题目内容
已知命题p:
≤
≤
,命题q:x+
∈
,则下列说法正确的是 ( ).
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824034302884303.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824034302899349.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824034302915338.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824034302931314.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824034302946563.png)
A.p是q的充要条件 |
B.p是q的充分不必要条件 |
C.p是q的必要不充分条件 |
D.p是q的既不充分也不必要条件 |
B
由
≤2x≤
,∴-2≤x≤-1.又-
≤x+
≤-2,得-2≤x≤-
.
∴p是q的充分不必要条件.
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824034302884303.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824034302915338.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824034302993368.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824034302931314.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824034302915338.png)
∴p是q的充分不必要条件.
![](http://thumb.zyjl.cn/images/loading.gif)
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