1 . 填表:
A | B | ||
A | |||
B | |||
A | B | ||
A | |||
B | |||
A | |||
A | |||
A | |||
A | |||
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解题方法
2 . 已知M={小于10的正整数},A⊆M,B⊆M,且(∁MA)∩B={1,8},A∩B={2,3},(∁MA)∩(∁MB)={4,6,9}.
![](https://img.xkw.com/dksih/QBM/2021/10/22/2834614199107584/2835043424796672/STEM/5541cd7d-3139-4c29-9558-833d88478f32.png?resizew=212)
(1)补全Venn图,并写出集合A∪B.
(2)若S⊆A,T⊆B,直接写出集合S∩T
(3)求(∁RM)∪[∁Z(A∩B)].(其中R为实数集,Z为整数集)
![](https://img.xkw.com/dksih/QBM/2021/10/22/2834614199107584/2835043424796672/STEM/5541cd7d-3139-4c29-9558-833d88478f32.png?resizew=212)
(1)补全Venn图,并写出集合A∪B.
(2)若S⊆A,T⊆B,直接写出集合S∩T
(3)求(∁RM)∪[∁Z(A∩B)].(其中R为实数集,Z为整数集)
您最近一年使用:0次
2021-10-22更新
|
405次组卷
|
2卷引用:江苏省苏州实验中学2021-2022学年高一上学期10月月考数学试题
名校
3 . 规定:在整数集
中,被7除所得余数为
的所有整数组成一个“家族”,记为
,即
,
,1,2,3,4,5,6,给出如下四个结论:
①
;
②
;
③若整数
,
属于同一“家族”,则
;
④若
,则整数
,
属于同一“家族”.其中,正确结论为 __ .(填写正确的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d0ecd416d6dc3d886b7bf73fc285dde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68e3b031683b934b4814180c739fe2c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ac07a1c2cc1160dc11b9aad63e873c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a882037b9ce104ecc496e0f31a139361.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24cddd5431e93fb9663d9082bb63e61a.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5e42139682e85aacec0edb5e5f5c306.png)
③若整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d827dcaa87e1525956f5a03be93655c7.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d827dcaa87e1525956f5a03be93655c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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4 . 已知集合A,B中的p同为下列三种情况之一,
①x; ②y; ③![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0203b006524305c3d8ee0b6c34cd872b.png)
请从中选择一种情形填写到下列横线上(只填写序号),并完成作答:
已知集合出
,
,
,其中p为________.
(1)求集合C;
(2)求
.
①x; ②y; ③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0203b006524305c3d8ee0b6c34cd872b.png)
请从中选择一种情形填写到下列横线上(只填写序号),并完成作答:
已知集合出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d16d4946a1eff71a0d825066abbcdf44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7471d000e3667000c63203ffaaeaa13c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f92ba18438c806316deb73fcff7b2f91.png)
(1)求集合C;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
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2021-12-01更新
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142次组卷
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2卷引用:江苏省南京市东山高级中学2021-2022学年高一上学期期中数学试题
5 . 若集合
、
、
满足
,则下列结论:①
;②
;③
;④
中一定成立的有______ .(填写你认为正确的命题序号)
![](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/fea839182e307f7e0b28763d0abb41a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22882310035db6d3d953e060b0c91733.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c6ca098b764e0366d043b69ae9d8f68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f3c7849c21d8acdeda0f83b4f163457.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a347e53d69e6279105061e656d2f5bc7.png)
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6 . 在整数集Z中,被5除所得余数为k的所有整数组成一个“类”,记为
,即
,
.给出如下四个结论:
①
;
②
;
③
;
④整数a,b属于同一“类”的充要条件是“
”.
