题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033314-98212.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033315-11988.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033315-41561.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033315-63268.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033315-16566.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033315-68711.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033316-59645.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033314-98212.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033314-98212.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033316-14157.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033316-62256.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033316-94889.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033316-83416.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033315-11988.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033316-94889.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033316-59645.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033317-35670.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033316-14157.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033317-25743.png)
解析
试题分析:(1)由
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033317-87589.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033317-31537.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033318-57366.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033318-36791.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033318-98048.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033318-15523.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033319-37917.png)
(2)数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033319-43794.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033319-14833.png)
从而
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033319-32957.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033320-61831.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033320-70720.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033320-39048.png)
=
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033320-58846.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033321-59405.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033317-25743.png)
点评:我们要熟练掌握求数列通项公式的方法。公式法是求数列通项公式的基本方法之一,常用的公式有:等差数列的通项公式、等比数列的通项公式及公式
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033321-17365.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033321-17365.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033321-24349.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033146-32940.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033154-29548.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033155-82398.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033155-49217.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033155-79603.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033155-99784.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033155-99784.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033156-22200.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033154-29548.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033156-80666.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033156-45614.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033156-90453.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033157-84406.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033157-52811.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033157-13933.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033157-41447.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033157-64931.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033158-54582.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033158-92907.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033158-92907.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033158-89377.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033158-12230.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033159-53557.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033159-63050.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033159-74937.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033158-54582.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033159-37129.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033200-63998.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033117-49695.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033118-59931.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033118-37719.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033118-85532.png)
(1)证明数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033118-45016.png)
(2)设数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033117-49695.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033119-95458.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033119-72236.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033119-71125.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033045-55499.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033045-86473.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033045-17925.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033045-52962.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033005-67727.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033005-39931.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033006-27706.png)
(1) 求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033005-67727.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033006-81172.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033006-37148.png)
(3)令
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033006-11005.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033007-79518.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033007-23671.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010033007-13232.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010032940-92494.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010032940-20985.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010032940-47663.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010032941-76560.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010032941-49917.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010032941-42341.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010032942-36370.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010032942-17931.png)
(1) 求
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010032941-42341.png)
(2) 求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010032940-92494.png)
(3) 若数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010032942-45827.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010032941-42341.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010032942-67626.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010032942-62236.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010032943-83386.png)
.求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010032943-52931.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010032943-83386.png)
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