配套习题- 如何作中线求相似证等积式 -【青果学院】

1/5单选题

难度：

1.

如图，在△ABC中，D为边BC上一点，已知=，E为AD的中点，延长BE交AC于F，的值为（）

青果学院

A
B	4
C
D

正确答案：Qw==

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

2/5单选题

难度：

2.

如图，在▱ABCD中，点E是AD中点，连接BE，交AC于点F，如果△AEF的面积为1，则▱ABCD的面积为（　　）

青果学院

A	4
B	6
C	12
D	18

正确答案：Qw==

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

3/5单选题

难度：

3.

如图，E、F分别是平行四边形ABCD边BC、CD的中点，AE、AF交BD于点G、H，若△AGH的面积为1，则五边形CEGHF的面积是（　　）

青果学院

A	1
B	2
C	3
D	4

正确答案：Qg==

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

4/5单选题

难度：

4.

在Rt△ACB中，∠C=90°，AC=BC，一直角三角板的直角顶角O在AB边的中点上，这块三角板绕O点旋转，两条直角边始终与AC、BC边分别相交于E、F，连接EF，则在运动过程中，△OEF与△ABC的关系是（　　）

青果学院

A	一定相似
B	当E是AC中点时相似
C	不一定相似
D	无法判断

正确答案：QQ==

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

5/5单选题

难度：

5.

如图，△ABC与△DEF均为等边三角形，O为BC、EF的中点，则AD：BE的值为（　　）

青果学院

A
B
C	5：3
D	不确定

正确答案：QQ==

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