题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051901-76806.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051901-89512.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051902-32421.png)
(Ⅰ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051902-48275.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051902-80403.png)
(Ⅱ)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051902-43240.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051903-57777.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051903-72657.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051903-27150.png)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051903-91069.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051904-58748.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051904-77337.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051902-43240.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051904-96169.png)
解析
试题分析:解(I)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051902-48275.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051904-46043.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051904-61919.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051905-44675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051905-17741.png)
切线方程
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051905-40517.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051903-27150.png)
(II)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051905-68767.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051906-37281.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051902-43240.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051906-10123.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051906-66982.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051906-94130.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051906-96763.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051906-37281.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051907-53628.png)
对称轴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051907-30268.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051907-71589.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051907-32245.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051907-87441.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051908-43991.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051903-91069.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051904-77337.png)
由上得出当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051903-91069.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051904-58748.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051904-77337.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051902-43240.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051904-96169.png)
点评:主要是考查了导数在研究函数中的运用,属于中档题,对于单调性的增减,等价于导数恒大于等于零或者小于等于零,是解题的关键。
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051850-64009.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051850-10224.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051850-19832.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051850-61484.png)
(2)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051850-29813.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051850-25533.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051850-25982.png)
(3)设函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051850-22353.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051851-70966.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051851-93614.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051851-26007.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051851-21612.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051851-44607.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051836-52519.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051837-82229.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051837-14932.png)
(2)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051837-14932.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051837-26211.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051837-23179.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051820-71698.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051820-78597.png)
(2)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051820-34092.png)
(3)若当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051820-29539.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051821-69605.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051811-52475.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051812-75300.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051812-75300.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051812-34789.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051812-72033.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051812-28591.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051812-37822.png)
(3)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051813-21971.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051812-28591.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051813-14032.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051813-66071.png)
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