(本题满分12分)
已知全集
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003949700420.png)
,集合
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003949716767.png)
,
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003949732811.png)
,
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003949747883.png)
(1)求
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003949778442.png)
,
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003949794670.png)
;(2)若
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003949810513.png)
,求
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003949825283.png)
的取值范围.
试题分析:(1)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003949841906.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003949903880.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240039499191098.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003949934169.png)
……………………5分
(2)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003949966199.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003949966440.png)
①当
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003949981470.png)
时,满足
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003949966440.png)
此时
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003950028483.png)
,得
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003950044543.png)
②当
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003950075484.png)
时,要使
则
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003950106957.png)
,解得
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003950122620.png)
,综上所述:
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003949872386.png)
…………10分
点评:第二小题中由
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003949966440.png)
,对与集合C需分是否为空集两种情况
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