题目内容
已知
,
,若
,
或
,则m的取值范围是
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823220428169955.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823220428278624.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823220428294534.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823220428325525.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823220428341530.png)
(-4,0)
首先看
没有参数,从
入手,显然x<1时,
;
时,
,而对
,f(X)<0或g(x)<0成立即可,故只要
时,f(X)<0(*)恒成立即可,?当m=0时,
,不符合(*)式,舍去;?当
时,由
得
,并不对
成立,舍去;?当
时,由
,注意
,故
,所以
,即
,又
,故
,所以
又
,故
,综上,m的取值范围是![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823220429168473.png)
【考点定位】本题考查学生函数的综合能力,涉及到二次函数的图像开口,根大小,涉及到指数函数,还涉及到简易逻辑中的“或”,还考查学生的分类讨论思想,对m进行讨论:![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823220429199618.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823220428278624.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823220428278624.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823220428341530.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823220428512365.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823220428544542.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823220428294534.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823220428606466.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823220428622520.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823220428653435.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/201408232204286841030.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823220428824623.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823220428606466.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823220428949433.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/201408232204286841030.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823220428980656.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823220429012572.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823220429027593.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823220429043631.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823220429074358.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823220429090785.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823220429105449.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823220428949433.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823220429152641.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823220429168473.png)
【考点定位】本题考查学生函数的综合能力,涉及到二次函数的图像开口,根大小,涉及到指数函数,还涉及到简易逻辑中的“或”,还考查学生的分类讨论思想,对m进行讨论:
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823220429199618.png)
![](http://thumb2018.1010pic.com/images/loading.gif)
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