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【330367】2020年天津市中考数学试卷

时间:2025-02-09 11:10:57 作者: 字数:18459字

2020年天津市中考数学试卷

一、选择题(本大题共12小题,每小题3分,共36分.在每小题给出的四个选项中,只有一项是符合题目要求的)

1.(3分)计算 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的结果等于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

A10 B <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> C50 D <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

2.(3分) <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的值等于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

A1 B <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> C <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> D2

3.(3分)据2020624日《天津日报》报道,623日下午,第四届世界智能大会在天津开幕.本届大会采取“云上”办会的全新模式呈现,40家直播网站及平台同时在线观看云开幕式暨主题峰会的总人数最高约为58600000人.将58600000用科学记数法表示应为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> B <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> C <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> D <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

4.(3分)在一些美术字中,有的汉字是轴对称图形.下面4个汉字中,可以看作是轴对称图形的是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

AShape1 BShape2 CShape3 DShape4

5.(3分)如图是一个由5个相同的正方体组成的立体图形,它的主视图是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

Shape5

AShape6 BShape7

CShape8 DShape9

6.(3分)估计 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的值在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

A34之间 B45之间 C56之间 D67之间

7.(3分)方程组 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的解是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> B <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> C <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> D <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

8.(3分)如图,四边形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 是正方形, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 两点的坐标分别是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 在第一象限,则点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的坐标是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

Shape10

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> B <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> C <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> D <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

9.(3分)计算 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的结果是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> B <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> C1 D <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

10.(3分)若点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 都在反比例函数 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的图象上,则 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的大小关系是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> B <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> C <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> D <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

11.(3分)如图,在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 中, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,将 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 绕点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 顺时针旋转得到 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,使点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的对应点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 恰好落在边 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 上,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的对应点为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,延长 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,则下列结论一定正确的是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

Shape11

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> B <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> C <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> D <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

12.(3分)已知抛物线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 是常数, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 经过点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,其对称轴是直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> .有下列结论:

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

关于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的方程 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 有两个不等的实数根;

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

其中,正确结论的个数是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

A0 B1 C2 D3

二、填空题(本大题共6小题,每小题3分,共18分)

13.(3分)计算 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的结果等于  

14.(3分)计算 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的结果等于  

15.(3分)不透明袋子中装有8个球,其中有3个红球、5个黑球,这些球除颜色外无其他差别.从袋子中随机取出1个球,则它是红球的概率是  

16.(3分)将直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 向上平移1个单位长度,平移后直线的解析式为  

17.(3分)如图, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的顶点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 在等边 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的边 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 上,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的延长线上, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的中点,连接 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> .若 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,则 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的长为  

Shape12

18.(3分)如图,在每个小正方形的边长为1的网格中, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的顶点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 均落在格点上,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 在网格线上,且 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

(Ⅰ)线段 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的长等于  

(Ⅱ)以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 为直径的半圆与边 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 相交于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,若 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 分别为边 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 上的动点,当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 取得最小值时,请用无刻度的直尺,在如图所示的网格中,画出点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,并简要说明点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的位置是如何找到的(不要求证明)  

Shape13

三、解答题(本大题共7小题,共66分.解答应写出文字说明、演算步骤或推理过程)

19.(8分)解不等式组 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

请结合题意填空,完成本题的解答.

(Ⅰ)解不等式,得  

(Ⅱ)解不等式,得  

(Ⅲ)把不等式的解集在数轴上表示出来:

(Ⅳ)原不等式组的解集为  

Shape14

20.(8分)农科院为了解某种小麦的长势,从中随机抽取了部分麦苗,对苗高(单位: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 进行了测量.根据统计的结果,绘制出如图的统计图和图

Shape15

请根据相关信息,解答下列问题:

(Ⅰ)本次抽取的麦苗的株数为  ,图 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的值为  

(Ⅱ)求统计的这组苗高数据的平均数、众数和中位数.

21.(10分)在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 中,弦 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 与直径 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 相交于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

(Ⅰ)如图,若 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,求 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的大小;

(Ⅱ)如图,若 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,过点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的切线,与 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的延长线相交于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,求 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的大小.Shape16

22.(10分)如图, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 两点被池塘隔开,在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 外选一点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,连接 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> .测得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> .根据测得的数据,求 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的长(结果取整数).

参考数据: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

Shape17

23.(10分)在“看图说故事”活动中,某学习小组结合图象设计了一个问题情境.

