2024高一上·全国·专题练习
1 . 已知集合
.
(1)若
,
为常数
,求实数m的取值范围.
(2)若
,
为常数
,求实数m的取值范围.
(3)若
为常数
,是否存在实数m,使得
?若存在,求出m的值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67dcc68b18516190999a16476563d5c5.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf22d7d1a965bda25168a233fb6290c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90c7d0030bf82f359f80fca92cd45c70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ca8bdc812627d925f00ed7c145d696.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90c7d0030bf82f359f80fca92cd45c70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ca8bdc812627d925f00ed7c145d696.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90c7d0030bf82f359f80fca92cd45c70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ca8bdc812627d925f00ed7c145d696.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a70d32c64918aa4d1d9d3ce0bdbf7b.png)
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2024高三·全国·专题练习
解题方法
2 . 设集合
,是否存在实数
,使
?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75bebf10a62d627cd025c5de30609d08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a70d32c64918aa4d1d9d3ce0bdbf7b.png)
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2023高一·上海·专题练习
3 . 设
,
,
是由三个整数组成的非空集,已知对于1、2、3的任意一个排列i、j、k,如果
,
,则
,证明:
,
,
中必有两个集合相等.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0579e226c924b11043c7f5301cb9557e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/036cde24aee4c56ce722aaffce48e520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/229ed0001e0265c506b51695b136bf71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
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2023高一·江苏·专题练习
4 . 由三个数
,
,1组成的集合与由
,
,0组成的集合中的元素相同,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c6ce02259a85ea191541f4a708738f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8cc0b4997cae4d8aec791a1d3923314.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44f06d17e5ee5bed83f18c2a3a58f60a.png)
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2023高一·江苏·专题练习
5 . 已知集合A有三个元素:
,
,
,集合B也有三个元素:0,1,x.
(1)若
,求a的值;
(2)若
,求实数x的值;
(3)是否存在实数a,x,使集合A与集合B中元素相同?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05de636879810855dab27451897e858e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/272f801e4afe574af5706f49868941d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c17c63e7642f30be29dc6d99bcf6aa9.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69ffc521281e9158bfdf9b101c772934.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69453dede21c01d9e13806cb0a2951e5.png)
(3)是否存在实数a,x,使集合A与集合B中元素相同?
您最近一年使用:0次
名校
解题方法
6 . 已知
为实数数组,定义集合
,给定正整数m,若
,则称A为
连续生成数组.
(1)判断
是否为
连续生成数组?是否为
连续生成数组?说明理由;
(2)若
为
连续生成数组,求
的值,并说明理由;
(3)数组
是否为
连续生成数组?说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5ae7c0278483549695d65b1faf5d856.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a9856e71c2235898b9ae8dd5b511df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66383c85540d787a9554f881e2599383.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb654dbe976f077495105b21b7963d0f.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4527a28b17b82e1a9c4036294529ba6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3071dd7848459f70f912d758466b12b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6da92a00c5e0121accc325e50f6492fe.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59b94c86d13f5934d26b946c119e28f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6da92a00c5e0121accc325e50f6492fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)数组
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5ae7c0278483549695d65b1faf5d856.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/105a4a76bb426a85ba65255ded2147f3.png)
您最近一年使用:0次
名校
解题方法
7 . 已知集合
,
.
(1)是否存在正实数a使集合A,B相等?若能,求出a的值,若不能,试说明理由;
(2)若命题p:
,命题q:
且p是q的充分不必要条件,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c23766e2c4d599b5c995f57bcae95fc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25b8845a2569ede06b24888a19b3bd28.png)
(1)是否存在正实数a使集合A,B相等?若能,求出a的值,若不能,试说明理由;
(2)若命题p:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
您最近一年使用:0次
名校
解题方法
8 . 设集合
,
,
.
(1)若
,求实数
的值;
(2)若
且
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d99a4a3f2cea8576bd1c5259dadf95c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11c8b2ff6eb65276a49a058a7942a7d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30adc9a65ee9d63e05041908a98e9269.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d863dc7fbb5ef32811354df8f0be5c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a837165ca03f9e4ea8964979c95e3bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3846a59e71d1aba0909dc4452aeed8e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c29cd450d0feaea9acb27a60430f4a3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-09-26更新
|
252次组卷
|
6卷引用:专题01 集合及其运算2-【寒假自学课】(苏教版2019)
2023高一·全国·专题练习
9 . 已知集合
,
.若
,求实数
的值;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b053401797cebb88aecb12cbc69802d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2ca831a8bc445c4d93bb795ba06e721.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a70d32c64918aa4d1d9d3ce0bdbf7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
10 . 指出下列各组集合之间的关系:
(1)
,
;
(2)
,
;
(3)
,
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9eaf909da2ee7504f9708c6e38c6643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b2d860a12233810a451c2f8bd131ed.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eae90905d81e8d4970de5e838fc4e14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a781246cae57732b1cb44ef284b29b6a.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2597434af869e21e884d7284ad3dc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d0c8123d074e7b361c92f410afb262f.png)
您最近一年使用:0次