题目
题型:不详难度:来源:
已知数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065351-51176.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065351-88080.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065352-65724.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065352-59717.gif)
(Ⅰ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065351-51176.gif)
(Ⅱ)若数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065352-97774.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065353-92628.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065352-97774.gif)
(Ⅲ)令
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065353-59931.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065352-59717.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065353-60918.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065353-80123.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065353-83538.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065354-33351.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065354-26972.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065354-39691.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065354-51223.gif)
∴数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065351-51176.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065354-74456.gif)
(Ⅱ)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065355-12555.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065353-92628.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065355-24088.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065356-89267.gif)
②-①得:
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065356-12100.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065356-12887.gif)
故
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065356-77587.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065352-59717.gif)
(Ⅲ)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065353-59931.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065356-74217.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065357-21602.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065357-96145.gif)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065357-63366.gif)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065357-37400.gif)
①-②得:
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065358-71738.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065358-66463.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065358-34174.gif)
∴数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065353-60918.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065408-67269.gif)
解析
核心考点
试题【(本小题满分12分)(注意:在试题卷上作答无效)已知数列的前n项和为,且().(Ⅰ)求数列的通项公式;(Ⅱ)若数列满足:,求数列的通项公式;(Ⅲ)令(),求数列】;主要考察你对等差数列等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065325-97698.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065325-25568.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065325-66095.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065326-33506.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065326-97698.gif)
(Ⅰ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065325-97698.gif)
(Ⅱ)设数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065326-30868.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065325-66095.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065326-69213.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065326-94335.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065326-80431.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065327-55128.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065327-55128.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065327-93691.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065325-66095.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065327-35403.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065327-31528.gif)
(Ⅲ) 已知正数数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065328-92169.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065328-66862.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065328-92169.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065255-15602.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065255-79300.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065147-27634.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065147-79494.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065147-89106.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065147-26730.png)
前
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065148-36829.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065118-66891.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065118-98531.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065118-66891.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065118-98531.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065118-43487.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065118-60038.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065119-84024.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065130-41022.gif)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065130-78854.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065130-67169.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065118-66891.gif)
(2)求
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065118-98531.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065111-91774.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065112-68691.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065112-44870.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065112-90898.gif)
(1)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065112-71585.gif)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065113-30255.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011065113-94603.gif)
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