题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012074000-93600.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012074000-31004.png)
(1)证明:数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012074000-52025.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012074000-93600.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012074001-34048.png)
(3)设
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012074001-15414.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012074001-24865.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012074002-88432.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012074002-48610.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012074002-29018.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012074002-41674.png)
解析
试题分析:(1)取倒数得:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012074002-57526.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012074003-55578.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012074003-57205.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012074000-52025.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012074003-43138.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012074003-89631.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012074002-29018.png)
(3) 由题意知:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012074003-27474.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012074004-88075.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012074004-72439.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012074004-87753.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012074002-41674.png)
点评:错位相减法数列求和是学生不易掌握的地方
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012073946-99745.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012073947-12151.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012073947-32439.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012073947-77350.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012073947-70446.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012073947-93204.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012073948-64140.png)
A.![]() | B.5 | C.![]() | D.-5 |
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012073937-25615.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012073937-70712.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012073938-72022.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012073909-49450.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012073909-48094.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012073909-46850.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012073909-57996.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012073910-83364.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012073910-46593.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012073858-70386.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012073858-95996.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012073858-74034.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012073859-41129.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012073859-77321.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012073859-54017.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012073859-38190.png)
(I)分别求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012073858-70386.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012073859-54017.png)
(II)若对任意的
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012073900-10445.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012073900-68693.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012073900-21643.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012073847-83616.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012073847-60429.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012073847-63384.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012073847-33661.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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