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【327847】2023年辽宁省大连市中考数学真题

时间:2025-01-20 20:28:11 作者: 字数:19107字
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2023年辽宁省大连市中考数学真题

题号

总分

得分





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评卷人

得分




一、选择题

1.6的绝对值是(   
A
-6
B
6
C
-  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

2.如图所示的几何体中,主视图是(       
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
A
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
B
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
C
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

3.如图,直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的度数为(       
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
A
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
B
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
C
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

4.某种离心机的最大离心力为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> .数据 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 用科学记数法表示为(       
A
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
B
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
C
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

5.下列计算正确的是(       
A
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
B
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
C
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

6.将方程 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 去分母,两边同乘 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 后的式子为(       
A
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
B
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
C
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

7.已知蓄电池两端电压 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 为定值,电流 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 成反比例函数关系.当 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,则当 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的值为(       
A
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
B
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
C
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

8.圆心角为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,半径为3的扇形弧长为(       
A
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
B
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
C
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

9.已知抛物线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,则当 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 时,函数的最大值为(       
A
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
B
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
C
0
D
2

10.某小学开展课后服务,其中在体育类活动中开设了四种运动项目:乒乓球、排球、篮球、足球.为了解学生最喜欢哪一种运动项目,随机选取100名学生进行问卷调查(每位学生仅选一种),并将调查结果绘制成如下的扇形统计图.下列说法错误的是(       
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>    
A.本次调查的样本容量为100
B
.最喜欢篮球的人数占被调查人数的 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
C
.最喜欢足球的学生为40
D
.“排球”对应扇形的圆心角为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

评卷人

得分




二、填空题

11. <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的解集为_______________

12.一个袋子中装有两个标号为“1”“2”的球.从中任意摸出一个球,记下标号后放回并再次摸出一个球,记下标号后放回.则两次标号之和为3的概率为_______________

13.如图,在菱形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 为菱形的对角线, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 中点,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的长为_______________
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

14.如图,在数轴上, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,过 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 作直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,在直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 上截取 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,且 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 上方.连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,以点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 为圆心, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 为半径作弧交直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 点的横坐标为_______________
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

15.我国的《九章算术》中记载道:“今有共买物,人出八,盈三;人出七,不足四.问有几人.”大意是:今有人合伙购物,每人出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 元钱,会多 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 钱;每人出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 元钱,又差 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 钱,问人数有多少.设有 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 人,则可列方程为:_______________

16.如图,在正方形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,延长 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,使 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 平分 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的长为_______________
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

评卷人

得分




三、解答题

17.计算: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

18.某服装店的某件衣服最近销售火爆.现有 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 两家供应商到服装店推销服装,两家服装价格相同,品质相近.服装店决定通过检查材料的纯度来确定选购哪家的服装.检查人员从两家提供的材料样品中分别随机抽取15块相同的材料,通过特殊操作检验出其纯度(单位: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ),并对数据进行整理、描述和分析.部分信息如下:
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 供应商供应材料的纯度(单位: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> )如下:

 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

72

73

74

75

76

78

79

频数

1

1

5

3

3

1

1

 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 供应商供应材料的纯度(单位: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> )如下:
72
   75   72   75   78   77   73   75   76   77   71   78   79   72   75
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 两供应商供应材料纯度的平均数、中位数、众数和方差如下:


平均数

中位数

众数

方差

 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

75

75

74

3.07

 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

75

 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

根据以上信息,回答下列问题:
(1)
表格中的 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> _______________ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> _______________ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> _______________
(2)
你认为服装店应选择哪个供应商供应服装?为什么?

19.如图,在 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 中,延长 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> .求证: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>    

20.为了让学生养成热爱图书的习惯,某学校抽出一部分资金用于购买书籍.已知2020年该学校用于购买图书的费用为5000元,2022年用于购买图书的费用是7200元,求 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 年买书资金的平均增长率.

