解题方法
1 . 已知集合
,若
,则实数
的值可以是________ .(写出一个满足条件的值即可)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b91660ec08789bb27e383ed92b6caa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04ceb1f338fa60976229d7ec6531b626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2 . 设12元实数集合
满足:可将其划分为两个6元子集
和
,使得对每个
,均有
,则这样的
可以是______ .(写出一个即可)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab68ee11734bd89733c3064af16cea50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fe342a96adffebbb5d59c5fcfd138e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fde1b1e2b446a4db8650c9fdab83766.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff197132463fd76db478b76ed2cf653c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/908fbdc652b3cafc1f4d0b2e3ae2a094.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
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3 . 将含有
个正整数的集合
分成元素个数相等且两两没有公共元素的三个集合
,其中
,
,
,若
中的元素满足条件:
,
,
1,2, ,
,则称
为“完并集合”.
(1)若
为“完并集合”,则
的一个可能值为____ .(写出一个即可)
(2)对于“完并集合”
,在所有符合条件的集合
中,其元素乘积最小的集合是____ .
![](https://img.xkw.com/dksih/QBM/2014/12/9/1571919614574592/1571919620030464/STEM/790107ac317e4e84b002d7e1c5d9300d.png?resizew=20)
![](https://img.xkw.com/dksih/QBM/2014/12/9/1571919614574592/1571919620030464/STEM/17ee616a82e44131bea33713aba26fdb.png?resizew=21)
![](https://img.xkw.com/dksih/QBM/2014/12/9/1571919614574592/1571919620030464/STEM/d6b2b5cf9501409988209b2168346ff6.png?resizew=49)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ea7fcdb5423c1c8c032a3efcf245682.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c7bb58dca886fc65d874e2b30040c02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9cfd1398bb75618f8221abd14e97af.png)
![](https://img.xkw.com/dksih/QBM/2014/12/9/1571919614574592/1571919620030464/STEM/d6b2b5cf9501409988209b2168346ff6.png?resizew=49)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5049cefc642e08e2ba05e4f1029486de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49ca97c733e72b990f1ce7a39aea6510.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5c9c199d97b0f1c342ab2290133eabd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)对于“完并集合”
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f93d25235973603f56d262bb9165432f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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名校
4 . 已知集合
,
.设集合A同时满足下列三个条件:
①
;②若
,则
;③若
,则
.
(1)当
时,一个满足条件的集合A是__________ ;(写出一个即可)
(2)当
时,满足条件的集合A的个数为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7101a3eee1a6054a94a13c1285713bf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45020afb5156159ad42add5537797ee7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827e0933211772799f65eccd2fbce592.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cde2827722685b8a71f9aae2dc4d7484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fc1108d22143e834bd69eeb9fd8775a.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fac3649308b528fd56545ba102dc42d5.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe08722cf9300fe188dbbb71989c06c9.png)
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名校
5 . 已知
,集合
,
,
.
(1)求
;
(2)若
且
,求实数
的取值范围;
(3)记
.当
时,若集合
中有且仅有一个元素
使得
0成立,试写出满足条件的
的表达式(只需写出一个即可).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0e7acdf79d526ab736473c01b92478f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4cdc10dc31aadc9212bfa553ab0b095.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e0d7d4aea71fcf44c65ed792cbd421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25473c7106d6bd14c0917ba5e105364.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5eb15ee27fd7ce9be1495232ac68948f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/952f1e0ce5bd53a6d5e8bb07ea2da5f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52854d0ead4737302f4b4706e1f80553.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce70d3efc3f0c7dc85b7d6be9421727a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa37a9a03564be3637c64117de07da8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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名校
6 . 已知集合
,
,设集合
同时满足下列三个条件:①
;②若
,则
;③若
,则
.
(
)当
时,一个满足条件的集合
是__________ .(写出一个即可).
(
)当
时,满足条件的集合
的个数为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c2dd2c7f4bf194e5cf83eb8e01f491f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45020afb5156159ad42add5537797ee7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827e0933211772799f65eccd2fbce592.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cde2827722685b8a71f9aae2dc4d7484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fc1108d22143e834bd69eeb9fd8775a.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fac3649308b528fd56545ba102dc42d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764eff906937f9b1fb58e5abfb2eb8a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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2017-10-31更新
|
1184次组卷
|
5卷引用:专题01 条件开放型【讲】【北京版】1
名校
解题方法
7 . 对于非负整数集合
(非空),若对任意
,或者
,或者
,则称
为一个好集合.以下记
为
的元素个数.
(1)给出所有的元素均小于
的好集合.(给出结论即可)
(2)求出所有满足
的好集合.(同时说明理由)
(3)若好集合
满足
,求证:
中存在元素
,使得
中所有元素均为
的整数倍.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c36aecba41f6f5ff0d46a29dccaaf01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b8e5872f45d4b878b0119997cb5bae2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84734fbba70c0b45045fabf8090f810b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/911cdb689ca80557ce076cb49b3ee498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
(1)给出所有的元素均小于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
(2)求出所有满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e7a6d4b773d984df6fd1e0dce3adfb9.png)
(3)若好集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0fc21f14cb5d8d28f498d35606477ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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名校
8 . 我们称一个非负整数集合
(非空)为好集合,若对任意
,或者
,或者
.以下记
为
的元素个数.
(Ⅰ)给出所有的元素均小于
的好集合;(给出结论即可)
(Ⅱ)求出所有满足
的好集合;(同时说明理由)
(Ⅲ)若好集合
满足
,求证:
中存在元素
,使得
中所有元素均为
的整数倍.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c36aecba41f6f5ff0d46a29dccaaf01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b8e5872f45d4b878b0119997cb5bae2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab7b41d8dccdabd72efb3b08e573c187.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a4c1cc01a29960cd990ae81f1c80b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
(Ⅰ)给出所有的元素均小于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
(Ⅱ)求出所有满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ae181702856c0b84c4642d4ee6ee4b3.png)
(Ⅲ)若好集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9137926bb713091a948aec52b176e7ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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9 . 若集合中三个元素为边可构成一个三角形,那么该三角形一定不可能是( )
A.锐角三角形 | B.直角三角形 | C.钝角三角形 | D.等腰三角形 |
您最近一年使用:0次
2021-11-10更新
|
893次组卷
|
5卷引用:上海市上南中学2022届高三上学期教学质量检测(10月)数学试题
上海市上南中学2022届高三上学期教学质量检测(10月)数学试题(已下线)1.1 集合(精讲)-【一隅三反】2023年高考数学一轮复习(基础版)(新高考地区专用)(已下线)2.1.1 集合的含义与表示 (分层练习)-2022年初升高数学无忧衔接(已下线)专题1.1 集合的概念(7类必考点)山东省菏泽市菏泽外国语学校2023-2024学年高一上学期第一次月考数学试题
10 . 下列说法中正确的是( )
A.与定点A,B等距离的点不能构成集合 |
B.由“title”中的字母构成的集合中元素的个数为5 |
C.一个集合中有三个元素a,b,c,其中a,b,c是![]() ![]() |
D.高中学生中的游泳能手能构成集合 |
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