题目内容
已知函数
,若
,则
的取值范围是( )
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408240226469281338.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824022646928610.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824022646943283.png)
A.![]() | B.![]() | C.![]() | D.![]() |
D;
作出函数图像,
在点(0,0)处的切线为制定参数的标准;当
时,
,
,
,故
;当
时,
,
,由于
上任意一点的切线斜率都要大于
,故
,综上所述,
.
本题考查分段函数、导数的几何意义,考查学生数形结合的能力.
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824022647006476.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824022647021390.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824022647037835.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824022647052621.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824022647224585.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824022647240427.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824022647255393.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824022647271856.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824022647286627.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824022647302442.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824022646943283.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824022647333396.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824022647349512.png)
本题考查分段函数、导数的几何意义,考查学生数形结合的能力.
![](http://thumb2018.1010pic.com/images/loading.gif)
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A.![]() | B.![]() | C.![]() | D.![]() |