题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101333-98137.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101334-74651.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101334-80869.png)
(1)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101334-32857.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101334-69201.png)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101335-82063.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101335-95295.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101335-78694.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101335-17951.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101335-79553.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101336-32207.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101336-78673.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101336-34640.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101336-61732.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101337-90456.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101337-11600.png)
解析
试题分析:本题考查导数的运算,利用导数研究函数的单调性、最值等基础知识,考查分类讨论思想和运算能力.第一问,先求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101334-32857.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101334-69201.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101334-80869.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101337-32406.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101337-32406.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101334-32857.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101334-69201.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101335-82063.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101336-34640.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101334-32857.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101334-69201.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101337-26566.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101337-26407.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101334-32857.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101337-26566.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101338-90855.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101338-30285.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101338-23732.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101338-14353.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101338-23732.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101339-34385.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101337-11600.png)
试题解析:(1)由
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101333-98137.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101339-53318.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101334-74651.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101339-80281.png)
又由题意可得
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101339-84093.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101339-22844.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101335-79553.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101336-34640.png)
所以当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101335-79553.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101336-32207.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101336-78673.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101336-34640.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101336-61732.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101337-90456.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101336-34640.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101336-61732.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101337-90456.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101338-90855.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101340-65205.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101334-32857.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101340-75295.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101340-87265.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101338-90855.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101340-63343.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101334-69201.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101340-75295.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101341-49946.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101341-68134.png)
要使不等式
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101341-86200.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101335-78694.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101337-26566.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101335-17951.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101341-19147.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101342-50198.png)
而
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101342-81495.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101337-11600.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101327-97768.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101327-18609.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101327-24901.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101327-53294.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101328-41772.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101322-89271.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101322-26427.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101322-63061.png)
A.(-1, 1) | B.(-1,+![]() | C.(-![]() | D.(-![]() ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101316-13677.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101316-90381.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101317-21085.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101317-54840.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101316-13677.png)
A.有极大值,无极小值 | B.有极小值,无极大值 |
C.既无极大值,也无极小值 | D.既有极大值,又有极小值 |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101259-29805.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101240-91114.png)
(I)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101240-63225.png)
(II) 若关于
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101240-35728.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101240-51647.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101241-55685.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101241-13816.png)
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