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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名校
2 . 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
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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
名校
3 . 已知等比数列
的公比为
,它的前
项积为
,且满足
,
,
,给出以下四个命题:①
;②
;③
为
的最大值;④ 使
成立的最大的正整数
为4031;则其中正确命题的序号为________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8141d87fb02b08c88b0c9f27f839a7d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8afceb7e30c39a68170e0a8283050c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64e8696b37c79582b9c055cd972a65ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eda6dc559d07bc22c9a0ed1e3a6d01d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c938b8696465cf9b29646512c56874ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b3f92878c2f19d2825a6b5d4f9d884e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6ae93e401b499b0e39f251279b5663c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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2020-01-08更新
|
684次组卷
|
4卷引用:上海市金山区华东师大三附中2019-2020学年高一下学期期末数学试题
名校
4 . 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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5 . 定义全集
的子集
的特征函数为
,这里
表示
在全集
中的补集,那么对于集合
,下列所有正确说法的序号是 .
(1)![](https://img.xkw.com/dksih/QBM/2015/5/18/1572112270327808/1572112276037632/STEM/e1a03c722e254e899ed8bb72bbae1438.png?resizew=160)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfadfb8c7b48eba6539b2be8f5e43f14.png)
(3)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30caa01d6b04ad5c3664b231e67bf97a.png)
(4)
![](https://img.xkw.com/dksih/QBM/2015/5/18/1572112270327808/1572112276037632/STEM/58df1002603247b69d980ddd94018215.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2015/5/18/1572112270327808/1572112276037632/STEM/aa7bd075a8904a51825641b63287e6f8.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/5/18/1572112270327808/1572112276037632/STEM/27b18d3abb1f40e4b8a9c01b6b1f6889.png?resizew=131)
![](https://img.xkw.com/dksih/QBM/2015/5/18/1572112270327808/1572112276037632/STEM/84995a2cc6e34eaeab517617d0e860cc.png?resizew=35)
![](https://img.xkw.com/dksih/QBM/2015/5/18/1572112270327808/1572112276037632/STEM/aa7bd075a8904a51825641b63287e6f8.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/5/18/1572112270327808/1572112276037632/STEM/58df1002603247b69d980ddd94018215.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2015/5/18/1572112270327808/1572112276037632/STEM/12406e6bca9643958640e1170d70ea11.png?resizew=73)
(1)
![](https://img.xkw.com/dksih/QBM/2015/5/18/1572112270327808/1572112276037632/STEM/e1a03c722e254e899ed8bb72bbae1438.png?resizew=160)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfadfb8c7b48eba6539b2be8f5e43f14.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30caa01d6b04ad5c3664b231e67bf97a.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c212d9f8d29eceee59848ed41d9c6dda.png)
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