题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080749-36332.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080750-48309.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080750-93653.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080750-12840.png)
(Ⅰ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080749-36332.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080750-48309.png)
(Ⅱ)记
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080750-20232.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080750-45745.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080751-73607.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080750-45745.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080751-32752.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080751-84267.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080751-72059.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080752-58098.png)
解析
试题分析:(1)解:设等差数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080752-16979.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080752-65899.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080753-71756.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080753-63199.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080753-35524.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080753-20061.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080754-73993.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080751-32752.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080751-84267.png)
…………………………………………………………………………….7分
(2)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080754-49260.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080754-73092.png)
相减,得
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080754-33688.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080755-83996.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080752-58098.png)
………………………………………………………………….14分
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080755-83387.png)
点评:解决此题的关键是掌握等差数列与等比数列的概念、通项公式、前
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080755-83387.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080743-73521.png)
A.22 | B.18 | C.20 | D.13 |
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080735-13737.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080735-20218.png)
(Ⅰ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080735-13737.png)
(Ⅱ)调整数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080735-13737.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080736-82539.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080736-58566.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080736-58566.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080736-17916.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080723-42801.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080724-70904.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080724-49980.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080724-65077.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080724-62580.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080725-44437.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080725-34027.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080725-74507.png)
(Ⅰ)求证:数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080723-42801.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080723-42801.png)
(Ⅱ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080725-93593.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080725-11451.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080724-65077.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080726-52363.png)
(Ⅲ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080726-18578.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080726-39888.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080725-74507.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080726-39888.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080725-74507.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080726-51257.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080719-87887.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080719-72395.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080719-91088.png)
已知
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080701-27773.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080701-40474.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080702-83492.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080702-65914.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080701-27773.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080702-73212.png)
(I)求通项
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080702-93030.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080702-65914.png)
(II)设
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080703-94161.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080703-61075.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080702-73212.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080703-73761.png)
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