题目内容
已知△ABC的三个内角A、B、C所对的边分别为a,b,c,且![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022315469903.png)
(1)求角A的大小,
(2)若
,求b的值.
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022315469903.png)
(1)求角A的大小,
(2)若
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022315485816.png)
(1)
;(2)
.
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022315501501.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022315516512.png)
试题分析:本题主要考查解三角形中正弦定理的应用,考查降幂公式和三角方程的解法,考查基本运算能力.第一问,是求角的大小,利用降幂公式将已知表达式进行恒等变形,得出所求角的三角函数值,然后判断角的范围,在范围内求角;第二问,求边长,通过分析题意,可以看出本问符合正弦定理,但是少一个
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022315516431.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022315516431.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022315516431.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022315563299.png)
试题解析:(1)由
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022315469903.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022315672936.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022315688738.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022315703611.png)
因为
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022315719529.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022315501501.png)
(2)由
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022315750618.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022315797586.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022315797771.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240223158131504.png)
![](http://thumb.zyjl.cn/images/loading.gif)
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