名校
1 . 设集合
,则对任意的整数
,形如
的数中,是集合
中的元素的有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7c383b33551d66808216247988ecc9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fefcd668d795b49f39050a9374b43ff3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2019-11-02更新
|
3895次组卷
|
21卷引用:2015年全国高中数学联赛湖南赛区预赛试题
2015年全国高中数学联赛湖南赛区预赛试题2017年上海市七宝中学高考模拟数学试题人教B版(2019) 必修第一册 必杀技 第一章 专题1 集合的综合问题人教A版(2019) 必修第一册 必杀技 第一章 专题1集合的综合问题江苏省无锡市宜兴中学2020-2021学年高二上学期强基培训数学试题(已下线)专练04 集合的综合拔高练习-2021-2022学年高一数学上册同步课后专练(人版A版必修第一册)(已下线)1.2集合间的基本关系-2021-2022学年高一数学同步辅导讲义与检测(人教A版2019必修第一册)(已下线)第02讲 集合间的基本关系(教师版)-【帮课堂】2021-2022学年高一数学学同步精品讲义(人教A2019必修第一册)(已下线)第01讲 集合的概念(教师版)-【帮课堂】2021-2022学年高一数学学同步精品讲义(人教A版2019必修第一册)(已下线)第一章 集合-2021-2022学年高一数学新教材单元过关测评卷(人教A版2019必修第一册)【学科网名师堂】 广东省汕头市澄海中学2021-2022学年高一上学期第一学段考试数学试题江苏省南通市海安高级中学2021-2022学年高一10月份段测数学试题(一)安徽省蚌埠第三中学2021-2022学年高一下学期开学测试数学试题苏教版(2019) 必修第一册 突围者 第1章 全章综合检测江苏省南京市中华中学2022-2023学年高一上学期阶段性练习数学试题江苏省南通市海安市曲塘中学2022-2023学年高一上学期期初考试数学试题江苏省扬州市江都区育才中学2022-2023学年高一上学期阶段测试数学试题(已下线)期中考试押题卷(测试范围:第1~4章)-2022-2023学年高一数学新教材同步配套教学讲义(苏教版2019必修第一册)湖南省株洲市第八中学2023-2024学年高一上学期9月月考数学试题(已下线)第一章 集合与常用逻辑用语(压轴题专练)-速记·巧练(人教A版2019必修第一册)(已下线)专题1-1 集合及其运算的12种题型(2) -【巅峰课堂】题型归纳与培优练
名校
2 . 记
为偶函数,
是正整数
,
,对任意实数
,满足
中的元素不超过两个,且存在实数
使
中含有两个元素,则
的值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/650529d4aa2d38868dd2d49801843e2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ca8bdc812627d925f00ed7c145d696.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15681185bae581dd2ed65771f8daec39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
您最近一年使用:0次
2018-09-02更新
|
979次组卷
|
6卷引用:2019年一轮复习讲练测【新课标版理】1.1集合的概念及其基本运算(测)
(已下线)2019年一轮复习讲练测【新课标版理】1.1集合的概念及其基本运算(测)(已下线)2019年一轮复习讲练测【新课标版文】1.1集合的概念及其基本运算(测)(已下线)专题01 集合-2022年高考数学一轮复习小题多维练(新高考版)(已下线)专题1-1 集合-2022年高考数学毕业班二轮热点题型归纳与变式演练(全国通用)浙江省金华十校2017-2018学年高一上学期期末调研考试数学试题上海市松江二中2022-2023学年高一下学期期中数学试题
名校
3 . 将集合
的元素分成互不相交的三个子集:
,其中
,
,
,且
,
,则满足条件的集合
有__________ 个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/656ec3c5f8293b14c13e28dc0a08bcb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/982b037abf6daa6244e780698eaab951.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a784e0ba1c17aba6990123fe39b89114.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98ca6432a26e1698465decb98cfbcb52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47435a30f0dc07cd9575e5c2384d9fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49ca97c733e72b990f1ce7a39aea6510.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95efa9a4a925ae4451d75259c8a8fd8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
2018-06-29更新
|
1488次组卷
|
4卷引用:上海市格致中学2018-2019学年高三上学期暑假作业检测(开学考试)数学试题
上海市格致中学2018-2019学年高三上学期暑假作业检测(开学考试)数学试题【全国百强校】上海交通大学附属中学2017-2018学年高二下学期期末考试数学试题(已下线)专题03 集合的运算压轴题型-2021-2022学年高一《新题速递·数学》(人教A版2019)湖南省长沙市第一中学2020-2021学年高一上学期期末数学试题
名校
4 . 已知集合
,其中
,
,
.
