配套习题- 菱形性质的应用 -【青果学院】

1/5单选题

难度：

1.

如图，在菱形ABCD中，∠BAD=80°，AB的垂直平分线交对角线AC于点F，点E为垂足，连接DF，则∠CDF为（）

青果学院

A	80°
B	70°
C	65°
D	60°

正确答案：RA==

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

2/5单选题

难度：

2.

在菱形ABCD中，对角线AC、BD相交于点O，AB=5，AC=6，过点D作AC的平行线交BC的延长线于点E，则△BDE的面积为（）

青果学院

A	22
B	24
C	48
D	44

正确答案：Qg==

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

3/5单选题

难度：

3.

如图，菱形ABCD中，∠B=60°，AB=2cm，E、F分别是BC、CD的中点，连接AE、EF、AF，则△AEF的周长为（）

青果学院

A
B
C
D

正确答案：Qg==

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

4/5单选题

难度：

4.如图，在菱形ABCD中，AB=BD，点E、F分别在BC、CD上，且BE=CF，连接BF、DE交于点M，延长ED到H使DH=BM，连接AM，AH，则以下四个结论：①△BDF≌△DCE；②∠BMD=120°；③△AMH是等边三角形；④

其中正确结论的个数是（）

A	1
B	2
C	3
D	4

正确答案：Qw==

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

5/5单选题

难度：

5.

如图，在平面直角坐标系中，菱形ABCD的四个顶点均在坐标轴上，A（0，2），∠ABC=60°. 把一条长为2013个单位长度且没有弹性的细线（线的粗细忽略不计）的一端固定在点A处，并按A-B-C-D-A-…的规律紧绕在菱形ABCD的边上，则细线另一端所在位置的点的坐标是（）

青果学院

A
B
C
D

正确答案：Qw==

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