名校
1 . 定义一个集合
的所有子集组成的集合叫做集合
的幂集,记为
,用
表示有限集
的元素个数.给出下列命题:①对于任意集合
,都有
;②存在集合
,使得
;③若
,则
;④若
,则
;⑤若
,则
.其中所有正确命题的序号为______ .
![](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/27b6f8cb2faaad82b53b2a66ee817a37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d06cb03804abed6015be7b8c2eaf83f.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/5d155ac82ede43de3a78c0e21ad8b1ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bc89dbec909e7cc1993a4428c2a11c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfb493ec7ce294976af8a9dcf8c7b76a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d1c5ac0da9e3a3d95e22a5231dac356.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97be7d482888b030f7f8e0d75dbefcbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dcb88e461d0bb0707e404d7b9a7d0ca.png)
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2 . 下列四个结论:①
;②
;③![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5f5e5688b5c7e514ee72597690a7676.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d652d6e7c8b664b01225b2e6965008c4.png)
;④
.其中正确结论的序号为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aba99c2e0223815eccbd77f4b528a345.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbf82d0306f6f5ce7b8aa3c8b4059e6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5f5e5688b5c7e514ee72597690a7676.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d652d6e7c8b664b01225b2e6965008c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a837165ca03f9e4ea8964979c95e3bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c77009ae1d0ce744a1e1ac98e74c88f.png)
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3 . 设非空集合
满足:当
时,有
,给出如下四个命题:
①若
,则
;②若
,则
;③若
,则
;④若
,则
或
;
其中正确命题的序号为____________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1499570d8771961eb973d275daf634c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c8647b00cc8c8f35555c7d78cf2812c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/561b2a3989ac7b46ec794c2ad9a60b47.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b75f08f6a3c243392eb7601e3f736899.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54078c4af5b305e26b8e3faa6423e67e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7a99456afdc55c5bfab783784461db6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f79934108f80826ed066be5e28f9d6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f93f67ef3e941be3b7685f92180735c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4d9eca0a0dab41743fd9703a6ed8913.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d59b388ab091cefdc4f1254b57577575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
其中正确命题的序号为
您最近一年使用:0次
2020-02-01更新
|
1801次组卷
|
6卷引用:2015-2016学年上海市金山中学高一上学期期末数学试卷
4 . 给出下列说法:
①集合
用列举法表示为
;
②实数集可以表示为
为实数
或
;
③方程组
的解组成的集合为
.其中不正确的有______ .(把所有不正确说法的序号都填上)
①集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cdda8ab02ed0fb8fcb88afe25a21546.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e579db390f938e41c45169ce4cdd805c.png)
②实数集可以表示为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2eb12f54c6a9fe0bc6245ade7163d6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ca8bdc812627d925f00ed7c145d696.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c4ff49f14b5b6cc37fd866c5d81bf45.png)
③方程组
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/717ae5a0432a6fd6405d770c3ad64137.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9ac2880ae21f06ae72d3d19141223b8.png)
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2019-10-25更新
|
560次组卷
|
3卷引用:人教B版(2019) 必修第一册 必杀技 第一章 1.1.1集合及其表示方法
人教B版(2019) 必修第一册 必杀技 第一章 1.1.1集合及其表示方法人教A版(2019) 必修第一册 必杀技 第一章 1.1 集合的概念(已下线)第1讲 集合的概念-【新教材】2020新高一同步(初升高)衔接讲义(原卷+解析)
5 . 若平面点集M满足:任意点(x,y)∈M,存在t∈(0,+∞),都有(tx,ty)∈M,则称该点集M是“t阶聚合”点集.现有四个命题:
①若M={(x,y)|y=2x},则存在正数t,使得M是“t阶聚合”点集;
②若M={(x,y)|y=x2},则M是“
阶聚合”点集;
③若M={(x,y)|x2+y2+2x+4y=0},则M是“2阶聚合”点集;
④若M={(x,y)|x2+y2≤1}是“t阶聚合”点集,则t的取值范围是(0,1].
