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【330341】2020年山东省德州市中考数学试卷

时间:2025-02-09 10:59:05 作者: 字数:22899字

2020年山东省德州市中考数学试卷

一、选择题:本大题共12小题,在每小题给出的四个选项中,只有一项是正确的,请把正确的选项选出来.每小题选对得4分,选错、不选或选出的答案超过一个均记零分.

1.(4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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> B2020 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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

2.(4分)下列图形中,是中心对称图形但不是轴对称图形的是 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

AShape1 BShape2 CShape3 DShape4

3.(4分)下列运算正确的是 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

4.(4分)如图1是用5个相同的正方体搭成的立体图形.若由图1变化至图2,则三视图中没有发生变化的是 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

Shape5

A.主视图 B.主视图和左视图

C.主视图和俯视图 D.左视图和俯视图

5.(4分)为提升学生的自理和自立能力,李老师调查了全班学生在一周内的做饭次数情况,调查结果如下表:

一周做饭次数

4

5

6

7

8

人数

7

6

12

10

5

那么一周内该班学生的平均做饭次数为 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

A4 B5 C6 D7

6.(4分)如图,小明从 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 点出发,沿直线前进8米后向左转 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,再沿直线前进8米,又向左转 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 照这样走下去,他第一次回到出发点 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 时,共走路程为 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

Shape6

A80 B96 C64 D48

7.(4分)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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 在同一平面直角坐标系中的大致图象可能是 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

AShape7 BShape8

CShape9 DShape10

8.(4分)下列命题:

一组对边平行,另一组对边相等的四边形是平行四边形;

对角线互相垂直且平分的四边形是菱形;

一个角为 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 且一组邻边相等的四边形是正方形;

对角线相等的平行四边形是矩形.

其中真命题的个数是 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

A1 B2 C3 D4

9.(4分)若关于 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的不等式组 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的解集是 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的取值范围是 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

10.(4分)如图,圆内接正六边形的边长为4,以其各边为直径作半圆,则图中阴影部分的面积为 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

11.(4分)二次函数 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的部分图象如图所示,则下列选项错误的是 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

Shape12

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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 是图象上的两点,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

C.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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 有两个不相等的实数根

D.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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的增大而减小

12.(4分)如图是用黑色棋子摆成的美丽图案,按照这样的规律摆下去,第10个这样的图案需要黑色棋子的个数为 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

Shape13

A148 B152 C174 D202

二、填空题:本大题共6小题,共24分,只要求填写最后结果,每小题填对得4分.

13.(4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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>   

14.(4分)若一个圆锥的底面半径是 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,母线长是 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,则该圆锥侧面展开图的圆心角是  度.

15.(4分)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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,以原点 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 为位似中心,把线段 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 放大为原来的2倍,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> .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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 恰在某一反比例函数图象上,则该反比例函数解析式为  

16.(4分)菱形的一条对角线长为8,其边长是方程 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的一个根,则该菱形的周长为  

17.(4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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的正方形网格中,有4个小正方形已经涂黑,若再涂黑任意1个白色的小正方形(每个白色小正方形被涂黑的可能性相同),使新构成的黑色部分图形是轴对称图形的概率是  

Shape14

18.(4分)如图,在矩形 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> .把 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 沿 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 折叠,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 恰好落在 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 边上的 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 处,再将 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 顺时针旋转 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,使得 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 恰好经过 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> .有如下结论: <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的长度是 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的长度是 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> .上述结论中,所有正确的序号是  

Shape15

三、解答题:本大题共7小题,共78分.解答要写出必要的文字说明、证明过程或演算步骤.

19.(8分)先化简: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,然后选择一个合适的 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 值代入求值.

