题目
题型:解答题难度:简单来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181257-34200.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181258-72499.png)
(1)试确定
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181258-64454.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181258-25783.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181258-75201.png)
(2)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181258-25783.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181258-75201.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181259-61649.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181259-47703.png)
解析
试题分析:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181259-29828.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181259-80381.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181259-53691.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181259-38545.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181300-37314.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181259-61649.png)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181300-33128.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181259-80381.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181300-33807.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181300-75174.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181300-96617.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181259-80381.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181301-79652.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181301-33672.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181301-38982.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181300-75174.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181301-57034.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181259-80381.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181302-21229.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181259-38545.png)
同理
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181301-38982.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181300-75174.png)
综上:当
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181259-80381.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181300-33807.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181259-47703.png)
点评:对于导数在研究函数中的运用,一般考查了导数的符号与函数单调性的关系,以及函数的最值,属于基础题。
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181248-76104.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181248-67556.png)
(Ⅰ)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181248-28174.png)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181248-59599.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181248-29947.png)
(Ⅲ)若
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181249-77382.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181249-49371.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181249-94172.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181241-86602.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181241-22261.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181241-27365.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181242-38722.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181242-35882.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181242-88894.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181239-41397.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181239-44942.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181239-60155.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181239-56113.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181239-73643.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181235-57502.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181235-55040.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181235-86289.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181236-74518.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181219-72386.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181219-89785.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181219-13688.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181220-10685.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181220-56527.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181220-26464.png)
(1)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181219-72386.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181220-86325.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181220-37279.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181221-56347.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181221-76014.png)
(3)试问:是否存在实数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181221-75075.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181221-23834.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181219-72386.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181221-75075.png)
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