testbookLayout.git

			@@ -1,5 +1,5 @@
			<template>
			<div class="chapter" num="1">
			<div class="chapter" num="2">
			<div class="page-box" page="8">
			<div v-if="showPageList.indexOf(8) > -1">
			<h1 id="a007">
			@@ -58,7 +58,7 @@

			<h3>1.1.1 集合与元素<span class="fontsz2">＞＞＞</span></h3>
			<p class="left">
			<img class="img-gn" alt="" src="../../assets/imgs/gcsk.jpg" />
			<img class="img-gn" alt="" src="../../assets/images/gcsk.jpg" />
			</p>

			<span> 观察几组对象： </span>
			@@ -67,11 +67,11 @@
			</p>
			<p>（2） 0～10中的所有奇数；</p>
			<p>（3）我国农历二十四节气；</p>
			<p>（4）方程x2-5x-6=0的解；</p>
			<p>（4）方程<i>x</i><sup>2</sup>-5<i>x</i>-6=0的解；</p>
			<p>（5）到一个角的两边距离相等的所有点.</p>

			<p class="left">
			<img class="img-gn" alt="" src="../../assets/imgs/fxlj.jpg" />
			<img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" />
			</p>

			<p>
			@@ -85,14 +85,14 @@
			<div class="bk">
			<div class="bj1">
			<p class="left">
			<img class="img-gn1" alt="" src="../../assets/imgs/gn.jpg" />
			<img class="img-gn1" alt="" src="../../assets/images/gn.jpg" />
			</p>
			</div>
			<p class="block">集合</p>
			<p class="block">集合与元素</p>
			</div>
			<p class="left">
			<img class="img-gn" alt="" src="../../assets/imgs/cxgk.jpg" />
			<img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" />
			</p>

			<p>
			@@ -139,8 +139,17 @@
			<li>上册</li>
			</ul>
			<div class="padding-116">
			<p><span class="zt-ls2">例</span>下列对象能否组成集合？</p>

			<p class="fl" >
			<span class="zt-ls2">例</span>
			<span class="t-" >下列对象能否组成集合？</span>
			<span class="btn-box" @click="openDialog(thinkTwo)">
			<svg xmlns="http://www.w3.org/2000/svg" width="16.545" height="18.112" viewBox="0 0 20.545 22.112">
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			transform="translate(-3761 14334.001)" />
			</svg>
			</span>
			</p>
			<ul>
			<li>
			（1）英文大写字母的全体；
			@@ -151,26 +160,15 @@
			transform="translate(-3327.144 15329)" />
			</svg>
			</span>

			<span class="btn-box" @click="openThinkingDialog">
			<svg xmlns="http://www.w3.org/2000/svg" width="16.545" height="18.112" viewBox="0 0 20.545 22.112">
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			transform="translate(-3761 14334.001)" />
			</svg>
			</span>
			</li>

			<li>
			<p v-if="chapter001.isShowExample1">
			<span class="zt-ls2">解</span>
			（1）能；
			</p>
			</li>

			<li>
			（2）我们班上高个子同学的全体；

			<span class="btn-box" @click="chapter001.isShowExample2 = !chapter001.isShowExample2">
			<svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
			<path class="a"
			@@ -178,16 +176,7 @@
			transform="translate(-3327.144 15329)" />
			</svg>
			</span>

			<span class="btn-box" @click="openThinkingDialog1">
			<svg xmlns="http://www.w3.org/2000/svg" width="16.545" height="18.112" viewBox="0 0 20.545 22.112">
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			transform="translate(-3761 14334.001)" />
			</svg>
			</span>
			</li>

			<li>
			<p v-if="chapter001.isShowExample2">
			<span class="zt-ls2">解</span>
			@@ -203,23 +192,13 @@
			transform="translate(-3327.144 15329)" />
			</svg>
			</span>

			<span class="btn-box" @click="openThinkingDialog2">
			<svg xmlns="http://www.w3.org/2000/svg" width="16.545" height="18.112" viewBox="0 0 20.545 22.112">
			<path class="a"
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			transform="translate(-3761 14334.001)" />
			</svg>
			</span>
			</li>

			<li>
			<p v-if="chapter001.isShowExample3">
			<span class="zt-ls2">解</span>
			（3）能；
			</p>
			</li>

			<li>
			（4）能被5整除的正整数的全体.
			<span class="btn-box" @click="chapter001.isShowExample4 = !chapter001.isShowExample4">
			@@ -229,15 +208,7 @@
			transform="translate(-3327.144 15329)" />
			</svg>
			</span>
			<span class="btn-box" @click="openThinkingDialog3">
			<svg xmlns="http://www.w3.org/2000/svg" width="16.545" height="18.112" viewBox="0 0 20.545 22.112">
			<path class="a"
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			transform="translate(-3761 14334.001)" />
			</svg>
			</span>
			</li>

			<li>
			<p v-if="chapter001.isShowExample4">
			<span class="zt-ls2">解</span>
			@@ -245,7 +216,6 @@
			</p>
			</li>
			</ul>

			<p>
			<span class="zt-ls2">分析</span>一些对象是否能够组成集合,要看条件所指的对象是不是确定
			的.不能确定的对象是不能组成集合的.
			@@ -256,36 +226,15 @@
			<img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
			</p>
			</div>
			<p class="block tl">
			同桌两人，其中一人举出一个集合的例子，另一人说出这个集合中的两个元素，再交换练习，看谁的正确率高.
			<!-- <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[11] ? questionData[11][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.你所在班级的任课教师能组成一个集合吗？如果能，请你说出这个集合中的所有元素.<input @change="changeAssess($event, 'text1')" maxlength="20"
			:value="chapter001.tkItem01.text1" class="assess" type="text" />
			</p>
			<p>2.说出由a，b，c，d，e组成的集合中的元素.</p>
			<div class="textIndentation">
			3.判断下列对象能否组成集合.
			<p>（1）很大的数；</p>
			<p>（2）一次函数y=2x的图像上所有的点.</p>
			</div>
			<p>
			4.请你举出两个集合的例子，再说一说它们的元素分别是什么.<input @change="changeAssess($event, 'text2')" maxlength="20"
			:value="chapter001.tkItem01.text2" class="assess" type="text" />
			</p>
			</div> -->

			<div class="bj">
			<examinations :cardList="questionData[11]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
			v-if="questionData" :isReal="false"></examinations>
			<examinations :cardList="questionData[11] ? questionData[11][2] : []" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
			v-if="questionData"></examinations>
			</div>
			</div>
			</div>
			@@ -302,17 +251,11 @@
			</li>
			</ul>
			<div class="padding-116">
			<div class="bj">
			<examinations :cardList="questionData[12]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
			v-if="questionData" :isReal="false"></examinations>
			</div>

			<h3>1.1.2 常见集合<span class="fontsz2">＞＞＞</span></h3>

			<div class="bk">
			<div class="bj1">
			<p class="left">
			<img class="img-gn1" alt="" src="../../assets/imgs/gn.jpg" />
			<img class="img-gn1" alt="" src="../../assets/images/gn.jpg" />
			</p>
			</div>
			<p class="block">有限集</p>
			@@ -320,7 +263,7 @@
			<p class="block">空集</p>
			</div>
			<p class="left">
			<img class="img-gn" alt="" src="../../assets/imgs/fxlj.jpg" />
			<img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" />
			</p>
			<p>
			在上节例（1）
			@@ -411,7 +354,7 @@
			<div class="bk">
			<div class="bj1">
			<p class="left">
			<img class="img-gn1" alt="" src="../../assets/imgs/zshg.jpg" />
			<img class="img-gn1" alt="" src="../../assets/images/zshg.jpg" />
			</p>
			</div>
			<p class="block">有理数：整数和分数的统称；</p>
			@@ -435,9 +378,6 @@
			<li>上册</li>
			</ul>
			<div class="padding-116">
			<examinations :cardList="questionData[13]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
			v-if="questionData" :isReal="false"></examinations>

			<p>全体自然数组成的集合，记作N，称为 <b>自然数集；</b></p>
			<p>全体正整数组成的集合，记作N*或N+，称为； <b>正整数集</b></p>
			<p>全体整数组成的集合，记作Z，称为 <b>整数集；</b></p>
			@@ -445,8 +385,6 @@
			<p>全体实数组成的集合，记作R，称为 <b>实数集.</b></p>

			<p><span class="zt-ls2">例2</span>用符号“∈”或“∉”填空.</p>
			<p></p>

			<ul>
			<li>
			（1） 1____N+；
			@@ -501,31 +439,10 @@
			<p class="left">
			<img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
			</p>

			<div class="bj">
			<div class="textIndentation" style="margin-top: 15px">
			1.判断下列对象能否组成集合.若能，指出其是有限集、无限集还是空集.<input @change="changeAssess($event, 'text3')" maxlength="20"
			:value="chapter001.tkItem01.text3" class="assess" type="text" />
			<p>（1）中国名山中的五岳；</p>
			<p>（2）所有面积较大的三角形的全体；</p>
			<p>（3）不等式3x+1＞0的所有实数解.</p>
			</div>

			<div class="textIndentation">
			2.请你举出3个集合的实例，并且指出：<input @change="changeAssess($event, 'text4')" maxlength="20"
			:value="chapter001.tkItem01.text4" class="assess" type="text" />
			<p>（1）哪些是有限集？（2）哪些是无限集？</p>
			<p>（3）哪些是空集？如果没有空集，请举出两个空集的例子.</p>
			</div>

			<div class="textIndentation">
			3.用符号“∈”或“∉”填空.
			<p>3.14______Q；　-5______Z；　π______Q；</p>
			<p>π______Z；　 2 3 ______Q；　 2 3 ______Z；</p>
			<p>2 3 ______R；　0______N+；　0______N.</p>
			</div>
			<examinations :cardList="questionData[13]" :hideCollect="true" sourceType="json" inputBc="#d3edfa" v-if="questionData">
			</examinations>
			</div>

