题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044949-58531.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044949-34983.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044949-68989.png)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044949-62001.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044949-84990.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044949-15735.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044950-64957.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044950-79328.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044950-10133.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044950-59891.png)
解析
试题分析:本题主要考查导数的运算,利用导数研究函数的单调性、不等式基础知识,考查函数思想、分类讨论思想,考查综合分析和解决问题的能力.第一问,求导,用导数的正负来判断函数的单调性;第二问,分类讨论,先讨论
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044951-50174.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044951-63195.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044949-15735.png)
试题解析:(1)∵
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044949-34983.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044951-15581.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044951-49405.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044951-62851.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044952-34332.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044952-45839.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044951-63195.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044952-68837.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044949-68989.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044950-64957.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044950-79328.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044950-10133.png)
(2)由
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044949-84990.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044952-68380.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044952-58149.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044951-50174.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044951-63195.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044953-90252.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044953-48761.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044953-98028.png)
所以易知
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044953-97285.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044953-71778.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044954-72750.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044950-59891.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044933-78495.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044933-76417.png)
(Ⅰ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044934-34139.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044934-68111.png)
(Ⅱ)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044934-68111.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044933-76417.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044934-68111.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044921-38127.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044921-95554.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044922-36647.png)
(Ⅰ)讨论函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044922-69363.png)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044922-11070.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044922-31676.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044923-34218.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044913-67874.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044902-12764.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044902-26620.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044903-87284.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044855-53871.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044855-48417.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044855-14868.png)
(2)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044855-14868.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044856-83249.png)
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