题目内容
(本题满分12分)已知向量a
, b
,若
.(I)求函数
的解析式和最小正周期;
(II) 若
,求
的最大值和最小值.
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151615362520.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151615377638.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151615393482.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151615455276.gif)
(II) 若
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151615471508.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151615455276.gif)
f(x)
,![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151615674475.gif)
,
;
,
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151615611730.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151615674475.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151615736762.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151615752521.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151615783775.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151615799435.gif)
17.解:(I)∵a
, b
,
∴
a·b+1
----------------2分
---------------------------------4分
--------------------------------------6分
. -------------------------------------------7分
∴函数
的最小正周期
. --------------------------8分
(II)
, ∴
. ------------------------------------------------9分
∴
,
;------------------11分
,
-----------------------12分
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151615814580.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151615377638.gif)
∴
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151615845318.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151615861725.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151615877702.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151615986590.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151615611730.gif)
∴函数
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151616033297.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151615674475.gif)
(II)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151616048517.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151616064618.gif)
∴
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151615736762.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151615752521.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151615783775.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151615799435.gif)
![](http://thumb.zyjl.cn/images/loading.gif)
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