			<h3>1.1.3 集合的表示<span class="fontsz2">＞＞＞</span></h3>
			<p>
			自然数集、正整数集、整数集、有理数集、实数集、空集有特定的符
			@@ -643,7 +560,7 @@
			<div class="padding-116">
			<div style="display: flex; align-items: center">
			<p><span class="zt-ls2">例2</span>用描述法表示下列集合.</p>
			<span class="btn-box" @click="openThinkingDialog4">
			<span class="btn-box" @click="openDialog(thinkThree)">
			<svg xmlns="http://www.w3.org/2000/svg" width="16.545" height="18.112" viewBox="0 0 20.545 22.112">
			<path class="a"
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			@@ -753,7 +670,7 @@
			</p>

			<p class="center openImgBox">
			<img class="img-c" alt="" src="../../assets/imgs/0019-1.jpg" style="width: 40%" />
			<img class="img-c" alt="" src="../../assets/images/0019-1.jpg" style="width: 40%" />
			</p>
			<p class="img">图1-1</p>

			@@ -771,7 +688,7 @@
			<p>第一单元集合</p>
			</li>
			<li>
			<p><span>009</span></p>
			<p><span>009-010</span></p>
			</li>
			</ul>
			<div class="padding-116">
			@@ -781,176 +698,36 @@
			<img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
			</p>
			</div>
			<p class="block tl">
			分别举出几个集合的例子，使用不同的方法表示这些集合.并与同学交流：哪些集合适合用列举法表示，哪些集合适合用描述法表示？
			</p>
			<examinations :cardList="questionData[16] ? questionData[16][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">
			<div class="textIndentation">
			1.用列举法表示下列集合.
			<p>
			（1）中国古代的四大发明组成的集合；<input @change="changeAssess($event, 'text5')" maxlength="200"
			:value="chapter001.tkItem01.text5" class="assess" type="text" />
			</p>
			<p>
			（2）小于16的正偶数组成的集合；
			<input @change="changeAssess($event, 'text6')" maxlength="200" :value="chapter001.tkItem01.text6"
			class="assess" type="text" />
			</p>
			<p>
			（3）方程x2+3x+2=0的解集.<input @change="changeAssess($event, 'text7')" maxlength="200"
			:value="chapter001.tkItem01.text7" class="assess" type="text" />
			</p>
			</div>

			<div class="textIndentation">
			2.用描述法表示下列集合.
			<p>
			（1）大于3的自然数组成的集合；<input @change="changeAssess($event, 'text8')" maxlength="200"
			:value="chapter001.tkItem01.text8" class="assess" type="text" />
			</p>
			<p>
			（2）所有正奇数组成的集合.<input @change="changeAssess($event, 'text9')" maxlength="200"
			:value="chapter001.tkItem01.text9" class="assess" type="text" />
			</p>
			</div>
			<div class="textIndentation">
			3.分别用列举法和描述法表示由5，10，15，20，25组成的集合.<input @change="changeAssess($event, 'text10')" maxlength="200"
			:value="chapter001.tkItem01.text10" class="assess" type="text" />
			</div>

			<div class="textIndentation">
			4.填空题.

			<p>（1）集合{x∈Z\|0≤x＜4}用列举法可以表示为_______；</p>
			<p>
			（2）集合 { 1 2 ， 1 4 ， 1 6 ， 1 8 ， 1 10 ， … }
			用描述法可以表示为_______.
			</p>
			</div>
			<examinations :cardList="questionData[16] ? questionData[16][2] : []" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
			v-if="questionData"></examinations>
			</div>

			<h2 id="c031">习题1.1<span class="fontsz2"> ＞＞＞</span></h2>

			<div class="bj">
			<p>
			<span class="bj-sp">水平一</span>
			</p>
			<div class="textIndentation">
			1.判断下列对象能否组成集合，能的画“√”，不能的画“×”.
			<p>（1）不超过π的正整数的全体.（　）</p>
			<p>（2）数学课本中所有的难题.（　）</p>
			<p>（3）中国的大城市的全体.（　）</p>
			<p>（4）平方后等于自身的数的全体.（　）</p>
			<p>（5）你们班上身高1.5 m以上的学生的全体.（　）</p>
			</div>

			<div class="textIndentation">
			2.选择题.
			<p>已知集合M={x\|x=4n，n∈N+}，则下列各数属于集合M的是（　）.</p>
			<p>A.0   B.2 007  C.2 008  D.2 009</p>
			</div>
			<examinations :cardList="questionData[16] ? questionData[16][3] : []" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
			v-if="questionData"></examinations>
			</div>
			</div>
			</div>
			</div>
			<!-- 010 -->
			<div class="page-box" page="17">
			<div v-if="showPageList.indexOf(17) > -1">
			<ul class="page-header-odd fl al-end">
			<li>010</li>
			<li>数学.基础模块</li>
			<li>上册</li>
			</ul>
			<div class="padding-116">
			<div class="bj" style="margin-top: 50px">
			<div class="textIndentation">
			3.填空题.
			<p>（1）用符号“∈”或“∉”填空.</p>
			<p>
			2 5 ______Q，　 2 5 ______Z，　 2 5 ______R，　 2 ______Q，　 2
			______R.
			</p>

			<p>
			（2）你们班班委会成员组成的集合用列举法可以表示为<input @change="changeAssess($event, 'text11')" maxlength="200"
			:value="chapter001.tkItem01.text11" class="assess" type="text" />
			</p>
			<p>
			（3） 4的整数倍组成的集合可以表示为
			<input @change="changeAssess($event, 'text12')" maxlength="200" :value="chapter001.tkItem01.text12"
			class="assess" type="text" />
			</p>
			<p>
			（4）已知集合A={2，3，2a}，若10∈A，则a的值为
			<input @change="changeAssess($event, 'text13')" maxlength="200" :value="chapter001.tkItem01.text13"
			class="assess" type="text" />
			</p>
			</div>

			<div class="textIndentation">
			4.用适当的方法表示下列集合.
			<p>
			（1）不超过10的正偶数组成的集合；
			<input @change="changeAssess($event, 'text15')" maxlength="200" :value="chapter001.tkItem01.text15"
			class="assess" type="text" />
			</p>
			<p>
			（2）方程x2-3x+2=0的解集；
			<input @change="changeAssess($event, 'text16')" maxlength="200" :value="chapter001.tkItem01.text16"
			class="assess" type="text" />
			</p>
			<p>
			（3）由所有锐角三角形组成的集合.
			<input @change="changeAssess($event, 'text17')" maxlength="200" :value="chapter001.tkItem01.text17"
			class="assess" type="text" />
			</p>
			</div>

			<div class="textIndentation">
			5.用描述法表示下列集合，并在数轴上表示出来.
			<p>（1）不等式x+4≥0的解集；</p>
			<textarea cols="30" rows="4" v-model="chapterData.txt1" placeholder="请输入内容"
			class="w100 ta-br textarea-text" @input="handleChapterData"></textarea>
			<p>（2）不等式3x≤9的解集；</p>
			<p>（3）不等式-x＜3的解集.</p>
			</div>

			<p>
			<span class="bj-sp">水平二</span>
			</p>
			<p>
			1.已知集合M={x\|x2=a}中只有一个元素，请写出由a的可能取值组成的集合.
			<input @change="changeAssess($event, 'text18')" maxlength="200" :value="chapter001.tkItem01.text18"
			class="assess" type="text" />
			</p>
			<p>
			2.被7除余1的整数组成的集合可以表示为
			<input @change="changeAssess($event, 'text19')" maxlength="200" :value="chapter001.tkItem01.text19"
			class="assess" type="text" />
			</p>
			<p>3.用描述法表示平面直角坐标系中第二象限内的所有点组成的集合.</p>
			</div>

			<h2 id="c031">
			1.2 集合之间的关系<span class="fontsz2">＞＞＞</span>
			</h2>

			<h3>1.2.1 子集<span class="fontsz2">＞＞＞</span></h3>

			<p class="left">
			<img class="img-gn" alt="" src="../../assets/imgs/gcsk.jpg" />
			<img class="img-gn" alt="" src="../../assets/images/gcsk.jpg" />
			</p>

			<p>
			我国提出并贯彻新发展理念，着力推进高质量发展，自2012年以来的十年间，我国城镇化率提高11.6%，2021年末城镇化率达到64.7%.若2021年年末全国城镇常住人口组成一个集合A，全国人口组成一个集合B，则集合A与集合B之间有什么关系呢？
			</p>
			</div>
			</div>
			</div>
			<!-- 010 -->
			<div class="page-box hidePage" page="17">
			</div>
			<!-- 011 -->
			<div class="page-box" page="18">
			@@ -965,14 +742,14 @@
			</ul>
			<div class="padding-116">
			<p class="left">
			<img class="img-gn" alt="" src="../../assets/imgs/fxlj.jpg" />
			<img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" />
			</p>
			<p>
			我们知道，全国城镇常住人口中的每个人都是全国人口中的一员，因此，集合A中的任何一个元素都是集合B中的元素，这时我们就说集合A与集合B有包含关系.
			</p>
			<p>同样，整数集与有理数集、有理数集与实数集也有包含关系.</p>
			<p class="left">
			<img class="img-gn" alt="" src="../../assets/imgs/cxgk.jpg" />
			<img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" />
			</p>

			<p>
			@@ -985,7 +762,7 @@
			<div class="bk">
			<div class="bj1">
			<p class="left">
			<img class="img-gn1" alt="" src="../../assets/imgs/gn.jpg" />
			<img class="img-gn1" alt="" src="../../assets/images/gn.jpg" />
			</p>
			</div>
			<p class="block">子集</p>
			@@ -999,12 +776,12 @@
			</p>

			<div class="center openImgBox">
			<img class="img-c" alt="" src="../../assets/imgs/0022-1.jpg" style="width: 40%" />
			<img class="img-c" alt="" src="../../assets/images/0022-1.jpg" style="width: 40%" />
			<p class="img" style="font-size: 14px">图1-2</p>
			</div>