表示
中所有不同值的个数.
(
)设集合
,
,分别求
和
.
(
)若集合
,求证:
.
(
)
是否存在最小值?若存在,求出这个最小值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb9e56ab45ddf991ae24983027e04b08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d0c23fa72e4bbbdef69895aef768c03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ef835c9ad2636a9662fb6c99e3abc78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9153fb853cd99beec9e600a4eaf73fe8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/403eef43448ff6ba342ed0ad5c4b5978.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28542a0186cd714deaa181efadff87cd.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef27cd09f4ecc055fd7e72b3b368e5df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/746a3b7cb3c7ac223c8aa0d4b93ae093.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce6942492388c0805d27db3a9b8a345.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/972fd1bc03c253c043535a8425cfabab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5675fc66a66c7cd74516987fa758984.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/403eef43448ff6ba342ed0ad5c4b5978.png)
您最近一年使用:0次
2018-03-30更新
|
574次组卷
|
4卷引用:北京市东城东直门中学2017-2018学年高三上期中数学试题
北京市东城东直门中学2017-2018学年高三上期中数学试题(已下线)数学-6月大数据精选模拟卷05(北京卷)(满分冲刺篇)北京市宣武外国语实验学校2021届高三上学期期中考试数学试题北京市海淀区教师进修附属实验学校2019~2020学年高一第二学期期中考试数学试题
名校
5 . 已知:集合
,其中
.
,称
为
的第
个坐标分量.若
,且满足如下两条性质:
①
中元素个数不少于
个.
②
,
,
,存在
,使得
,
,
的第
个坐标分量都是
.则称
为
的一个好子集.
(
)若
为
的一个好子集,且
,
,写出
,
.
(
)若
为
的一个好子集,求证:
中元素个数不超过
.
(
)若
为
的一个好子集且
中恰好有
个元素,求证:一定存在唯一一个
,使得
中所有元素的第
个坐标分量都是
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a04c8d2e5962266734b677842b1985cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcfc48f9bc23cc43085bdb910e7a136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fd012d9216e34923d1e1a5e1481483e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97ea8f47d8d8d9e1832d52b1c7425450.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d05f3a6e0d625cf73bb656dd85f666d.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d218f9864db4a589a4778fcb4d23bb32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a829fdd8ec0f3b7ede883cf2c3e53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a86c79fb771a07a413c755e4295b160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/570f38996525564d196bce79c3fef9a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a829fdd8ec0f3b7ede883cf2c3e53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8b9ad2fcfff3dd546c5fdbedfe6238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94e1862efa4931cbf76743033ad6f1e3.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30814d8d521fc3932d9215abb82afcd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/090a10ccb89e17789ec5ef5d04093c9d.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91edc7e2d4811f5ea6c01284cf00393a.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f1ad18371ec533aeac27cf1fad95c1.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94e1862efa4931cbf76743033ad6f1e3.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f1ad18371ec533aeac27cf1fad95c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c632c1dee2f3849015044acedc50bb18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
您最近一年使用:0次
2018-07-02更新
|
521次组卷
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5卷引用:卷16-【赢在高考·黄金20卷】备战2021高考数学全真模拟卷(北京专用)
(已下线)卷16-【赢在高考·黄金20卷】备战2021高考数学全真模拟卷(北京专用)北京师范大学第二附属中学2017~2018学年度第一学期期中考试高一数学试卷【全国百强校】北京市西城区北京师范大学第二附属中学2017-2018学年高一上学期期中考试数学试题北京市中国科学院附属实验学校2021-2022学年高二9月月考数学试题北京市第二十中学2020-2021学年高二上学期期期末试题
6 . 给定集合
(
且
),定义点集
,若对任意点
,存在
,使得
(
为坐标原点).则称集合
具有性质
,给出一下四个结论:
①
其有性质
;
②
具有性质
;
③若集合
具有性质
,则
中一定存在两数
,使得
;
④若集合
具有性质
.
是
中任一数,则在
中一定存在
,使得
.
其中正确结论有___________ (填上你认为所有正确结论的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0936440efb096bb9fb8f6c567cab73b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6317574b3e11a2efc0afe44741f6695.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01fd3eef2f2bb471fcd827ba9934a634.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb9ba62b434959c2053b68368901cde2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1b34032d2bb0e85d54ab3a207da7c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/278f18781e5c011deaf5490118a2c697.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3823ea5cbbcd70e29e61d1f6be797be4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abaee92e8779a3a0147a522a5966852e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a016713894e491738f302f01de001b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
③若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44b8ab477a5eca6e519b3caab1abf41d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cca27da5d722d9076a767cb2fe3aadd.png)
④若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97ea8f47d8d8d9e1832d52b1c7425450.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6ba141730fd5aae78ada1a8eb17d21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cca27da5d722d9076a767cb2fe3aadd.png)
其中正确结论有
您最近一年使用:0次
7 . 已知q和n均为给定的大于1的自然数.设集合M={0,1,2,…,q-1},
集合A={x|x=x1+x2q+…+xnqn-1,xi∈M,i=1,2,…,n}.