Shape18

已知小亮所在学校的宿舍、食堂、图书馆依次在同一条直线上,食堂离宿舍 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,图书馆离宿舍 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> .周末,小亮从宿舍出发,匀速走了 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 到食堂;在食堂停留 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 吃早餐后,匀速走了 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 到图书馆;在图书馆停留 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 借书后,匀速走了 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 返回宿舍.给出的图象反映了这个过程中小亮离宿舍的距离 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 与离开宿舍的时间 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 之间的对应关系.

请根据相关信息,解答下列问题:

(Ⅰ)填表:

离开宿舍的时间 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

2

5

20

23

30

离宿舍的距离 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

0.2

  

0.7

  

  

(Ⅱ)填空:

食堂到图书馆的距离为   <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

小亮从食堂到图书馆的速度为   <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

小亮从图书馆返回宿舍的速度为   <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

当小亮离宿舍的距离为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 时,他离开宿舍的时间为   <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

(Ⅲ)当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 时,请直接写出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 关于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的函数解析式.

24.(10分)将一个直角三角形纸片 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 放置在平面直角坐标系中,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 在第一象限, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 在边 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 上(点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 不与点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 重合).

(Ⅰ)如图,当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 时,求点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的坐标;

(Ⅱ)折叠该纸片,使折痕所在的直线经过点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,并与 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 轴的正半轴相交于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,且 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的对应点为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,设 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

如图,若折叠后△ <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 重叠部分为四边形, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 分别与边 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 相交于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,试用含有 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的式子表示 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的长,并直接写出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的取值范围;

若折叠后△ <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 重叠部分的面积为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 时,求 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的取值范围(直接写出结果即可).

Shape19

25.(10分)已知点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 是抛物线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 为常数, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 轴的一个交点.

(Ⅰ)当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 时,求该抛物线的顶点坐标;

(Ⅱ)若抛物线与 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 轴的另一个交点为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,与 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 轴的交点为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,过点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 作直线1平行于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 轴, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 是直线1上的动点, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 轴上的动点, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

当点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 落在抛物线上(不与点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 重合),且 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 时,求点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的坐标;

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的中点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 为何值时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的最小值是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>


2020年天津市中考数学试卷

参考答案与试题解析

一、选择题(本大题共12小题,每小题3分,共36分.在每小题给出的四个选项中,只有一项是符合题目要求的)

1.(3分)计算 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的结果等于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

A10 B <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> C50 D <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

【解答】解: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

故选: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

2.(3分) <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的值等于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

A1 B <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> C <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> D2

【解答】解: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

故选: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

3.(3分)据2020624日《天津日报》报道,623日下午,第四届世界智能大会在天津开幕.本届大会采取“云上”办会的全新模式呈现,40家直播网站及平台同时在线观看云开幕式暨主题峰会的总人数最高约为58600000人.将58600000用科学记数法表示应为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> B <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> C <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> D <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

【解答】解: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

故选: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

4.(3分)在一些美术字中,有的汉字是轴对称图形.下面4个汉字中,可以看作是轴对称图形的是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

AShape20 BShape21 CShape22 DShape23

【解答】解: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 、不是轴对称图形,不合题意;

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 、不是轴对称图形,不合题意;

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 、是轴对称图形,符合题意;

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 、不是轴对称图形,不合题意;

故选: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

5.(3分)如图是一个由5个相同的正方体组成的立体图形,它的主视图是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

Shape24

AShape25 BShape26

CShape27 DShape28

【解答】解:从正面看有两列,左列底层一个小正方形,右列三个小正方形.

故选: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

6.(3分)估计 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的值在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

A34之间 B45之间 C56之间 D67之间

【解答】解: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

故选: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

7.(3分)方程组 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的解是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> B <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> C <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> D <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

【解答】解: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>得: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

解得: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 代入得: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

则方程组的解为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

故选: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

8.(3分)如图,四边形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 是正方形, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 两点的坐标分别是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 在第一象限,则点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的坐标是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

Shape29

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> B <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> C <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> D <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

【解答】解: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 四边形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 是正方形,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 两点的坐标分别是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

故选: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

9.(3分)计算 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的结果是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> B <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> C1 D <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

【解答】解:原式 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

故选: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

10.(3分)若点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 都在反比例函数 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的图象上,则 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的大小关系是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> B <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> C <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> D <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

【解答】解: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 都在反比例函数 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的图象上,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,即 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,即 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,即 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

故选: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

11.(3分)如图,在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 中, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,将 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 绕点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 顺时针旋转得到 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,使点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的对应点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 恰好落在边 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 上,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的对应点为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,延长 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,则下列结论一定正确的是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

