题目
题型:不详难度:来源:
等差数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015901-98536.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015901-96304.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015902-29002.png)
(Ⅰ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015901-98536.png)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015902-98944.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015902-21817.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015902-60305.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015903-92096.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015903-57536.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015903-92096.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015903-90138.png)
解析
试题分析:解:(Ⅰ)设数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015901-98536.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015903-37250.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015904-42983.png)
解得
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015904-95523.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015903-57536.png)
(Ⅱ)因为
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015904-27941.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015904-37306.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015905-13937.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015905-13573.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015903-90138.png)
点评:属于基础题型,要对于等差数列的知识熟练的根据基本量求解,并能裂项发求和,考查运算求解能力,考查函数与方程思想等.
核心考点
举一反三
已知等差数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015829-74086.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015829-25076.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015829-58345.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015829-58565.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015830-61670.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015830-52922.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015830-39955.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015830-50623.png)
(1)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015829-74086.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015830-52922.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015831-43557.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015831-91942.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015831-61117.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015650-72569.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015650-98288.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015650-71724.png)
A.196 | B.132 | C.88 | D.77 |
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015610-50224.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015610-43482.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015611-37714.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015610-50224.png)
A.297 | B.144 | C.99 | D.66 |
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015533-92720.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015534-84927.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015534-73026.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015534-40221.png)
数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015521-66881.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015522-72945.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015522-23891.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015522-93523.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015522-95234.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015522-27212.png)
⑴求证:数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015523-38223.png)
⑵若数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015523-64044.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015523-24572.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015523-64044.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015522-72945.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015523-57708.png)
⑶设
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015524-87544.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010015524-35598.png)
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