			<div class="img-rights openImgBox">
			<img class="img-c" alt="" src="../../assets/imgs/0022-2.jpg" />
			<img class="img-c" alt="" src="../../assets/images/0022-2.jpg" />
			<p class="img" style="color: #ac92c4; font-size: 14px">图1-3</p>
			</div>
			<p>
			@@ -1027,18 +804,16 @@
			</ul>
			<div class="padding-116">
			<div class="center openImgBox">
			<img class="img-c" alt="" src="../../assets/imgs/0023-1.jpg" style="margin-top: 30px" />
			<img class="img-b" alt="" src="../../assets/images/0023-1.jpg" style="margin-top: 30px" />
			<p class="img" style="font-size: 14px">图1-4</p>
			</div>

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

			<div class="img-float openImgBox">
			<img class="img-c" alt="" src="../../assets/imgs/0023-2.jpg" />
			<img class="img-c" alt="" src="../../assets/images/0023-2.jpg" />
			<p class="img" style="font-size: 14px">图1-5</p>
			</div>
			<ul>
			@@ -1081,38 +856,21 @@
			</p>
			</li>
			</ul>

			<div class="bk-hzjl">
			<div class="bj1-hzjl">
			<p class="left">
			<img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
			</p>
			</div>
			<p class="block tl">符号“∈”和“⊆”有什么不同？与同学交流讨论.</p>
			<examinations :cardList="questionData[19][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">
			<div class="textIndentation">
			1.用符号“∈”“∉”“⊆”“⊇”“⊈”填空.
			<p>（1）π______{x\|x≤3.141 6}；</p>
			<p>（2） ∅____{0}；</p>
			<p>（3） {a，b，c，d}______{b，d，e，f，a}；</p>
			<p>（4） {1，3，5，7，9，15}______{1，3，5，15}.</p>
			</div>
			<p>
			2.在某次体育测试中，百米跑和跳高都及格时，才能被评为及格.若A表示百米跑及格的同学组成的集合，B表示跳高及格的同学组成的集合，C表示体育测试及格的同学组成的集合，请指出A，B，C之间的包含关系，并指出其中的子集.<input
			@change="changeAssess($event, 'text20')" maxlength="20" :value="chapter001.tkItem01.text20"
			class="assess" type="text" />
			</p>
			<p>
			3.写出集合{2，3}的所有子集.
			<input @change="changeAssess($event, 'text21')" maxlength="20" :value="chapter001.tkItem01.text21"
			class="assess" type="text" />
			</p>
			<examinations :cardList="questionData[19][2]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
			v-if="questionData"></examinations>
			</div>
			</div>
			</div>
			@@ -1132,7 +890,7 @@
			<h3>1.2.2 真子集与相等集合<span class="fontsz2">＞＞＞</span></h3>

			<p class="left">
			<img class="img-gn" alt="" src="../../assets/imgs/wttc.jpg" />
			<img class="img-gn" alt="" src="../../assets/images/wttc.jpg" />
			</p>

			<div class="textIndentation">
			@@ -1146,7 +904,7 @@
			</div>

			<p class="left">
			<img class="img-gn" alt="" src="../../assets/imgs/fxlj.jpg" />
			<img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" />
			</p>

			<p>对于“问题提出”中的（1），显然有P⊆M.</p>
			@@ -1155,7 +913,7 @@
			</p>

			<p class="left">
			<img class="img-gn" alt="" src="../../assets/imgs/cxgk.jpg" />
			<img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" />
			</p>
			<p>
			对于两个集合A，B，如果集合A是集合B的子集，且集合B中至少有一个元素不属于集合A，那么集合A叫作集合B的真子集（如图1-6所示），记作A⫋B（或B⫌A），读作“A真包含于B”或“B真包含A”.
			@@ -1167,7 +925,7 @@
			<p>这些集合之间的关系可以用图1-7直观表示.</p>

			<div class="center openImgBox">
			<img class="img-c" alt="" src="../../assets/imgs/0024-2.jpg" style="width: 50%" />
			<img class="img-c" alt="" src="../../assets/images/0024-2.jpg" style="width: 50%" />
			<p class="img" style="font-size: 14px">图1-7</p>
			</div>
			<p>
			@@ -1190,7 +948,6 @@
			<li>
			<span class="zt-ls2">例1</span>写出集合 A={a, b, c}的所有子集,
			并说出集合 A 有几个真子集.

			<span class="btn-box" @click="
			chapter001.isShowExample19 = !chapter001.isShowExample19
			">
			@@ -1201,7 +958,7 @@
			</svg>
			</span>

			<span class="btn-box" @click="openThinkingDialog5">
			<span class="btn-box" @click="openDialog(thinkOne)">
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			@@ -1221,30 +978,17 @@
			</div>
			</li>
			</ul>
			<p></p>
			<!--
			<p>
			<span class="zt-ls2">分析</span>为了不重不漏地写出集合A
			的所有子集,我们应分为以下几个步骤来写.
			</p>

			<p>（1） ∅是所有集合的子集，所以先写出 ∅；</p>
			<p>（2）写出含有一个元素的子集：{a}，{b}，{c}；</p>
			<p>（3）写出含有两个元素的子集：{a，b}，{a，c}，{b，c}；</p>
			<p>（4）写出含有三个元素的子集：{a，b，c}.</p> -->

			<div class="bk-hzjl">
			<div class="bj1-hzjl">
			<p class="left">
			<img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
			</p>
			</div>
			<p class="block tl">
			请举出两个有包含关系的集合，然后说出它们之间的包含关系，指出其中的子集或者真子集，并用Venn图表示它们之间的关系，与同学互相交流.
			</p>
			<examinations :cardList="questionData[21]" :hideCollect="true" sourceType="json" v-if="questionData">
			</examinations>
			</div>
			<p class="left">
			<img class="img-gn" alt="" src="../../assets/imgs/fxlj.jpg" />
			<img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" />
			</p>

			<p>
			@@ -1252,7 +996,7 @@
			</p>

			<p class="left">
			<img class="img-gn" alt="" src="../../assets/imgs/cxgk.jpg" />
			<img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" />
			</p>
			<p>
			一般地，对于两个集合A，B，如果A⊆B，且B⊆A，那么此时集合A与集合B的元素是完全一样的，称集合A与集合B
			@@ -1277,12 +1021,11 @@
			<p>第一单元集合</p>
			</li>
			<li>
			<p><span>015</span></p>
			<p><span>015-016</span></p>
			</li>
			</ul>
			<div class="padding-116">
			<p><span class="zt-ls2">例2</span>说出下列每对集合之间的关系.</p>

			<ul>
			<li>
			（1） A={1，2，3，4}和B={1，3，4}；
			@@ -1332,120 +1075,43 @@
			<p><span class="zt-ls2">解</span>（3） C=∅.</p>
			</li>
			</ul>

			<div class="bk-hzjl">
			<div class="bj1-hzjl">
			<p class="left">
			<img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
			</p>
			</div>
			<p class="block tl">
			与同学交流讨论，说一说子集、真子集、相等集合的区别与联系.
			</p>
			<examinations :cardList="questionData[22] ? questionData[22][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">
			<div class="textIndentation">
			1.用符号“∈”“∉”“=”“⫋”“⫌”填空.
			<p>（1） 4______{1，2，3，4，5}；</p>
			<p>（2） {a，b，c}______{c，b，a}；</p>
			<p>（3） {a}______{b，c，d，a}；</p>
			<p>（4） {x\|x＜5}______{x\|x＜3}；</p>
			<p>（5） {x\|x是正方形}______{x\|x是矩形}.</p>
			</div>

			<p>
			2.写出集合A={a，b，c，d}的所有子集，并说出A有几个非空真子集.
			<textarea cols="30" rows="4" v-model="chapterData.txt2" placeholder="请输入内容"
			class="w100 ta-br textarea-text" @input="handleChapterData"></textarea>
			</p>
			<p>
			3.设集合A={x\|x是正方形}，B={x\|x是矩形}，C={x\|x是平行四边形}，写出它们之间所有的包含关系.
			<textarea cols="30" rows="4" v-model="chapterData.txt2" placeholder="请输入内容"
			class="w100 ta-br textarea-text" @input="handleChapterData"></textarea>
			</p>
			<examinations :cardList="questionData[22] ? questionData[22][2] : []" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
			v-if="questionData"></examinations>
			</div>

			<h2 id="c031">习题1.2<span class="fontsz2"> ＞＞＞</span></h2>

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

			<p>1.设集合M={x\|x＞-1}，则下列关系式中正确的是（　）.</p>
			<p>A.0⫋M B. − 2 ∈ M C.∅∈M D.{0}⫋M</p>
			<p>2.设集合A={x∈Z\|x＜5}，B={x∈Z\|x≤3}，则集合A与B的关系是______.</p>
			<p>
			3.已知集合A={4+a，-4}，B={2，b}.若A=B，求a，b的值.
			<input @change="changeAssess($event, 'text22')" maxlength="20" :value="chapter001.tkItem01.text22"
			class="assess" type="text" />
			</p>
			<p>
			4.举例说明A⊆B与A⫋B的区别.
			<textarea cols="30" rows="4" v-model="chapterData.txt3" placeholder="请输入内容"
			class="w100 ta-br textarea-text" @input="handleChapterData"></textarea>
			</p>
			<examinations :cardList="questionData[22] ? questionData[22][3] : []" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
			v-if="questionData"></examinations>
			</div>
			</div>
			</div>
			</div>
			<!-- 016 -->
			<div class="page-box" page="23">
			<div v-if="showPageList.indexOf(23) > -1">
			<ul class="page-header-odd fl al-end">
			<li>016</li>
			<li>数学.基础模块</li>
			<li>上册</li>
			</ul>
			<div class="padding-116">
			<div class="bj">
			<p>
			<span class="bj-sp">水平二</span>
			</p>

			<p>
			1.设集合M={x\|x=3n，n∈N}，P={x\|x=6n，n∈N}，则下列关系式中正确的是（　）.
			</p>
			<p>A.M=P B.M⫋P C.P⫋M D.P⊈M</p>
			<p>
			2.设集合A={x\|x是三角形}，B={x\|x是等腰三角形}，C={x\|x是等边三角形}，D={x\|x是直角三角形}，写出它们之间所有的包含关系.<textarea cols="30" rows="4"
			v-model="chapterData.txt4" placeholder="请输入内容" class="w100 ta-br textarea-text"
			@input="handleChapterData"></textarea>
			</p>

