题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071634-44866.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071635-34181.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071635-36404.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071635-88038.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071635-49238.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071636-60405.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071634-44866.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071636-67985.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071636-58264.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071636-19960.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071635-34181.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071636-95894.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071637-71339.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071637-26751.png)
解析
试题分析:(1)要证明数列是等比数列,只需证明数列中的项后一项除以前一项是常数;(2)先利用已知条件把
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071637-14581.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071636-95894.png)
试题解析:(1)∵
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071637-82518.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071638-78626.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071638-86344.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071638-43623.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071637-82518.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071637-82518.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071638-43910.png)
两式相减得:
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071638-43910.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071638-43910.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071638-40770.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071638-43623.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071639-50789.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071639-34816.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071639-24992.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071639-51842.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071640-17795.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071640-88573.png)
①-②得:
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071640-76735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071640-69749.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071637-26751.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071618-13225.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071618-14707.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071619-40840.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071619-51348.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071619-47413.png)
A.![]() | B.![]() | C.![]() ![]() | D.![]() ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071613-75181.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071613-16458.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071613-67055.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071614-77647.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071605-47392.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071605-98778.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071605-89557.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071605-38269.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071606-60934.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071606-77468.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071606-16208.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071551-81697.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071551-23120.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071552-63557.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071552-62856.png)
(Ⅰ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071551-23120.png)
(Ⅱ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071552-65240.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071552-63557.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071537-51018.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071537-48987.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071537-56633.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071537-60271.png)
(Ⅰ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071537-56633.png)
(Ⅱ)将数列
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071537-56633.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014071537-56633.png)
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