题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054224-91037.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054224-27915.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054225-73818.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054225-16475.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054225-93326.gif)
(Ⅰ)证明数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054225-91688.gif)
(Ⅱ)令
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054225-64983.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054226-83430.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054226-20077.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054226-63497.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054226-56710.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054227-73774.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054227-43315.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054227-46607.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054227-53182.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054227-97971.gif)
两式相减,得
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054228-69771.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054228-95039.gif)
从而
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054228-18013.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054228-65382.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054229-92531.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054229-28628.gif)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054224-27915.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054229-32813.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054229-42381.gif)
故总有
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054229-29112.gif)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054230-45959.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054230-67646.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054230-78494.gif)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054225-91688.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054230-22090.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054230-60984.gif)
(Ⅱ)由(Ⅰ)知
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054231-20416.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054231-13127.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054231-78900.gif)
从而
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054231-84234.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054232-19602.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054232-72226.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054232-75923.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054232-74586.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054232-55656.gif)
由上,
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054233-86000.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054233-38084.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054233-12367.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054233-59774.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054228-65382.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054233-59774.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054233-71399.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054234-48975.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054234-12957.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054233-59774.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054234-69370.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054234-18746.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054235-97996.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054235-77384.gif)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054235-74129.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054235-90528.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054233-59774.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054235-96012.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054227-43315.gif)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054218-25231.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054218-91754.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054218-68952.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054218-31982.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054207-77795.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054207-58612.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054208-65426.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054208-32728.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054208-13686.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054152-56254.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054152-45195.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054137-61217.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054137-63846.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054138-28588.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054138-83341.gif)
(Ⅰ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054137-61217.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054138-92274.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054138-49532.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054139-11672.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054105-62833.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054105-23481.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054105-53635.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054106-41350.gif)
(1)试用
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054106-20377.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054106-33560.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054106-37241.gif)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054106-87213.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054107-70816.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054107-48727.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013054105-62833.gif)
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