名校
1 . 对正整数
,记
,
.
(1)用列举法表示集合
;
(2)求集合
中元素的个数;
(3)若
的子集
中任意两个元素之和不是整数的平方,则称
为“稀疏集”.证明:存在
使得
能分成两个不相交的稀疏集的并集,且
的最大值为14.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/477ac10cc039be2d2a06fad831fa523f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5d7155d7bd00e29d2e9324a8845735b.png)
(1)用列举法表示集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797e67927616b141ed7c6b83f8b6f4fb.png)
(2)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb82d62ae6889a177c70d3adf8a91056.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf83e20035c3afd6d26ebfd53d768a70.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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf83e20035c3afd6d26ebfd53d768a70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
2021-10-17更新
|
959次组卷
|
6卷引用:湖南省岳阳市2022-2023学年高一下学期期中数学试题
湖南省岳阳市2022-2023学年高一下学期期中数学试题(已下线)难关必刷01集合的综合问题(3种题型30题专项训练)-【满分全攻略】(沪教版2020必修第一册)上海市大同中学2021-2022学年高一上学期10月月考数学试题(已下线)1.1 集合的运算(第4课时)上海市青浦高级中学2022-2023学年高一上学期期中数学试题(已下线)第1章 集合与逻辑(基础、典型、新文化、压轴)分类专项训练-2022-2023学年高一数学考试满分全攻略(沪教版2020必修第一册)
名校
2 . 已知集合
,其中
.对于
,
,定义
与
之间的距离为
.
(1)记
,写出所有
使得
;
(2)记
,
、
,并且
,求
的最大值;
(3)设
,
中所有不同元素间的距离的最小值为
,记满足条件的集合
的元素个数的最大值为
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d9b434ed11c614630ad6a71bf1b196.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53422543e9a9311416faf749bdda67b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec1a7c3713945abc4eca8485945abf32.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/80ebc8c7e32c1b561a908a36cfa2cbb5.png)
(1)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de36ac74e2640a897dedd876abcb63b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/644d2ee36439bbc01fb4f35e9d24e5bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cf15320a185c13d59087e9391485612.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d089503d05901e02113c0ed0bd59dff8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81a3b20462ba83086d0711a25ed83bad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8b9dbb9c52862ac974003241d68fb61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3bcb4828b16c8e845492f1a53ddd9a9.png)
(3)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/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ff60dcf2b1b2484b1ba940af96d336c.png)
您最近一年使用:0次
2021-05-30更新
|
1166次组卷
|
3卷引用:第01节 集合(好题帮)
名校
3 . 已知数集
.如果对任意的i,j(
且
),
与
两数中至少有一个属于A.则称数集A具有性质P.
(1)分别判断数集
是否具有性质P,并说明理由:
(2)设数集
具有性质P.
①若
,证明:对任意
都有
是
的因数;
②证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a988803f3881afaa6e10917f0c53cc32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31ae331839bce8f3c14d7efd7f9d8915.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cded4b2983d8d1ab4c093e5334c6aee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f52783e7a39f438adf08ef7d05d8c78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf9fc9e8c9940547678ff7934363f52.png)
(1)分别判断数集
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db366f386796ab7dfd5f3b9a9903d404.png)
(2)设数集
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e21111c1f93a2d3be25d33acbfe008c3.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0e868355fb99c713842d39a1689a8d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52c5d1969a8e26392e7e947b8279154c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50a272adba0f1120109824440f0e252c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
②证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed6f5e1411e8bc6bc938a9b84929ff2.png)
您最近一年使用:0次
2021-05-10更新
|
1164次组卷
|
3卷引用:北京卷专题02集合(解答题)
4 . 已知有限集X,Y,定义集合
,
表示集合X中的元素个数.
(1)若
,求集合
和
,以及
的值;
(2)给定正整数n,集合
,对于实数集的非空有限子集A,B,定义集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e37a871acf4ef1e04a263c9853fcd65.png)
①求证:
;
②求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ba9bcb197733a88bfdb5bb1b5130599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37765d2927d24d4b582423c843aebcd4.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee1fa3b3436a4fd2831ba0744a2719e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/342692a3b8e153aeb34f6445ec4aa9ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0458b272460fe68e6ec4090a5871360c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ec2317a8d6cd187a28bbb6debd844e.png)
(2)给定正整数n,集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d878c148fbe54dd59228fbf86eeb80ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e37a871acf4ef1e04a263c9853fcd65.png)
①求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/957226dea58372153eb11e5a198285a4.png)
②求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d03ae714bb01eb8c5b29c077d8b3def.png)
您最近一年使用:0次
2021-05-06更新
|
1074次组卷
|
5卷引用:北京卷专题02集合(解答题)
名校
5 . 设
为正整数,若
满足:①
;②对于
,均有
;则称
具有性质
.对于
和
,定义集合
.
