题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063406-21029.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063406-82242.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063406-58596.gif)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063406-44573.gif)
(2)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063406-72951.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063406-37342.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063406-78722.gif)
(3)是否存在
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063406-44573.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063406-57907.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063407-38671.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063407-82252.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063407-87928.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063407-52856.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063408-68959.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063408-12258.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063408-10852.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063408-16412.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063408-23431.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063408-98602.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063409-88620.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063409-59537.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063409-53610.gif)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063409-41898.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063409-94922.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063410-27915.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063407-82252.gif)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063408-98602.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063410-26567.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063410-66009.gif)
[m、n]
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063410-53389.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063407-87928.gif)
(3)(方法一)由于
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063410-12182.gif)
在
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063410-26567.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063411-50021.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063411-27947.gif)
且
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063411-67197.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063408-98602.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063411-61050.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063408-98602.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063412-10190.gif)
得
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063412-25794.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063412-95623.gif)
在
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063412-73141.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063412-53136.gif)
依上,不存在
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063406-44573.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063407-38671.gif)
(方法二)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063407-38671.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063412-74346.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063413-31048.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063413-81808.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063413-56599.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063413-18977.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063413-34664.gif)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063414-25559.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063414-21236.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063414-35517.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063414-31972.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063415-34667.gif)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063415-34119.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063415-20592.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063415-84204.gif)
核心考点
试题【设,在处取得极大值,且存在斜率为的切线。(1)求的取值范围;(2)若函数在区间上单调递增,求的取值范围;(3)是否存在的取值使得对于任意,都有。】;主要考察你对常见函数的导数等知识点的理解。[详细]
举一反三
已知函数f(x)=
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063350-76947.gif)
(I)求a、b所满足的条件;
(II)讨论函数f(x)的单调性.
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063345-24938.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063345-24772.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063345-45494.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063345-17183.gif)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063341-69530.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063341-75691.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063341-45674.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063341-34311.gif)
A.
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063341-93943.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063341-93943.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063341-62223.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063342-50331.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063342-23443.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063327-17852.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063327-52173.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063327-71995.gif)
(I)试讨论函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063327-30520.gif)
(II)设
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063328-51439.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063328-11828.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063318-75110.gif)
(Ⅰ)求函数f (x)在点(0, f (0))处的切线方程;
(Ⅱ)求f (x)的极小值;
(Ⅲ)若对所有的
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063318-13051.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018063318-20250.gif)
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