题目内容
若不等式(a
-1)x
-(a-1)x-1<0,对x
均成立,则实数的取值范围是
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823160412241129.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823160412241129.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823160412272226.gif)
A.![]() | B.(-1,1 ), | C.![]() | D.(-![]() |
A
a
-1=0时,a=±1,若a=-1则不等式化为2x-1<0,不恒成立;若a=1则不等式化为-1<0,,∴x
;a
-1≠0时,须a
-1<0且Δ="(a-1)"
+4(a
-1)<0∴-
<a<1,综上知a![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823160412506135.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823160412288468.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823160412241129.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823160412272226.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823160412241129.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823160412241129.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823160412241129.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823160412241129.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823160412319222.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823160412506135.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823160412288468.gif)
![](http://thumb.zyjl.cn/images/loading.gif)
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