题目内容
(1)在等差数列
中,d=2,n=15,
求![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823181048019206.gif)
及![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823181048066220.gif)
(2)已知
,
都是正数,并且
,求证:![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823181048596550.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823181047988267.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823181048003408.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823181048019206.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/2014082318104805072.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823181048066220.gif)
(2)已知
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823181048300192.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823181048378197.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823181048581244.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823181048596550.gif)
解:设数列
的公
差为
,则
,
,
.-
--------------------------------------- 3分
由
成等比数列得
,------------------------
------- 4分
即
,
整理得
,-------------------------------- 6分
解得
或
.------------------------------- 7分
当
时,
. 9分
当
时,
, 10分
于
是![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823181049423733.gif)
---------12分
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823181048612381.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/2014082318104805072.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823181048643198.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823181048659522.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823181048690594.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823181048783599.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/2014082318104898672.gif)
由
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823181049173426.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823181049189439.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/2014082318104920565.gif)
即
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823181049220801.gif)
整理得
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823181049251510.gif)
解得
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823181049267247.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823181049298230.gif)
当
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823181049267247.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823181049345553.gif)
当
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823181049298230.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823181049376612.gif)
于
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/2014082318104940785.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823181049423733.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823181049439568.gif)
略
![](http://thumb.zyjl.cn/images/loading.gif)
练习册系列答案
相关题目