题目内容
记函数f(x)=
的定义域为A,g(x)=lg
的定义域为B
(1)求A;
(2)若B
A,求实数a的取值范围.
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151212969422.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151212984717.gif)
(1)求A;
(2)若B
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151213093141.gif)
(1)A=(-∞,-1)![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151213125148.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151213140246.gif)
(2)a的取值范围是![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151213156545.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151213125148.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151213140246.gif)
(2)a的取值范围是
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151213156545.gif)
(1)由2-
得
∴x<-1或x≥1,即A=(-∞,-1)![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151213125148.gif)
.
(2)由(x-a-1)(2a-x) >0,得(x-a-1)(x-2a)<0.∵a<1,∴a+1>2a,∵B=(2a,a+1).
又∵B
A,∴2a≥1或a+1≤-1,即a≥
或a≤-2.∵a<1,∴
≤a<1或a≤-2,
故B
A时,a的取值范围是![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151213156545.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151213171334.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151213203304.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151213125148.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151213140246.gif)
(2)由(x-a-1)(2a-x) >0,得(x-a-1)(x-2a)<0.∵a<1,∴a+1>2a,∵B=(2a,a+1).
又∵B
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151213093141.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151213265206.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151213265206.gif)
故B
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151213093141.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823151213156545.gif)
![](http://thumb.zyjl.cn/images/loading.gif)
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