题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101407-86590.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101407-41084.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101407-68900.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101407-87009.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101408-14459.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101407-87009.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101409-48215.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101409-57140.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101407-86590.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101409-93162.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101407-41084.png)
(3)设
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101409-21458.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101407-86590.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101407-68900.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101410-29439.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101410-74193.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101410-99600.png)
解析
试题分析:(1)由于64不算大,可以依次计算出
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101410-95007.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101411-28704.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101411-94073.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101411-49933.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101411-97864.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101411-19953.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101411-10952.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101412-79554.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101411-10952.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101412-21194.png)
要证不等式
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101412-78080.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101412-67614.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101411-19953.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101411-19953.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101413-57660.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101413-64585.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101413-10836.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101413-31693.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101413-85589.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101414-88481.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101414-84140.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101414-39879.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101414-75071.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101414-75071.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101415-25224.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101416-98779.png)
试题解析:(1)由
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101416-62080.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101416-29684.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101416-46995.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101416-19221.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101417-22847.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101417-58454.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101417-38661.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101417-87040.png)
故数列
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101417-87040.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101410-99600.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101417-58054.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101417-33668.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101418-15744.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101418-52127.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101418-73602.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101418-13609.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101418-62080.png)
若
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101418-74555.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101419-83163.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101418-15744.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101418-52127.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101419-73275.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101419-52635.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101419-50777.png)
若
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101419-30935.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101420-17220.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101420-51614.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101418-52127.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101420-52629.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101418-13609.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101420-92810.png)
若
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101420-40095.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101420-36769.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101420-51614.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101418-52127.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101420-32689.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101419-52635.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101421-15167.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101421-51994.png)
(3)由
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101421-31469.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101421-67248.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101413-64585.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101413-10836.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101422-71678.png)
若
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101422-68465.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101422-76469.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101422-84525.png)
可得当
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101422-26919.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101423-15131.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101423-71566.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101423-74973.png)
故当
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101423-38799.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101423-77311.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101424-27101.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101424-12402.png)
故对于给定的
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101424-80920.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101424-79182.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101425-76957.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101425-64083.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101425-52457.png)
故
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101425-29592.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101407-68900.png)
核心考点
试题【已知数列具有性质:①为正数;②对于任意的正整数,当为偶数时,;当为奇数时,(1)若,求数列的通项公式;(2)若成等差数列,求的值;(3)设,数列的前项和为,求证】;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/20191009/20191009101355-78326.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101355-93339.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101217-33235.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101218-22593.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101218-98533.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101219-69172.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101219-11905.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101219-42912.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009101219-28493.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100618-36094.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100619-40334.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100619-49791.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100619-65405.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100619-62770.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100620-45534.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100620-70250.png)
(Ⅰ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100618-36094.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100619-62770.png)
(Ⅱ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100620-80520.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100620-42389.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100621-85428.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100621-75518.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100555-25670.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100555-91147.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100556-78282.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100555-25670.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100556-99523.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100556-77517.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100508-12657.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100509-62932.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100509-61685.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100509-46117.png)
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