配套习题- 灵活构造平行四边形解题 -【青果学院】

1/5单选题

难度：

1.如图所示. 在▱ABCD中，AE⊥BC，CF⊥AD，DN=BM. 连接EF与MN，则EF与MN的关系为（）。

A	EF与MN互相平行
B	EF与MN互相垂直
C	EF与MN互相平分
D	无法确定

正确答案：Qw==

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

2/5单选题

难度：

2.已知如图，平行四边形ABCD的对角线AC和BD交于O，E、F分别为OB、OD的中点，过O任作一直线分别交AB、CD于G、H，连接GF、EH，则GF与EH的关系是（）。

A	GF EH
B	GF∥EH
C	GF＝EH
D	无法确定

正确答案：QQ==

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

3/5单选题

难度：

3.如图所示，分别以△ABC三边长为边在同一方向作三个等边三角形

，连接CD、EF，分析CD与EF的关系为（）。

A	EF与CD互相平分
B	EF与CD互相平行
C	EF与CD相等
D	无法确定

正确答案：QQ==

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

4/5单选题

难度：

4.如图，

中，D在AB上，E在AC的延长线上，BD=CE连结DE，交BC于F，∠BAC外角的平分线交BC的延长线于G，且AG//DE，则BF与FC的数量关系是（）。

A	BF＝FC
B	BF＝FC
C	BF≠FC
D	无法确定

正确答案：Qg==

6Kej77ya6L+H54K5Q+S9nENNLy9BQuS6pEJF5LqO54K5Te+8jOi/nuaOpUJN44CBQ0TvvIzliJniiKBDTUU94oigQURFPGJyPjxpbWcgd2lkdGg9MjUxIGhlaWdodD05OCBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwL0E1LzFFL3JCQUNFMU9aUW9fekdCcUtBQUFRU1hVejhfazc3LmpwZWciPjxicj48aW1nIHdpZHRoPTE2MSBoZWlnaHQ9MTIyIHNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvNjgvRjUvckJBQ0ZGT1pRb19CbUNXekFBQUlreXVmd0Y4MDk4LnBuZyI+PGJyPuKItOWbm+i+ueW9okJNQ0TkuLrlubPooYzlm5vovrnlvaI8YnI+4oi0QkY9Q0Y8YnI+5pWF6YCJQuOAgg==

5/5单选题

难度：

5.如图，在四边形ABCD中，AD=BC，E、F分别是CD、AB的中点，直线EF分别交BC、AD延长线于S、T，则∠ATF与∠BSF的数量关系是（）

A	∠ATF＝∠BSF
B	∠ATF＝∠BSF
C	∠ATF＝2∠BSF
D	∠ATF≠∠BSF

正确答案：Qg==

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