			<div class="textIndentation">
			3.设集合M={x\|x2-4=0}，P={a}.
			<p>
			（1）用列举法表示集合M；<textarea cols="30" rows="4" v-model="chapterData.txt5" placeholder="请输入内容"
			class="w100 ta-br textarea-text" @input="handleChapterData"></textarea>
			</p>
			<p>（2）写出集合M的所有子集；</p>
			<p>（3）若P⊆M，求a的值.</p>
			</div>
			</div>

			<h2 id="c031">
			1.3 集合的运算<span class="fontsz2">＞＞＞＞＞＞</span>
			</h2>

			<p class="left">
			<img class="img-gn" alt="" src="../../assets/imgs/gcsk.jpg" />
			<img class="img-gn" alt="" src="../../assets/images/gcsk.jpg" />
			</p>

			<div class="img-rights openImgBox">
			<img class="img-c" alt="" src="../../assets/imgs/0027-1.jpg" />
			<img class="img-c" alt="" src="../../assets/images/0027-1.jpg" />
			<p class="img" style="font-size: 14px">图1-8</p>
			</div>

			<p>
			到2035年，我国要发展成为体育强国.北京市曾在2008年和2022年分别举办了第29届夏季奥运会和第24届冬季奥运会，
			因此成为世界上第一个既举办过夏季奥运会又举办过冬季奥运会的城市.现在用集合的观点来分析这个问题，如图1-8所示，我们用集合U表示世界上所有的城市，用集合A表示到2022年年底举办过夏季奥运会的城市，用集合B表示到2022年年底举办过冬季奥运会的城市.
			</p>

			<p>
			（1）图中哪部分表示既举办过夏季奥运会又举办过冬季奥运会的城市？
			</p>
			@@ -1458,6 +1124,9 @@
			</p>
			</div>
			</div>
			</div>
			<!-- 016 -->
			<div class="page-box hidePage" page="23">
			</div>
			<!-- 017 -->
			<div class="page-box" page="24">
			@@ -1474,10 +1143,10 @@
			<h3>1.3.1 交集<span class="fontsz2">＞＞＞</span></h3>

			<p class="left">
			<img class="img-gn" alt="" src="../../assets/imgs/fxlj.jpg" />
			<img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" />
			</p>
			<div class="img-rights openImgBox">
			<img class="img-c" alt="" src="../../assets/imgs/0028-1.jpg" />
			<img class="img-c" alt="" src="../../assets/images/0028-1.jpg" />
			<p class="img" style="font-size: 14px">图1-9</p>
			</div>
			<p>我们来研究本节“观察思考”中的问题 (1).</p>
			@@ -1485,20 +1154,19 @@
			到2022年年底举办过夏季奥运会的城市组成集合A，举办过冬季奥运会的城市组成集合B，同时举办过两种奥运会的城市也组成一个集合C，这个集合中的元素既是集合A中的元素，又是集合B中的元素.也就是说，集合C是集合A与集合B的所有公共元素组成的集合，如图1-9所示.
			</p>
			<div class="img-rights openImgBox">
			<img class="img-c" alt="" src="../../assets/imgs/0028-2.jpg" />
			<img class="img-c" alt="" src="../../assets/images/0028-2.jpg" />
			<p class="img" style="font-size: 14px">图1-10</p>
			</div>

			<p>
			再如，集合M={1，2}，集合P={1，2，3}，集合Q={1，2，5，6}，则集合M中的元素既是集合P中的元素，又是集合Q中的元素.集合M是集合P和集合Q中的所有公共元素组成的集合，如图1-10所示.
			</p>

			<p class="left">
			<img class="img-gn" alt="" src="../../assets/imgs/cxgk.jpg" />
			<img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" />
			</p>

			<div class="img-rights openImgBox">
			<img class="img-c" alt="" src="../../assets/imgs/0028-3.jpg" />
			<img class="img-c" alt="" src="../../assets/images/0028-3.jpg" />
			<p class="img" style="font-size: 14px">图1-11</p>
			</div>
			<p>
			@@ -1541,7 +1209,7 @@
			</svg>
			</span>

			<span class="btn-box" @click="openThinkingDialog6">
			<span class="btn-box" @click="openDialog(thinkFour)">
			<svg xmlns="http://www.w3.org/2000/svg" width="16.545" height="18.112" viewBox="0 0 20.545 22.112">
			<path class="a"
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			@@ -1559,7 +1227,7 @@
			<div class="bk">
			<div class="bj1">
			<p class="left">
			<img class="img-gn1" alt="" src="../../assets/imgs/gn.jpg" />
			<img class="img-gn1" alt="" src="../../assets/images/gn.jpg" />
			</p>
			</div>
			<p class="block">交集</p>
			@@ -1567,7 +1235,7 @@

			<p>观察可知 A∩B={x\|-1＜x≤3}.</p>
			<div class="center openImgBox">
			<img class="img-c" alt="" src="../../assets/imgs/0028-4.jpg" />
			<img class="img-f" alt="" src="../../assets/images/0028-4.jpg" />
			<p class="img" style="font-size: 14px">图1-12</p>
			</div>
			</div>
			@@ -1602,14 +1270,11 @@
			</p>
			</li>
			</ul>

			<div class="center openImgBox">
			<img class="img-c" alt="" src="../../assets/imgs/0029-1.jpg" />
			<img class="img-f" alt="" src="../../assets/images/0029-1.jpg" />
			<p class="img" style="font-size: 14px">图1-13</p>
			</div>

			<p>观察可知A∩B={x\|x＜-1}.</p>

			<ul>
			<li>
			<span class="zt-ls2">例4</span>设集合A={（x，y）\|x+2y-6=0}，B={（x，y）\|x-4y=0}，求A∩B.
			@@ -1623,7 +1288,7 @@
			</svg>
			</span>

			<span class="btn-box" @click="openThinkingDialog7">
			<span class="btn-box" @click="openDialog(thinkFive)">
			<svg xmlns="http://www.w3.org/2000/svg" width="16.545" height="18.112" viewBox="0 0 20.545 22.112">
			<path class="a"
			d="M3771.2-14311.889a2.356,2.356,0,0,1-1.727-.626c-.027-.054-.053-.1-.079-.148l0-.007c-.123-.224-.2-.371-.076-.629a.869.869,0,0,1,.784-.471.205.205,0,0,1,.158.079.205.205,0,0,0,.158.079.187.187,0,0,0,.038.1.143.143,0,0,0,.117.05h.158a.573.573,0,0,0,.471.158,2.2,2.2,0,0,0,.916-.3l.023-.011a.572.572,0,0,1,.471-.158.575.575,0,0,1,.626.626.526.526,0,0,1,.036.409.664.664,0,0,1-.349.375A3.582,3.582,0,0,1,3771.2-14311.889Zm-1.885-1.723h-.155a.718.718,0,0,1-.784-.63.38.38,0,0,1-.021-.3.976.976,0,0,1,.492-.485l4.86-1.252a1.047,1.047,0,0,1,.784.626c.151.3-.128.61-.471.784l-4.705,1.256Zm-.155-1.885H3769a.716.716,0,0,1-.784-.626c-.149-.3.129-.611.471-.784l4.234-1.1v-.158l-.021.007a7.808,7.808,0,0,1-1.861.31,5.3,5.3,0,0,1-3.137-.942,5.789,5.789,0,0,1-2.666-4.076,6.421,6.421,0,0,1,1.256-5.018,7.038,7.038,0,0,1,2.194-1.568,7.848,7.848,0,0,1,2.666-.472,6.43,6.43,0,0,1,2.979.784,4.958,4.958,0,0,1,2.2,2.194,5.522,5.522,0,0,1,.313,5.177,13.113,13.113,0,0,1-1.256,1.882l-.313.313a2.156,2.156,0,0,0-.78,1.244l0,.012a1.731,1.731,0,0,1-1.727,1.723l-.313.158-3.292.939Zm1.256-6.271v1.256h1.41v-1.256Zm.784-4.234c.718,0,1.1.271,1.1.784a.925.925,0,0,1-.316.783l-.468.156a2.235,2.235,0,0,0-.63.471l-.012.024a2.2,2.2,0,0,0-.3.918v.155h1.1v-.155a1.2,1.2,0,0,1,.313-.629.543.543,0,0,0,.315-.153c.007,0,.315,0,.315-.16a1.226,1.226,0,0,0,.626-.626,2.277,2.277,0,0,0,.313-1.1,1.409,1.409,0,0,0-.626-1.252,2.337,2.337,0,0,0-1.569-.471,2.258,2.258,0,0,0-2.507,2.353l1.252.154A1.121,1.121,0,0,1,3771.2-14326Zm-6.51,9.645a.769.769,0,0,1-.549-.237.772.772,0,0,1-.235-.549.772.772,0,0,1,.235-.548l.939-.939a.781.781,0,0,1,.55-.234.772.772,0,0,1,.547.234.772.772,0,0,1,.238.549.772.772,0,0,1-.238.549l-.939.938A.769.769,0,0,1,3764.686-14316.356Zm13.174-.157a.774.774,0,0,1-.549-.234l-.943-.942a.678.678,0,0,1-.233-.47.678.678,0,0,1,.233-.47.774.774,0,0,1,.549-.234.774.774,0,0,1,.549.234l.942.939a.427.427,0,0,1,.228.324.74.74,0,0,1-.228.618A.774.774,0,0,1,3777.859-14316.514Zm2.9-6.351h-1.414c-.469-.158-.784-.474-.784-.784a.743.743,0,0,1,.784-.784h1.414a.743.743,0,0,1,.784.784A.743.743,0,0,1,3780.761-14322.864Zm-17.566-.158h-1.41c-.469-.157-.784-.473-.784-.784a.743.743,0,0,1,.784-.784h1.41a.743.743,0,0,1,.784.784A.743.743,0,0,1,3763.195-14323.022Zm13.861-5.723a.759.759,0,0,1-.529-.237.776.776,0,0,1-.235-.549.772.772,0,0,1,.235-.549l.939-.938a.44.44,0,0,1,.413-.238.759.759,0,0,1,.529.238.772.772,0,0,1,.235.549.772.772,0,0,1-.235.548l-.942.939A.435.435,0,0,1,3777.055-14328.745Zm-11.429,0a.776.776,0,0,1-.55-.237l-.939-1.1a.678.678,0,0,1-.235-.469.678.678,0,0,1,.235-.47.772.772,0,0,1,.549-.238.772.772,0,0,1,.549.238l.939,1.1a.675.675,0,0,1,.238.47.675.675,0,0,1-.238.47A.767.767,0,0,1,3765.626-14328.745Zm5.724-2.273a.743.743,0,0,1-.784-.785v-1.413c.157-.469.473-.784.784-.784a.743.743,0,0,1,.784.784v1.413A.743.743,0,0,1,3771.35-14331.019Z"
			@@ -1696,57 +1361,26 @@
			</div>
			</li>
			</ul>

