题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065427-93488.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065427-38274.gif)
(1)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065428-80635.gif)
(2)曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065428-75041.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065428-83248.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065428-69251.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065428-15357.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065429-38813.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065428-80635.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065429-17356.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065429-60418.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065429-97386.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065428-80635.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065429-41373.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065430-33166.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065430-77728.gif)
(2)实数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065429-97386.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065430-62744.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065430-94770.gif)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065430-93531.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065431-86027.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065431-42020.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065427-38274.gif)
列出
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065429-60418.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065431-21054.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065428-80635.gif)
![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
![]() | ![]() | ![]() | — | 0 | ![]() |
![]() | ↗ | 极大值 | ↘ | 极小值 | ↗ |
由表可知:函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065428-80635.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065429-41373.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065430-33166.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065430-77728.gif)
(2)由(1)可知,只有
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065431-86027.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065431-42020.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065429-38813.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065432-58141.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065432-52670.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065432-13492.gif)
由曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065428-80635.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065433-56016.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065429-60418.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065433-63312.gif)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065433-75874.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065433-28865.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065433-10514.gif)
故实数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065429-97386.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065430-62744.gif)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065416-95338.gif)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065416-71981.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065416-61948.gif)
(2)若不等式
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065416-44973.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065417-52649.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065417-67695.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065357-93561.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065357-22538.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065357-19734.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065357-46635.gif)
(Ⅰ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065357-57513.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065358-56567.gif)
(Ⅱ)讨论函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065357-46635.gif)
(Ⅲ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065358-82097.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065357-46635.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065358-83720.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065342-55182.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065342-58762.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065342-10591.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065342-59490.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065343-24745.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065343-23007.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065343-24745.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065343-85910.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065343-27686.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065343-21769.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065343-97353.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065342-10591.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065331-63728.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065331-72124.gif)
(Ⅰ)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065332-12614.gif)
(Ⅱ)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065332-62446.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065332-83827.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065332-11958.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065314-78645.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065314-46668.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065314-24744.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065314-24638.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065315-71725.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065315-13870.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065315-28652.gif)
(Ⅱ)讨论关于
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065315-61783.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065316-23396.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065316-59099.gif)
(Ⅲ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065316-77103.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065316-42154.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065314-46668.gif)
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