1 . 集合相等:对于两个集合A与B,如果集合A是集合B的_____ ,且集合B也是集合A的______ ,那么称集合A与集合B相等,记作A=B.
您最近一年使用:0次
2 . 从“充分而不必要条件”“必要而不充分条件”“充要条件”和“既不充分又不必要条件”中选择适当的一种填空.
(1)
是
为正数的______ ;
(2)四边形的两对角线相等是该四边形为矩形的______ ;
(3)四边形的一组对边平行且相等是四边形的两组对边分别平行的______ ;
(4)若
,则
是
的______ .
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b87ecc31822d729a45488d803fff4e16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)四边形的两对角线相等是该四边形为矩形的
(3)四边形的一组对边平行且相等是四边形的两组对边分别平行的
(4)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdbf50b34d559607dc5a75c90a72e558.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
您最近一年使用:0次
3 . 常见不等式的性质:
(1)
是
的_______ 条件;
(2)如果
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
____
;
(3)
是
的______ 条件;
(4)如果
,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f384e98d574fa2676d61624285f88188.png)
____
;如果
,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f384e98d574fa2676d61624285f88188.png)
____
;
(5)如果
,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd1810555c0c28fe352841322b85bbc6.png)
____
;
(6)如果
,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f384e98d574fa2676d61624285f88188.png)
____
;
(7)如果
,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81baf482546f298ba289d723bc21e0c3.png)
____
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d5556dd86322752a457b3a6ba979c80.png)
(2)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30eb197fcbd6cea2230fbf8946fb82cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b50501087390b0c12b427ac564a834e7.png)
(4)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e76ce07edcc26c09544c0bac0e36413e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f384e98d574fa2676d61624285f88188.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69225cfdfbc0a9a1ccfdd15c46353b8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5aec517ae1f04792179c173bd662d16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f384e98d574fa2676d61624285f88188.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69225cfdfbc0a9a1ccfdd15c46353b8f.png)
(5)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aa8950fa963eedb948d6a57871478cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd1810555c0c28fe352841322b85bbc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d02a08024fd5d4305bc2638b472fa48.png)
(6)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7ad6cf9fb725f7947bddaf3149ba07d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f384e98d574fa2676d61624285f88188.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a0aa3929a1e72941a617ec65e2abc66.png)
(7)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81baf482546f298ba289d723bc21e0c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc4dfbd0391dfa1708c793c9fde635f7.png)
您最近一年使用:0次
4 . 四种条件关系:
(1)如果命题“若
,则
”为真命题且“若
,则
”为假命题,那么
是
的___ 条件.
(2)如果命题“若
,则
”为假命题且“若
,则
”为真命题,那么
是
的___ 条件.
(3)如果命题“若
,则
”为真命题且“若
,则
”也为真命题,那么
是
的___ 条件.
(4)如果命题“若
,则
”为假命题且“若
,则
”也为假命题,那么
是
的___ 条件.
(1)如果命题“若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
(2)如果命题“若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
(3)如果命题“若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
(4)如果命题“若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
您最近一年使用:0次
5 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f735ad515a58af2a385fa4f0d92a974.png)
______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/429e921cea6548d3e24eadb931967f71.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f735ad515a58af2a385fa4f0d92a974.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/429e921cea6548d3e24eadb931967f71.png)
您最近一年使用:0次
6 . 补集
(1)设
,由
中______
的所有元素组成的集合称为
的子集
的补集,记为
即![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5e5f5b9a3962e05248ad099e2c6ef3d.png)
________ .
(2)如果一个集合包含我们所研究问题中涉及的_____ 元素,那么就称这个集合为全集,全集通常记为
.
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/952f1e0ce5bd53a6d5e8bb07ea2da5f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a0b08b4fe792c9eecea1bda373071a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5e5f5b9a3962e05248ad099e2c6ef3d.png)
(2)如果一个集合包含我们所研究问题中涉及的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b52b4f24969673c863b5aff4fb6751ce.png)
您最近一年使用:0次
7 . 子集
(1)如果集合
的_______ 都是集合
中的元素,这是我们说集合
包含于
,或者集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
______ 集合
,记为______ .
