解题方法
1 . 已知集合
或
,
,则
与
的关系是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c6ec7dee04e38cbc4d59767cd0638d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5fb3d491a81b148f8988f9d04c4a13e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d2635ad9bad4b01a1a70a88f6aaee9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e36107591b80216ded064f86af687b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/263c14c91031d4566e0cea585ae07ea5.png)
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2 . 已知集合
,
.设p:
,q:
,试判断p是q的什么条件,q是p的什么条件.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b80d641a3a113e9454f9531736d99178.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14e0ca05efabd2c52471182ff0de315d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
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2023-10-07更新
|
25次组卷
|
3卷引用:北师大版(2019)必修第一册课本习题第一章2.1 必要条件与充分条件
3 . 举例说明集合间的包含关系与相等关系,并用Venn图直观表示.
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2023-10-07更新
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67次组卷
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5卷引用:北师大版(2019)必修第一册课本习题第一章1.2 集合的基本关系
北师大版(2019)必修第一册课本习题第一章1.2 集合的基本关系(已下线)专题02集合之间的关系1-【倍速学习法】(沪教版2020必修第一册)(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)(已下线)1.2 集合的基本关系北师大版(2019)必修第一册课本例题1.2 集合的基本关系
21-22高一·湖南·课后作业
名校
4 . 已知
:
,
:
.若
是
的充分而不必要条件,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55a12a30935c79ae769818043a496f53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50a0daab066d0e95250b25173da55bc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffc1bb9d53a27d484396ad74d6a26e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e26b38e357c7d985656ba7bb3c794a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023-10-05更新
|
77次组卷
|
3卷引用:复习题一2
21-22高一·湖南·课后作业
5 . 已知集合
,
,
,
,求集合
,
,
,
之间的关系.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f21f66bf4608715b80d3a5bfbefe7f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa60c802527840002761223e6dbbf04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdcc618531445ab2af9320531a7d5adc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/569878e4121ff94df2ddc9682d3c6f77.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
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21-22高一·湖南·课后作业
6 . 下列各组的3个集合中,哪2个集合之间具有包含关系?
(1)S={-2, -1, 1, 2}, A={-1, 1}, B={-2, 2};
(2)S=R, A={x|x≤0}, B={x|x>0};
(3)S={x|x为整数},A={x|x为奇数},B={x|x为偶数}
(1)S={-2, -1, 1, 2}, A={-1, 1}, B={-2, 2};
(2)S=R, A={x|x≤0}, B={x|x>0};
(3)S={x|x为整数},A={x|x为奇数},B={x|x为偶数}
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21-22高一·湖南·课后作业
7 . 判断下列每对集合之间的关系:
(1)
,
;
(2)
,
{
是
的约数};
(3)
,
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffb6fc47b90dff08459f8f4fd1dbb6b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca5d95ae1ea4c24d410efa19703753d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9c90c13a064dd8be1f9043d29ea2e33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a6d85799453899836bc34ad276ec80e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b7a5b4932f30f6d1b8fcdd82992ce7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8da45c443af7994a26ffa9d8894e7262.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/258ccb34e2f46a791d25f5c6f9060ae1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d95652b0abe63f487dd6541e1400bf4.png)
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2022-02-23更新
|
456次组卷
|
6卷引用:1.1.2 子集和补集
(已下线)1.1.2 子集和补集(已下线)第01讲 集合的概念与集合间的基本关系-【暑假自学课】2022年新高一数学暑假精品课(人教版2019必修第一册)(已下线)专题10 集合间的基本关系-2022年暑假初三升高一数学衔接知识自学讲义(人教A版2019)(已下线)1.2 子集、全集、补集-2022-2023学年高一数学新教材同步配套教学讲义(苏教版2019必修第一册)湘教版(2019)必修第一册课本习题1.1.2子集和补集(已下线)高一上学期期末复习【第一章 集合与常用逻辑用语】基础-举一反三系列
21-22高一·湖南·课后作业
8 . 已知
,
为非空集,
为全集,且
,用适当的符号填空:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
______
; (2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
______
;
(3)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
______
; (4)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a837165ca03f9e4ea8964979c95e3bb.png)
______
;
(5)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/582ce9bf72cf6b30c2e14921657459ad.png)
______
; (6)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4109b7e801d42d24f37fc0cfde87aedc.png)
______
;
(7)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7405d9c4183738865f6b14a5b8e97964.png)
____ ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4e8a0a95931760d0ea46a8366fde2e4.png)
____
; (8)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb584b83ae783a0ec8a9b4628b7fca3e.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e25faf6c06310292eea7b9b03671dd4.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a837165ca03f9e4ea8964979c95e3bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/582ce9bf72cf6b30c2e14921657459ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/085353be6adc4ee83749a7d6fe117bf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4109b7e801d42d24f37fc0cfde87aedc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(7)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7405d9c4183738865f6b14a5b8e97964.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4e8a0a95931760d0ea46a8366fde2e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a837165ca03f9e4ea8964979c95e3bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
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20-21高一·江苏·课后作业
9 . 指出下列各组集合
与
之间的关系:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bf6c84731e5e1bd335ecfc2d36c3d81.png)
,
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f53190d6ead827a6338b9de847aeaf1.png)
,
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f62295c36d2e2174908c2bec0eb5b30f.png)
,
是
的正约数
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b49be5fb800b66cdb284b864e8f04a85.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/9bf6c84731e5e1bd335ecfc2d36c3d81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/265e81e52218232e16c78f57b3aa0de9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9568e820cd41e8203aac25df6cf67c5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f53190d6ead827a6338b9de847aeaf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfc03ec3d78487844b44cd273efc9188.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caea5ef65deb103c6f92ae60907ae686.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f62295c36d2e2174908c2bec0eb5b30f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1921c5c548e48d6d29db17e35276447e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/593ef3233d0b3680c6dd586c35905c68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b184c94e38f1e5dbe750b2168c2a37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef605a7dce0a48fdec3728be12b882dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b49be5fb800b66cdb284b864e8f04a85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aac2c0e4c6fc7ae8950a38098cb062f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa4c1f311a514805a8dfded3211f51cb.png)
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20-21高一·江苏·课后作业
10 . 如图,试说明集合A,B,C之间有什么包含关系.
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