题目内容
如图,直线y1=kx+b过点A(0,2)且与直线y2=mx交于点P(-1,-m),则关于x的不等式组mx>kx+b>mx-2的解集为( )
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408230338293812085.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408230338293812085.png)
A.x<-1 | B.-2<x<0 | C.-2<x<-1 | D.x<-2 |
C.
试题分析:由于直线y1=kx+b过点A(0,2),P(-1,-m),
则有:
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823033829397850.png)
解得
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823033829412827.png)
∴直线y1=(m+2)x+2.
故所求不等式组可化为:
mx>(m+2)x+2>mx-2,
不等号两边同时减去mx得,0>-2x+2>-2,
解得:1<x<2,
故选C.
![](http://thumb.zyjl.cn/images/loading.gif)
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