			<div class="textIndentation">
			根据交集的含义可以知道，对于任意两个集合A，B，有下述性质.
			<p>（1） A∩B=B∩A；（2） A∩A=A，A∩∅=∅；</p>
			<p>（3） A∩B⊆A，A∩B⊆B；（4）若A⊆B，则A∩B=A.</p>
			</div>

			<div class="bk-hzjl">
			<div class="bj1-hzjl">
			<p class="left">
			<img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
			</p>
			</div>
			<p class="block tl">
			1.与同学交流讨论例4的答案，若表示为A∩B={4，1}可不可以？为什么？
			<textarea cols="30" rows="4" v-model="chapterData.txt6" placeholder="请输入内容"
			class="w100 ta-br textarea-text" @input="handleChapterData"></textarea>
			</p>
			<p class="block tl">
			2.你能解释交集的这四条性质吗？与同学交流讨论.
			<textarea cols="30" rows="4" v-model="chapterData.txt7" placeholder="请输入内容"
			class="w100 ta-br textarea-text" @input="handleChapterData"></textarea>
			</p>
			<examinations :cardList="questionData[25] ? questionData[25][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">
			<div class="textIndentation">
			1.填空题.
			<p>
			（1） {-1，0，1}∩{0，1，2}=<input @change="changeAssess($event, 'text23')" maxlength="20"
			:value="chapter001.tkItem01.text23" class="assess" type="text" />

			；
			</p>
			<p>
			（2） {x，y}∩{a，b，c}=<input @change="changeAssess($event, 'text24')" maxlength="20"
			:value="chapter001.tkItem01.text24" class="assess" type="text" />；
			</p>
			<p>
			（3） {x\|x是等腰三角形}∩{x\|x是直角三角形}=<input @change="changeAssess($event, 'text25')" maxlength="20"
			:value="chapter001.tkItem01.text25" class="assess" type="text" />
			；
			</p>
			<p>
			（4） N+∩Z=<input @change="changeAssess($event, 'text26')" maxlength="20"
			:value="chapter001.tkItem01.text26" class="assess" type="text" />.
			</p>
			</div>
			<examinations :cardList="questionData[25] ? questionData[25][2] : []" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
			v-if="questionData"></examinations>
			</div>
			</div>
			</div>
			@@ -1763,70 +1397,45 @@
			</li>
			</ul>
			<div class="padding-116">
			<div class="bj">
			<div class="textIndentation">
			2.求下列集合的交集.
			<p>
			（1）
			设集合A={x\|x是20以内的正奇数}，B={x\|x是20以内能被3整除的正整数}；
			</p>

			<textarea cols="30" rows="4" v-model="chapterData.txt8" placeholder="请输入内容"
			class="w100 ta-br textarea-text" @input="handleChapterData"></textarea>
			<p>（2）设集合A={x\|-1＜x≤3}，B={x\|0≤x≤5}；</p>
			<p>（3）设集合A={x\|x＞0}，B={x\|x≤5}；</p>
			<p>（4）设集合A={x\|x＜3}，B={x\|x＜-2}；</p>
			<p>（5）设集合A={x\|x＞5}，B={x\|x＜4}；</p>
			<p>（6）设集合A={（x，y）\|x+y-3=0}，B={（x，y）\|2x+y-4=0}.</p>
			</div>
			</div>

			<h3>1.3.2 并集<span class="fontsz2">＞＞＞</span></h3>

			<p class="left">
			<img class="img-gn" alt="" src="../../assets/imgs/fxlj.jpg" />
			<img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" />
			</p>

			<div class="img-rights openImgBox">
			<img class="img-c" alt="" src="../../assets/imgs/0030-1.jpg" />
			<img class="img-c" alt="" src="../../assets/images/0030-1.jpg" />
			<p class="img" style="font-size: 14px">图1-14</p>
			</div>

			<p>我们再来研究本节“观察思考”中的问题（2）.</p>
			<p>
			显然，我们只要把到2022年年底举办过夏季奥运会的城市或者举办过冬季奥运会的城市全部合并在一起就行了，这样合并在一起的城市就组成了一个新的集合，这个集合中的元素属于A或者属于B，如图1-14所示.
			</p>
			<div class="img-rights openImgBox">
			<img class="img-c" alt="" src="../../assets/imgs/0030-2.jpg" />
			<img class="img-c" alt="" src="../../assets/images/0030-2.jpg" />
			<p class="img" style="font-size: 14px">图1-15</p>
			</div>
			<p>
			再如，集合P={a，b，c}，集合Q={a，b，d，e}，集合M={a，b，c，d，e}，集合M中的元素是由集合P或集合Q中的元素组成的（如图1-15所示）.
			</p>

			<div class="bk">
			<div class="bj1">
			<p class="left">
			<img class="img-gn1" alt="" src="../../assets/imgs/gn.jpg" />
			<img class="img-gn1" alt="" src="../../assets/images/gn.jpg" />
			</p>
			</div>
			<p class="block">并集</p>
			</div>

			<p class="left">
			<img class="img-gn" alt="" src="../../assets/imgs/cxgk.jpg" />
			<img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" />
			</p>
			<p>
			一般地，设A，B是两个集合，由所有属于A或者属于B的元素组成的集合C叫作集合A与集合B的并集，记作A∪B，读作“A并B”，即
			</p>
			<p>C=A∪B={x\|x∈A或x∈B}.</p>
			<p>图1-16（1）（2）中的涂色部分就表示集合A与集合B的并集.</p>

			<div class="center openImgBox">
			<img class="img-c" alt="" src="../../assets/imgs/0030-3.jpg" />
			<img class="img-b" alt="" src="../../assets/images/0030-3.jpg" />
			<p class="img" style="font-size: 14px">图1-16</p>
			</div>

			=
			</div>
			</div>
			@@ -1875,25 +1484,20 @@
			</p>
			</li>
			</ul>

			<div class="center openImgBox">
			<img class="img-c" alt="" src="../../assets/imgs/0031-1.jpg" />
			<img class="img-f" alt="" src="../../assets/images/0031-1.jpg" />
			<p class="img" style="font-size: 14px">图1-17</p>
			</div>

			<p>观察可知A∪B={x\|-3＜x＜7}.</p>

			<div class="bk-hzjl">
			<div class="bj1-hzjl">
			<p class="left">
			<img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
			</p>
			<examinations :cardList="questionData[27] ? questionData[27][1]:[] " :hideCollect="true" sourceType="json" v-if="questionData">
			</examinations>
			</div>
			<p class="block tl">与同学交流讨论例2：</p>
			<p class="block tl">（1） -1，7是否属于A∪B？为什么？</p>
			<p class="block tl">（2） -3，3是否属于A∪B？为什么？</p>
			</div>

			<ul>
			<li>
			<span class="zt-ls2">例3</span>设集合A={x\|x>4}, B={x\|x≤-2}, 求A∪B.
			@@ -1914,25 +1518,22 @@
			</p>
			</li>
			</ul>

			<div class="center openImgBox">
			<img class="img-c" alt="" src="../../assets/imgs/0031-2.jpg" />
			<img class="img-f" alt="" src="../../assets/images/0031-2.jpg" />
			<p class="img" style="font-size: 14px">图1-18</p>
			</div>

			<p>观察可知A∪B={x\|x＞4或x≤-2}.</p>

			<p>根据并集的含义可以知道，对于任意两个集合A，B，有下述性质.</p>
			<p>（1） A∪B=B∪A；（2） A∪A=A，A∪∅=A；</p>
			<p>（3） A⊆A∪B，B⊆A∪B；（4）若B⊆A，则A∪B=A.</p>

			<div class="bk-hzjl">
			<div class="bj1-hzjl">
			<p class="left">
			<img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
			</p>
			<examinations :cardList="questionData[27] ? questionData[27][2]:[] " :hideCollect="true" sourceType="json" v-if="questionData">
			</examinations>
			</div>
			<p class="block tl">你能解释并集的这四条性质吗？与同学交流讨论.</p>
			</div>
			</div>
			</div>
			@@ -1953,70 +1554,19 @@
			<img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
			</p>
			<div class="bj">
			<div class="textIndentation">
			1.填空题.

			<p>
			（1） {-1，0，1}∪{0，1，2}=<input @change="changeAssess($event, 'text27')" maxlength="20"
			:value="chapter001.tkItem01.text27" class="assess" type="text" />

			；
			</p>
			<p>
			（2） {x，y}∪{a，b，c}=<input @change="changeAssess($event, 'text28')" maxlength="20"
			:value="chapter001.tkItem01.text28" class="assess" type="text" />；
			</p>
			<p>
			（3） {x\|x是等腰三角形}∪{x\|x是直角三角形}=<input @change="changeAssess($event, 'text29')" maxlength="20"
			:value="chapter001.tkItem01.text29" class="assess" type="text" />；
			</p>
			<p>
			（4） N+∪Z =<input @change="changeAssess($event, 'text30')" maxlength="20"
			:value="chapter001.tkItem01.text30" class="assess" type="text" />.
			</p>
			</div>

			<div class="textIndentation">
			2.求下列集合的并集.

