名校
解题方法
1 . 设![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f4d1249a24300ebfc3d0219f5bb4d06.png)
是由
组成的
行
列的数表(每个数恰好出现一次),
且
.若存在
,
,使得
既是第
行中的最大值,也是第
列中的最小值,则称数表
为一个“
数表”
为数表
的一个“
值”,对任意给定的
,所有“
数表”构成的集合记作
.
(1)判断下列数表是否是“
数表”.若是,写出它的一个“
值”;
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9578b9d3e9f25d56b3cff92c362b7b9a.png)
(2)求证:若数表
是“
数表”,则
的“
值”是唯一的;
(3)在
中随机选取一个数表
,记
的“
值”为
,求
的数学期望
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f4d1249a24300ebfc3d0219f5bb4d06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0855b859cea85c928dceeb703492eec2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92ffc57987e8ce6bd4e034d3fa0d8b50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1505d56f0b35fe7f2de1fe1888036e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ef835c9ad2636a9662fb6c99e3abc78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68f01cfc245e926581bdb125e0fba733.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4ba1bbe411bc71bca016d3fd82352f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7600d2cfbdc6146db96cc545706004f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b9e05eb5996d4c94049f6f5fa7d16e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4ba1bbe411bc71bca016d3fd82352f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b9e05eb5996d4c94049f6f5fa7d16e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b9e05eb5996d4c94049f6f5fa7d16e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e00d8f90655e6341907aa9c7c62d4398.png)
(1)判断下列数表是否是“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b9e05eb5996d4c94049f6f5fa7d16e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b9e05eb5996d4c94049f6f5fa7d16e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7472089f40e32910ce97be398e3f2948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9578b9d3e9f25d56b3cff92c362b7b9a.png)
(2)求证:若数表
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b9e05eb5996d4c94049f6f5fa7d16e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b9e05eb5996d4c94049f6f5fa7d16e8.png)
(3)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2374064abe447ef286f69df90397abe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b9e05eb5996d4c94049f6f5fa7d16e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc79c66ebaacd709ec9965b90a22b14.png)
您最近一年使用:0次
2018-04-14更新
|
612次组卷
|
2卷引用:北京市城六区2018届高三一模理科数学解答题分类汇编之压轴创新题