1 . 已知数集
,其中
,且
,若对
,
与
两数中至少有一个属于
,则称数集
具有性质
.
(1)分别判断数集
与数集
是否具有性质
,说明理由;
(2)已知数集
具有性质
,判断数列
,
,…,
是否为等差数列,若是等差数列,请证明;若不是,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ea7fcdb5423c1c8c032a3efcf245682.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77c1d125b49fe60bc9796cf7d72e9170.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcfc48f9bc23cc43085bdb910e7a136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/550e79a4d9c549c9e28bbf30f74e24d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3541598c0e0e6d5050c5a562515c430e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13ee542834ccbb57fcc55b1680ca9db.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/dad2a36927223bd70f426ba06aea4b45.png)
(1)分别判断数集
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1906b96e054c5e74d295b61149a36b4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80ef5ce9b1b2850e4a95e7c0ce44bac4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)已知数集
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7152dfaf58cc9ff3df8c3d1ac7c435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7da2f386b78cdf6489efaa2f5820d3e.png)
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名校
2 . 数字
的任意一个排列记作
,设
为所有这样的排列构成的集合.集合
任意整数
都有
,集合
任意整数
都有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b9d89f2b4a2e160458b36c8fd270c89.png)
(1)用列举法表示集合
;
(2)求集合
的元素个数;
(3)记集合
的元素个数为
,证明:数列
是等比数列.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1862403f59a94ecf2d21fe7e19d2aec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c686124767ab3c2b84470b065fcef89b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a7bc57de21efd7fa1776a01591d99a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e12df2ae8d3e915feafa1c5c21f2926e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/767965df8401842b4d727998d43a4fad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280a824d01ca8de7247b6e2ddd6fffdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72e2febfa043de68251b23704c5e420a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b9d89f2b4a2e160458b36c8fd270c89.png)
(1)用列举法表示集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f266dacf74b0a86d671a5a422f848cb9.png)
(2)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74c612f58462180705a1acfd433714a4.png)
(3)记集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63f5c583c98a1fd516c6ceaa60b55dec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
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2020-04-03更新
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712次组卷
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4卷引用:2020届北京市清华大学附属中学朝阳学校高三第一学期第二次质量检测数学试题
名校
解题方法
3 . 定义:给定整数i,如果非空集合满足如下3个条件:
①
;②
;③
,若
,则
.
则称集合A为“减i集”
(1)
是否为“减0集”?是否为“减1集”?
(2)证明:不存在“减2集”;
(3)是否存在“减1集”?如果存在,求出所有“减1集”;如果不存在,说明理由.
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfc7338b2a8a4a7d06acd6eb1b446564.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebabd7323bae39388835a33e09046c53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/669926e4732ba3eca48e018aaebe7079.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/957d41dbe52b49c3a7339e3519a3fe84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45251c3475305d50c946539a1bd6a5f8.png)
则称集合A为“减i集”
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94ed72c5ada5b4d689310406b7cef32f.png)
(2)证明:不存在“减2集”;
(3)是否存在“减1集”?如果存在,求出所有“减1集”;如果不存在,说明理由.
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2020-03-14更新
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7卷引用:重庆市西南大学附属中学校2023-2024学年2023-2024学年高二下学期3月测试数学试题
重庆市西南大学附属中学校2023-2024学年2023-2024学年高二下学期3月测试数学试题2020届北京市中国人民大学附属中学高三开学复习质量检测数学试题(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)北京市海淀区中国人民大学附属中学2023届高三下学期开学摸底练习数学试题北京市人大附中2023届高三下学期2月开学考数学试题(已下线)高一上学期期中【压轴60题考点专练】(必修一前三章)-2022-2023学年高一数学考试满分全攻略(人教A版2019必修第一册)北京市海淀区宏志中学2023-2024学年高一上学期期中考试数学试卷
名校
4 . 对于集合
,定义函数
对于两个集合
,
,定义运算
.
(1)若
,
,写出
与
的值,并求出
;
(2)证明:
;
(3)证明:
运算具有交换律和结合律,即
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6897439ed76144996f77405e800fd67b.png)
对于两个集合
![](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/42e7e34beaff39ac5d8f3c7898804380.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbefb4190e6d31cf43ce5258ebf325c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fc97700060520fb568f5aca7256b193.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cea70b4969a5494ceb845f1818c26b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0c55c7b14727415d05ed3557918ac38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff5231cb0bfedf2f963c1830adfd74aa.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/859bd72898c667a3e4c6976b6dcb020e.png)
(3)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc7d51315fcca519cb58bacd0040d7de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b4388c3b893c55b81e2b15ec4fa9d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ccff813e57fa8b0fb3649da671dc52b.png)
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2020-01-19更新
|
356次组卷
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3卷引用:北京市日坛中学2023-2024学年高一上学期12月月考数学试题
5 . 已知集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3da1622fd45abbb7c8de0c88e7956e.png)
,对于
,
,定义A与B的差为
;A与B之间的距离为
.