(1)当q=2,n=3时,用列举法表示集合A.
(2)设s,t∈A,s=a1+a2q+…+anqn-1,t=b1+b2q+…+bnqn-1,其中ai,bi∈M,i=1,2,…,n.证明:若an<bn,则s<t.
您最近一年使用:0次
2018-02-02更新
|
405次组卷
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4卷引用:2019高考备考一轮复习精品资料【理】专题一 集合的概念与运算 教学案
(已下线)2019高考备考一轮复习精品资料【理】专题一 集合的概念与运算 教学案(已下线)2019高考热点题型和提分秘籍 【理数】专题1 集合( 教学案)智能测评与辅导[文]-算法、推理与证明(复数)陕西省黄陵中学高新部2017-2018学年高一上学期期末考试数学试题
8 . 已知集合
,其中![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6d2b07ef113af3d7de279f09c03956b.png)
,
表示![](https://staticzujuan.xkw.com/quesimg/Upload/formula/059a6c5a965c335b8da05e697da2c7c2.png)
中所有不同值的个数.
(1)若集合
,求
;
(2)若集合
,求证:
的值两两不同,并求
;
(3)求
的最小值.(用含
的代数式表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4ce6be5490570923b903dd8b41af21b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6d2b07ef113af3d7de279f09c03956b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c34eab5752f27333c8764b320fe5ea92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbcbe244cf309094c2815fc3d6407125.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/059a6c5a965c335b8da05e697da2c7c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8a6fdf9a72190e86809b49ac0496f7d.png)
(1)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cdbe456b157ab21b970a5b59308125b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbcbe244cf309094c2815fc3d6407125.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f994a17ac17c60f8f287167afce4662b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/059a6c5a965c335b8da05e697da2c7c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbcbe244cf309094c2815fc3d6407125.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbcbe244cf309094c2815fc3d6407125.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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9 . 对于
的子集
,定义
的“特征数列”为
,
,
,
,其中
,其余项均为
.例如:子集
的“特征数列”为
,
,
,
,
,
,
.
(
)子集
的“特征数列”的前
项和等于__________ .
(
)若
的子集
的“特征数列”
,
,
,
满足
,
,
;
的子集
的“特征数列”
,
,
,
满足
,
,
,则
的元素个数为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1550b36bd0d1abc421a529df223f1d75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e54c671b678b9eb9bd214464da9eecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53e4c6544ede4573bd9a07d116f5cfb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/506d1ac280b71c631cd4e9b63d009ab0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0bb95534f703ac3e6328ef5be7a9f93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/584abf1e7227a4f4b435bf29f496b505.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8be646cd52d7f2f1714e7542e75810f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adad9633b73dfbbb3d84b4f15979e99e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b92cba1ed694b1a11411fa274ff7c40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e5cfb0d2cf24c1da7ba972e0218a974.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cc1a195f904c8292c2db380466d139f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eed794854ded63e016e678e467b5c6ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6268630d5e5288048d32f4aa5c8bc02d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c171ff5c2728e7cf00a88f88de14f308.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c02e55edaf83351e20283be2048b0a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d563dc363f21db86f5525ac9bc29e1e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97479eeeb877265dd63307c9460abd51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5d11e5426cf3f6332a4a7f73065e880.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4afabfd5b4885311f8d9a4bcf791b71.png)
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名校
10 . 已知数集
具有性质
:对任意的![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
,
,使得
成立.
(1)分别判断数集
与
是否具有性质
,并说明理由;
(2)求证
;
(3)若
,求数集
中所有元素的和的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/553def9cb6670ee4e7945820222f2b4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec9d63ea7a1d1bf7d003bbb54cef376f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c7dac55b4c5d1805d205fe4915f893b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1e76d1341e8e6bd89b7075150536bd.png)
(1)分别判断数集
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c0c0c967a628666433195b3c356b345.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37a3069c8accda13019e775a5dc198c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)求证
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9b8eb4d22ce4c4904a2832f31d09719.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb4af063ed97c69c5224d4152d0083ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
2018-04-02更新
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2110次组卷
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3卷引用:北京市建华实验学校2018届零模高三数学(理)试卷