题目内容
(本题满分10分)已知函数
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823191453551873.gif)
(Ⅰ)若
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823191453753543.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823191453785287.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/2014082319145384772.gif)
(Ⅱ)在△ABC中,a、b、c分别为角A、B、C的对边,若
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823191453863502.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823191453878223.gif)
解:(Ⅰ)![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823191453909873.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823191453925778.gif)
. ……………3分
∵
,∴
,
∴
, 即
.
∴f(x)max=1,此时
,∴
. ……………6分
(Ⅱ)∵
,
在
中,∵
,
,
∴
,
. ……………8分
又
,
,由余弦定理得
,
故
.
……………10分
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823191453909873.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823191453925778.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823191453941636.gif)
∵
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823191453956467.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823191453972635.gif)
∴
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823191453987755.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823191454003574.gif)
∴f(x)max=1,此时
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823191454034494.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823191454050283.gif)
(Ⅱ)∵
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823191454065891.gif)
在
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823191454159400.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823191454175407.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823191454190606.gif)
∴
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823191454206475.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823191454237389.gif)
又
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823191454253232.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823191453878223.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823191454331733.gif)
故
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823191454362300.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/2014082319145437765.gif)
略
![](http://thumb.zyjl.cn/images/loading.gif)
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