配套习题- 双垂直中的相似（射影定理） -【青果学院】

1/5单选题

难度：

1.

Rt△ABC中，CD是斜边AB上的高，DE⊥AC于E，AC：CB=5：4，则AE：EC=（）

A	25：16
B	5：4
C	5：2
D	以上都不对

正确答案：QQ==

PGRpdj7op6PnrZTvvJrlnKhSdOKWs0FCQ+S4re+8jENE4oqlQULvvIxEReKKpUFD77yMPGJyPuKItOKWs0FEReKIveKWs0RDReKIveKWs0FDROKIveKWs0NCROKIveKWs0FCQ++8jDxicj7iiLRBRe+8mkVDPUFE77yaRELvvIxBQzxzdXA+Mjwvc3VwPj1BROKAokFC77yMQkM8c3VwPjI8L3N1cD49RELigKJBQu+8jDxicj7iiLRBRe+8mkVDPUFE77yaREI9QUM8c3VwPjI8L3N1cD7vvJpCQzxzdXA+Mjwvc3VwPj0yNe+8mjE2Ljxicj7mlYXpgIlBLjwvZGl2Pg==

2/5单选题

难度：

2.

如图，在△ABC中，∠ACB=90°，CD⊥AB，垂足为D，下列结论不正确的是（）

A	∠ACD=∠B
B	CD·AB=AC·BD
C	CD²=BD·AD
D	CB²=BD·AB

正确答案：Qg==

PGRpdj7op6PvvJrmoLnmja7nm7jkvLzlj6/lvpdB44CBQ+OAgUTmraPnoa7vvIxC5LiN5q2j56GuPC9kaXY+

3/5单选题

难度：

3.

在Rt△ABC中，∠C=90°，CD⊥AB于D，下列等式中错误的是（）

A	AD•BD=CD²
B	AC•BD=CB•AD
C	AC²=AD•AB
D	AB²=AC²+BC²

正确答案：Qg==

PGRpdj7op6PvvJrnlLHnm7jkvLzlj6/lvpdB44CBQ+ato+ehru+8jOeUseWLvuiCoeWumueQhuWPr+W+l0TmraPnoa48L2Rpdj4=

4/5单选题

难度：

4.

如图，在Rt△ABC，∠BAC=90°，AD⊥BC，AB=10，BD=6，则BC的值为（）

A
B	2
C
D

正确答案：RA==

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

5/5单选题

难度：

5.

已知：如图，△ABC中，AD⊥BC于D，下列条件：（1）∠B+∠DAC=90°；
（2）∠B=∠DAC；（3）CDAD =ACAB （4）AB²=BD·BC. 其中一定能够判定△ABC是直角三角形的有（）个

A	0
B	1
C	2
D	3

正确答案：RA==

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