题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192455-76599.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192455-52399.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192456-71817.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192456-61179.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192456-98584.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192456-47379.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192457-33212.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192457-53439.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192457-88424.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192457-68496.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192458-56665.png)
解析
试题分析:解:(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192456-71817.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192458-68490.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192458-95638.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192458-77774.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192459-37091.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192459-32277.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192457-88424.png)
所以曲线
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192456-61179.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192456-98584.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192459-79751.png)
(2)因为
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192459-33535.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192500-50421.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192500-99179.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192500-13193.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192500-74087.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192501-88833.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192501-40037.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192456-47379.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192501-39742.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192456-47379.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192457-33212.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192501-69644.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192457-68496.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192501-34667.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192456-47379.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192502-66589.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192456-47379.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192457-33212.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192502-96009.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192458-56665.png)
综上所述,实数
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192502-14785.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192457-68496.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192458-56665.png)
点评:主要是考查了导数的几何意义的运用,以及运用导数判定函数单调性,属于中档题。
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192446-82751.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192431-29302.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192431-72713.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192432-30327.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192432-84274.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192432-18421.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192432-34912.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192351-89857.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192351-25669.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192352-61477.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192352-82654.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192340-35600.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192340-36970.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192340-88524.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192340-40563.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192341-39710.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192341-76882.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192341-42011.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192340-35600.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192342-50866.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192342-55716.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192342-42273.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192318-62987.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192318-49306.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192319-92008.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192319-46582.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192319-55372.png)
(Ⅰ)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192319-55372.png)
(Ⅱ)令
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192320-24014.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192320-52774.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192321-73971.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192321-36470.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192321-30931.png)
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