page-header-odd fl al-end">
          <li>084</li>
          <li>数学.基础模块</li>
          <li>上册</li>
        </ul>
        <div class="padding-116">
          <div class="bj">
            <p>(1) 如果某人搭乘出租车行驶了20 km,那么他需要付费多少元?</p>
            <p>(2) 请表示出租车收费<i>y</i>(元)与行驶的路程<i>x</i>(km) 之间的函数关系;</p>
            <p>(3) 画出(2) 中函数的图像.</p>
            <p>3.为鼓励居民节约用水,某自来水公司按表3-10的收费标准收取每户居民家庭每月水费.</p>
            <p class="img">表3-10</p>
            <p class="center"><img class="img-a" alt="" src="../../assets/images/0095-1.jpg" /></p>
            <p>(1) 小明家8月的用水量是13 <i>t</i>,小王家8月的用水量是16 <i>t</i>,小明家和小王家分别应付水费多少元?</p>
            <p>(2) 写出每户家庭居民每月付水费<i>y</i>(元)与用水量<i>x</i>(<i>t</i>)的函数关系,并画出该函数的图像;</p>
            <p>(3) 若小李家9月付水费66元,则他家这个月的用水量是多少?</p>
            <examinations :cardList="questionData[89]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
            v-if="questionData" ></examinations>
          </div>
          <h2 id="b017">3.3 函数的单调性和奇偶性<span class="fontsz1">>>>>>>>></span></h2>
          <h3 id="c030">3.3.1 函数的单调性<span class="fontsz2">>>></span></h3>
@@ -1711,6 +876,12 @@
          </p>
        </div>
      </div>
    </div>
    <!-- 083 -->
    <div class="page-box hidePage" page="90">
    </div>
    <!-- 084 -->
    <div class="page-box hidePage" page="91">
    </div>
    <!-- 085 -->
    <div class="page-box" page="92">
@@ -1976,39 +1147,8 @@
        <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 +1475,8 @@
                <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>
@@ -2580,11 +1717,12 @@
          <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>
              <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>
            <examinations :cardList="questionData[103] ? questionData[103][1] : []" :hideCollect="true" sourceType="json" v-if="questionData">
            </examinations>
          </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>
@@ -2719,9 +1857,8 @@
            <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] ? questionData[103][2] : []" :hideCollect="true" sourceType="json"
            v-if="questionData" ></examinations>
          </div>
        </div>
      </div>
@@ -2740,146 +1877,15 @@
        <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 +1895,14 @@
            <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">
          <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>
          <h3 id="c032">习题3.3<span class="fontsz2">>>></span></h3>
          <div class="bj" >
            <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>
@@ -3202,7 +2088,7 @@
    <div class="page-box" page="109">
      <div v-if="showPageList.indexOf(109) > -1">
        <ul class="page-header-odd fl al-end">
          <li>102</li>
          <li>102-103</li>
          <li>数学.基础模块</li>
          <li>上册</li>
        </ul>
@@ -3283,154 +2169,38 @@
          <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>
            <examinations :cardList="questionData[110]" :hideCollect="true" sourceType="json"
            v-if="questionData" ></examinations>
          </div>
        </div>
      </div>
    </div>
    <!-- 103 -->
    <div class="page-box" page="110">
      <div v-if="showPageList.indexOf(110) > -1">
        <ul class="page-header-box">
          <li>
            <p>第三单元 函数</p>
          </li>
          <li>
            <p><span>103</span></p>
          </li>
        </ul>
        <div class="padding-116">
          <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>
          </div>
        </div>
      </div>
    <div class="page-box hidePage" page="110">
    </div>
    <!-- 104 -->
    <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>
          <div class="bj">
            <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 +2235,6 @@
        </div>
      </div>
    </div>
    <!-- 108 -->
    <div class="page-box" page="115">
      <div v-if="showPageList.indexOf(115) > -1">
@@ -3495,7 +2264,6 @@
        </div>
      </div>
    </div>
    <!-- 109 -->
    <div class="page-box" page="116">
      <div v-if="showPageList.indexOf(116) > -1">
@@ -3517,298 +2285,28 @@
        </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>
          <div class="bj" >
            <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">
@@ -4102,7 +2600,6 @@
    },
    showNext(num) {
      const number = this.thinkOne.findIndex((item, index) => index == num);
      console.log(number);
      this.thinkOne[number].isShow = true;
      if (this.thinkIndex <= 2) {
        this.thinkIndex++;