配套习题- 利用锐角三角函数的概念求值 -【青果学院】

1/5单选题

难度：

1.

如图，在△ABC中，∠C=90°，AB=5，BC=3，则sinA的值是（）

A
B
C
D

正确答案：Qw==

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

2/5单选题

难度：

2.在Rt△ABC中，若各边长都增加一倍，则锐角A的四个锐角三角函数值（）

A	都增加一倍
B	都减小一倍
C	都不变
D	不能确定

正确答案：Qw==

6Kej77ya4oi15ZyoUnTilrNBQkPkuK3vvIzlkITovrnplb/pg73lop7liqDkuIDlgI3vvIw8YnI+4oi05Y+Y5YyW5ZCO55qE5Zu+5b2i5LiO5Y6f5Zu+5b2i55u45Ly877yM5a6D5Lus55qE5a+55bqU6KeS55u4562J77yMPGJyPuKItOmUkOinkkHnmoTlm5vkuKrplJDop5LkuInop5Llh73mlbDlgLzpg73kuI3lj5guIDxicj7mlYXpgIlDLiA=

3/5单选题

难度：

3.

如图，在8×4的矩形网格中，每格小正方形的边长都是1，若△ABC的三个顶点在图中相应的格点上，则tan∠ACB的值为（）

A
B
C
D	3

正确答案：QQ==

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

4/5单选题

难度：

4.

如图，A、B、C三点在正方形网格线的交点处，若将△ABC绕着点A逆时针旋转得到△AC′B′，则tanB′的值为（）

A
B
C
D

正确答案：Qg==

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

5/5单选题

难度：

5.

直角三角形纸片的两直角边长分别为6，8，现将△ABC如图那样折叠，使点A与点B重合，折痕为DE，则tan∠CBE的值是（）

A
B
C
D

正确答案：Qw==

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