20.(10分)某校“校园主持人大赛”结束后,将所有参赛选手的比赛成绩(得分均为整数)进行整理,并分别绘制成扇形统计图和频数直方图.部分信息如下:

Shape16

1)本次比赛参赛选手共有  人,扇形统计图中“ <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ”这一范围的人数占总参赛人数的百分比为  

2)补全图2频数直方图;

3)赛前规定,成绩由高到低前 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的参赛选手获奖.某参赛选手的比赛成绩为88分,试判断他能否获奖,并说明理由;

4)成绩前四名是2名男生和2名女生,若从他们中任选2人作为该校文艺晚会的主持人,试求恰好选中11女为主持人的概率.

21.(10分)如图,无人机在离地面60米的 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 处,观测楼房顶部 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的俯角为 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,观测楼房底部 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的俯角为 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,求楼房的高度.

Shape17

22.(12分)如图,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 在以 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 为直径的 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 是半圆 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的延长线于点 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

1)求证: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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的切线;

2)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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的长.

Shape18

23.(12分)小刚去超市购买画笔,第一次花60元买了若干支 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 型画笔,第二次超市推荐了 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 型画笔,但 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 型画笔比 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 型画笔的单价贵2元,他又花100元买了相同支数的 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 型画笔.

1)超市 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 型画笔单价多少元?

2)小刚使用两种画笔后,决定以后使用 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 型画笔,但感觉其价格稍贵,和超市沟通后,超市给出以下优惠方案:一次购买不超过20支,则每支 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 型画笔打九折;若一次购买超过20支,则前20支打九折,超过的部分打八折.设小刚购买的 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 型画笔 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 支,购买费用为 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 元,请写出 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的函数关系式.

3)在(2)的优惠方案下,若小刚计划用270元购买 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 型画笔,则能购买多少支 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 型画笔?

24.(12分)问题探究:

小红遇到这样一个问题:如图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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 是中线,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的取值范围.她的做法是: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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,使 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,证明 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,经过推理和计算使问题得到解决.

请回答:(1)小红证明 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的判定定理是:  

2 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的取值范围是  

方法运用:

3)如图2 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的中线,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 上取一点 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,连结 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 并延长交 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,使 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,求证: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

4)如图3,在矩形 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 上取一点 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 为斜边作 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,求证: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

Shape19

25.(14分)如图1,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 轴上任取一点 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,分别以点 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 和点 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 为圆心,大于 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的长为半径作弧,两弧相交于 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 两点,作直线 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 轴的垂线 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 交直线 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> .根据以上操作,完成下列问题.

探究:

1)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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的数量关系为  ,其理由为:  

2)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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 轴上多次改变点 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的位置,按上述作图方法得到相应点 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的坐标,并完成下列表格:

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

  

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

  

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

猜想:

3)请根据上述表格中 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 点的坐标,把这些点用平滑的曲线在图2中连接起来;观察画出的曲线 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,猜想曲线 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的形状是  

验证:

4)设点 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,根据图1中线段 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的关系,求出 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的函数解析式.

应用:

5)如图3,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 为曲线 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 上任意一点,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的纵坐标 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的取值范围.

Shape20


2020年山东省德州市中考数学试卷

参考答案与试题解析

一、选择题:本大题共12小题,在每小题给出的四个选项中,只有一项是正确的,请把正确的选项选出来.每小题选对得4分,选错、不选或选出的答案超过一个均记零分.

1.(4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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> B2020 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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

2.(4分)下列图形中,是中心对称图形但不是轴对称图形的是 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

AShape21 BShape22 CShape23 DShape24

【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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 、不是轴对称图形,也不是中心对称图形.故此选项不合题意;

 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 、是中心对称图形但不是轴对称图形.故此选项符合题意;

 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 、既是轴对称图形,又是中心对称图形.故此选项不合题意;

 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 、是轴对称图形,不是中心对称图形.故此选项不合题意.

