题目内容
在△ABC中, 已知a=
, b=
, ∠B=60°, 那么∠A等于( )
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823164836304352.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823164836320346.png)
A.30° | B.45° | C.90° | D.135° |
B
解析:由正弦定理得:
=
?
=
,sinA=
sinB=
,
∴A=45°或135°
∵a<b
∴A<B
∴A=45°
故选B
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823164836336512.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823164836351498.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823164836382592.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823164836398577.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823164836429467.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823164836445413.png)
∴A=45°或135°
∵a<b
∴A<B
∴A=45°
故选B
![](http://thumb.zyjl.cn/images/loading.gif)
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题目内容
A.30° | B.45° | C.90° | D.135° |