名校
1 . 命题“对任意的
,总存在唯一的
,使得
”成立的充分必要条件是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c395021157c73ac8dcde32864f7e121.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b97ab84192e12bb292bc9fbd0b29fbee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65a875225483b087cc5dceb151deddd4.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-03-03更新
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5卷引用:湖南省长沙市明德中学2023-2024学年高一下学期开学考试数学试卷
名校
解题方法
2 . 已知集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc73b42b101b9194f0aff176b3c637de.png)
(1)判断8,9,10是否属于集合A;
(2)已知集合
,证明:“
”的充分条件是“
”;但“
”不是“
”的必要条件;
(3)写出所有满足集合A的偶数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc73b42b101b9194f0aff176b3c637de.png)
(1)判断8,9,10是否属于集合A;
(2)已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ea688795849040c6acaee3ee2f046fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
(3)写出所有满足集合A的偶数.
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36卷引用:江苏省南通市如皋市2021-2022学年高一上学期期初调研数学试题
(已下线)江苏省南通市如皋市2021-2022学年高一上学期期初调研数学试题上海市行知中学2019-2020学年高一上学期10月月考数学试题上海市七宝中学2015-2016学年高一上学期期中数学试题(已下线)第2章 单元检测(练习)-2020-2021学年上学期高一数学同步精品课堂(新教材苏教版必修第一册)(已下线)第一章 集合与常用逻辑用语(提分小卷)-【单元测试】2021-2022学年高一数学尖子生选拔卷(人教A版2019必修第一册)(已下线)第一章测试题-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1章 集合与常用逻辑用语 章末测试(提升)-2021-2022学年高一数学一隅三反系列(人教A版2019必修第一册)(已下线)第1章 集合与常用逻辑用语(强化篇)-2021-2022学年高一数学单元过关卷(人教A版2019必修第一册)(已下线)第2课时 课后 集合间的基本关系(已下线)第一单元 (综合培优)集合与常用逻辑用语 B卷-【双基双测】2021-2022学年高一数学同步单元AB卷(人教A版2019必修第一册)(已下线)第二章 常用逻辑用语(单元测试)-【上好课】2021-2022学年高一数学同步备课系列(苏教版2019必修第一册)(已下线)第04讲 充分条件与必要条件(教师版)-【帮课堂】2021-2022学年高一数学同步精品讲义(人教A版2019必修第一册) (已下线)第二章 常用逻辑用语核心专项练习-【提升专练】2021-2022学年高一数学新教材同步学案+课时对点练(苏教版2019必修第一册)辽宁省朝阳市凌源市2021-2022学年高一上学期第一次联考数学试题辽宁省实验中学2021-2022学年高一上学期10月月考数学试题(已下线)专题2.3 常用逻辑用语 章末检测3(难)-【满分计划】2021-2022学年高一数学阶段性复习测试卷(苏教版2019必修第一册)(已下线)第02练 常用逻辑用语-2022年【寒假分层作业】高一数学(苏教版2019必修第一册)第2章 常用逻辑用语(章末测试提高卷)-2021-2022学年高一数学同步单元测试定心卷(苏教版2019必修第一册)(已下线)第2章 常用逻辑用语综合测试-【暑假自学课】2022年新高一数学暑假精品课(苏教版2019必修第一册)第2章 常用逻辑用语 单元综合检测(重点)第2章 常用逻辑用语 单元综合测试卷黑龙江省哈尔滨市第九中学校2022-2023学年高一上学期9月月考数学试题北京市第十一中学2022-2023学年高一上学期10月阶段性调研考试数学试题广东省广州市番禺区大龙中学2022-2023学年高一上学期10月月考数学试题(已下线)第04讲 常用逻辑用语(3大考点)(2)沪教版(2020) 一轮复习 堂堂清 第一单元 综合练习(已下线)1.4.1充分条件与必要条件(分层作业)-【上好课】(已下线)第03讲 充分条件与必要条件(2大考点9种解题方法)(2)(已下线)1.2 常用逻辑用语-高一数学同步精品课堂(沪教版2020必修第一册)山东省鄄城县第一中学2023-2024学年高一上学期9月月考数学试题(已下线)高一上学期期中考试解答题压轴题50题专练-举一反三系列陕西省西安市高新一中2023-2024学年高一上学期第一次月考数学试题(已下线)上海市华东师范大学第二附属中学2023-2024学年高一上学期10月月考数学试题(已下线)第一章 集合与逻辑(压轴题专练)-速记·巧练(沪教版2020必修第一册)上海市民办文绮中学2023-2024学年高一上学期期中数学试题广东省江门市江门一中2023-2024学年高一上学期第一次段考数学试题
3 . 记无穷数列
的前n项中最大值为
,最小值为
,令
.