21.如图所示是消防员攀爬云梯到小明家的场景.已知 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 关于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的仰角为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,则楼 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的高度为多少 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ?(结果保留整数.参考数据: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>    

22.为了增强学生身体素质,学校要求男女同学练习跑步.开始时男生跑了 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,女生跑了 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,然后男生女生都开始匀速跑步.已知男生的跑步速度为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,当到达终点时男、女均停止跑步,男生从开始匀速跑步到停止跑步共用时 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> .已知 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 轴表示从开始匀速跑步到停止跑步的时间, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 轴代表跑过的路程,则:
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>    

(1)男女跑步的总路程为_______________
(2)
当男、女相遇时,求此时男、女同学距离终点的距离.

23.如图1,在 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的直径,点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 上一点, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的平分线交 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>    
(1) <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的度数;
(2)
如图2,过点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的切线交 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 延长线于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,过点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> .若 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,求 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的长.

24.如图1,在平面直角坐标系 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 中,直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 与直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 相交于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 为线段 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 上一动点(不与点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 重合),过点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 轴交直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的重叠面积为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 关于 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的函数图象如图2所示.
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>    
(1) <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的长为_______________ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的面积为_______________
(2)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 关于 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的函数解析式,并直接写出自变量 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的取值范围.

25.综合与实践
问题情境:数学活动课上,王老师给同学们每人发了一张等腰三角形纸片探究折叠的性质.
已知 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 上一动点,将 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 为对称轴翻折.同学们经过思考后进行如下探究:
独立思考:小明:“当点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 落在 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 上时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> .”
小红:“若点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 中点,给出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的长,就可求出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的长.”
实践探究:奋进小组的同学们经过探究后提出问题1,请你回答:
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>    
问题1:在等腰 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 翻折得到.
1)如图1,当点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 落在 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 上时,求证: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
2)如图2,若点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 中点, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,求 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的长.
问题解决:小明经过探究发现:若将问题1中的等腰三角形换成 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的等腰三角形,可以将问题进一步拓展.
问题2:如图3,在等腰 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> .若 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,则求 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的长.

26.如图,在平面直角坐标系中,抛物线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 上有两点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,其中点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的横坐标为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的横坐标为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,抛物线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 过点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> .过 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 轴交抛物线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 另一点为点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> .以 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 长为边向上构造矩形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>    
(1)求抛物线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的解析式;
(2)
将矩形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 向左平移 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 个单位,向下平移 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 个单位得到矩形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的对应点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 落在抛物线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 上.
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 关于 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的函数关系式,并直接写出自变量 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的取值范围;
直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 交抛物线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,交抛物线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> .当点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 为线段 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的中点时,求 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的值;
抛物线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 与边 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 分别相交于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 在抛物线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的对称轴同侧,当 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 时,求点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的坐标.

参考答案

1.B

【解析】
在数轴上,表示一个数的点到原点的距离叫做这个数的绝对值.
负数的绝对值等于它的相反数,所以-6的绝对值是6
故选:B

2.B

【解析】
根据主视图是从正面看得到的图形解答即可.
解:从正面看看到的是
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
故选:B

3.B

【解析】
先根据平行线的性质可得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,再根据三角形的外角性质即可得.
解: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
故选:B

4.C

【解析】
用科学记数法表示较大的数时,一般形式为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,其中 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 为整数.
解: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
故选:C

5.D

【解析】
根据零指数幂,二次根式的加法以及二次根式的性质,二次根式的混合运算进行计算即可求解.
解:A.  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,故该选项不正确,不符合题意;       
B.  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,故该选项不正确,不符合题意;       
C.  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,故该选项不正确,不符合题意;       
D.  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,故该选项正确,符合题意;
故选:D

6.B

【解析】
根据解分式方程的去分母的方法即可得.
解: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
两边同乘 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 去分母,得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
故选:B

7.B

【解析】
利用待定系数法求出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的值,由此即可得.
解:由题意得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
解得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
则当 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
故选:B

