题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106090048-42120.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106090049-90269.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106090049-58703.png)
(1) 求
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106090048-42120.png)
(2) 设bn=
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106090049-88253.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106090050-65907.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106090050-29414.png)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106090049-90269.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106090049-58703.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106090050-90732.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106090050-27463.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106090049-58703.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106090050-29414.png)
(2) 证明: 由(1)得bn=
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106090051-95521.png)
Sn=
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106090051-23150.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106090043-14360.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106090044-14386.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106090039-18454.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106090039-52847.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106090040-85386.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106090040-38379.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106090022-22342.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106090023-79195.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106090023-20141.png)
(1)若x2-1比1远离0,求x的取值范围;
(2)对任意两个不相等的正数a、b,证明:a3+b3比a2b+ab2远离2ab
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106090020-72210.png)
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