题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011061127-19875.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011061127-88545.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011061128-16842.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011061127-19875.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011061128-54773.png)
A.![]() | B.![]() | C.![]() | D.![]() |
答案
解析
解答:解:∵an+2an=2an+1,①
∴an+1?an-1=2an(n≥2)②
①?②得:an+2?an-1=4(n≥2),
∴a1?a4=4,
a2?a5=4,
a3?a6=4,
…
∴a1?a2…a6=43=26,a7?a8?…a12=26,…
∴a1?a2…a2011=(26)335?a1=(26)335?1=22010.
故选B.
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011061013-50032.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011061013-21044.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011061013-45318.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011061019-49979.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011061020-84951.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011061020-30251.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011061013-21044.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011061013-45318.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011061020-15142.png)
A.106 | B.107 | C.108 | D.109 |
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011060959-26518.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011060959-40352.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011060926-74130.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011060927-66808.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011060927-15349.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011060927-17573.gif)
已知数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011060907-23163.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011060908-78809.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011060908-70741.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011060908-80916.gif)
(Ⅰ) 求证:数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011060907-23163.gif)
(Ⅱ) 记
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011060908-21298.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011060909-39116.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011060908-78809.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011060909-96297.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011060908-78809.gif)
已知等比数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011060651-12567.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011060651-34246.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011060651-42865.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011060651-69914.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011060652-13630.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011060652-89001.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011060652-60332.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011060651-34246.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011060652-54105.gif)
(Ⅰ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011060652-13630.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011060651-69914.gif)
(Ⅲ)是否存在正整数
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011060652-22231.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011060653-60917.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011060653-79487.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011060652-22231.gif)
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