名校
解题方法
1 . 设集合
为非空数集,定义
,
、
,
,
、
.
(1)若
,
,写出集合
、
;
(2)若
,
,
,
,
,且
,求证:
;
(3)若
,
且
,求集合
元素个数的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bd459012e02fb4ee4ba717e4f796333.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b760374cbc66c4f69ac0928c1762bbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/833d2c2b4814d6b1fd5b1819595c461c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b760374cbc66c4f69ac0928c1762bbe.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f20250103ee55be5807172915e6ce840.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/659ce142c5578c660dcadacb81b8d7c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b26ea9b3e6e286874c5dca1badea723.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e16289945d1d1c529fb1bfd4d828f413.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/594bb2f36b66f2d995222145612e8217.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cec733ccf28e47e673cb7d4a73be08a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98bef91838216aafb6e3819baace4f29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3604274ad6707a906eba371a9e884144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/457182a8f3f9f980d60a15d97fdb2243.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb1868c8a0db983c9cc2695294fa03b1.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e90025e40ca7d100ee39c45afe55b827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf44db93ea5947f75d513b52a91ee4ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0547485cc777072605fac19af059e39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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2022-02-14更新
|
1249次组卷
|
6卷引用:上海市黄浦区大同中学2021-2022学年高一上学期期中数学试题
上海市黄浦区大同中学2021-2022学年高一上学期期中数学试题(已下线)专题01集合及其运算-2022年新高三数学暑假自学课精讲精练第1章 集合 单元综合检测(难点)(已下线)上海高一上学期期中【压轴42题专练】(2)(已下线)第1章 集合与逻辑(基础、典型、新文化、压轴)分类专项训练-2022-2023学年高一数学考试满分全攻略(沪教版2020必修第一册)(已下线)专题03集合的运算2-【倍速学习法】(沪教版2020必修第一册)
名校
解题方法
2 . 已知集合
为非空数集,定义:
,
.
(1)若集合
,求证:
,并直接写出集合
;
(2)若集合
,
,且
,求证:
;
(3)若集合
,
,记
为集合
中元素的个数,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b72b157bd4a8e6ef02c906a5bd99bad2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7b9122f884314b4fb300d800d82cbd2.png)
(1)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44fe4d0c0999574d1766ea963a6aed43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1ea9a804573617cb3e9414c9a74925b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7591668ec1bc5e8b1f2c4dba4835d1b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3604274ad6707a906eba371a9e884144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c76ad1e03a6ba59e8164e37c5e7e063e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb1868c8a0db983c9cc2695294fa03b1.png)
(3)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ae30071e46588524faa5c6f8a65aa26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30a6a3d1be93cf6d16ee6e0ce0497f46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc8279d9dd0b7750953cb9e2098b3b90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc8279d9dd0b7750953cb9e2098b3b90.png)
您最近一年使用:0次
2021-11-14更新
|
887次组卷
|
8卷引用:上海市徐汇区位育中学2021-2022学年高一上学期期中数学试题
上海市徐汇区位育中学2021-2022学年高一上学期期中数学试题(已下线)第02练 集合的运算-2022年【寒假分层作业】高一数学(人教A版2019选择性必修第一册)(已下线)第1章 集合与逻辑(B卷·能力提升练)-【单元测试】2022-2023学年高一数学分层训练AB卷(沪教版2020必修第一册)(已下线)第01讲 集合的含义与表示(4大考点12种解题方法)(3)(已下线)上海高一上学期期中【压轴42题专练】(2)(已下线)高一上学期期中【易错60题考点专练】(必修一前三章)-2022-2023学年高一数学考试满分全攻略(人教A版2019必修第一册)(已下线)难关必刷01集合的综合问题(3种题型30题专项训练)-【满分全攻略】(沪教版2020必修第一册)(已下线)期中真题必刷压轴30题-【满分全攻略】(沪教版2020必修第一册)
3 . 设M,N是两个非空集合,定义集合M,N的差集为
且
.
(1)已知
,
,若
,求实数
的取值范围;
(2)若
,
是两个非空集合,求
;
(3)若
,
关于
的方程
的解是负数
,再定义
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eafea5db33fe3f32236ccfec05310067.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4d76e0475967ebd13497107eb97e46c.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91a6fc16e8543dc1f3411525cd943ada.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b474fa3689d03af6d5b43b97e60376e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8d64270a0a30261a193b16604f5f311.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7474df966fe3085468537375a15f48e6.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcc2bc57b56ae5ff339fe728a85d1aed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51734bfd04eaf1b673decc4e424acd97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b4317304c9199cb76e47df8b7800147.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ca8bdc812627d925f00ed7c145d696.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b7e0559693014e51d720ec671abe56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff5231cb0bfedf2f963c1830adfd74aa.png)
您最近一年使用:0次
名校
4 . 设集合
,集合
.
(1)若集合
,求实数
的取值范围
(2)若集合
中只有一个元素,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bca74678992a2d7d4a11e8f36210361.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2282cc2ba075f5f96cd777e5eb2357b.png)
(1)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a347e53d69e6279105061e656d2f5bc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2019-11-07更新
|
2831次组卷
|
9卷引用:陕西省延安市第一中学2019-2020学年高一上学期第一次月考数学试题
陕西省延安市第一中学2019-2020学年高一上学期第一次月考数学试题湖南省长沙市雨花区2019-2020学年高一上学期期末数学试题福建省龙岩市武平县第一中学2020-2021学年高一单元检测数学试题(已下线)专题1.2 集合 章末检测2(中)-【满分计划】2021-2022学年高一数学阶段性复习测试卷(苏教版2019必修第一册)湖北省武汉市育才高级中学2021-2022学年高一上学期第一次月考数学试题湖南省长沙市雅礼中学2021-2022学年高一上学期第一次月考数学试题陕西省安康中学2021-2022学年高一上学期第一次月考数学试题江苏省连云港市2022-2023学年高一上学期期末模拟数学试题(4)(已下线)难关必刷01集合的综合问题(3种题型40题专项训练)-【满分全攻略】(人教A版2019必修第一册)
名校
5 . 设函数
,其中
是实数集
的两个非空子集,又规定
,
,下列所有错误的说法的序号是_________ .
(1)若
,则
;(2)若
,则
;
(3)若
,则
;(4)若
,则
.
![](https://img.xkw.com/dksih/QBM/2018/6/8/1962870090260480/2019319720411136/STEM/d8ad7c6a0173405ebbf0b205b0d7a277.png?resizew=124)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ffbc423070f5d7ce2c72229066ee1cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38c932375be15478468ab5828bf7d240.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3848226573187b2763207a4e64bb7cd4.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5eb03e97d9498bff9c3dfac271dad01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86d4d6f3d4f6ba28d2324d62d5a59605.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2918cf5ca31365fd63e38944becd0751.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/783f051fc87b6875ef90b14a90a20b5a.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70d64e5e7e66987afd98306a6c90f65d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/426f7f71bcda053422d81d71785fadf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c1997004ac72ebafff467930153a7bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b588432f686d663a1f00a4f2d07cb473.png)
您最近一年使用:0次