配套习题- “翻折法”解决角平分线中的线段和差问题 -【青果学院】

1/5单选题

难度：

1.

△ABC中，AD是∠BAC的平分线，且AB=AC+CD. 若∠BAC=60°，则∠ABC的大小为（　　）

A	40°
B	60°
C	80°
D	100°

正确答案：QQ==

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

2/5单选题

难度：

2.

△ABC中，∠C=90°，BE平分∠ABC，ED⊥AB于点D，若AC=3cm，则AE+DE的结果为（　　）

A	5cm
B	4cm
C	3cm
D	6cm

正确答案：Qw==

PGRpdj7op6PvvJriiLXiiKBDPTkwwrDvvIxCReW5s+WIhuKIoEFCQ++8jEVE4oqlQULvvIw8YnI+4oi0Q0U9REXvvIw8YnI+4oi1QUM9M2Nt77yMPGJyPuKItEFFK0RFPUFFK0VDPUFDPTNjbe+8jDxicj7mlYXpgIlDLjwvZGl2Pg==

3/5单选题

难度：

3.

如图，在△ABC中，AD是△ABC的角平分线，AC=AB+BD，下列正确的是（　　）

A	∠B=∠C
B	∠B=2∠C
C	∠B=3∠C
D	∠B=

正确答案：Qg==

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

4/5单选题

难度：

4.

如图，在Rt△ABC中，∠C=90°，斜边AB的垂直平分线交AB于点D，交BC于点E，AE平分∠BAC，那么下列关系中不成立的是（）

A	∠B=∠CAE
B	∠DEA=∠CEA
C	BE=2EC
D	AC=2EC

正确答案：RA==

PGRpdj7op6PnrZTvvJpB44CB4oi1RUTiiqVBQu+8jOS4lEJEPUFE77yMPGJyPuKItOKIoEI94oigREFF77yMPGJyPuWPiOKItUFF5bmz5YiG4oigQkFD77yMPGJyPuKItOKIoENBRT3iiKBEQUXvvIw8YnI+5pWF4oigQj3iiKBDQUUuIOato+ehru+8mzxicj5C44CB5Zyo4pazQURF5LiO4pazQUNF5Lit77yM4oigQ0FFPeKIoERBRe+8jOKIoEM94oigQURFPTkwwrDvvIw8YnI+5qC55o2u5LiJ6KeS5b2i5YaF6KeS5ZKM5a6a55CG4oigREVBPeKIoENFQS4g5q2j56Gu77ybPGJyPkPjgIHiiLVFROKKpUFC77yM5LiUQkQ9QUTvvIziiLTiiKBCPeKIoEJBRe+8jOato+ehru+8mzxicj5E44CB5LiN5LiA5a6a5oiQ56uLLjxicj7mlYXpgIlELjwvZGl2Pg==

5/5单选题

难度：

5.

如图，已知四边形ABCD中，AD∥BC，若∠DAB的平分线AE交CD于E，连接BE，且BE恰好平分∠ABC，则AB的长与AD+BC的大小关系是（　　）

A	AB＞AD+BC
B	AB＜AD+BC
C	AB=AD+BC
D	无法确定

正确答案：Qw==

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