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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

3.(4分)下列运算正确的是 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,因此选项 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 不符合题意;

 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,因此选项 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,因此选项 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 不符合题意;

 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,因此选项 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 不符合题意;

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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

4.(4分)如图1是用5个相同的正方体搭成的立体图形.若由图1变化至图2,则三视图中没有发生变化的是 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

Shape25

A.主视图 B.主视图和左视图

C.主视图和俯视图 D.左视图和俯视图

【解答】解:图1主视图第一层三个正方形,第二层左边一个正方形;图2主视图第一层三个正方形,第二层右边一个正方形;故主视图发生变化;

左视图都是第一层两个正方形,第二层左边一个正方形,故左视图不变;

俯视图都是底层左边是一个正方形,上层是三个正方形,故俯视图不变.

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 不改变的是左视图和俯视图.

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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

5.(4分)为提升学生的自理和自立能力,李老师调查了全班学生在一周内的做饭次数情况,调查结果如下表:

一周做饭次数

4

5

6

7

8

人数

7

6

12

10

5

那么一周内该班学生的平均做饭次数为 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

A4 B5 C6 D7

【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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> (次 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

6.(4分)如图,小明从 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 点出发,沿直线前进8米后向左转 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,再沿直线前进8米,又向左转 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 照这样走下去,他第一次回到出发点 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 时,共走路程为 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

Shape26

A80 B96 C64 D48

【解答】解:根据题意可知,他需要转 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 次才会回到原点,

所以一共走了 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> (米 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

7.(4分)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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 在同一平面直角坐标系中的大致图象可能是 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

AShape27 BShape28

CShape29 DShape30

【解答】解:在函数 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 时,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的图象在第一、三象限,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的图象在第一、二、四象限,故选项 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 错误,选项 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 时,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的图象在第二、四象限,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的图象在第一、二、三象限,故选项 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 错误,

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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

8.(4分)下列命题:

一组对边平行,另一组对边相等的四边形是平行四边形;

对角线互相垂直且平分的四边形是菱形;

一个角为 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 且一组邻边相等的四边形是正方形;

对角线相等的平行四边形是矩形.

其中真命题的个数是 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

A1 B2 C3 D4

【解答】解:一组对边平行且这组对边相等的四边形是平行四边形,原命题是假命题;

对角线互相垂直且平分的四边形是菱形,是真命题;

一个角为 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 且一组邻边相等的平行四边形是正方形,原命题是假命题;

对角线相等的平行四边形是矩形,是真命题;

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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

9.(4分)若关于 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的不等式组 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的解集是 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的取值范围是 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

【解答】解: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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

因为关于 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的不等式组 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的解集是 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

所以, <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

10.(4分)如图,圆内接正六边形的边长为4,以其各边为直径作半圆,则图中阴影部分的面积为 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

Shape31

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

【解答】解:设正六边形的中心为 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

Shape32

由题意, <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

11.(4分)二次函数 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的部分图象如图所示,则下列选项错误的是 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

Shape33

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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 是图象上的两点,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

C.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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 有两个不相等的实数根

D.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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的增大而减小

【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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的对称点为 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

则抛物线与 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 轴的另一个交点坐标为 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 是对称点,

 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 时,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 增大而减小,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 选项不符合题意;

把点 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 代入 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 选项不符合题意;

 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

由图象得:纵坐标为 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的点有2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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 有两个不相等的实数根,

 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 选项不符合题意;

 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 二次函数图象的对称轴为 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的增大而增大;

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的增大而减小;

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 选项符合题意;

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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

12.(4分)如图是用黑色棋子摆成的美丽图案,按照这样的规律摆下去,第10个这样的图案需要黑色棋子的个数为 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

Shape34

A148 B152 C174 D202

【解答】解:根据图形,第1个图案有12枚棋子,

2个图案有22枚棋子,

3个图案有34枚棋子,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 个图案有 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 枚棋子,

故第10个这样的图案需要黑色棋子的个数为 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> (枚 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

二、填空题:本大题共6小题,共24分,只要求填写最后结果,每小题填对得4分.

13.(4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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>   <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

14.(4分)若一个圆锥的底面半径是 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,母线长是 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,则该圆锥侧面展开图的圆心角是 120 度.