(1)设
,若
具有性质
,写出一个
及相应的
;
(2)设
和
具有性质
,那么
是否可能为
,若可能,写出一组
和
,若不可能,说明理由;
(3)设
和
具有性质
,对于给定的
,求证:满足
的
有偶数个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ac19e2a797cd0a408316988a63b3755.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75ef0754416009fd2d5564c75bfc4cf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ca6bd838c2d2ee476661795124aedae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/937c09d82c480e4d67f8a48d3f66c5f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8ed8bcecf6762164c9f8894942d5083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6af70015e47edd3f7eeb441645283c6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75ef0754416009fd2d5564c75bfc4cf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/353e9a50a9c5fd00f386dad71228aa55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d379053d28abe93a8c937f4383906436.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8f449a982c08087cb2e1408906468ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b34978dec9ff799965824d9c1c99717e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e8147ecded7df76c941673ac8251b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7204d924d34fc81911de26a460b252.png)
(2)设
![](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/19305744dcc72ca3997f9bc0dcdfb5d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7204d924d34fc81911de26a460b252.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e422fdd219db84761945e297fffb86a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
(3)设
![](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/6af70015e47edd3f7eeb441645283c6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94ff4e04771ba1a0b4ac983c0a2a2734.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
您最近一年使用:0次
2021-04-07更新
|
1459次组卷
|
6卷引用:北京卷专题02集合(解答题)
北京卷专题02集合(解答题)北京市东城区2021届高三一模数学试题(已下线)专题04 集合中的压轴题(二)-【尖子生专用】2021-2022学年高一数学考点培优训练(人教A版2019必修第一册)(已下线)第一章 集合与常用逻辑用语(A卷) -2021-2022学年高中数学必修第一册课时解读与训练(人教A版2019)(已下线)第1章 集合与常用逻辑用语(基础、典型、新文化、压轴)分类专项训练-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)北京市顺义区杨镇第一中学2024届高三下学期3月检测数学试题
名校
解题方法
6 . 已知集合
中的元素都是正整数,且
,集合
具有性质
:对任意的
,且
,都有
.
(1)判断集合
是否具有性质
;
(2)求证:
;
(3)求集合
中元素个数的最大值,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ea7fcdb5423c1c8c032a3efcf245682.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f5f2024c63910786f10e6520a775fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e13a814f8e081078dcf3788177affcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a11a069688e4c797fcf527eab15afa82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/894271881878cff367d6dee01153fde1.png)
(1)判断集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36cd2052417ccb1650cc533f62273aab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd5a1fac2ea1080bed5e13925c6c3096.png)
(3)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
名校
7 . 已知集合
,
,
,
,其中
.定义
,若
,则称
与
正交.
(1)若
,写出
中与
正交的所有元素;
(2)令
若
,证明:
为偶数;
(3)若
且
中任意两个元素均正交,分别求出
时,
中最多可以有多少个元素.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce0a422a1f3b4197761a32eea75e5f65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/984c76feb97fd60961042a5a0490042e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a4d0cff6698ac42bb2158babd15b20c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e7cf6c3ef21af43bd1b4b9ce9ad5721.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c015c9a3f30d0be75666375733ea35cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e2e64804787fb0b18a3d8eee3570578.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4157967918cabbed7f5d82a291cc262f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80721f50d5063cb9f835ea6fc6870285.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a27db54d88c391992ad9cbc65ef509e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22111b1f07e7873e5a156d1937eaac27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d671185c2cc9c5d88029e04f4b2ccf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67aadad8f385811fd0d0c8541007cbf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
2020-11-15更新
|
797次组卷
|
3卷引用:北京卷专题02集合(解答题)
名校
8 . 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)
您最近一年使用:0次
2020-04-03更新
|
712次组卷
|
4卷引用:北京景山学校远洋分校2023届高三上学期1月期末综合检测数学试题
名校
解题方法
9 . 设![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f4d1249a24300ebfc3d0219f5bb4d06.png)
是由
组成的
行
列的数表(每个数恰好出现一次),
且
.若存在
,
,使得
既是第
行中的最大值,也是第
列中的最小值,则称数表
为一个“
数表”
为数表
的一个“
值”,对任意给定的
,所有“
数表”构成的集合记作
.
(1)判断下列数表是否是“
数表”.若是,写出它的一个“
值”;
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9578b9d3e9f25d56b3cff92c362b7b9a.png)
(2)求证:若数表
是“
数表”,则
的“
值”是唯一的;
(3)在
中随机选取一个数表
,记
的“
值”为
,求
的数学期望
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f4d1249a24300ebfc3d0219f5bb4d06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0855b859cea85c928dceeb703492eec2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92ffc57987e8ce6bd4e034d3fa0d8b50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1505d56f0b35fe7f2de1fe1888036e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ef835c9ad2636a9662fb6c99e3abc78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68f01cfc245e926581bdb125e0fba733.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4ba1bbe411bc71bca016d3fd82352f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7600d2cfbdc6146db96cc545706004f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b9e05eb5996d4c94049f6f5fa7d16e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4ba1bbe411bc71bca016d3fd82352f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b9e05eb5996d4c94049f6f5fa7d16e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b9e05eb5996d4c94049f6f5fa7d16e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e00d8f90655e6341907aa9c7c62d4398.png)
(1)判断下列数表是否是“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b9e05eb5996d4c94049f6f5fa7d16e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b9e05eb5996d4c94049f6f5fa7d16e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7472089f40e32910ce97be398e3f2948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9578b9d3e9f25d56b3cff92c362b7b9a.png)
(2)求证:若数表
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b9e05eb5996d4c94049f6f5fa7d16e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b9e05eb5996d4c94049f6f5fa7d16e8.png)
(3)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2374064abe447ef286f69df90397abe.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/6b9e05eb5996d4c94049f6f5fa7d16e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc79c66ebaacd709ec9965b90a22b14.png)
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2018-04-14更新
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2卷引用:北京市东城区广渠门中学2024届高三上学期12月月考数学试题