题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090758-83770.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090758-35376.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090758-47880.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090758-28377.png)
(Ⅰ)证明
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090758-83770.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090758-83770.png)
(Ⅱ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090759-84176.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090759-82859.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090758-35376.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090759-68388.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090759-92715.png)
解析
试题分析:(Ⅰ)由于数列的和与通项在一个等式中,通过递推一个式子即可得到关于通项的等式,所以从而发现是一个等比数列,但一定要验证第一项的结果是否符合.
(Ⅱ)数列
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090758-83770.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090800-39156.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090759-82859.png)
试题解析:(Ⅰ)由
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090758-28377.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090800-42120.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090800-68542.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090800-51387.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090801-23724.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090758-83770.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090801-95417.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090801-20837.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090801-96936.png)
(Ⅱ)由(Ⅰ)可知
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090801-96936.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090802-64369.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090802-73340.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090802-55927.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090802-31775.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090803-88144.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090803-85387.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090659-88647.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090659-33181.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090700-52144.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090700-63449.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090700-41784.png)
(Ⅰ)求证:数列
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090700-12302.png)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090701-88412.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090701-62133.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090701-74193.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090701-67570.png)
A.91 | B.![]() | C.98 | D.49 |
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090615-38832.png)
(Ⅰ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090615-38832.png)
(Ⅱ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090616-25178.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090557-31679.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090557-21218.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090557-39807.png)
(I)求数列{
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090557-31679.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090557-39807.png)
(Ⅱ)设数列{
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090557-56054.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090558-72970.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090558-58282.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090521-55247.png)
(1)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090522-13107.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090522-32508.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009090522-71526.png)
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