1 . 设
,子集
之积数定义为G中所有元素之乘积(空集的积数为零),求X中所有偶数个元素之子集的积数的总和是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32af3d6a5ce492722fd0f9c21f4b4843.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dbe3f7060e59bb7899852205ea137be.png)
您最近一年使用:0次
2 . 已知非空正实数有限集合A,定义集合
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b65fc3cd4d73993db28934c2584ba44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33da439cbb5d0c47765d0009f80fa969.png)
您最近一年使用:0次
3 . 已知非空集合
,用
表示集合
中最大数和最小数的和,则所有这样的
的和为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b040090539bbb231a27eac3253e2e4dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/339a8c986e8767f72fa5611185702055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/339a8c986e8767f72fa5611185702055.png)
您最近一年使用:0次
名校
4 . 已知
,集合
,若
,则
的值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360ff131c51a4ef6745538c18cec92c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85134c39778acf4a38bdbc76caa19ad1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9d0d79fd0efdb59c9ca65bfae4a0861.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
您最近一年使用:0次
2021-07-21更新
|
525次组卷
|
2卷引用:全国高中数学联赛模拟试题(三)
5 . 设集合
,且
,则
有_______ 个元素.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26048025cda0673e1429af69766fccc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9663bdc8c7cd237b9d59f0e760ad5a3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
6 . 设
为集合
的子集,若存在正整数
,使得对任意整数
,总能找到正实数
,满足
,且
在十进制表示下的所有数字(不包括开头的0)都属于集合
,则
的最小值为___ (
表示集合
的元素个数).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f78ebbeebb989d39dd0206d797a19c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1563da7b0f046a469476668a3686e8f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/663a61ad241d5d874c9a9362f0ee917c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2444763873f76ca9d92b0096b0107409.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/663a61ad241d5d874c9a9362f0ee917c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a4c1cc01a29960cd990ae81f1c80b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a4c1cc01a29960cd990ae81f1c80b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
您最近一年使用:0次
7 . 设正整数m、n,集合
,
,
,满足对任意的
,均有:
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/912b27bed96203743acc37d1aef2e6c5.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d794e8f62f7f43d2598f2e4194b4e748.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e10315e9199f4f8a6a0e5ef8db7c43d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02c9aff377f5faead95c576d8929991a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed5b1e0979ae0cafa5d2813a130e4004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fb79bb271e0c7bb59abfeb641775123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/912b27bed96203743acc37d1aef2e6c5.png)
您最近一年使用:0次
8 . 已知A与B是集合
的两个子集,满足:A与B的元素个数相同,且
为空集.若当
时总有
,则集合
的元素个数最多为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df88b8190e2bee0ed628810d5cb8bdb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b05f8bcb38a5c47e2e8fe9889717fc88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ab66222e1968c552352ce98e641a149.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
您最近一年使用:0次
名校
9 . 设数集
,而
两两之和构成集合
.则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9163ebe812708ee5337d62298c2e3363.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c172213f6fef5c205f6ca2c599d3eae0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c27a9af7db04a611063978a7990745e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ab71318b91bdd9d23488c629abf58ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9163ebe812708ee5337d62298c2e3363.png)
您最近一年使用:0次
2018-12-26更新
|
417次组卷
|
4卷引用:全国高中数学联赛模拟试题(七)
全国高中数学联赛模拟试题(七)数学奥林匹克高中训练题(6)上海市奉贤中学2021-2022学年高一上学期10月月考数学试题(已下线)第一章 集合与逻辑(单元提升卷)-【满分全攻略】(沪教版2020必修第一册)