1 . 定义区间
,
,
,
的长度均为
,多个区间并集的长度为各区间长度之和,例如
的长度
,设
,
,其中
表示不超过
的最大整数,
.若用
表示不等式
解集区间的长度,则当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c98c59cd4749afdd21e73529fc84323.png)
________ ;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30277e0be448b4955903e81e8795e45d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1c1b4fe19a6f853f1544c3742a70d54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7d1288c575c8cdce97930bc32c423b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c5eff93f16be6ae7174deec80302d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0154ef2c3e41e405c4bcf6e57f4b107.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/164f7c44511bd68f3c00eb4478222031.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ee99b25cf39cb541a07e81a2ae43c44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d23c80f11dcb3f7537c88cbd76a1267.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2ab85825d4a002600ca41bd3cd2ee7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/575ee8b07f40772a9b87075cc609b116.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43920f5171ed31db2520ef00e4c5fc24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95fdd40d1498f9fa29754f891a6ebd98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c98c59cd4749afdd21e73529fc84323.png)
您最近一年使用:0次
2019-12-10更新
|
564次组卷
|
2卷引用:上海市七宝中学2018-2019学年高一上学期第一次月考数学试题
2 . 设
且
是E的真子集,且G具有下列两条性质:
(1)对任何
恒有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7a7d65c3eb9a864b72e1e910037102.png)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f371a552a36c776d9aeaa8bcbec7dd0d.png)
试证:G中的奇数的个数是4的倍数,且G中的所有数字的平方和为一个定数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e53401332dcc8f7f9844dbfeb401cde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16a6de9ef848053f8cfc47607e513c7c.png)
(1)对任何
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2462888fa6ea4914180d92c27d0b68dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7a7d65c3eb9a864b72e1e910037102.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f371a552a36c776d9aeaa8bcbec7dd0d.png)
试证:G中的奇数的个数是4的倍数,且G中的所有数字的平方和为一个定数
您最近一年使用:0次
18-19高一上·上海浦东新·期中
名校
3 . 已知集合
,
,集合
,且集合
满足
,
.
(1)求实数
的值;
(2)对集合
,其中
,定义由
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
,若对任意的
,总有
,则称集合
具有性质
.
①请检验集合
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
;
②试判断
和
的大小关系,并证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97b6e6193c97593e74d8488e35119d07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6228afd8854fbc3c1b05fcb0bfc5ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92f15cabdc3d05988fd14408ee71a57f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/725e7e04c2a89481457c20d6438dab0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f75ed8f6ace26756031eb3d813db6c0.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)对集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/692caeb314d16479c83b584c14b556bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c6ea62c5decc77abe0039fb6e4fd40a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b2fef18cae151fadca86595209c317c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2212c2e3f325683a2f9599a1c661ff59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.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)
![](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)
①请检验集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/709a1f33195ab62f2da488b27a219c25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c67b05f5f43a2d4371a42e65dea900.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)
②试判断
![](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
名校
4 . 对于集合
,定义函数
,对于两个集合
,定义集合
. 已知集合
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb41c7f5fd705222dbae9d0b37b377.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6a5f27a030f42302338fb5dd947542f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf158f5e8b2b5eb06dc5432824ce95b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a50803e737333db5b586113c6e11cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0893a310fb304e6a20881751806a811.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb41c7f5fd705222dbae9d0b37b377.png)
您最近一年使用:0次
5 . 已知由自然数组成的
元集合
,非空集合
,且对任意的
,都有
.
