1 . 已知
称为
,
的二维平方平均数,
称为
,
的二维算术平均数,
称为
,
的二维几何平均数,
称为
,
的二维调和平均数,其中
,
均为正数.
(1)试判断
与
的大小,并证明你的猜想.
(2)令
,
,试判断
与
的大小,并证明你的猜想.
(3)令
,
,
,试判断
、
、
三者之间的大小关系,并证明你的猜想.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/216c56f8916df0b7d3f813e2be795cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31f1307dfb75d7ee55b0d905d28431f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/943b26f5683da522c06e1ddaa2afcc25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60bb1b4862b4ef8ffab2c3bf26da9ec2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(1)试判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86fda993d38532293724009685288b72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e1fae01485740cbb48b5c79f1185b54.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99222aca4a3e7b2975c6de082c64211f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48ec899e070bbd65e0a02aa1fd72c07a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
(3)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99222aca4a3e7b2975c6de082c64211f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48ec899e070bbd65e0a02aa1fd72c07a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab34b304a90bf114fb125792d3735516.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
2016-12-03更新
|
381次组卷
|
2卷引用:2014-2015学年重庆市万州第二高级中学高二3月月考文科数学试卷