(I)若
,试写出所有可能的A,B;
(II)
,证明:
(i)
;
(ii)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2814197b2f57be423f756e7f5cd8c6a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d00142a30916b2c563b15d4ef4cd5c.png)
三个数中至少有一个是偶数;
(III)设
,
中有m(
,且为奇数)个元素,记P中所有两元素间距离的平均值为
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3da1622fd45abbb7c8de0c88e7956e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/855ce769f6795d1463744a0d74901fb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/932e8ec84cfecd3642e74fa987d789af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c76f1774902da4c8da18791b5a35c65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78f960a435af66d6f53c96cf5d0d7ef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2323a679e8e151769dd5dda4678de22.png)
(I)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91753ab4b8edae53e1947f25d3a0bddd.png)
(II)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5318f129bfbfca89f51c03144251ce79.png)
(i)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8513f18376e4e456b939d0f1cdb6e602.png)
(ii)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2814197b2f57be423f756e7f5cd8c6a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d00142a30916b2c563b15d4ef4cd5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ab2029064842c2c77fc20f69c402cd6.png)
(III)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2b280a6a65c9bf2f20cad5d1106080.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17bda892497cea43df67db57b4e2a07a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61a3abd64b3a560384a51e2d7c171aa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cc589d2e2848264dd6c1fdb18ae91b2.png)
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2020-04-28更新
|
725次组卷
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2卷引用:2020届北京市朝阳区六校联考高三年级四月份测试数学试题A
6 . 已知
,
或1,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6227cce99354c34b73c9e49a286348d.png)
,对于
,
表示U和V中相对应的元素不同的个数.
(Ⅰ)令
,存在m个
,使得
,写出m的值;
(Ⅱ)令
,若
,求证:
;
(Ⅲ)令
,若
,求所有
之和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31837aec92b0162a04e9f58f8262fa30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca64ef9e0c3dd14e99d113dbbe973ace.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6227cce99354c34b73c9e49a286348d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf69bf5086355a30f15078f436abcce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53864621c2e22d49665fcd192c838584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71c18b66ea7fcc351a06f6bf6483f6fc.png)
(Ⅰ)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afcec0bc8c9ba2feb834e1ad5d0e4747.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52bcfad9a2c32adbcbb4e0cd430baad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c4d9c2efd5fbc471445c9b52984ee50.png)
(Ⅱ)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a713dcfb247321b9b210164d28f2afef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53864621c2e22d49665fcd192c838584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5dc2e70c298b723c3f3b35381f53011.png)
(Ⅲ)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1abd07ce63b846e07579191990771816.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a077bff58ed914f0fef9eba2c9095224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71c18b66ea7fcc351a06f6bf6483f6fc.png)
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2016-11-30更新
|
772次组卷
|
6卷引用:北京市京源学校2017-2018学年高三十月月考数学试题
北京市京源学校2017-2018学年高三十月月考数学试题(已下线)2011届北京市丰台区高三下学期统一练习数学理卷(已下线)2013届中国人民大学附属中学高考冲刺五理科数学试卷2015届北京市第四中学高三上学期期中考试理科数学试卷(已下线)上海市华东师范大学第二附属中学2022-2023学年高一上学期开学考试数学试题(已下线)第6章 计数原理(基础、常考、易错、压轴)分类专项训练-【满分全攻略】2022-2023学年高二数学下学期核心考点+重难点讲练与测试(沪教版2020选修一+选修二)
名校
7 . 已知集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14bc24b06e0abd218044a27f597fa9e5.png)
.对于
,
,定义
与
之间的距离为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a724e5071732f90d91d468389e8e956a.png)
.
(1)写出
中的所有元素,并求两元素间的距离的最大值;
(2)若集合
满足:
,且任意两元素间的距离均为2,求集合
中元素个数的最大值并写出此时的集合
;
(3)设集合
,
中有
个元素,记
中所有两元素间的距离的平均值为
,证明
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14bc24b06e0abd218044a27f597fa9e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/855ce769f6795d1463744a0d74901fb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44f0f12e1350ca9c2a81b6c36a840365.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3bd6eccfd88084fd4b0c89c4c709d7f.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/a724e5071732f90d91d468389e8e956a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3244bd0e909db80eb9e3ea79303b8351.png)
(1)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f20f21a9d50b61dac519a3ddab539d.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b626a2cad742c6613dc283fdab1e833.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(3)设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53d7fa8a17135961c9c582f11d2e16cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1071ac8657ef1c4e1ea7e0530196298d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423cc16756424271a003917fbca775b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b67a5d723be5756086feeff090fe693.png)
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2017-04-06更新
|
962次组卷
|
2卷引用:北京市第八十中学2022届高三上学期10月月考数学试题
8 . 已知集合
,其中
,由
中的元素构成两个相应的集合:
,
.
其中
是有序数对,集合
和
中的元素个数分别为
和
.
若对于任意的
,总有
,则称集合
具有性质
.
(Ⅰ)检验集合
与
是否具有性质
并对其中具有性质
的集合,写出相应的集合
和
.
(Ⅱ)对任何具有性质
的集合
,证明
.
