题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041130-68102.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041130-16020.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041130-87623.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041130-38948.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041131-59726.png)
(Ⅰ)求证数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041131-27475.png)
(Ⅱ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041131-83011.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041131-24197.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041130-16020.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041132-90309.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041132-69753.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041132-13768.png)
解析
试题分析:(Ⅰ)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041132-39718.png)
由题意可得:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041132-39044.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041133-29625.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041133-22287.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041132-69753.png)
(Ⅱ)数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041131-27475.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041133-37715.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041133-26003.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041133-50113.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041134-39816.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041134-80428.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041144-92991.png)
点评:常见的裂项公式:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041144-15087.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041145-95936.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041145-57517.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041145-87155.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041145-29390.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041146-74042.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041104-43194.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041104-29188.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041104-71464.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041054-19327.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041054-45392.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041054-62975.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041055-26066.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041055-14935.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041055-32094.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041055-25626.png)
A.![]() | B.![]() | C.9 | D.1 |
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041043-79863.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041043-62757.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041043-52902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041044-71908.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041044-15776.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041044-75187.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041043-79863.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041009-73034.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041009-48071.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041010-89620.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041010-50984.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012041010-55337.png)
![]() | ![]() | ![]() | ![]() | ![]() |
![]() | ![]() | ![]() | ![]() | ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012040945-37949.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012040945-20989.png)
(1)设
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012040945-35244.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012040945-40885.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012040945-41035.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012040946-74093.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012040946-28037.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012040946-54941.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012040946-28200.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012040946-95032.png)
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