其中正确命题的序号为
①若M={(x,y)|y=2x},则存在正数t,使得M是“t阶聚合”点集;
②若M={(x,y)|y=x2},则M是“
![](https://img.xkw.com/dksih/QBM/2016/3/18/1572546403147776/1572546408783872/STEM/343a394834424e23bf4d72fde23c2d7b.png)
③若M={(x,y)|x2+y2+2x+4y=0},则M是“2阶聚合”点集;
④若M={(x,y)|x2+y2≤1}是“t阶聚合”点集,则t的取值范围是(0,1].
其中正确命题的序号为
A.①② | B.②③ | C.①④ | D.③④ |
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6 . 下列说法不正确的是______ (填序号).
①由1,0,5,3,2组成的集合中有5个元素;
②集合
与
表示不同的集合;
③集合
和
表示同一个集合.
①由1,0,5,3,2组成的集合中有5个元素;
②集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b26bbb11e932ddb26a9088e7fc33e87b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b42ca8760418152486ac9dc2cbc60e0d.png)
③集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f3938afdef312e5aefd78414f3ac92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64d95943237b41092c2e3cfcb941ba68.png)
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7 . 若平面点集
满足:任意点
,存在
,都有
,则称该点集
是“
阶稳定”点集.现有四个命题:
①对任意平面点集
,都存在正数
,使得
是“
阶稳定”点集;
②若
,则
是“
阶稳定”点集;
③若
,则
是“
阶稳定”点集;
④若
是“
阶稳定”点集,则
的取值范围是
.
其中正确命题的序号为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46555735dde9e57ac52e1eeb687f3ad0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f38e916d4c713366616379768222c5da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd29dc9d11ca26bc64a31b344da89a65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
①对任意平面点集
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a6d5b3bdd2b277ed94306cca2a39e9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24688a4ab2e909d1002685bb68d7cb99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14d59834cd0f5a9e7911c313c431c1bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24b319d1866ba76cba6a91f09f610f50.png)
其中正确命题的序号为
A.①② | B.②③ | C.①④ | D.③④ |
您最近一年使用:0次
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8 . 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)
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9 . 下列判断错误的是______ (填写序号)
①集合{y|y=
}有4个子集;
②若α≠β,则tanα≠tanβ;
③若log2a>log2b,则2a>2b;
④设函数f(x)=log2x的反函数为g(x),则g(2)=1;
⑤已知定义在R上的奇函数f(x)在(-∞,0)内有1008个零点,则函数f(x)的零点个数为2017.
①集合{y|y=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/addc0ed844dcdbd3f9f5f73d45a71fda.png)
②若α≠β,则tanα≠tanβ;
③若log2a>log2b,则2a>2b;
④设函数f(x)=log2x的反函数为g(x),则g(2)=1;
⑤已知定义在R上的奇函数f(x)在(-∞,0)内有1008个零点,则函数f(x)的零点个数为2017.
您最近一年使用:0次
名校
10 . 设P是一个数集,且至少含有两个元素.若对任意的a, b∈P,都有a+b,a-b,ab,
∈P (除数b≠0),则称P是一个数域,例如有理数集Q是一个数域,有下列说法:
①整数集是数域;
②若有理数集Q
M,则数集M必为数域;
③数域必为无限集.
其中正确说法的序号是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2122e3f1e76a635e58e4d54aa594c552.png)
①整数集是数域;
②若有理数集Q
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b980d8446f130dfc405c196109e73ea4.png)
③数域必为无限集.
其中正确说法的序号是
您最近一年使用:0次
2021-08-14更新
|
134次组卷
|
3卷引用:江西省兴国县第三中学2020-2021学年高一上学期第一次月考数学试题
江西省兴国县第三中学2020-2021学年高一上学期第一次月考数学试题(已下线)专题03 集合的基本运算-2021-2022学年高一《新题速递·数学》(人教A版2019)宁夏青铜峡市高级中学2021-2022学年高一上学期第一次月考数学试题