名校
1 . 对于集合
,
,我们把集合
叫作集合
与
的差集,记作
.例如,
,
,则有
,
.下列说法正确的是( )
![](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/5f1edcef413699279368278d2e0a0187.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/5e9e460c144f7a2141d2df0308b125f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96dafddb1b50381e4d708c3954dd7f7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/038e3796c6941dc180342d81ea0d4470.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1424aa5a657545d28f611dc62346947.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8169a2313e183b2ab355e172376098bd.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() |
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6卷引用:河南省洛阳市第一高级中学2023-2024学年高一上学期期中达标数学测评卷(B卷)
名校
解题方法
2 . 设集合
含有
,1两个元素,
含有
,2两个元素,定义集合
,满足
,
且
,则
中所有元素之积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4886a0297bf379db51e06d7020051f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa273c6bf06db59f93c900e6bf8eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/949c0be52082aed7e1fecd109f92aebf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/318d4904b438f18fc1c156875bc39158.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4886a0297bf379db51e06d7020051f0.png)
A.![]() | B.![]() | C.8 | D.16 |
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2023高一·江苏·专题练习
解题方法
3 . 已知
是非空集合,定义运算
且
,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c643e6671f5e0d30ecd92a3d15ca888e.png)
________ ,
_______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a395870f77df4005141e9e4d72751fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09bb7c317f907cd7fda5ae49b24f2d41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df5774ca537bfcff314fc5393c749f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95b656556017bad9cddbb02f88137f8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c643e6671f5e0d30ecd92a3d15ca888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b82c3e5efacd32af8c0442cf3d6f1c2.png)
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名校
4 . 非空集合
具有下列性质:①若
,则
;②若
,则
.下列选项正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e13a814f8e081078dcf3788177affcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4970b63e04ae03e833bdb95bd52e8c10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e13a814f8e081078dcf3788177affcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/957d41dbe52b49c3a7339e3519a3fe84.png)
A.![]() | B.![]() |
C.若![]() ![]() | D.若![]() ![]() |
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5 . 当
时,若
,且
,则称
为
的一个“孤立元素”,由
的所有孤立元素组成的集合称为
的“孤星集”,若集合
的孤星集为
,集合
的孤星集为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d7bab5c9e0c5d09cfe76979f397045b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bbcd2a731f4d4c2ac74d83c18868f57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57426d185f0ab2ce4d9bf9eaf968c8de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1da895d8bd043625a0839128252130d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/016902b9ee5cc7ce398a8e5f11609037.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28b1ba4307cfde9b424d468bfcdf6c5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d66205a60e790906b04f08ab7ab2d8c9.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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|
120次组卷
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2卷引用:辽宁省辽东教学共同体2023-2024学年高一上学期10月联考数学试题
名校
6 . 当一个非空数集
满足“如果
,则
,
,
,且
时,
”时,我们称
就是一个数域,以下四个关于数域的命题:
①0是任何数域的元素;②若数域
有非零元素,则
;
③集合
是一个数域;④有理数集是一个数域.
其中假命题的个数是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c9cbad1e8b405feac6e8fe403f024b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f2416d1f75a45a314331146550832e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6682358a32a44b939d303b912998f970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03b011f69dfc5262a3d82f64676739b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/598bdf5066bfd59863cae8b341682882.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
①0是任何数域的元素;②若数域
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/086a1748e7f88926aec9c9af25829044.png)
③集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d90d3d60194ee990fdac4f54e19a36a9.png)
其中假命题的个数是( ).
A.0 | B.1 | C.2 | D.3 |
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7 . 已知集合
,定义运算
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cca8aabd41bc674dda4e332f794db846.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ddf2d8a3d936be9708bf4cdef291017.png)
A.![]() |
B.若![]() ![]() |
C.若![]() ![]() ![]() |
D.![]() |
您最近一年使用:0次
名校
8 . 设集合
,
,把
的所有元素的乘积称为
的容量(若
中只有一个元素,则该元素的数值即为它的容量,规定空集的容量为0).若
的容量是奇(偶)数,则称
为
的奇(偶)子集,若
,则
的所有偶子集的容量之和为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1ac637f2882f63421393210060c3ebb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dbd65a545df6c8bef13d808159c6816.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be604061cf1591f7069472269d4c9719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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2023-10-17更新
|
64次组卷
|
4卷引用:浙江省台州市蓬街私立中学2023-2024学年高一上学期第一次月考数学试题
浙江省台州市蓬街私立中学2023-2024学年高一上学期第一次月考数学试题湖北省武汉市华中科技大学附属中学2021-2022学年高一上学期10月月考数学试题浙江省温州市平阳县佳诚高级中学2022-2023学年高一上学期9月第一次月考数学试题(已下线)考点3 与集合相关的新定义问题 --2024届高考数学考点总动员【练】
9 . 对非空有限数集
定义运算“
”:
表示集合
中的最小元素.现给定两个非空有限数集
,定义集合
,我们称
为集合
之间的“距离”,记为
.现有如下四个命题:
①若
,则
;②若
,则
;
③若
,则
;④对任意有限数集
,均有
.
其中,真命题的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e008ee8b0dc593ce21d8d4c87afef1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc5129d539e4d384723bedf3750aafa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f3c9f539eb912c905c773d6162da541.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65d51777d3fca1ee8f588a6c39190dae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5ebfda261c4a27e1fa2ee5fc6d4bdfb.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4f3a22252eccc3cb92941b2dbeac22a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b611eb6a944cf762c22f21dd0a9d8a63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37349d01f56ebc2b889ed543d56857d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb02f2a17ded6c7cee6ed0dd30a54dc0.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b611eb6a944cf762c22f21dd0a9d8a63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40d5e131bfa717cd28891ac1df3c3319.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/436e64ee2674173fa579a8fc76612584.png)
其中,真命题的个数为( )
A.0 | B.1 | C.2 | D.3 |
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2卷引用:广东省深圳市光明区高级中学2023-2024学年高一上学期10月月考数学试题
10 . 已知集合.
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)定义
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1c3880c63ce7b6d63d2e750e769a3a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4e10255d9c38c5db2be76d20e809acb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e9e460c144f7a2141d2df0308b125f2.png)
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2023-10-16更新
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6卷引用:山东省泰安市泰山中学2023-2024学年高一上学期10月月考数学试题
山东省泰安市泰山中学2023-2024学年高一上学期10月月考数学试题山东省淄博市张店区淄博中学2023-2024学年高一上学期10月月考数学试题福建省龙岩市永定区侨育中学2023-2024学年高一上学期第一次阶段考试数学试题 云南省昆明市第三中学2022-2023学年高一上学期第一册综合测试数学试题福建省宁德市古田县第一中学2022-2023学年高一上学期第一次月考数学试题(已下线)第一章 集合与常用逻辑用语(单元检测)-【同步题型讲义】(人教A版2019必修第一册)