【解答】解:圆锥侧面展开图的弧长是: <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

设圆心角的度数是 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 度.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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

故答案为:120

15.(4分)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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,以原点 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 为位似中心,把线段 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 放大为原来的2倍,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> .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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 恰在某一反比例函数图象上,则该反比例函数解析式为  <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,以原点 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 为位似中心,把线段 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 放大为原来的2倍,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 恰在某一反比例函数图象上,

 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 该反比例函数解析式为: <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

16.(4分)菱形的一条对角线长为8,其边长是方程 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的一个根,则该菱形的周长为 20 

【解答】解: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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

因式分解得: <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

分两种情况:

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,不能构成三角形;

 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的周长 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

故答案为:20

Shape35

17.(4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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的正方形网格中,有4个小正方形已经涂黑,若再涂黑任意1个白色的小正方形(每个白色小正方形被涂黑的可能性相同),使新构成的黑色部分图形是轴对称图形的概率是  <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  

Shape36

【解答】解:如图所示:当分别将12位置涂黑,构成的黑色部分图形是轴对称图形,

故新构成的黑色部分图形是轴对称图形的概率是: <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

Shape37

18.(4分)如图,在矩形 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> .把 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 沿 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 折叠,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 恰好落在 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 边上的 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 处,再将 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 顺时针旋转 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,使得 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 恰好经过 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> .有如下结论: <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的长度是 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的长度是 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> .上述结论中,所有正确的序号是 ①②④ 

Shape38

【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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 沿 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 折叠,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 恰好落在 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 边上的 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 处,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 是矩形,

 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 顺时针旋转 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的长度 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 不全等,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,故正确,

故答案为:①②④

三、解答题:本大题共7小题,共78分.解答要写出必要的文字说明、证明过程或演算步骤.

19.(8分)先化简: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,然后选择一个合适的 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 值代入求值.

【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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 代入 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

20.(10分)某校“校园主持人大赛”结束后,将所有参赛选手的比赛成绩(得分均为整数)进行整理,并分别绘制成扇形统计图和频数直方图.部分信息如下:

Shape39

1)本次比赛参赛选手共有 50 人,扇形统计图中“ <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ”这一范围的人数占总参赛人数的百分比为  

2)补全图2频数直方图;

3)赛前规定,成绩由高到低前 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的参赛选手获奖.某参赛选手的比赛成绩为88分,试判断他能否获奖,并说明理由;

4)成绩前四名是2名男生和2名女生,若从他们中任选2人作为该校文艺晚会的主持人,试求恰好选中11女为主持人的概率.

【解答】解:(1)本次比赛参赛选手共有: <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> (人 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>这一范围的人数占总参赛人数的百分比为 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>这一范围的人数占总参赛人数的百分比为 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

故答案为:50 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

2 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ”这一范围的人数为 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> (人 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>这一范围的人数为 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> (人 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>这一范围的人数为 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> (人 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>这一范围的人数为 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> (人 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

补全图2频数直方图:

Shape40

3)能获奖.理由如下:

 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 本次比赛参赛选手50人,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 成绩由高到低前 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的参赛选手人数为 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> (人 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 能获奖;

4)画树状图为:

Shape41

共有12种等可能的结果数,其中恰好选中11女的结果数为8

所以恰好选中11女的概率 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

21.(10分)如图,无人机在离地面60米的 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 处,观测楼房顶部 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的俯角为 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,观测楼房底部 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的俯角为 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,求楼房的高度.

Shape42

【解答】解:过 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

由题意得, <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> (米 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

答:楼房的高度为40米.

Shape43

22.(12分)如图,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 在以 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 为直径的 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 是半圆 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的延长线于点 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

1)求证: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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的切线;

2)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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的长.