(1)当
时,求所有满足条件的集合
;
(2)当
时,求所有满足条件的集合
的元素总和;
(3)定义一个集合的“交替和”如下:按照递减的次序重新排列该集合的元素,然后从最大数开始交替地减、加后继的数.例如集合
的交替和是
,集合
的交替和为
.当
时,求所有满足条件的集合
的“交替和”的总和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aadf9ab510510120699c5eee39ab18b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68e934e8ef0a215ea403d0fb8ab06765.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf22d7d1a965bda25168a233fb6290c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af958d6c104355d6daf0d205204ec760.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a765dcf0813e4874c889a13b36a1677e.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45cf86650443d1b86c79b1e3edc7e5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294250dbd576bff3da0a1456cb9a88a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(3)定义一个集合的“交替和”如下:按照递减的次序重新排列该集合的元素,然后从最大数开始交替地减、加后继的数.例如集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455c49a0172a3459a4e1ed3928a5b9f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95c16d2edb1f3981806da56d4145f0e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d71c7e08128b830fbe9ae5dbda4c2dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e617042af0a6279d70b7b7424a61f011.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
您最近一年使用:0次
6 . 设集合
,若非空集合
同时满足①
,②
(其中
表示
中元素的个数,
表示集合
中最小元素),称集合
为
的一个好子集,
的所有好子集的个数为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f12247711394ed07a2f6a7c27f73eea8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e782887fa9cd8934bc19cc1288d5f51c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28a462820b4535b1fa5a75c7c6e9547b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc8279d9dd0b7750953cb9e2098b3b90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d9b9765625c0a2b3a7c6850983f3400.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/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
您最近一年使用:0次
2019-11-08更新
|
1045次组卷
|
6卷引用:上海市进才中学2019-2020学年高一上学期10月月考数学试题
上海市进才中学2019-2020学年高一上学期10月月考数学试题上海市宝山区行知中学2020-2021学年高一上学期期中数学试题上海市中国中学2020-2021学年高一上学期12月月考数学试题上海市复旦附中2019-2020学年高三上学期9月综合练习一数学试题(已下线)专题05 集合与常用逻辑用语压轴题型汇总-2021-2022学年高一《新题速递·数学》(人教A版2019)福建省福州市闽侯县第一中学2021-2022学年高一上学期第一次月考数学试题
7 . 用
表示非空集合
中元素的个数,定义
若
,且
,设实数
的所有可能取值构成集合
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d785b9e6898f1d203157e8ffd7771127.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ecde6ad7897b29232f03521c7df3066.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c645cd2caeca1d26ff0a36d4b78495ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a223d48812e9c99a1e124d1afe4384ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c6335658a75a4f78c17a8c7bb108121.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d785b9e6898f1d203157e8ffd7771127.png)
您最近一年使用:0次
2019-11-02更新
|
1404次组卷
|
12卷引用:上海市行知中学2019-2020学年高一上学期10月月考数学试题
上海市行知中学2019-2020学年高一上学期10月月考数学试题(已下线)上海市华东师范大学第二附属中学2016-2017年高一上学期第一次月考数学试题上海市川沙中学2017-2018学年高一上学期10月月考数学试题上海市上海师范大学附属中学闵行分校2020-2021学年高一上学期期中数学试题上海奉贤区曙光中学2020-2021学年高一上学期10月月考数学试题上海市嘉定二中2021-2022学年高一上学期期中数学试题上海市建平中学2022-2023学年高一上学期开学摸底数学试题(已下线)期中模拟预测卷02(测试范围:前三章)-2022-2023学年高一数学上学期期中期末考点大串讲(沪教版2020必修第一册)上海市杨浦高级中学2023-2024学年高一上学期期中数学试题人教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盐城市伍佑中学2020-2021学年高一上学期第一次阶段考试数学试题(已下线)专题1-1 集合及集合思想应用(讲+练)-2
8 . 设
为正整数,集合
(
),对于集合
中的任意元素
和
,记
.
(1)当
时,若
,
,求
和
的值;
(2)当
时,设
是
的子集,且满足:对于
中的任意元素
、
,当
、
相同时,
是奇数,当
、
不同时,
是偶数,求集合
中元素个数的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5e2c57ad450df9371b496030fa72cc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c365eeee68c896623c8a9f4d1a4e0f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b55f4cf8ae3e162d35f35a0fca37b28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/685b9f5b1c7a74637b819d958a90a99e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55f427dbec1548b66bd39252abef0ac4.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be604061cf1591f7069472269d4c9719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88a4a09c7dbd6fabf08ae826cef7af77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f11e21ae74457d0e5ad5504b9decfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/272ba5e58ecd8f3369b5964590d834e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a193c5c4a0476eef3339aafa9bca0e61.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fac3649308b528fd56545ba102dc42d5.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/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a193c5c4a0476eef3339aafa9bca0e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a193c5c4a0476eef3339aafa9bca0e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
您最近一年使用:0次
2019-10-01更新
|
584次组卷
|
5卷引用:上海市闵行区七宝中学2019-2020学年高一上学期9月月考数学试题
9 . 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
|
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