题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235410-39233.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235410-55814.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235411-41539.png)
(1)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235410-39233.png)
(2)若数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235411-59892.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235411-85361.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235411-56215.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235412-84635.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235412-40487.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235412-46796.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235412-70469.png)
解析
试题分析:(1)将题中的条件利用
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235413-26173.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235413-10973.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235410-39233.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235411-59892.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235411-56215.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235412-84635.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235412-40487.png)
试题解析:(1)设数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235410-39233.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235413-10973.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235413-71500.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235411-41539.png)
得
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235413-10047.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235413-49451.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235414-77422.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235414-41755.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235414-59372.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235414-41755.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235412-46796.png)
(2)由
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235411-85361.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235414-14665.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235415-53034.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235415-86238.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235411-59892.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235415-12891.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235415-38013.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235416-25457.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235313-82391.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235313-62652.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235313-37878.png)
(1)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235313-82391.png)
(2)设数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235314-64389.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235314-57810.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235314-94225.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235314-55980.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235315-59731.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235315-19040.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235243-44748.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235243-66579.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235254-70000.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235254-36029.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235255-15594.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235255-67640.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235255-91414.png)
(1)若数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235243-44748.png)
(ⅰ)求数列的通项
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235255-21114.png)
(ⅱ)若数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235255-20849.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235255-18290.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235256-71258.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235256-12154.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235256-27218.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235255-91414.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235256-85514.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235256-71258.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235255-91414.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235257-47430.png)
(2)若对任意
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235257-65045.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235257-10524.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235257-11773.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235230-57476.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235230-48456.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235231-63305.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235231-46528.png)
(1)若数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235230-57476.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235231-95484.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235231-74606.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235232-16738.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235232-41771.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235232-46988.png)
求证:对任意正整数
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235230-48456.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235232-59337.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235153-86593.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235159-92519.png)
①当
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235200-80484.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235153-86593.png)
②当
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235200-14625.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235153-86593.png)
③当
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235200-62502.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235153-86593.png)
④当
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235200-29037.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235153-86593.png)
A.①② | B.②④ | C.③④ | D.②③ |
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235143-24841.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235143-15142.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235143-70770.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011235143-61975.png)
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