题目内容
若
是偶函数,
为常数,且
的最小值是0.
(1)求
的值; (2)求
的最大值及此时
的集合.
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231953344131399.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823195334429299.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823195334445463.png)
(1)求
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823195334476431.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823195334445463.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823195334507266.png)
(1)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231953347101002.png)
……………5分
(2)由
解得
或![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231953348971292.png)
此时,
……………7分
当
时,
最大值为0,不合题意,舍去
当
时,
最小值为0 ……………9分
当
时,
有最大值为
,自变量x的集合为{x|x=2kp+p,kÎZ}.…… 12分
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823195334679706.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231953347101002.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823195334725864.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823195334835536.png)
(2)由
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231953348501190.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231953348811287.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231953348971292.png)
此时,
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823195334928948.png)
当
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823195334944703.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823195334975978.png)
当
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823195334991671.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823195335006991.png)
当
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823195335037470.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823195334445463.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823195335069446.png)
略
![](http://thumb.zyjl.cn/images/loading.gif)
练习册系列答案
相关题目