题目内容
已知集合A={x|1<ax<2},集合B={x||x|<1}.当A
B时,求a的取值范围.
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824041914096232.png)
a≤-2或a=0或a≥2.
试题分析:根据B={x||x|<1},求得B={x|-1<x<1},由A⊆B,及A={x|1<ax<2},解含参数的不等式1<ax<2,对a 进行讨论,并求出此时满足题干的a应满足的条件,解不等式即可求得实数a的范围..
试题解析:由已知,B={x|-1<x<1}.
(ⅰ)当a=0时,A=
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824041914111370.png)
(ⅱ)当a>0时,
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824041914127972.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824041914096232.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824041914158834.png)
(ⅲ)当a<0时,
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824041914174967.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824041914096232.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824041914205827.png)
![](http://thumb.zyjl.cn/images/loading.gif)
练习册系列答案
相关题目