题目
题型:解答题难度:简单来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004730-62989.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004730-44641.png)
(1)若曲线
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004731-46204.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004731-12828.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004731-51364.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004731-15751.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004731-49175.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004731-55806.png)
(2)在(1)的条件下,试求函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004732-95517.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004732-58186.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004732-59681.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004732-48418.png)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004733-39767.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004733-82378.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004733-42334.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004733-96066.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004734-74332.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004733-42334.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004734-67730.png)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004734-47756.png)
(2)在(1)的基础上,
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004734-86735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004734-69935.png)
解:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004730-62989.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004735-84382.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004735-92884.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004735-64446.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004731-49175.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004735-15019.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004731-51364.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004731-15751.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004735-59099.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004736-21163.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004735-64446.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004731-46204.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004731-12828.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004736-53905.png)
由①②得:
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004732-48418.png)
(2)由(1)知:
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004736-31797.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004735-15019.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004736-88557.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004736-47188.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004737-84787.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004737-33199.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004737-83392.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004733-39767.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004733-82378.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004737-87615.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004737-74563.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004738-89143.png)
![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
![]() | + | 0 | -[ | 0 | + |
![]() | ![]() | 极大值 | | 极小值 | |
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004739-62429.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004739-65413.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004740-20810.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004734-74332.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004737-87615.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004737-74563.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004738-89143.png)
![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
![]() | - | 0 | + | 0 | - |
![]() | ![]() | 极小值 | | 极大值 | |
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004740-23498.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004741-93079.png)
综上可知:当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004733-39767.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004733-82378.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004733-42334.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004733-96066.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004734-74332.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004733-42334.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004734-67730.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004718-98452.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004718-69954.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004718-16991.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004718-71068.png)
(1)若数列
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004719-13469.png)
(2)求
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004719-63919.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004715-94682.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004715-24796.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004716-16133.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004716-96959.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004708-36177.png)
A.-1 | B.0 | C.1 | D.2 |
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004707-55072.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004707-49895.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004704-80553.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004705-18485.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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