配套习题- 正、余弦定理的综合应用 -【青果学院】

1/3单选题

难度：

1.在△ABC中，顶点A、B、C所对的边长为a，b，c，且

，则∠B的大小为：（）

A	45°
B	90°
C	60°
D	30°

正确答案：Qw==

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

2/3单选题

难度：

2.

在锐角△ABC中，2asinB=，BC=2，则△ABC面积的最大值为：（）

A
B
C
D

正确答案：RA==

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

3/3单选题

难度：

3.在△ABC中，已知角A，B，C的对边分别为a，b，c，且bCosB+cCosC=aCosA，则△ABC是：（）

A	等腰三角形
B	直角三角形
C	等边三角形
D	等腰直角三角形

正确答案：Qg==

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