其中正确结论有____________ (填写正确结论标号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ef3ae0a4507f1f66d5bf885a6b90d90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eab0cb11408747d29e4390131e8371f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63702e21678ae8a609cfa1faeef69fa6.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/992df7e0fb9f11450c44923ad41ab920.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a2a818d5f8da20f51bde5f368de6f5e.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7564a88c692fa7ebe56747ae86824bfe.png)
④整数a,b属于同一“类”的充要条件是“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56fdc4deaa59b7ac4cc8bd4eaa8eecf4.png)
其中正确结论有
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2020-10-24更新
|
319次组卷
|
3卷引用:江苏省苏州中学2020-2021学年高三上学期10月月考数学试题
名校
7 . 设集合A,B是R中两个子集,对于
,定义:
.①若
;则对任意
;②若对任意
,则
;③若对任意
,则A,B的关系为
.上述命题正确的序号是______ . (请填写所有正确命题的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d5adcce23d156cdd18bb95fc5fb5439.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cff420c18e2749228f8014a7ea900744.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44f4c38f1272d07c58f9645d064e80ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ed5930525a04c8fa26e535147e3085.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7baf26599546c024ce19471ad898d6b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8027071461ec144bcda549e5518d77e.png)
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2019-12-10更新
|
398次组卷
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2卷引用:上海市上海师范大学附属中学2019-2020学年高一上学期期中数学试题
8 . 非空集合
关于运算
满足:①对任意
,都有
;②存在
使得对于一切
都有
,则称
是关于运算
的融洽集,现有下列集合与运算:①
是非负整数集,
:实数的加法;②
是偶数集,
:实数的乘法;③
是所有二次三项式构成的集合,
:多项式的乘法; ④
,
:实数的乘法;其中属于融洽集的是________ (请填写编号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3c2f679d53b91088ba6eb14c16cbc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c9cbad1e8b405feac6e8fe403f024b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ea5a550b5452df9abdbca776c2ff500.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25e6faeeed98a19d7012c921ca71a046.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/572f76c63e3a74a90a1e6ca5ae401cf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1ab14d288a58f2bd865846544b5c4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3c2f679d53b91088ba6eb14c16cbc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3c2f679d53b91088ba6eb14c16cbc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3c2f679d53b91088ba6eb14c16cbc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3c2f679d53b91088ba6eb14c16cbc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c8f10a0d3097ea9644b3147f7f0143c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3c2f679d53b91088ba6eb14c16cbc0.png)
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2020-03-05更新
|
181次组卷
|
2卷引用:上海市青浦一中2016-2017学年高一上学期期中数学试题
解题方法
9 . 下列说法:
①函数
的单调增区间是
;
②设
是
上的任意函数,则
是偶函数,
是奇函数;
③ 已知
,
,若
,则实数
取值集合是
;
④ 函数
对于定义域
内任意
,当
时,恒有
;
⑤已知
是定义在
上的函数,则存在区间I,满足
,使得对于
上任意
,当
时,恒有
.
其中正确的是__________ .(只填写相应的序号)
①函数
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571948313206784/1571948319064064/STEM/f174f4eab68c4c0d826dc9d94471016a.png?resizew=68)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571948313206784/1571948319064064/STEM/2b0f199941c446a9bd239db7aac53c76.png?resizew=51)
②设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571948313206784/1571948319064064/STEM/99413f4911de4c3094f074aa96607ff0.png?resizew=16)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ee39054b31845a20e9de6df3beae06d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0353d311ce3108fd9fe6eb1136a06a7e.png)
③ 已知
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571948313206784/1571948319064064/STEM/664c06369a04469a9556e6ce0a51e9ee.png?resizew=102)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571948313206784/1571948319064064/STEM/ee24c66e78b94316a8251b73130d3463.png?resizew=125)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571948313206784/1571948319064064/STEM/880bba98048447689fc6d1e039e548ae.png?resizew=72)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571948313206784/1571948319064064/STEM/6b0a614b28014f7d8608115ea0ea2f54.png?resizew=44)
④ 函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c23e766bb3c4275adb434ce8c550ea18.png)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571948313206784/1571948319064064/STEM/99413f4911de4c3094f074aa96607ff0.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571948313206784/1571948319064064/STEM/e93f011adbc0484cba6fadfeffaf0291.png?resizew=37)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571948313206784/1571948319064064/STEM/d56911400a2648ca9763b57ac1707e08.png?resizew=49)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88e63973a4b1bb9865b41d975bd80952.png)
⑤已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81f4ac30923a9784daba8d2d469ed3ff.png)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571948313206784/1571948319064064/STEM/99413f4911de4c3094f074aa96607ff0.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571948313206784/1571948319064064/STEM/4ccb2937e9f14e1d9459f251f5979140.png?resizew=42)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571948313206784/1571948319064064/STEM/e93f011adbc0484cba6fadfeffaf0291.png?resizew=37)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571948313206784/1571948319064064/STEM/d56911400a2648ca9763b57ac1707e08.png?resizew=49)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4a4ab6155e1fd2c8f9508efa3adcda0.png)
其中正确的是
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解题方法
10 . 下列四个命题中正确的是____________ .(请填写出所有正确的序号)
①已知集合
,
,且
,则
;
②设
、
为两非空数集,定义集合
,若
,
,则
;
③若
,
,则
;
④设集合
,
,且满足
,则实数
的取值范围是
.
①已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/265e81e52218232e16c78f57b3aa0de9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23f5d7f08f61192a67115f41906ede2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbbe46a98a8fdebfc46fcbc45dc88e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb24eb64ef31a8be182d926a4a407cd8.png)
②设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e09d2d842882b706814c0eb6e4aea21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39dbcd1aab70dcec63c5f05d42e15684.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e38fff7537fe014afc21111f9d916d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13d8012d12777135136303fa6ef79f2d.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82fb899e1f53848e9f6734667a23dc6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c032cbf7293dc32b6b8aef56c9ecb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
④设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0db82c7e8ffaf10e27bd6f30b98a6179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6747cd74a2f551983ef35c18f5e0fff0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04ceb1f338fa60976229d7ec6531b626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c601507f4ad01d09fdd9470dc83555c6.png)
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