(2)如果
,那么我们称集合
和集合
相等,记为______ .
(3)如果
,且存在
,则称
是
的真子集,记为_______ .
(4)在数学中,我们常用韦恩图来表示集合,如图所示的两个集合,它们的关系是______ ;
可记为________ .
中有
个不同的元素,则
的所有子集的个数为______ .
(1)如果集合
![](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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65c7db04cde90fc5c5352b47ae8d0c24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(3)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26f8002f5d496271762735709b579ac2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(4)在数学中,我们常用韦恩图来表示集合,如图所示的两个集合,它们的关系是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84f82e4f52a6718f487ad039ddea7fdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
2023-07-22更新
|
496次组卷
|
3卷引用:第2课时 课前 子集、全集、补集(完成)
第2课时 课前 子集、全集、补集(完成)【导学案】1.2 集合的基本关系课前预习-北师大版2019必修第一册第一章预备知识(已下线)专题02集合间的基本关系1-【倍速学习法】(人教A版2019必修第一册)
2023高三·全国·专题练习
8 . 已知
,集合
,
,若
只有一个元素,则
满足的关系为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64541d7f445079207b6f671adc7d662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6607acc59f66864fa5515a21146f497f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7856691877b157fd4d541b082f9b98d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
您最近一年使用:0次
2023高一·全国·专题练习
9 . 元素与集合
(1)集合中元素的特性:_______ 、_______ 、_______ .
(2)元素与集合的关系:如果a是集合A的元素,就说a_______ 集合A,记作_______ ;如果a不是集合A中的元素,就说a_______ 集合A,记作_______ .
(3)集合的表示方法:列举法、描述法、图示法.
(4)常用数集及其记法:
注:图表中所列举的字母符号均是集合的形式,不要加{},这是因为{R}不是实数集,它表示一个集合,该集合中只有一个元素R.
(1)集合中元素的特性:
(2)元素与集合的关系:如果a是集合A的元素,就说a
(3)集合的表示方法:列举法、描述法、图示法.
(4)常用数集及其记法:
数集 | 非负整数集(或自然数集) | 正整 数集 | 整数集 | 有理 数集 | 实数 集 | 复数 集 |
符号 | N*或(N+) | Z | Q | R | C |
您最近一年使用:0次
名校
解题方法
10 . 已知集合
,且
,则实数m的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22cc0dd45a36a3f338545f8b5f20db11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf22d7d1a965bda25168a233fb6290c.png)
您最近一年使用:0次
2023-06-22更新
|
1871次组卷
|
12卷引用:【导学案】1.2 集合间的基本关系-2021-2022学年高一数学《新教材同步精典导学案》(人教A版2019必修第一册)
【导学案】1.2 集合间的基本关系-2021-2022学年高一数学《新教材同步精典导学案》(人教A版2019必修第一册)(已下线)第03讲 子集、全集、补集-【暑假自学课】(苏教版2019必修第一册)(已下线)第1章:集合与常用逻辑用语章末重点题型复习-【题型分类归纳】(已下线)第1章:集合章末重点题型复习(2)-【题型分类归纳】(苏教版2019必修第一册)(已下线)专题1.2 子集、全集、补集(2)-【帮课堂】-(苏教版2019必修第一册)(已下线)1.2 集合间的关系(精练)-《一隅三反》山东省临沂市莒南第一中学2023-2024学年高一上学期9月月考数学试题重庆市松树桥中学校2023-2024学年高一上学期第一次月考数学试题(已下线)专题01 集合压轴题-【常考压轴题】(已下线)第一章 集合与常用逻辑用语单元复习提升-速记·巧练(人教A版2019必修第一册)(已下线)第一章 集合与逻辑单元复习提升(3大易错与3大拓展)-速记·巧练(沪教版2020必修第一册)安徽省宿州二中雪枫中学校区2023-2024学年高一上学期过程性检测第4次测试数学试题