题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025407-13221.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025407-37893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025407-92643.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025408-25450.png)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025408-15605.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025408-53909.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025408-94359.png)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025408-23486.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025409-24234.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025408-53909.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025409-65714.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025408-53909.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025409-28529.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025409-49892.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025409-13305.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025410-10666.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025408-53909.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025408-53909.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025410-85377.png)
解析
试题分析:(1)利用切点处的导函数值是切线的斜率,应用直线方程的点斜式即得;
(2)求导数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025410-44771.png)
根据
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025410-45294.png)
本题易错,分类讨论不全或重复.
试题解析:(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025407-37893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025411-74201.png)
此时
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025411-22420.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025411-44929.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025411-25829.png)
所以切线方程为:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025411-97360.png)
整理得:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025408-94359.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025412-48799.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025412-78492.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025408-23486.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025412-53564.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025412-86317.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025408-53909.png)
在
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025409-65714.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025408-53909.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025413-59224.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025413-81145.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025413-35666.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025409-28529.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025413-23911.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025409-49892.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025408-53909.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025409-49892.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025409-13305.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025413-64776.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025414-38887.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025408-53909.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025408-53909.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025414-51805.png)
综上所述:当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025408-23486.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025408-53909.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025409-24234.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025408-53909.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025414-57420.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025409-13305.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025408-53909.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025414-54338.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025408-53909.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025410-85377.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025409-28529.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025408-53909.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025409-49892.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025357-25806.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025357-57154.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025357-68932.png)
①
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025358-13408.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025358-35348.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025358-78507.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025358-88800.png)
其中正确结论的序号是( )
A.①③ | B.①④ | C.②③ | D.②④ |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025338-76299.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025339-43248.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025339-92934.png)
(1)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025339-25109.png)
(2)若对任意
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025339-78980.png)
(3)已知
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025339-60013.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025340-45416.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025340-22662.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025327-22482.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025327-46580.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025328-47462.png)
(2)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025328-32308.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025322-26468.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025322-92211.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025322-15772.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025322-26468.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025322-92211.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025323-57957.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025322-26468.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025322-92211.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025314-22788.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025315-65654.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025315-20069.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025315-53666.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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