(Ⅲ)判断
和
的大小关系,并证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8213c48030bc2cfa88da0f2a28aca2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d807832357bea22a266e63cbd7e678a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/976ed3659749e70adb41abe4030b6ef2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/604a1abd24826ba48fe69d714b1b16d0.png)
其中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30277e0be448b4955903e81e8795e45d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
若对于任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cc020b0997a2f37b214718112b79d8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a2cacc52ffe015e828a4a5f2fe5ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(Ⅰ)检验集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e565001c699e5e221ed616dd7be2bb83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0110544a65399ad66980adc3667b8b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.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/0b68df477b3ee45ac0f725db00d465a1.png)
(Ⅱ)对任何具有性质
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bca7597aeef0ed7313f6f78b9658ea5e.png)
(Ⅲ)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
2016-11-30更新
|
3440次组卷
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11卷引用:上海市大同中学2018-2019学年高一上学期10月学情调研数学试题
上海市大同中学2018-2019学年高一上学期10月学情调研数学试题上海市复兴高级中学2021-2022学年高一上学期10月月考数学试题2007年普通高等学校招生全国统一考试理科数学卷(北京)北京东城27中学2018届高三上学期期中考试数学试题北师大附中2017-2018学年高一下学期期末数学试题1北师大附中2017-2018学年高一下学期期末数学试题2北京市第二中学2021届高三高考模拟数学试题北京市第十三中学2022届高三上学期开学考数学试题北京市朝阳区北京中学2022-2023学年高一上学期期中数学试题2007 年普通高等学校招生考试数学(理)试题(北京卷)北京名校2023届高三二轮复习 专题三 集合与数列 第3讲 集合与数列创新题
9 . 已知数集
,其中
,且
,若对
(
),
与
两数中至少有一个属于
,则称数集
具有性质
.
(Ⅰ)分别判断数集
与数集
是否具有性质
,说明理由;
(Ⅱ)已知数集
具有性质
,判断数列
是否为等差数列,若是等差数列,请证明;若不是,请说明理由.
![](https://img.xkw.com/dksih/QBM/2013/4/26/1571198307270656/1571198313226240/STEM/e1eb57f01605458d802012bb52295afd.png)
![](https://img.xkw.com/dksih/QBM/2013/4/26/1571198307270656/1571198313226240/STEM/57fd2d5dc7104869a34e39e3d262632b.png)
![](https://img.xkw.com/dksih/QBM/2013/4/26/1571198307270656/1571198313226240/STEM/cf34d047a9504ea9a91e37c2df65f6ba.png)
![](https://img.xkw.com/dksih/QBM/2013/4/26/1571198307270656/1571198313226240/STEM/da4657758e754433ba506ac9ba36e101.png)
![](https://img.xkw.com/dksih/QBM/2013/4/26/1571198307270656/1571198313226240/STEM/f9f625e2e8d8432f97979758d46b7b7d.png)
![](https://img.xkw.com/dksih/QBM/2013/4/26/1571198307270656/1571198313226240/STEM/746b9cacc50a46e8bdc90edd9f72c8b3.png)
![](https://img.xkw.com/dksih/QBM/2013/4/26/1571198307270656/1571198313226240/STEM/2934a6319c564e3dbe31614c27e48cc5.png)
![](https://img.xkw.com/dksih/QBM/2013/4/26/1571198307270656/1571198313226240/STEM/0bb4632474874f73bd7694bf9f15f58c.png)
![](https://img.xkw.com/dksih/QBM/2013/4/26/1571198307270656/1571198313226240/STEM/0bb4632474874f73bd7694bf9f15f58c.png)
![](https://img.xkw.com/dksih/QBM/2013/4/26/1571198307270656/1571198313226240/STEM/24cf49bfe8944b998b8ecd2a1b81d1ce.png)
(Ⅰ)分别判断数集
![](https://img.xkw.com/dksih/QBM/2013/4/26/1571198307270656/1571198313226240/STEM/8bd0b4dbfc684f30ab7d97f4a65f8001.png)
![](https://img.xkw.com/dksih/QBM/2013/4/26/1571198307270656/1571198313226240/STEM/0ae52e6d7bb442118748325acf9b4170.png)
![](https://img.xkw.com/dksih/QBM/2013/4/26/1571198307270656/1571198313226240/STEM/24cf49bfe8944b998b8ecd2a1b81d1ce.png)
(Ⅱ)已知数集
![](https://img.xkw.com/dksih/QBM/2013/4/26/1571198307270656/1571198313226240/STEM/a37c24d5e53146da99b77f15c5e53c26.png)
![](https://img.xkw.com/dksih/QBM/2013/4/26/1571198307270656/1571198313226240/STEM/24cf49bfe8944b998b8ecd2a1b81d1ce.png)
![](https://img.xkw.com/dksih/QBM/2013/4/26/1571198307270656/1571198313226240/STEM/96b2f74824ac465a891939ba6e6047f0.png)
您最近一年使用:0次
2016-12-03更新
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460次组卷
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3卷引用:2015届天津市第一中学高三上学期第二次月考文科数学试卷