题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042455-35082.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042456-83057.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042456-80570.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042456-15993.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042456-57083.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042457-24565.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042457-98451.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042457-96949.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042457-85015.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042458-64507.png)
解析
试题分析:(1)先判断函数的定义域,再求函数的导函数,根据极值点为导数为0时的根,找出函数中所含未知数的范围和两个极值点与
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042458-99508.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042457-24565.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042458-78324.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042458-43722.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042457-96949.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042458-43722.png)
试题解析:(1)解:函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042459-86131.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042459-77934.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042459-48020.png)
依题意,方程
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042459-26130.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042500-80958.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042500-82337.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042500-16535.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042500-91974.png)
并且
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042500-12959.png)
所以,
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042501-35001.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042501-34518.png)
故
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042457-24565.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042457-85015.png)
(2)解当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042457-98451.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042501-43908.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042458-78324.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042501-50403.png)
于是有
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042502-38758.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042502-87112.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042502-26508.png)
构造函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042502-32233.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042502-97957.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042503-51590.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042503-15290.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042503-78527.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042503-57584.png)
故
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042457-96949.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042458-64507.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042448-69205.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042448-53558.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042448-44010.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042448-25570.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042448-82124.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042449-74215.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042449-41104.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042432-47098.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042432-17578.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042432-30613.png)
(2)设不等式
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042432-50187.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042432-11050.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042433-16483.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042433-54938.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042422-68302.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042422-40334.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042422-23042.png)
(2)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042423-62472.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042423-29379.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042423-77768.png)
(注:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042423-74118.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042413-60183.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042413-10427.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042413-74379.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042414-74298.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042414-25586.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042414-25586.png)
(2)试比较
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042414-52834.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042415-80309.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042407-85447.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042407-81537.png)
A.(0,1) | B.(1,2) | C.(2,3) | D.(3,4) |
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