题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030341-73323.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030341-35907.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030341-34307.png)
(Ⅰ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030341-73323.png)
(Ⅱ)令
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030342-38621.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030342-93363.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030342-44946.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030342-35024.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030342-69065.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030343-91976.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030343-12765.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030343-85128.png)
解析
试题分析:(Ⅰ)利用
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030343-85759.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030344-34410.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030343-12765.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030344-20640.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030344-82741.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030344-23153.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030344-81885.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030343-85128.png)
试题解析:(Ⅰ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030345-37391.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030345-89214.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030345-44716.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030346-13378.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030346-89904.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030344-34410.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030341-73323.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030345-44716.png)
故
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030343-12765.png)
(Ⅱ)由(Ⅰ)得,
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030346-76292.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030346-97813.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030346-15195.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030347-65058.png)
两式相减得
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030347-37076.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030347-30971.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030347-84066.png)
又由(Ⅰ)得,
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030347-96670.png)
不等式
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030342-35024.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030348-79381.png)
即为
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030344-82741.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030348-57390.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030344-23153.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030348-32578.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030348-57390.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030344-81885.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030343-85128.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030323-62138.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030323-37295.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030323-82797.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030323-62138.png)
A.23 | B.95 | C.135 | D.138 |
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030304-90146.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030304-45514.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030304-31173.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030305-19685.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030305-75508.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030230-79655.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030230-66504.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030230-79655.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030230-44722.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030230-22697.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030231-83274.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030231-29099.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030231-66569.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030231-51070.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030231-85104.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030232-91309.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030232-33170.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030232-42574.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030232-89442.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030117-83237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030117-98577.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030117-22065.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030118-91925.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030129-91760.png)
(Ⅰ)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030129-40803.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030117-83237.png)
(Ⅱ)记数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030129-70324.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030117-22065.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030129-65259.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030129-29189.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030130-80248.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030130-34900.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030105-58560.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030105-81066.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030105-63751.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030106-72147.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030106-44737.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030106-94313.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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