配套习题- 正、余弦定理的综合应用（一） -【青果学院】

1/5单选题

难度：

1.在锐角

中，角A,B所对的边长分别为a,b.若2a

=

b，则角A等于（）

A
B
C
D

正确答案：RA==

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

2/5单选题

难度：

2.在

中，内角A,B,C的对边分别为a,b,c.若a

=

b，且a

，则

=（）

A
B
C
D

正确答案：QQ==

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

3/5单选题

难度：

3.在

中，角A,B,C的所对边的长分别为a,b,c.若

，则

的最小值为（）

A
B
C
D

正确答案：Qw==

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

4/5单选题

难度：

4.在

中，

=

，AB=

，BC=3，则

=（）

A
B
C
D

正确答案：Qw==

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

5/5单选题

难度：

5.如图，在

中，D是边AC上的点，且AB=AD，2AB=

，BC=2BD，则

的值为（）

A
B
C
D

正确答案：RA==

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