8.C

【解析】
根据弧长公式 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> (弧长为l,圆心角度数为n,圆的半径为r),由此计算即可.
解:该扇形的弧长 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
故选:C

9.D

【解析】
把抛物线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 化为顶点式,得到对称轴为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,当 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 时,函数的最小值为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,再分别求出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 时的函数值,即可得到答案.
解:∵ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
对称轴为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,当 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 时,函数的最小值为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,当 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 时,函数的最大值为2
故选:D

10.D

【解析】
A.
随机选取100名学生进行问卷调查,数量100就是样本容量,据此解答;
B.
由扇形统计图中喜欢篮球的占比解答;
C.
用总人数乘以 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 即可解答;
D.
先用1减去足球、篮球、乒乓球的占比得到排球的占比,再利用 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 乘以排球的占比即可解答.
解:A. 随机选取100名学生进行问卷调查,数量100就是样本容量,故A正确;
B.
由统计图可知, 最喜欢篮球的人数占被调查人数的 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,故B正确;
C.
最喜欢足球的学生为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> (人),故C正确;
D. “
排球”对应扇形的圆心角为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,故D错误
故选:D

11. <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

【解析】
根据不等式的性质解不等式即可求解.
解: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
解得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
故答案为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

12. <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

【解析】
先画出树状图,从而可得两次摸球的所有等可能的结果,再找出两次标号之和为3的结果,然后利用概率公式求解即可得.
解:由题意,画出树状图如下:
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
由图可知,两次摸球的所有等可能的结果共有4种,其中,两次标号之和为3的结果有2种,
则两次标号之和为3的概率为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
故答案为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

13. <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

【解析】
根据题意得出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 是等边三角形,进而得出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,根据中位线的性质即可求解.
解:∵在菱形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 为菱形的对角线,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 是等边三角形,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的中点,点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 中点,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
故答案为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

14. <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ## <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

【解析】
根据勾股定理求得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,根据题意可得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,进而即可求解.
解:∵ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 为原点, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 为正方向,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 点的横坐标为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
故答案为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

15. <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

【解析】
设有 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 人,每人出8元钱,会多3钱,则物品的钱数为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 元,每人出7元钱,又差4钱,则物品的钱数为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 元,根据题意列出一元一次方程即可求解.
设有 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 人,每人出8元钱,会多3钱,则物品的钱数为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 元,每人出7元钱,又差4钱,则物品的钱数为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 元,
则可列方程为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
故答案为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

16. <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

【解析】
如图,过 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,由 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 平分 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,可知 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,可得四边形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 是正方形, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,设 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,证明 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,即 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,解得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,由勾股定理得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,计算求解即可.
解:如图,过 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,则四边形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 是矩形, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 平分 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
四边形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 是正方形,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,即 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,解得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
由勾股定理得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
故答案为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

17. <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

【解析】
先计算括号内的加法,再计算除法即可.
解: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

18.(1)75756
(2)
服装店应选择A供应商供应服装.理由见解析.

【解析】
1)根据平均数、众数、方差的计算公式分别进行解答即可;
2)根据方差的定义,方差越小数据越稳定即可得出答案.
1)解:B供应商供应材料纯度的平均数为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
75
出现的次数最多,故众数 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
方差 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
故答案为:75756
2)解:服装店应选择A供应商供应服装.理由如下:
由于AB平均值一样,B的方差比A的大,故A更稳定,
所以选A供应商供应服装.

