题目
题型:不详难度:来源:
已知数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014848-20781.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014848-11023.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014848-87851.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014849-39668.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014849-10991.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014849-25320.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014849-91300.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014850-15467.gif)
(1)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014848-20781.gif)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014850-12037.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014850-15467.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014850-61509.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014850-15467.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014850-65894.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014848-20781.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014848-11023.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014850-35694.gif)
(2)存在
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014851-39865.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014850-15467.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014851-71367.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014851-57313.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014849-91300.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014850-15467.gif)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014851-54140.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014849-91300.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014850-15467.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014852-67027.gif)
∴数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014848-20781.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014848-11023.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014850-35694.gif)
(2)∵
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014850-35694.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014852-21606.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014850-65894.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014852-35886.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014852-41607.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014853-58741.gif)
(ⅰ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014849-39668.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014853-63395.gif)
当且仅当
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014853-47419.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014853-14692.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014853-62204.gif)
(ⅱ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014849-39668.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014854-55075.gif)
当且仅当
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014854-38923.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014854-47294.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014854-34009.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014855-88816.gif)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014855-42223.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014850-61509.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014851-39865.gif)
综上所述,存在
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014851-39865.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014850-15467.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014851-71367.gif)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014843-46537.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014843-89524.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014843-89524.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014844-56262.gif)
已知数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014832-58693.gif)
(I)设
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014832-52547.gif)
(II)当
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014833-77075.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014805-52677.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014806-54369.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014806-71157.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014806-70288.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014806-75675.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014807-77837.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014807-76515.gif)
(Ⅰ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014806-71157.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014806-75675.gif)
(Ⅱ)是否存在常数
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014807-60580.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014807-61403.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014808-82797.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014808-36686.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014808-53165.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014808-11082.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014754-26503.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014755-47569.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014755-92531.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014755-91077.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014755-25687.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014756-51345.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014756-91519.gif)
(1)请将空格部分(两个)填上适当的内容;
(2)用“For”循环语句写出对应的算法;
(3)若输出S=16,则输入的
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014756-43938.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013014756-47360.jpg)
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