题目
题型:不详难度:来源:
已知数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020446-33705.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020446-14568.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020447-68463.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020447-83132.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020447-96098.gif)
(Ⅰ)求证:{
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020447-15303.gif)
(Ⅱ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020446-33705.gif)
(Ⅲ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020447-39373.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020448-61821.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020447-83132.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020448-35190.gif)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020448-95267.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020447-15303.gif)
(Ⅱ) 由(Ⅰ)知,
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020448-70826.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020448-12875.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020449-41687.gif)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020449-80923.gif)
(Ⅲ)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020449-11525.gif)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020449-47314.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020450-34813.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020450-53026.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020450-49068.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020450-74991.gif)
解析
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020439-47312.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020439-24740.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020439-58840.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020439-47312.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020439-19154.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020440-77395.gif)
设集合W由满足下列两个条件的数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020418-58900.gif)
①
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020418-33897.gif)
②存在实数M,使
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020418-56607.gif)
(I)在只有5项的有限数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020419-55138.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020419-16452.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020419-24920.gif)
(II)设
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020419-68002.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020419-38886.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020420-80976.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020420-52673.gif)
(III)设数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020420-36379.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020420-67004.gif)
求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020421-43171.gif)
已知数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020402-52479.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020402-21247.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020402-58042.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020403-17721.gif)
数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020403-19943.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020403-57508.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020403-43028.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020404-22089.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020404-28059.gif)
(Ⅰ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020402-52479.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020403-19943.gif)
(Ⅱ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020404-47061.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020404-63835.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020402-21247.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020405-68222.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020405-25248.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020403-43028.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020405-54324.gif)
(Ⅲ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020405-35879.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020405-25146.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020406-84652.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020406-92013.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020354-50916.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020355-58095.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020355-28797.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020355-92960.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020354-50916.gif)
A.![]() | B.1 | C.2 | D.3 |
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020336-70222.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020337-14537.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013020337-42756.gif)
A.2 | B.![]() | C.![]() ![]() | D.![]() |
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