19.证明见解析

【解析】
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,可得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,证明 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,进而结论得证.
证明:∵ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

20. <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

【解析】
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 年买书资金的平均增长率为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,根据2022年买书资金 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 2020年买书资金 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 建立方程,解方程即可得.
解:设 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 年买书资金的平均增长率为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
由题意得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
解得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> (不符合题意,舍去),
答: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 年买书资金的平均增长率为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

21. <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的高度为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

【解析】
延长 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,依题意可得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,在 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,根据 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,求得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,进而根据 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,即可求解.
解:如图所示,延长 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>    
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
答:楼 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的高度为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

22.(1) <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
(2)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

【解析】
1)根据男女同学跑步的路程相等,求得男生跑步的路程,乘以 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,即可求解
2)根据题意男生从开始匀速跑步到停止跑步的直线解析式为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,求得女生的速度,进而得出解析式为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> , 联立求得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,进而即可求解.
1)解:∵开始时男生跑了 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,男生的跑步速度为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,从开始匀速跑步到停止跑步共用时 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
男生跑步的路程为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
男女跑步的总路程为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
故答案为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
2)解:男生从开始匀速跑步到停止跑步的直线解析式为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
设女生从开始匀速跑步到停止跑步的直线解析式为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
依题意,女生匀速跑了 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,用了 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,则速度为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
联立 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
解得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 代入 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
解得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
此时男、女同学距离终点的距离为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

23.(1) <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
(2)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

【解析】
1)根据圆周角定理证明两直线平行,再利用平行线的性质证明角度相等即可;
2)由勾股定理找到边的关系,求出线段长,再利用等面积法求解即可.
1)∵ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的直径,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 平分 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,即 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
2)如图,连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,设 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>    
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的直径,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 中,有勾股定理得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
由(1)得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
由勾股定理得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,整理得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
解得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> (舍去),
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的切线,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

24.(1) <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
(2)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

【解析】
1)根据函数图象即可求解.
2)根据(1)的结论,分 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,根据 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的重叠面积为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,分别求解即可.
1)解:当 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 点与 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 重合,此时 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,即 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 点与 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 点重合,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
故答案为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
2)∵ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 上,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> , <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 时,如图所示,设 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>    
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 时,如图所示,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>    
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
设直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的解析式为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
解得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的解析式为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
综上所述: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

25.1)见解析;(2 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ;问题2 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

【解析】
1)根据等边对等角可得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,根据折叠以及三角形内角和定理,可得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,根据邻补角互补可得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,即可得证;
2)连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,交 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的中位线,勾股定理求得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,根据 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 即可求解;
问题2:连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,过点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,过点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,根据已知条件可得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,则四边形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 是矩形,勾股定理求得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,根据三线合一得出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,根据勾股定理求得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的长,即可求解.
1)∵等腰 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 翻折得到
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
2)如图所示,连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,交 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>    
折叠,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的中点,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
问题2:如图所示,连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,过点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,过点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>    
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
四边形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 是矩形,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> , <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

26.(1) <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
(2)①
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ;② <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ;③ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>

【解析】
1)根据题意得出点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,待定系数法求解析式即可求解;
2)①根据平移的性质得出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,根据点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的对应点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 落在抛物线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 上,可得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,进而即可求解;
根据题意得出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,求得中点坐标,根据题意即可求解;
连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,过点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,勾股定理求得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,设 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 点的坐标为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,将 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 代入 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,求得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,求得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,进而根据 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 落在抛物线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 上,将 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 代入 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,即可求解.
1)解:依题意,点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的横坐标为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的横坐标为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,代入抛物线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,
将点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,代入抛物线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
解得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
抛物线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的解析式为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
2)①解:∵ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 轴交抛物线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 另一点为点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
矩形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 向左平移 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 个单位,向下平移 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 个单位得到矩形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的对应点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 落在抛物线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
整理得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
如图所示,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>    
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> , <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
由①可得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> , <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的横坐标为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,分别代入  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的中点坐标为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 为线段 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 的中点,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
解得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> (大于4,舍去)
如图所示,连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,过点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>    
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,∵ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 点的坐标为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 代入 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
解得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a> 代入 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
解得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/990/" title="辽宁省" class="c1" target="_blank">辽宁省</a> <a href="/tags/1053/" title="大连" class="c1" target="_blank">大连</a> <a href="/tags/1122/" title="辽宁" class="c1" target="_blank">辽宁</a>