题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120326-46439.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120326-64093.png)
(Ⅰ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120326-89241.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120326-89241.png)
(Ⅲ)求所有实数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120327-92422.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120327-42658.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120327-48091.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120327-51377.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120326-89241.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120328-40171.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120328-55635.png)
(3)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120328-70824.png)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120328-51080.png)
(II)求导根据导数大于零求增区间,导数小于零求减区间。
(III)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120327-42658.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120327-48091.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120328-48839.png)
(Ⅱ)解:因为,
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120329-32708.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120329-53333.png)
由于
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120326-64093.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120326-89241.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120328-40171.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120328-55635.png)
(Ⅲ) 证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120329-81459.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120329-99293.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120330-65033.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120330-57004.png)
由(Ⅰ)知
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120330-80375.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120330-38361.png)
只要
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120331-52320.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120328-70824.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120319-90333.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120320-23748.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120309-35043.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120309-91781.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120309-96801.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120310-12910.png)
(2)当a=1时,求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120309-91781.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120310-40910.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120259-56133.jpg)
(I )用a表示b, c;
(II) 若函数g(x)=x-f(x)在
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120259-10957.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120256-22307.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120256-99185.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120256-22307.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120256-99185.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120256-26792.png)
(A) (B) (C) (D)
(Ⅰ)求函数f(x)的单调区间;
(Ⅱ)若a=4,y=f(x)的图像与直线y=m有三个交点,求m的取值范围。
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