题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012629-29888.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012629-99799.png)
(Ⅰ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012629-29888.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012629-81955.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012629-44640.png)
(Ⅱ)若数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012629-25357.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012630-82771.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012629-25357.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012630-28095.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012630-82534.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012630-83367.png)
解析
试题分析:(Ⅰ)先设出等差数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012629-29888.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012629-99799.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012631-92640.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012629-81955.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012631-87816.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012630-82771.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012629-81955.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012631-48718.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012636-41599.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012637-86714.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012637-45125.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012637-91813.png)
试题解析:(Ⅰ)设等差数列的首项和公差分别为
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012637-75032.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012638-34629.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012638-53076.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012638-96645.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012638-19388.png)
(Ⅱ)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012630-82771.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012638-66430.png)
①②得
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012637-86714.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012637-45125.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012639-33043.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012630-83367.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012629-81955.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012618-68854.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012619-98335.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012619-73311.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012619-38421.png)
(1)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012618-68854.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012619-76035.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012619-49783.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012620-93664.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012620-41403.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012605-43638.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012605-21192.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012606-87532.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012606-73718.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012558-94475.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012558-99665.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012558-20450.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012558-15861.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012559-83989.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012559-48723.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012537-49605.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012537-70527.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012537-75192.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012538-24619.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012537-49605.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012538-78401.png)
(2)记数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012538-38851.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012538-70563.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012538-49069.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012538-38518.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012539-29400.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012539-94427.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012452-46791.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012452-80643.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012452-26207.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012452-58316.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012452-46791.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012012453-97843.png)
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