题目
题型:0103 期中题难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015110912-24646.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015110913-35718.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015110913-67333.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015110913-29350.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015110913-48786.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015110914-14129.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015110914-93559.gif)
(Ⅰ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015110915-62358.gif)
(Ⅱ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015110915-28343.gif)
(Ⅲ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015110915-36649.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015110915-82401.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015110916-10860.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015110916-24316.gif)
答案
解:(Ⅰ);
(Ⅱ),用数学归纳法证明即可;
(Ⅲ),
∴
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015110841-52559.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015110841-31090.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015110841-91043.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015110842-13698.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015110842-35922.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015110842-78073.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015110842-25328.gif)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015110843-60249.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015110843-49237.gif)
(2)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015110843-29415.gif)
(3)若
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015110843-42939.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015110844-76169.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015110830-22649.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015110830-95277.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015110830-20991.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015110758-74654.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015110758-95233.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015110759-63228.gif)
(1)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015110759-67821.gif)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015110759-11085.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015110759-50794.gif)
(3)设
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015110759-46007.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015110800-65450.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015110800-83809.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015110800-65112.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015110800-33362.gif)
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