			<p>（1）设集合A={x\|-1＜x≤3}，B={x\|0≤x≤5}；</p>
			<textarea cols="30" rows="4" v-model="chapterData.txt9" placeholder="请输入内容"
			class="w100 ta-br textarea-text" @input="handleChapterData"></textarea>

			<p>（2）设集合A={x\|x＞-3}，B={x\|x≤2}；</p>
			<textarea cols="30" rows="4" v-model="chapterData.txt10" placeholder="请输入内容"
			class="w100 ta-br textarea-text" @input="handleChapterData"></textarea>

			<p>（3）设集合A={x\|x＜3}，B={x\|x＜-2}；</p>
			<textarea cols="30" rows="4" v-model="chapterData.txt11" placeholder="请输入内容"
			class="w100 ta-br textarea-text" @input="handleChapterData"></textarea>

			<p>（4）设集合A={x\|x＜0}，B={x\|x≥5}.</p>
			<textarea cols="30" rows="4" v-model="chapterData.txt12" placeholder="请输入内容"
			class="w100 ta-br textarea-text" @input="handleChapterData"></textarea>
			</div>

			<p>3.用符号“⊆”或“⊇”填空：A∩B______A∪B.</p>
			<p>
			4.已知集合A={1，4，7}，B={1，3，5，7，8}，C={1，2，4，7}，求（1）
			A∩B；<input @change="changeAssess($event, 'text31')" maxlength="20" :value="chapter001.tkItem01.text31"
			class="assess" type="text" />
			（2） A∩C；<input @change="changeAssess($event, 'text32')" maxlength="20" :value="chapter001.tkItem01.text32"
			class="assess" type="text" />（3）（A∩B）∪（A∩C）.<input @change="changeAssess($event, 'text33')"
			maxlength="20" :value="chapter001.tkItem01.text33" class="assess" type="text" />
			</p>
			<examinations :cardList="questionData[28]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
			v-if="questionData"></examinations>
			</div>

			<h3>1.3.3 全集与补集<span class="fontsz2">＞＞＞</span></h3>

			<p class="left">
			<img class="img-gn" alt="" src="../../assets/imgs/fxlj.jpg" />
			<img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" />
			</p>

			<p>我们继续来研究本节“观察思考”中的问题（3） .</p>

			<div class="img-rights openImgBox">
			<img class="img-c" alt="" src="../../assets/imgs/0032-1.jpg" />
			<img class="img-c" alt="" src="../../assets/images/0032-1.jpg" />
			<p class="img" style="font-size: 14px">图1-19</p>
			</div>

			@@ -2041,21 +1591,21 @@
			<div class="bk">
			<div class="bj1">
			<p class="left">
			<img class="img-gn1" alt="" src="../../assets/imgs/gn.jpg" />
			<img class="img-gn1" alt="" src="../../assets/images/gn.jpg" />
			</p>
			</div>
			<p class="block">全集</p>
			<p class="block">补集</p>
			</div>
			<p class="left">
			<img class="img-gn" alt="" src="../../assets/imgs/cxgk.jpg" />
			<img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" />
			</p>
			<p>
			一般地，如果一个集合含有我们研究的问题中涉及的全部元素，那么这个集合叫作全集，常用符号U表示.设U是全集，A是U的一个子集，则由U中所有不属于A的元素组成的集合叫作子集A在全集U中的补集（或余集），记作∁UA，读作“A在全集U中的补集”.即
			</p>
			<p>∁UA={x\|x∈U且x∉A}.</p>
			<div class="img-float openImgBox">
			<img class="img-c" alt="" src="../../assets/imgs/0033-1.jpg" />
			<img class="img-c" alt="" src="../../assets/images/0033-1.jpg" />
			<p class="img" style="font-size: 14px">图1-20</p>
			</div>
			<p>图1-20中的涂色部分就表示∁UA.</p>
			@@ -2067,7 +1617,6 @@
			根据全集和补集的含义可以知道，对于全集U和它的一个子集A，有下述性质.
			</p>
			<p>（1） A∪（∁UA）=U；（2） A∩（∁UA）=∅；（3） ∁U（∁UA）=A.</p>

			<div class="bk-hzjl">
			<div class="bj1-hzjl">
			<p class="left">
			@@ -2075,13 +1624,13 @@
			</p>
			</div>
			<p class="block tl">
			你能解释全集和补集的这三条性质吗？与同学交流讨论.
			<examinations :cardList="questionData[29] ? questionData[29][1] :[]" :hideCollect="true" sourceType="json" v-if="questionData">
			</examinations>
			</p>
			</div>
			<p>
			<span class="zt-ls2">例1</span>设全集U={x\|x是小于10的自然数}，集合A={2，5，6，7}，B={1，3，5，7}.求：
			</p>

			<ul>
			<li>
			（1） A∩B和A∪B；
			@@ -2205,7 +1754,6 @@
			</div>
			</li>
			</ul>

			<div class="bk-hzjl">
			<div class="bj1-hzjl">
			<p class="left">
			@@ -2213,7 +1761,8 @@
			</p>
			</div>
			<p class="block tl">
			根据例1，与同学一起交流讨论：（∁UA）∩（∁UB）和∁U（A∪B）的结果，看看它们之间存在什么关系.
			<examinations :cardList="questionData[29] ? questionData[29][2] :[]" :hideCollect="true" sourceType="json" v-if="questionData">
			</examinations>
			</p>
			</div>
			</div>
			@@ -2362,12 +1911,12 @@
			</ul>

			<div class="center openImgBox">
			<img class="img-c" alt="" src="../../assets/imgs/0034-1.jpg" />
			<img class="img-d" alt="" src="../../assets/images/0034-1.jpg" />
			<p class="img" style="font-size: 14px">图1-21</p>
			</div>

			<div class="img-rights openImgBox">
			<img class="img-c" alt="" src="../../assets/imgs/0034-2.jpg" />
			<img class="img-c" alt="" src="../../assets/images/0034-2.jpg" />
			<p class="img" style="font-size: 14px">图1-22</p>
			</div>

			@@ -2386,39 +1935,8 @@
			<img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
			</p>
			<div class="bj">
			<p>
			1.已知全集U={2，3，5，7，11，13，17，19}，集合A={3，5，7，11}，B={2，7，13，19}.求：
			</p>
			<p>
			（1） A∪B，A∩B；
			<input @change="changeAssess($event, 'text34')" maxlength="20" :value="chapter001.tkItem01.text34"
			class="assess" type="text" />
			（2） ∁UA，∁UB；
			<input @change="changeAssess($event, 'text35')" maxlength="20" :value="chapter001.tkItem01.text35"
			class="assess" type="text" />（3） ∁U（A∪B），∁U（A∩B）.
			<input @change="changeAssess($event, 'text36')" maxlength="20" :value="chapter001.tkItem01.text36"
			class="assess" type="text" />
			</p>
			<p>
			2.已知全集U={1，2，3，4，5，6，7，8}，∁UA={1，4，7}，求集合A.
			<input @change="changeAssess($event, 'text37')" maxlength="20" :value="chapter001.tkItem01.text37"
			class="assess" type="text" />
			</p>
			<p>
			3.设全集为R，集合A={x\|x≥-2}，B={x\|x＜3}，则∁RA=
			<input @change="changeAssess($event, 'text38')" maxlength="20" :value="chapter001.tkItem01.text38"
			class="assess" type="text" />， ∁RB=
			<input @change="changeAssess($event, 'text39')" maxlength="20" :value="chapter001.tkItem01.text39"
			class="assess" type="text" />，（∁RA）∩B=
			<input @change="changeAssess($event, 'text40')" maxlength="20" :value="chapter001.tkItem01.text40"
			class="assess" type="text" />.
			</p>
			<p>
			4.设全集U=R，集合A={x\|-5≤x＜1}，B={x\|x≤2}，求A∩B，A∪B，（∁UA）∩B，（∁UA）∪B，（∁UB）∩A，（∁UB）∪A.
			</p>

			<textarea cols="30" rows="4" v-model="chapterData.txt13" placeholder="请输入内容"
			class="w100 ta-br textarea-text" @input="handleChapterData"></textarea>
			<examinations :cardList="questionData[30]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
			v-if="questionData"></examinations>
			</div>
			</div>
			</div>
			@@ -2427,219 +1945,21 @@
			<div class="page-box" page="31">
			<div v-if="showPageList.indexOf(31) > -1">
			<ul class="page-header-odd fl al-end">
			<li>024</li>
			<li>024-025</li>
			<li>数学.基础模块</li>
			<li>上册</li>
			</ul>
			<div class="padding-116">
			<h2 id="c031">习题1.3<span class="fontsz2"> ＞＞＞</span></h2>

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

			<div class="textIndentation">
			1.填空题.

			<p>
			（1）
			已知集合A={m，a，t，h，s}，B={e，n，g，l，i，s，h}，则A∪B=_________，A∩B=______；
			</p>
			<p>
			（2）
			若集合A={x\|x是直角三角形}，B={x\|x是等边三角形}，则A∩B=_________；
			</p>
			<p>（3）若集合A={x\|x是正方形}，B={x\|x是矩形}，则A∪B=______；</p>
			<p>
			（4）
			设集合A={x\|x＞1}，B={x\|-2＜x＜3}，则A∪B=______，A∩B=______.
			</p>
			</div>

			<div class="textIndentation">
			2.选择题.
			<p>（1）设全集U={x∈N+\|x≤9}，集合A={2，3，5，7}，则∁UA=（　）.</p>
			<p>A.{0，4，6，8，9}</p>
			<p>B.{0，1，4，6，8，9}</p>
			<p>C.{1，4，6，8，9}</p>
			<p>D.{4，6，8，9}</p>
			<p>（2）已知集合A={1，2，a2}，B={-1，4}，A∩B={4}，则a=（　）.</p>
			<p>A.-2或2</p>
			<p>B.4</p>
			<p>C.-2</p>
			<p>D.2</p>
			</div>
			<p>3.设全集为R，集合A={x\|-1＜x＜3}，B={x\|x＜-2}.求：</p>
			<p>（1） ∁RA，∁RB；（2）（∁RA）∩（∁RB）；（3）（∁RA）∪（∁RB）.</p>

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

			<div class="textIndentation">
			1.选择题.

