题目内容
若2x+2y=1,则x+y的取值范围是( )
A.[0,2] | B.[-2,0] |
C.[-2,+∞) | D.(-∞,-2] |
D
因为2x+2y≥2
=2
,
所以
≤
,
所以2x+y≤
,
所以x+y≤-2.故选D.
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824040630037514.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824040630053493.png)
所以
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824040630053493.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824040630084338.png)
所以2x+y≤
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824040630100303.png)
所以x+y≤-2.故选D.
![](http://thumb.zyjl.cn/images/loading.gif)
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题目内容
A.[0,2] | B.[-2,0] |
C.[-2,+∞) | D.(-∞,-2] |