配套习题- 与中位线有关的问题解题策略（二） -【青果学院】

1/5单选题

难度：

1.

如图，在四边形ABCD中，P是对角线BD的中点，E，F分别是AB，CD的中点，AD=BC，∠PEF=18°，则∠PFE的度数是（）度.

A	18°
B	36°
C	30°
D	45°

正确答案：QQ==

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

2/5单选题

难度：

2.

如图：在△ABC中，M是BC的中点；AP是∠A的平分线，BP⊥AP于P，AB=10，AC=12，则PM的长是（）

青果学院

A	3
B	4
C	2
D	1

正确答案：RA==

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

3/5单选题

难度：

3.

如图，在△ABC中，E是中线AD的中点，则AF：FC=（）

青果学院

A	1：2
B	1：3
C	2：3
D	2：5

正确答案：QQ==

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

4/5单选题

难度：

4.

如图，在四边形ABCD中，AB=CD，AB与CD不平行，M，N分别是AD，BC的中点. 则AB与MN的大小关系是（）

青果学院

A	AB＞MN
B	AB=MN
C	AB＜M
D	AB≤MN

正确答案：QQ==

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

5/5单选题

难度：

5.

如图∠A=∠ABC=∠C=45°，E、F分别是AB、BC的中点，则下列结论，①EF⊥BD，②EFBD，③∠ADC=∠BEF+∠BFE，④AD=DC，其中正确的是（）
青果学院

A	①②③④
B	①②③
C	①②④
D	②③④

正确答案：Qg==

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