			<p>
			（1）
			设全集为R，集合M={x\|-3≤x＜2}，P={x\|x≥0}，则∁R（M∩P）=（　）.
			</p>
			<p>A.{x\|0≤x＜2}</p>
			<p>B.{x\|x≥2}</p>
			<p>C.{x\|x＜0或x≥2}</p>
			<p>D.{x\|x≤0或x＞2}</p>
			</div>
			<examinations :cardList="questionData[31]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
			v-if="questionData"></examinations>
			</div>
			</div>
			</div>
			</div>
			<!-- 025 -->
			<div class="page-box" page="32">
			<div v-if="showPageList.indexOf(32) > -1">
			<ul class="page-header-box">
			<li>
			<p>第一单元集合</p>
			</li>
			<li>
			<p><span>025</span></p>
			</li>
			</ul>
			<div class="padding-116">
			<div class="bj">
			<p>
			（2）设全集U=R，集合 A = { x \| − 4 ＜ x ＜ 1 2 }
			，B={x\|x≤-4}，则∁R（A∪B）=（　）.
			</p>
			<p>
			A.<math display="0">
			<mrow data-mjx-texclass="INNER">
			<mo data-mjx-texclass="OPEN">{</mo>
			<mi>x</mi>
			<mrow>
			<mo stretchy="false">\|</mo>
			</mrow>
			<mi>x</mi>
			<mo>＜</mo>
			<mfrac>
			<mn>1</mn>
			<mn>2</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>
			<mi>x</mi>
			<mrow>
			<mo stretchy="false">\|</mo>
			</mrow>
			<mi>x</mi>
			<mo>≤</mo>
			<mfrac>
			<mn>1</mn>
			<mn>2</mn>
			</mfrac>
			<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>
			<mi>x</mi>
			<mrow>
			<mo stretchy="false">\|</mo>
			</mrow>
			<mi>x</mi>
			<mo>＞</mo>
			<mfrac>
			<mn>1</mn>
			<mn>2</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>
			<mi>x</mi>
			<mrow>
			<mo stretchy="false">\|</mo>
			</mrow>
			<mi>x</mi>
			<mo>≥</mo>
			<mfrac>
			<mn>1</mn>
			<mn>2</mn>
			</mfrac>
			<mo data-mjx-texclass="CLOSE">}</mo>
			</mrow>
			</math>
			</p>

			<p>
			（3）
			已知全集U={1，2，3，4}，集合A={3，4}，M=∁UA，A=∁UP，则M与P的关系是（　）.
			</p>
			<p>A.M=∁UP</p>
			<p>B.M=P</p>
			<p>C.P⊈M</p>
			<p>D.M⊈P</p>
			<p>
			（4）
			设全集U={a，b，c，d}，集合A={a}，B={a，b，c}，则下列集合为空集的是（　）.
			</p>
			<p>A.A∩（∁UB）</p>
			<p>B.（∁UA）∩（∁UB）</p>
			<p>C.（∁UA）∩B</p>
			<p>D.A∩B</p>

			<div class="textIndentation">
			2.请将“交集”或“并集”填在下面的空格里.

			<p>
			（1）
			求方程（x+2）（x+1）=0的解集，就是求方程x+2=0和x+1=0的解集的_________；
			</p>
			<p>
			（2）求不等式组<math display="0">
			<mrow data-mjx-texclass="INNER">
			<mo data-mjx-texclass="OPEN">{</mo>
			<mtable columnspacing="1em" rowspacing="4pt">
			<mtr>
			<mtd>
			<mi>x</mi>
			<mo>＞</mo>
			<mn>3</mn>
			<mo>，</mo>
			</mtd>
			<mtd></mtd>
			</mtr>
			<mtr>
			<mtd>
			<mi>x</mi>
			<mo>−</mo>
			<mn>2</mn>
			<mo>≤</mo>
			<mn>4</mn>
			</mtd>
			<mtd></mtd>
			</mtr>
			</mtable>
			<mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
			</mrow>
			</math>的解集就是求不等式<i>x</i>＞3和<i>x</i>-2≤4的解集的______.
			</p>
			</div>
			</div>
			</div>
			</div>
			<div class="page-box hidePage" page="32">
			</div>
			<!-- 026 -->
			<div class="page-box" page="33">
			@@ -2691,19 +2011,15 @@
			<h2 id="c031" style="font-size: 25px">
			单元小结<span class="fontsz2">＞＞＞＞＞＞</span>
			</h2>

			<p class="bj2">
			<b>学习导图</b>
			</p>

			<div class="center openImgBox">
			<img class="img-c" alt="" src="../../assets/imgs/0038-1.jpg" />
			<img class="img-b" alt="" src="../../assets/images/0038-1.jpg" />
			</div>

			<p class="bj2">
			<b>学习指导</b>
			</p>

			<div class="textIndentation">
			1.集合及其表示.
			<p>（1）由一些确定的对象所组成的整体就称为集合.</p>
			@@ -2722,7 +2038,6 @@
			（6）集合主要有两种表示方法：列举法和描述法.两种表示方法各有特点.
			</p>
			</div>

			<div class="textIndentation">
			2.集合之间的关系.
			<p>
			@@ -2768,130 +2083,26 @@
			<p>第一单元集合</p>
			</li>
			<li>
			<p><span>029</span></p>
			<p><span>029-030</span></p>
			</li>
			</ul>

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

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

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

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

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

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

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			padding: 0;
			text-align: center;
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			display: flex;
			justify-content: center;
			">
			<span style=""> 解题思路 </span>
			<svg style="position: absolute; right: 10px; cursor: pointer" @click="thinkingDialog1 = false" t="1718596022986"
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			<div slot="title" class="think-header" style="padding: 0; text-align: center; color: #333;display:flex;justify-content: center;">
			<span style=""> 分析 </span>
			<svg style="position: absolute; right:10px;cursor: pointer;" @click="thinkingDialog = false" t="1718596022986"
			class="icon" viewBox="0 0 1024 1024" version="1.1" xmlns="http://www.w3.org/2000/svg" p-id="4252" width="20"
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			<path
			@@ -2903,147 +2114,26 @@
			</svg>
			</div>
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			<li>
			<div style="display: flex">
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			<span style="position: relative">
			<img src="../../assets/images/icon/blue-group.png" alt="" style="margin-right: 10px" />
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			<p class="txt-p">{{ ballText }}</p>
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			padding: 0;
			text-align: center;
			color: #333;
			display: flex;
			justify-content: center;
			">
			<span style=""> 解题思路 </span>
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			<li>
			<div style="display: flex">
			<span style="position: relative">
			<img src="../../assets/images/icon/blue-group.png" alt="" style="margin-right: 10px" />
			</span>
			<p style="width: 130px">
			<span style="color: #00a1e9; font-weight: bold; margin-right: 15px" class="zt-ls2">分析</span>
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			text-align: center;
			color: #333;
			display: flex;
			justify-content: center;
			">
			<span> 解题步骤 </span>
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			<div v-if="item.isShow" style="display: flex">
			<span style="position: relative">
			<span style="position: absolute; top: 16px; left: 13px; color: #fff">{{ index + 1 }}</span>
			<span style="position: absolute; top: 4px; left: 13px; color: #fff">{{ index + 1 }}</span>
			<img src="../../assets/images/icon/blue-group.png" alt="" style="margin-right: 10px"
			v-if="index < stepOne.length - 1" />
			<img src="../../assets/images/icon/blue.png" alt="" v-if="index == stepOne.length - 1"
			v-if="index < thinkOne.length - 1" />
			<img src="../../assets/images/icon/blue.png" alt="" v-if="index == thinkOne.length - 1"
			style="margin-right: 10px" />
			</span>
			<p class="txt-p">{{ item.txt }}</p>
			<p class="txt-p" v-html="item"></p>
			</div>
			</li>
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			<div @click="showNextChange(stepIndex)" style="
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			flex-direction: column;
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			<el-dialog :visible.sync="thinkingDialog3" width="40%" :append-to-body="true" :show-close="false">
			<div slot="title" style="
			padding: 0;
			text-align: center;
			color: #333;
			display: flex;
			justify-content: center;
			">
			<span style=""> 解题思路 </span>
			<svg style="position: absolute; right: 10px; cursor: pointer" @click="thinkingDialog3 = false" t="1718596022986"
			class="icon" viewBox="0 0 1024 1024" version="1.1" xmlns="http://www.w3.org/2000/svg" p-id="4252" width="20"
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			<ul>
			<li v-for="(item, index) in thinkOne" :key="index">
			<div v-if="item.isShow" style="display: flex">
			<span style="position: relative">
			<span style="position: absolute; top: 16px; left: 13px; color: #fff">{{ index + 1 }}</span>
			<img src="../../assets/images/icon/blue-group.png" alt="" style="margin-right: 10px" />
			<!-- <img src="../../assets/images/icon/blue.png" alt="" style="margin-right: 10px" /> -->
			</span>
			<p class="txt-p">{{ item.txt }}</p>
			</div>
			</li>
			</ul>
			<div @click="showNext(thinkIndex)" style="
			display: flex;
			flex-direction: column;
			align-items: center;
			justify-content: center;
			">
			<img src="../../assets/images/icon/mouse.png" alt="" v-if="thinkIndex <= 4" />
			<img src="../../assets/images/icon/mouse.png" alt="" v-if="showIndex < thinkData.length - 1" />
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			@@ -3060,7 +2150,6 @@

