题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151024-88910.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151025-58009.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151025-51564.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151025-57076.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151025-92866.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151026-98651.png)
(1)求证:数列
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151024-88910.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151026-23223.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151026-41055.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151026-35722.png)
(3)在(2)的条件下,若
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151027-17981.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151027-85237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151025-58009.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151027-63229.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151027-10046.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151028-97484.png)
解析
试题分析:(1)利用关系
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151028-80316.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151028-48677.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151028-43744.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151026-41055.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151028-31691.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151027-85237.png)
试题解析:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151029-18944.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151029-21229.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151029-94517.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151029-16931.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151030-58036.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151030-41339.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151030-50699.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151030-62446.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151031-35468.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151031-13155.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151031-23931.png)
∴数列
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151024-88910.png)
(2)由
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151026-41055.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151031-19422.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151031-67190.png)
∴数列
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151028-31691.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151032-12841.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151027-10046.png)
(3)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151032-67432.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151032-18755.png)
两边同乘以
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151032-59918.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151033-60299.png)
①②得
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151033-17407.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151033-73142.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009151033-91354.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009150059-76947.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009150059-69309.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009150100-87083.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009150100-37921.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009150100-44715.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009150100-30848.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009150100-49546.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
A.3 | B.4 | C.5 | D.6 |
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009145652-22686.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009145653-71011.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009145653-73029.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009145653-81575.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009145653-15337.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009145654-21027.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009145653-81575.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009145653-73029.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009145033-17042.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009145033-54371.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009145033-30321.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009145033-34101.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009145009-46579.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009145009-71550.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009145010-82387.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009145010-67870.png)
(Ⅰ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009145009-46579.png)
(Ⅱ)记
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009145010-76665.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009145011-87524.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009145009-71550.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009145011-58365.png)
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