题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120107-92682.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120107-36871.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120107-16758.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120108-87216.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120108-56638.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120108-84494.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120108-94368.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120108-66561.png)
(3)对于任意的正整数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120109-62466.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120109-57783.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120107-16758.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120109-13287.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120107-16758.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120109-50757.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120110-26224.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120110-99525.png)
解析
解 (1)令
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120110-34188.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120110-68646.png)
![]() | 0 | (![]() | ![]() | (![]() | 1 |
![]() | | __ | 0 | + | |
![]() | ![]() | ↘ | ![]() | ↗ | ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120107-16758.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120109-13287.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120107-16758.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120109-50757.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120110-26224.png)
(2)∵
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120113-69136.png)
∴当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120113-38071.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120113-73860.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120113-34428.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120114-70378.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120107-92682.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120114-36581.png)
由题意知:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120114-94759.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120114-63061.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120110-99525.png)
(3)构造函数:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120114-63453.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120115-11518.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120107-92682.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120115-50277.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120115-20092.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120114-70378.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120115-86013.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120107-92682.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120116-44645.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120116-76653.png)
故对任意正整数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120109-62466.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120116-48480.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120116-92429.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120051-96003.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120051-54591.png)
(Ⅰ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120052-25580.png)
(Ⅱ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120052-18164.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120040-22829.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120041-98044.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120041-43853.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120041-83680.png)
(2)若在区间
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120041-69643.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120041-51479.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120042-38578.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120041-98044.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120029-87893.png)
(1)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120029-24720.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120029-31120.png)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120030-52088.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120030-53685.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120030-56106.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120030-48649.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120030-48649.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120031-30177.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120031-13490.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120031-82237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120018-91643.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120018-97418.png)
A.![]() | B.0 | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120010-20672.png)
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