题目内容
(本小题满分14分)
条件p:
条件q:![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823161136779744.gif)
(1)若k=1,求![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823161136810352.gif)
(2)若
的充分不必要条件,求实数k的取值范围
条件p:
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231611367641114.gif)
条件q:
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823161136779744.gif)
(1)若k=1,求
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823161136810352.gif)
(2)若
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823161136826300.gif)
(1)![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823161136842698.gif)
(2)![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823161136873293.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823161136842698.gif)
(2)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823161136873293.gif)
由题意可知:
;由
可得2-k<a<4-k,所以
........................................................................................ .........4分
(1)当k=1时,
,所以![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823161136966696.gif)
故
所以
.........................................................................................9分
(2)
的充分不必要条件,则
的充分不必要条件...................................11分
则
,解得
,...........................................14分
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823161136888563.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823161136904442.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823161136935649.gif)
(1)当k=1时,
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823161136951445.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823161136966696.gif)
故
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231611370131283.gif)
所以
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823161136842698.gif)
(2)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823161136826300.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823161137060263.gif)
则
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823161137154607.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823161136873293.gif)
![](http://thumb.zyjl.cn/images/loading.gif)
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