题目
题型:单选题难度:简单来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044719-17272.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044719-25303.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044719-40746.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044720-82130.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044720-41330.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044720-74769.png)
A.![]() | B.![]() | C.![]() | D.![]() |
答案
解析
试题分析:因为对任意正整数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044720-82130.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044720-41330.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044719-17272.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044721-28095.png)
点评:此题是易错题,错误的主要原因是:忘记限制条件
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044721-94202.png)
核心考点
举一反三
已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044704-14372.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044704-62700.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044705-20696.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044705-99124.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044705-85932.png)
(1)求常数a,b,c的值;
(2)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044705-95830.png)
(3)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044705-12092.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044706-28793.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044702-99464.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044656-36164.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044656-91437.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044656-91437.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044656-42218.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044656-42218.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044651-23915.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044651-47727.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044652-97860.png)
已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044640-11682.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044640-62294.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044640-67605.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044640-47149.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044640-94649.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044641-70644.png)
(2)若各项为正的数列
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044641-99453.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044641-11839.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044641-20518.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044641-29822.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044642-29409.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044642-64182.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044641-11839.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044642-12175.png)
(3)在(2)的条件下,证明:
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044642-40892.png)
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