Shape44

【解答】1)证明: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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的直径,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 是半圆 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的切线;

2)解: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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 是半圆 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 是等腰直角三角形,

 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 是圆内接四边形,

 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

由(1)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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

Shape45

23.(12分)小刚去超市购买画笔,第一次花60元买了若干支 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 型画笔,第二次超市推荐了 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 型画笔,但 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 型画笔比 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 型画笔的单价贵2元,他又花100元买了相同支数的 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 型画笔.

1)超市 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 型画笔单价多少元?

2)小刚使用两种画笔后,决定以后使用 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 型画笔,但感觉其价格稍贵,和超市沟通后,超市给出以下优惠方案:一次购买不超过20支,则每支 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 型画笔打九折;若一次购买超过20支,则前20支打九折,超过的部分打八折.设小刚购买的 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 型画笔 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 支,购买费用为 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 元,请写出 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的函数关系式.

3)在(2)的优惠方案下,若小刚计划用270元购买 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 型画笔,则能购买多少支 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 型画笔?

【解答】解:(1)设超市 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 型画笔单价为 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 元,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 型画笔单价为 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 元.

根据题意得, <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

经检验, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 是原方程的解.

答:超市 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 型画笔单价为5元;


2)由题意知,

当小刚购买的 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 型画笔支数 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 时,费用为 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

当小刚购买的 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 型画笔支数 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 时,费用为 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

所以, <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的函数关系式为 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> (其中 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 是正整数);


3)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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 时,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 不合题意,舍去;

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 时,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,符合题意.

答:若小刚计划用270元购买 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 型画笔,则能购买65 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 型画笔.

24.(12分)问题探究:

小红遇到这样一个问题:如图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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 是中线,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的取值范围.她的做法是: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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,使 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,证明 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,经过推理和计算使问题得到解决.

请回答:(1)小红证明 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的判定定理是:  <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  

2 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的取值范围是  

方法运用:

3)如图2 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的中线,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 上取一点 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,连结 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 并延长交 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,使 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,求证: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

4)如图3,在矩形 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 上取一点 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 为斜边作 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,求证: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

Shape46

【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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 是中线,

 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

2 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

3)如图2,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,使 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

Shape47

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的中线,

 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

4)如图3,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,使 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

25.(14分)如图1,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 轴上任取一点 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,分别以点 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 和点 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 为圆心,大于 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的长为半径作弧,两弧相交于 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 两点,作直线 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 轴的垂线 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 交直线 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> .根据以上操作,完成下列问题.

探究:

1)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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的数量关系为  <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  ,其理由为:  

2)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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 轴上多次改变点 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的位置,按上述作图方法得到相应点 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的坐标,并完成下列表格:

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

  

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

  

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

猜想:

3)请根据上述表格中 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 点的坐标,把这些点用平滑的曲线在图2中连接起来;观察画出的曲线 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,猜想曲线 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的形状是  

验证:

4)设点 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,根据图1中线段 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的关系,求出 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的函数解析式.

应用:

5)如图3,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 为曲线 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 上任意一点,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的纵坐标 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的取值范围.

Shape49

【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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 分别以点 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 和点 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 为圆心,大于 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的长为半径作弧,两弧相交于 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 两点,

 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的垂直平分线,

 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 上一点,

 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> (线段垂直平分线上的点与这条线段两个端点的距离相等),

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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,线段垂直平分线上的点与这条线段两个端点的距离相等;

2)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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 时,设点 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 时,设点 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

3)依照题意,画出图象,

Shape50

猜想曲线 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的形状为抛物线,

故答案为:抛物线;

4 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

5 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

如图3,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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 为半径作圆 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> ,交抛物线 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

Shape51

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

设点 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 在抛物线上,

 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> (舍去),

如图3,可知当点 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 在点 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 下方时, <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的纵坐标 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a> 的取值范围为 <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/561/" title="山东" class="c1" target="_blank">山东</a> <a href="/tags/994/" title="德州" class="c1" target="_blank">德州</a> <a href="/tags/995/" title="山东省" class="c1" target="_blank">山东省</a>