			<script>
			import examinations from '@/components/examinations/index.vue'
			// import graffiti from '@/components/graffiti/index.vue'
			import { getResourcePath } from '@/assets/methods/resources'
			import {
			getCollectResource,
			@@ -3138,19 +2227,9 @@
			},
			collectImg: require('../../assets/images/icon/heart.png'),
			collectCheck: require('../../assets/images/icon/heart-check.png'),

			sahdi: '',

			dialogVisible: false,
			thinkingDialog: false,
			thinkingDialog1: false,
			thinkingDialog2: false,
			thinkingDialog3: false,
			stepDialog: false,
			ballText: '',
			videoPath: '',
			stepIndex: 1,
			thinkIndex: 1,
			collectResourceList: [],
			chapterData: {
			isCollectImg: false,
			@@ -3158,28 +2237,6 @@
			txtOne: '',
			txtTwo: '',
			},
			thinkOne: [
			{
			txt: '分析为了不重不漏地写出集合A 的所有子集,我们应分为以下几个步骤来写.',
			isShow: true,
			},
			{
			txt: '（1） ∅是所有集合的子集，所以先写出 ∅；',
			isShow: false,
			},
			{
			txt: '（2）写出含有一个元素的子集：{a}，{b}，{c}；',
			isShow: false,
			},
			{
			txt: '（3）写出含有两个元素的子集：{a，b}，{a，c}，{b，c}；',
			isShow: false,
			},
			{
			txt: '（4）写出含有三个元素的子集：{a，b，c}',
			isShow: false,
			},
			],
			stepOne: [
			{
			txt: '1:(1)函数f(x)=3x2+1的定义域是R，对任意XER，都有-XER',
			@@ -3190,200 +2247,24 @@
			isShow: false,
			},
			],
			dragQuestion: [
			{
			analysisCon: null,
			answer: ['A', 'B', 'C'],
			difficulty: 0,
			id: '7BC7B760',
			isCollect: false,
			isComplete: false,
			isRight: null,
			isUnfold: '',
			isUserAnswer: false,
			number: 1,
			option: [
			{
			img: '',
			index: '010311',
			txt: '胆小的',
			value: 'A',
			isShow: true,
			},
			{
			img: '',
			index: '010312',
			txt: '善良的',
			value: 'B',
			isShow: true,
			},
			{
			img: '',
			index: '010313',
			txt: '沉稳的',
			value: 'C',
			isShow: true,
			},
			],
			optionStyle: 'Txt',
			questionType: 'drag',
			score: 2,
			stem: {
			0: '蚂蚁队长走路昂首挺胸、步伐坚定，它是一只(',
			1: {
			data: 'span',
			num: 0,
			},
			2: ')蚂蚁;小蚂蚁走起路来小心翼翼，眼神飘忽不定，它是一只(',
			3: {
			data: 'span',
			num: 1,
			},
			4: ')蚂蚁;蚂蚁小妹面带微笑，时刻愿意帮助大家，它是一只(',
			5: {
			data: 'span',
			num: 2,
			},
			6: ' )蚂蚁',
			},
			stemStyle: 'RichTxt',
			type: '拖拽题',
			userAnswer: [
			{
			vlaue: '',
			txt: '',
			},
			{
			vlaue: '',
			txt: '',
			},
			{
			vlaue: '',
			txt: '',
			},
			],
			},
			// 新增
			thinkData:[],
			thinkOne: [
			'分析为了不重不漏地写出集合A 的所有子集,我们应分为以下几个步骤来写.',
			'（1） ∅是所有集合的子集，所以先写出 ∅；',
			'（2）写出含有一个元素的子集：{a}，{b}，{c}；',
			'（3）写出含有两个元素的子集：{a，b}，{a，c}，{b，c}；',
			'（4）写出含有三个元素的子集：{a，b，c}'
			],
			}
			},

			created() {
			const localData = JSON.parse(localStorage.getItem('chapter001'))
			if (localData) {
			this.chapter001 = { ...Object.assign(this.chapter001, localData) }
			}
			},
			methods: {
			changeAssess(e, val) {
			this.chapter001.tkItem01[val] = e.target.value
			localStorage.setItem('chapter001', JSON.stringify(this.chapter001))
			},
			handleChapterData() {
			localStorage.setItem('math-chapterData', JSON.stringify(this.chapterData))
			},
			async getPath() {
			this.videoPath = await getResourcePath('a28cd862d61b5df2201406b76e9f01b0')
			console.log(this.videoPath, '0988')
			},
			// getQuestionData() {
			// axios
			// .get(this.config.activeBook.resourceUrl + "/question.json")
			// .then((res) => {
			// let oldAnswer = localStorage.getItem(
			// this.config.activeBook.name + "oldAnswerData"
			// );
			// if (oldAnswer) {
			// oldAnswer = JSON.parse(oldAnswer);
			// console.log("旧数据", oldAnswer);
			// if (oldAnswer[9]) {
			// for (let index = 0; index < res.data.data.length; index++) {
			// const item = res.data.data[index];
			// if (item.infoList.length) {
			// for (
			// let cindex = 0;
			// cindex < item.infoList.length;
			// cindex++
			// ) {
			// const citem = item.infoList[cindex];
			// const question = oldAnswer[9].find(
			// (ditem) => ditem.id == citem.id
			// );
			// if (question) {
			// citem.userAnswer = question.userAnswer;
			// }
			// }
			// }
			// }
			// }
			// }
			// this.questionData = res.data.data;
			// });
			// },
			handleCollect(type) {
			if (type == 'img') {
			this.handleCollectResource(
			'722FE833',
			'',
			'images/0101-1.jpg',
			'图片',
			'json',
			'图3-15'
			)
			} else if (type == 'video') {
			this.handleCollectResource(
			'a28cd862d61b5df2201406b76e9f01b0',
			'a28cd862d61b5df2201406b76e9f01b0',
			'',
			'视频',
			'bits',
			'视频：判数函数奇偶性的方法和步骤'
			)
			// setCollectResource(this.config.activeBook.bookId,[])
			}
			this.handleChapterData()
			},
			openMathDiaolog() {
			this.dialogVisible = true
			},
			openThinkingDialog() {
			this.thinkingDialog1 = true
			this.ballText =
			'（1）因为“英文大写”这一条件是明确的，所以“英文大写字母”是确定的对象.'
			},
			openThinkingDialog1() {
			this.thinkingDialog1 = true
			this.ballText =
			'（2）因为“高个子”这一条件不明确，所以它所指的对象不确定.'
			},

			openThinkingDialog2() {
			this.thinkingDialog1 = true
			this.ballText =
			'（3）解不等式2x-7＜0得 x ＜ 7 2 .任意一个实数，都可以和 7 2比较大小，所以不等式2x-7＜0的所有实数解都是确定的对象.'
			},

			openThinkingDialog3() {
			this.thinkingDialog1 = true
			this.ballText =
			'（4）任意一个正整数，能否被5整除是确定的，所以能被5整除的正整数能组成集合.'
			},
			openThinkingDialog4() {
			this.thinkingDialog2 = true
			this.sahdi =
			'用描述法表示集合，关键是找出集合中元素所具有的共同特征.根据对共同特征的描述必须能判定任一对象是否属于这个集合.'
			},
			openThinkingDialog5() {
			console.log(789)
			this.thinkingDialog3 = true
			},
			openThinkingDialog6() {
			this.thinkingDialog2 = true
			this.sahdi =
			'可先将已知集合在数轴上表示出来，然后观察得出交集，但是一定要注意分析端点的情况.'
			},
			openThinkingDialog7() {
			this.thinkingDialog2 = true
			this.sahdi = `集合A表示方程x+2y-6=0的解集，集合B表示方程x-4y=0
			thinkTwo:[
			"（1）因为“英文大写”这一条件是明确的，所以“英文大写字母”是确定的对象.",
			"（2）因为“高个子”这一条件不明确，所以它所指的对象不确定.",
			"（3）解不等式2x-7＜0得 x ＜ 7 2 .任意一个实数，都可以和 7 2比较大小，所以不等式2x-7＜0的所有实数解都是确定的对象.",
			"（4）任意一个正整数，能否被5整除是确定的，所以能被5整除的正整数能组成集合."
			],
			thinkThree:['用描述法表示集合，关键是找出集合中元素所具有的共同特征.根据对共同特征的描述必须能判定任一对象是否属于这个集合.'],
			thinkFour:['可先将已知集合在数轴上表示出来，然后观察得出交集，但是一定要注意分析端点的情况.'],
			thinkFive:[`集合A表示方程x+2y-6=0的解集，集合B表示方程x-4y=0
			的解集，两个解集的交集就是二元一次方程组

			<math display="block">
			@@ -3418,22 +2299,20 @@
			</mrow>
			</math>

			<p>的解集.</p> `
			},
			showNext(num) {
			const number = this.thinkOne.findIndex((item, index) => index == num)
			console.log(number)
			this.thinkOne[number].isShow = true
			if (this.thinkIndex <= 3) {
			this.thinkIndex++
			}
			},
			showNextChange(num) {
			const number = this.stepOne.findIndex((item, index) => index == num)
			this.stepOne[number].isShow = true
			if (this.stepIndex < 2) {
			this.stepIndex++
			}
			<p>的解集.</p> `],
			showIndex:0,
			}
			},
			created() {
			const localData = JSON.parse(localStorage.getItem('chapter001'))
			if (localData) {
			this.chapter001 = { ...Object.assign(this.chapter001, localData) }
			}
			},
			methods: {
			async getPath() {
			this.videoPath = await getResourcePath('a28cd862d61b5df2201406b76e9f01b0')
			console.log(this.videoPath, '0988')
			},
			//资源收藏事件
			handleCollectResource(
			@@ -3464,6 +2343,17 @@
			this.collectResourceList
			)
			},
			// 新增
			openDialog(queryData) {
			this.thinkData = queryData
			this.thinkingDialog = !this.thinkingDialog
			},
			closeDialog() {
			this.showIndex = 0
			},
			changeNext() {
			if(this.showIndex < this.thinkData.length - 1) this.showIndex = this.showIndex + 1
			}
			},
			}
			</script>
			@@ -3511,5 +2401,4 @@
			}
			}

			.stepDialog {}
			</style>