题目
题型:不详难度:来源:
己知数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073856-29323.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073856-58553.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073856-93677.png)
(1)求证:数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073857-34339.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073857-83896.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073857-58229.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073908-93814.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073908-81553.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073909-72158.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073909-61684.png)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073856-93677.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073909-89883.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073909-12358.png)
从而证明出
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073857-34339.png)
(2)在(1)的基础上,可求出
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073909-35505.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073910-52868.png)
(1)由
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073856-93677.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073909-89883.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073910-94175.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073909-12358.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073857-34339.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073909-12358.png)
(2)由(1)知
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073910-61329.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073910-25553.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073857-83896.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073911-78790.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073911-29814.png)
故
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073910-52868.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073911-66707.png)
故
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073911-92465.png)
相减得
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073912-43044.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073909-61684.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073643-89471.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073649-14283.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073649-80948.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073649-73425.png)
A.1 | B.2 | C.3 | D.4 |
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073633-59313.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073607-99821.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073607-90497.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073608-67942.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073608-32074.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073520-93899.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073520-36082.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073521-85990.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073521-64062.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073521-74114.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073521-24191.png)
(1)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073520-93899.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073521-64062.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073522-37948.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073522-12982.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073522-51756.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073522-38537.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073512-69565.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073513-84182.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010073513-73523.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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