Shape30

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> B <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> C <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> D <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

【解答】解:由旋转可得, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,故 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 选项错误,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,故 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 选项错误,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,故 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 选项错误,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,即 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,故 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 选项正确,

故选: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

Shape31

12.(3分)已知抛物线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 是常数, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 经过点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,其对称轴是直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> .有下列结论:

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

关于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的方程 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 有两个不等的实数根;

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

其中,正确结论的个数是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

A0 B1 C2 D3

【解答】解: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 抛物线的对称轴为直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

而点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 关于直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的对称点的坐标为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 抛物线开口向下,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 抛物线对称轴为直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,故错误;

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 抛物线开口向下,与 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 轴有两个交点,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 顶点在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 轴的上方,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 抛物线与直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 有两个交点,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 关于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的方程 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 有两个不等的实数根;故正确;

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 抛物线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 经过点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,即 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,故正确,

故选: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

二、填空题(本大题共6小题,每小题3分,共18分)

13.(3分)计算 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的结果等于  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  

【解答】解: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

故答案为: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

14.(3分)计算 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的结果等于 6 

【解答】解:原式 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

故答案是:6

15.(3分)不透明袋子中装有8个球,其中有3个红球、5个黑球,这些球除颜色外无其他差别.从袋子中随机取出1个球,则它是红球的概率是  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  

【解答】解: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 袋子中装有8个小球,其中红球有3个,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 从袋子中随机取出1个球,则它是红球的概率是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

故答案为: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

16.(3分)将直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 向上平移1个单位长度,平移后直线的解析式为  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  

【解答】解:将直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 向上平移1个单位,得到的直线的解析式为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

故答案为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

17.(3分)如图, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的顶点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 在等边 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的边 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 上,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的延长线上, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的中点,连接 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> .若 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,则 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的长为  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  

Shape32

【解答】解: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 四边形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 是平行四边形,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 是等边三角形, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的中点,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

延长 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 中,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 是等边三角形,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

故答案为: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

Shape33

18.(3分)如图,在每个小正方形的边长为1的网格中, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的顶点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 均落在格点上,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 在网格线上,且 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

(Ⅰ)线段 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的长等于  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  

(Ⅱ)以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 为直径的半圆与边 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 相交于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,若 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 分别为边 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 上的动点,当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 取得最小值时,请用无刻度的直尺,在如图所示的网格中,画出点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,并简要说明点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的位置是如何找到的(不要求证明)  

Shape34

【解答】解:(Ⅰ)线段 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的长等于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

Shape35

(Ⅱ)如图,取格点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,连接 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

连接 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 并延长,与 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 相交于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

连接 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,与半圆相交于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,连接 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 相交于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,连接 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 并延长,与 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 相交于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

则点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 即为所求.

三、解答题(本大题共7小题,共66分.解答应写出文字说明、演算步骤或推理过程)

19.(8分)解不等式组 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

请结合题意填空,完成本题的解答.

(Ⅰ)解不等式,得  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  

(Ⅱ)解不等式,得  

(Ⅲ)把不等式的解集在数轴上表示出来:

(Ⅳ)原不等式组的解集为  

Shape36

【解答】解:(Ⅰ)解不等式,得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

(Ⅱ)解不等式,得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

(Ⅲ)把不等式的解集在数轴上表示出来:

Shape37

(Ⅳ)原不等式组的解集为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

故答案为: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

20.(8分)农科院为了解某种小麦的长势,从中随机抽取了部分麦苗,对苗高(单位: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 进行了测量.根据统计的结果,绘制出如图的统计图和图

Shape38

请根据相关信息,解答下列问题:

(Ⅰ)本次抽取的麦苗的株数为 25 ,图 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的值为  

(Ⅱ)求统计的这组苗高数据的平均数、众数和中位数.

【解答】解:(Ⅰ)本次抽取的麦苗有: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> (株 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

故答案为:2524

(Ⅱ)平均数是: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

众数是16

中位数是16

21.(10分)在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 中,弦 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 与直径 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 相交于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

(Ⅰ)如图,若 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,求 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的大小;

(Ⅱ)如图,若 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,过点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的切线,与 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的延长线相交于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,求 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的大小.Shape39

【解答】解:(1 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的一个外角,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

由圆周角定理得: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的直径,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

2)连接 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,如图所示:

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的切线,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

Shape40

Shape41

22.(10分)如图, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 两点被池塘隔开,在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 外选一点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,连接 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> .测得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> .根据测得的数据,求 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的长(结果取整数).

