题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194920-49526.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194920-86577.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194921-33431.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194921-55584.png)
(2)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194921-41599.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194921-73709.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194922-75426.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194922-98374.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194922-18305.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194922-78912.png)
又因为
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194922-46709.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194923-79830.png)
(2)解:由(1)知,
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194923-29239.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194923-28402.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194923-47848.png)
故
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194924-67684.png)
解析
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194804-26540.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194804-60452.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194804-96100.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194509-28727.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194510-86205.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194510-63320.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194509-28727.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194510-67242.png)
(Ⅱ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194509-28727.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194510-80077.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194511-43554.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194318-46917.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194318-80717.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194318-91656.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194319-25573.png)
(Ⅰ)求证数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194319-34437.png)
(Ⅱ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194319-73168.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194319-50837.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194320-81251.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194230-36337.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194230-68156.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194231-27231.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194231-39308.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194231-28159.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194011-37518.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194012-64103.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010194012-87016.png)
A.6 | B.8 | C.10 | D.16 |
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