题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031348-20277.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031348-10448.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031348-74667.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031348-94598.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031348-20277.png)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031349-19497.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031349-76577.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031349-43140.png)
(3)设(2)中的数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031349-14946.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031349-85107.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031350-47636.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031350-47174.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031350-84433.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031350-28287.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031351-91272.png)
解析
试题分析:(1)先将
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031348-94598.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031349-76577.png)
试题解析: (1)证明:∵
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031348-10448.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031350-84433.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031351-26057.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031351-39727.png)
由于当
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031351-91272.png)
∴数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031348-20277.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031357-88189.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031348-10448.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031357-39688.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031403-60038.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031348-10448.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031403-73723.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031403-44098.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031348-10448.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031404-53437.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031404-69444.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031404-95568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031404-52480.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031405-74778.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031405-29426.png)
(3)由(2)知:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031403-44098.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031405-73307.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031405-12279.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031406-92167.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031406-31585.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031406-22557.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031350-47174.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031324-21701.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031325-19558.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031325-11299.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031325-78462.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031325-40095.png)
(Ⅰ)证明:数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031325-78462.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031325-78462.png)
(Ⅱ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031324-21701.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031324-21701.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031308-51289.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031308-87271.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031309-54501.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031309-21090.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031309-14723.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031218-41504.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031218-14002.png)
(I)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031218-41504.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031219-24787.png)
(II)若数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031219-12362.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031219-53696.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031205-36884.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031205-87134.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031205-36884.png)
A.128 | B.80 | C.64 | D.56 |
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031156-87864.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031156-27708.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031156-96268.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031156-14500.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031157-12569.png)
(Ⅰ)求证:数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031156-87864.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031157-57818.png)
(Ⅱ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031157-75747.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031157-10799.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031157-34176.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031158-80656.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031158-31984.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031158-23087.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012031158-25021.png)
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