名校
1 . 已知集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99dd46e001c117104353b2e41867994e.png)
,
,
,对任意
,定义
.若存在正整数
,使得对任意![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ff430dfb9275eed8c6e0cbe671a2798.png)
,都有
,则称集合
具有性质
.如集合
、
都具有性质
.记
是集合
中的最大值.
(1)判断集合
和集合
是否具有性质
(直接写出结论);
(2)若集合
具有性质
,求证:
和
;
(3)若集合
具有性质
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99dd46e001c117104353b2e41867994e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14ef42f964d02549eec898b0d3f0588e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d20e326e8f60f19e64e32c584ccfc40c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a703c80c9a9624b08ada02523257b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ff430dfb9275eed8c6e0cbe671a2798.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66ff43ffdcc8b03787a1faa6509d79c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ff430dfb9275eed8c6e0cbe671a2798.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db67bc808e5b3a6ba3f7691a50d20957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20362ac95ee78ef94caeb0579bb40bfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1baf30f84a1797c8e345c624e6cab1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36cd2052417ccb1650cc533f62273aab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e10cda3e056f1db8777f3c322165bb05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/287adcb739a4890d108dd974358345fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87b87cd94fef6e528d0913bb1b7b53de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1be13762bee8c87a904b93379c76ac8b.png)
(1)判断集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb6d9e9e68d8fa416188fe9c5efafae0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2309c5526d918b1e6d456a999ab88c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/287adcb739a4890d108dd974358345fa.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57e296d9adecd44ddd36ec145dcf9dc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67f80a1f6a8c236559e2fa55feb9ee1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/923eed4cf08e8bef3e7a61ce3ba48d62.png)
(3)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f3b97c217370c2b3d22e6738006cc2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5d5ade4406641db15a62630f06e4201.png)
您最近一年使用:0次
2022-12-26更新
|
422次组卷
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4卷引用:广西名校2024届高三高考模拟猜题试卷
广西名校2024届高三高考模拟猜题试卷上海市曹杨第二中学2021-2022学年高一上学期期中数学试题(已下线)第1章 集合与逻辑 单元测试(单元重点)--高一数学同步精品课堂(沪教版2020必修第一册)上海师范大学附属中学闵行分校2023-2024学年高一上学期期中数学试题
2 . 数列
:
满足:
.记
的前
项和为
,并规定
.定义集合
,
,
.
(Ⅰ)对数列
:
,
,
,
,
,求集合
;
(Ⅱ)若集合
,
,证明:
;
(Ⅲ)给定正整数
.对所有满足
的数列
,求集合
的元素个数的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd0c872bad2e600189aaa363bace8864.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4746aa748f575e5d289250c97ab79865.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d0a9523f2084cf17b8656c11ab1d95e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5bf3787395e2a714652e29836339a1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d341538a1a88276483c192ccce5753.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa5ac393fa1d6e785898385c6db24557.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51cf1c7fe656fb3a27d51ade754f636b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4f182073bbd9d36fcdbfbde808107a7.png)
(Ⅰ)对数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5002f030017f6f0b34a61b2e15c5a9cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c75d883636eb033325f4ac5f1d4235d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29ee5940db3eca3be22205d12bae26e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/217bd7beedf538080da855720e15fe1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52dbd64028ab37a28942a961993ad21d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a87796ee30e6c5d5e6b6285b32abe10c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21aba556a5b9e2a76eb03ed6c0ff475d.png)
(Ⅱ)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6a3f0e61a59077c1f34344c4a24a155.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cf90e68904b8191961496a629e74888.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c6838bc2b98c171302b2b813445535c.png)
(Ⅲ)给定正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19fd1ffc360f0e882f423d7f8cb2cb15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a78b3c84e7818ed70018eea40c72665.png)
您最近一年使用:0次
2018-09-01更新
|
451次组卷
|
4卷引用:广西桂林市临桂区第三中学2024届高三下学期4月月考数学试卷
广西桂林市临桂区第三中学2024届高三下学期4月月考数学试卷北京市城六区2018届高三一模理科数学解答题分类汇编之压轴创新题(已下线)2019年一轮复习讲练测【新课标版理】第一章测试卷2020届北京市东城区高三一模线上统练数学(二)试题