配套习题- 勾股定理“助力”几何证明（二） -【青果学院】

1/5单选题

难度：

1.

如图所示，四边形OABC为正方形，边长为6，点A，C分别在x轴，y轴的正半轴上，点D在OA上，且D的坐标为（2，0），P是OB上的一动点，试求PD+PA和的最小值是（　　）

A
B
C	4
D	6

正确答案：QQ==

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

2/5单选题

难度：

2.直角三角形有两边分别为3和4，下列说法错误的是（　　）

A	斜边一定为5
B	面积可能为6
C	斜边可能为4
D	斜边上的高可能为2.4

正确答案：QQ==

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

3/5单选题

难度：

3.

在△ABC中，∠BAC=45°，AD⊥BC，BD=3，CD=2，则△ABC的面积为（）

A	15
B	16
C	17
D	18

正确答案：QQ==

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

4/5单选题

难度：

4.

如图所示，两块完全相同的含30°角的直角三角板叠放在一起，且∠DAB=30°. 有以下四个结论：①AF⊥BC；②△ADG≌△ACF；③O为BC的中点；④AG：DE=，其中正确结论的个数是（　　）个

A	1
B	2
C	3
D	4

正确答案：RA==

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

5/5单选题

难度：

5.

在中，，，分别是上两点，，则满足的关系是（）

A
B
C
D

正确答案：QQ==

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