题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120722-87982.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120722-53023.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120723-48453.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120723-94984.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120723-24536.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120723-23344.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120724-33452.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120724-47063.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120723-23344.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120724-26450.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120724-69084.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120724-31194.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120725-26614.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120723-23344.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120725-90547.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120725-38396.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120725-42123.png)
解析
试题分析:(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120726-83956.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120726-95400.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120726-56088.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120726-26741.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120727-73560.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120727-80152.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120727-39483.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120727-92854.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120724-47063.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120725-26614.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120723-23344.png)
试题解析:(1) ∵
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120726-83956.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120727-81331.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120726-95400.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120728-81426.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120728-59790.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120728-46986.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120728-88611.png)
∴ 所求切线方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120729-36346.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120729-24824.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120727-73560.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120727-80152.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120727-39483.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120727-92854.png)
①当
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120724-47063.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120729-90027.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120729-24328.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120729-67847.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120730-38480.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120730-19313.png)
此时
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120723-23344.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120724-26450.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120724-69084.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120724-31194.png)
②当
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120725-26614.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120729-90027.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120730-82384.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120729-67847.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120730-51825.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120731-42765.png)
此时
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120723-23344.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120725-90547.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120725-38396.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120725-42123.png)
综上:当
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120724-47063.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120723-23344.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120724-26450.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120724-69084.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120724-31194.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120725-26614.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120723-23344.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120725-90547.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120725-38396.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120725-42123.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120710-68600.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120711-50907.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120648-97761.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120648-47681.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120648-17260.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120648-91597.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120649-14857.png)
(2)如果对于任意
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120649-20727.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120649-78439.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120649-91219.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120650-12085.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120650-63128.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120637-32930.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120637-15248.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120637-49448.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120638-54091.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120638-13609.png)
(2)如果对于任意
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120638-61837.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120638-30552.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120639-33817.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120626-55063.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120626-18277.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120626-77675.png)
为
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120626-98832.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017120626-51028.png)
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