参考数据: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

Shape42

【解答】解:如图,过点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,垂足为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 中, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,即 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

解得, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

答: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的长约为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

Shape43

23.(10分)在“看图说故事”活动中,某学习小组结合图象设计了一个问题情境.

Shape44

已知小亮所在学校的宿舍、食堂、图书馆依次在同一条直线上,食堂离宿舍 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,图书馆离宿舍 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> .周末,小亮从宿舍出发,匀速走了 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 到食堂;在食堂停留 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 吃早餐后,匀速走了 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 到图书馆;在图书馆停留 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 借书后,匀速走了 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 返回宿舍.给出的图象反映了这个过程中小亮离宿舍的距离 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 与离开宿舍的时间 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 之间的对应关系.

请根据相关信息,解答下列问题:

(Ⅰ)填表:

离开宿舍的时间 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

2

5

20

23

30

离宿舍的距离 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

0.2

 0.5 

0.7

  

  

(Ⅱ)填空:

食堂到图书馆的距离为   <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

小亮从食堂到图书馆的速度为   <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

小亮从图书馆返回宿舍的速度为   <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

当小亮离宿舍的距离为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 时,他离开宿舍的时间为   <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

(Ⅲ)当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 时,请直接写出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 关于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的函数解析式.

【解答】解:(Ⅰ)由图象可得,

在前7分钟的速度为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

故当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 时,离宿舍的距离为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 时,距离不变,都是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,故当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 时,离宿舍的距离为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 时,距离不变,都是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,故当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 时,离宿舍的距离为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

故答案为:0.20.71

(Ⅱ)由图象可得,

食堂到图书馆的距离为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

故答案为:0.3

小亮从食堂到图书馆的速度为: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

故答案为:0.06

小亮从图书馆返回宿舍的速度为: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

故答案为:0.1

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 时,

小亮离宿舍的距离为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 时,他离开宿舍的时间为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 时,

小亮离宿舍的距离为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 时,他离开宿舍的时间为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

故答案为:662

(Ⅲ)由图象可得,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 时,设 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

即当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

由上可得,当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 关于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的函数解析式是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

24.(10分)将一个直角三角形纸片 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 放置在平面直角坐标系中,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 在第一象限, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 在边 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 上(点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 不与点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 重合).

(Ⅰ)如图,当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 时,求点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的坐标;

(Ⅱ)折叠该纸片,使折痕所在的直线经过点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,并与 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 轴的正半轴相交于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,且 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的对应点为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,设 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

如图,若折叠后△ <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 重叠部分为四边形, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 分别与边 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 相交于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,试用含有 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的式子表示 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的长,并直接写出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的取值范围;

若折叠后△ <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 重叠部分的面积为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 时,求 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的取值范围(直接写出结果即可).

Shape45

【解答】解:(Ⅰ)如图中,过点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

Shape46

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>


(Ⅱ)如图中,

Shape47

由折叠可知,△ <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 四边形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 是菱形,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 中, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>


②①当点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 落在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 上时,重叠部分是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,此时 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 时,重叠部分是四边形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 有最大值,最大值 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

综上所述, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

25.(10分)已知点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 是抛物线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 为常数, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 轴的一个交点.

(Ⅰ)当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 时,求该抛物线的顶点坐标;

(Ⅱ)若抛物线与 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 轴的另一个交点为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,与 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 轴的交点为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,过点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 作直线1平行于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 轴, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 是直线1上的动点, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 轴上的动点, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

当点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 落在抛物线上(不与点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 重合),且 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 时,求点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的坐标;

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的中点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 为何值时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的最小值是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

【解答】解:(Ⅰ)当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 时,抛物线的解析式为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 抛物线经过点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

解得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 抛物线的解析式为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 抛物线的顶点坐标为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

(Ⅱ) <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 抛物线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 经过点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,即 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 抛物线的解析式为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

根据题意得,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

过点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,由点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,得点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

Shape48

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 中, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

解得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

此时,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,有 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 轴上,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 中, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的坐标为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的中点,得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

根据题意,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 在以点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 为圆心、 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 为半径的圆上,

由点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 中, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,即 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 时,满足条件的点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 在线段 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 上.

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的最小值为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,解得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> ,即 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 时,满足条件的点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 落在线段 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的延长线上, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的最小值为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

解得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的值为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a> 的最小值是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1150/" title="天津市" class="c1" target="_blank">天津市</a> <a href="/tags/1180/" title="天津" class="c1" target="_blank">天津</a>