配套习题- 勾股定理 -【青果学院】

1/5单选题

难度：

1.

如图，在△ABC中，∠C=90°，AC=2，点D在BC上，∠ADC=2∠B，AD=，则BC的长为（　　）

A
B
C
D	+1

正确答案：RA==

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

2/5单选题

难度：

2.

图1为一个长方体，AD=AB=10，AE=6，M，N为所在棱的中点，图2为图1的表面展开图，则图2中MN的长度为（　　）

A	11
B	10
C	10
D	8

正确答案：QQ==

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

3/5单选题

难度：

3.如图，A，B是直线l同侧的两点，作点A关于直线l的对称点A′，连结A′B．若点A，B到直线l的距离分别为2和3，则线段AB与A′B之间的数量关系是（　　）

A	A′B²-AB²=13
B	A′B²-AB²=24
C	A′B²+AB²=25
D	A′B²+AB²=26

正确答案：Qg==

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

4/5单选题

难度：

4.由四个全等的直角三角形如图所示的“赵爽弦图”，若直角三角形斜边长为2，一个锐角围为30°，则图中阴影部分的面积为（　　）

A	1
B	3
C	4-2
D	4+2

正确答案：Qw==

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

5/5单选题

难度：

5.如图，每个小正方形的边长为1，A、B、C是小正方形的顶点，则∠ABC的度数为()

A	90°
B	60°
C	45°
D	30°

正确答案：Qw==

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