1 . 大数据时代,需要对数据库进行检索,检索过程中有时会出现笛卡尔积现象,而笛卡尔积会产生大量的数据,对内存、计算资源都会产生巨大压力,为优化检索软件,编程人员需要了解笛卡尔积.两个集合
和
,用
中元素为第一元素,
中元素为第二元素构成有序对,所有这样的有序对组成的集合叫作
与
的笛卡儿积,又称直积,记为
.即
且
.关于任意非空集合
,下列说法错误的是( )
![](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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.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/8df69c6a544f62a016490b012c353ae7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/784d55bc4f1281fb3b55423962902d1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c6987f9dd9d44330dd40d466415d0a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cf3e0b675a2b6f949579e04ff50e150.png)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() |
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2 . 设
,
,若
,则实数
的值可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/964e461b0fcf322a40fc4479e0018af7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/619d90176a76cf9f5625c247966db0d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbbe46a98a8fdebfc46fcbc45dc88e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.0 | B.![]() | C.4 | D.1 |
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3 . 设集合
,
,若
,则
的值可以为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28266658454aa0cec1c243587dad9fce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f9e34dc95ad386af8327c1814bc1012.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbbe46a98a8fdebfc46fcbc45dc88e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.1 | B.0 | C.![]() | D.![]() |
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4 . 下列结论正确的是( )
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() |
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5 . 已知非空集合
,
,
均为
的真子集,且
.则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
A.![]() | B.![]() ![]() | C.![]() ![]() | D.![]() |
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2024·全国·模拟预测
6 . 设集合
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cc57e7be226af067c05b4edcb0ea2a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e33f4b0aa29195fdbbfa6ced52dbb47.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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7 . 若集合
含有
个元素,则称
为
元集,
的子集中含有
个元素的子集叫做
的
元子集.已知集合
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b8efd2f8884ae8c029728ffee11bf3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfc03ec3d78487844b44cd273efc9188.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb08c3c3a2c1752a0b4b1248da28d203.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() ![]() |
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8 . 设集合
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bfd8726cdfa88a566b897ae6962f1a2.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
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2024-04-18更新
|
815次组卷
|
3卷引用:甘肃省定西市2023-2024学年高三下学期教学质量统一检测数学试题
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9 . 已知集合
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f9dbc92145ab668219841eef71c9854.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-04-13更新
|
587次组卷
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2卷引用:吉林省吉林地区普通高中2024届高三第三次模拟考试数学试题
10 . 已知集合
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b0aea5d43477d67776f61977c31cfb5.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-03-21更新
|
633次组卷
|
4卷引用:辽宁省辽阳市2023-2024学年高三下学期第一次模拟考试数学试卷