(1)若
,请写出
的值;
(2)求证:“数列
是递增的等差数列”是“数列
是递增的等差数列”的充要条件;
(3)若
,求证:存在
,使得
,有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ddad3d9fdb5e9951b6a1c31f9a72a71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0a625b91e0eba33b107550ee2a1e2f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/293570f1284f5161d0c9e83c1aef7777.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d207b73fd6b888db038e3e0d17383958.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a447e5baee4f7518706498d4aca7553b.png)
(2)求证:“数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f95a1e259bc8ae8f932a8743d63fc37d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf5776ec7059c208daf01ca48a34915.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49684a3fb6e58fe4471f000528353656.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ac212ee4717d64901197c1a0a734f60.png)
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2卷引用:北京市第八十中学2024届高三下学期开学考试数学试卷
4 . 已知定义域为的函数
满足:(1)对任意
,
恒成立;(2)当
时,
,则下列选项正确的有( )
A.对任意![]() ![]() |
B.函数![]() ![]() |
C.存在![]() ![]() |
D.函数![]() ![]() ![]() ![]() |
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3卷引用:湖南省长沙市第一中学2023-2024学年高一下学期开学自主检测数学试卷
湖南省长沙市第一中学2023-2024学年高一下学期开学自主检测数学试卷湖北省武汉市部分重点中学2022-2023学年高一上学期期末联考数学试题(已下线)第三章 函数的概念与性质(压轴题专练)-速记·巧练(人教A版2019必修第一册)
名校
解题方法
5 . 若实数数列
满足
,则称数列
为
数列.
(1)请写出一个5项的
数列
,满足
,且各项和大于零;
(2)如果一个
数列
满足:存在正整数
使得
组成首项为1,公比为
的等比数列,求
的最小值;
(3)已知
为
数列,求证:
为
数列且
为
数列”的充要条件是“
是单调数列”.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4cd04c0ff2844105bc4486b5a900ef9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4da8d81786807287d2101b3fd4699a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(1)请写出一个5项的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5002f030017f6f0b34a61b2e15c5a9cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2750dc9a0ad9b327da7a92f524cb90f.png)
(2)如果一个
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b158dfcb45253a4421f2742ac81cd08d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/502266dd0d7fc16762e2eea895fb19a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cb2eadbfbedd46b5ea213da4d950b17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f1b84c660a03ac3c99d2f129d6b3bc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ac6d57306a71e64529ca4b8f2edeb38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e2a75b4bd3940642d93bda6a99f1b87.png)
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6 . 若有穷数列
且
满足
,则称
为M数列.
(1)判断下列数列是否为M数列,并说明理由;
① 1,2,4,3.
② 4,2,8,1.
(2)已知M数列
中各项互不相同. 令
,求证:数列
是等差数列的充分必要条件是数列
是常数列;
(3)已知M数列
是
且
个连续正整数
的一个排列.若
,求
的所有取值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adc976debe187e9d6162766e99d5beba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04aa91499257c87478609c5987cd60b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb8bafccc3590fb8dcce1b717d372d90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(1)判断下列数列是否为M数列,并说明理由;
① 1,2,4,3.
② 4,2,8,1.
(2)已知M数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d5cbea2c988187a8508c96e4bc7fe7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c320a0619c63a5b650a1a94c0a5679.png)
(3)已知M数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4caa2af970b457b1e7ee17132c860b5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae12372b9477473e5541f879e13ccc28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc6c18eaf2f4309e6a014a1100c2380f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e8a0c49920d0d91486915755f7ff6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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|
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4卷引用:北京市首都师范大学附属中学2022届高三下学期开学检测数学试题
北京市首都师范大学附属中学2022届高三下学期开学检测数学试题北京市丰台区2022届高三上学期数学期末练习试题北京市东直门中学2023届高三上学期期中考试数学试题(已下线)专题22 新高考新题型第19题新定义压轴解答题归纳(9大题型)(练习)
名校
解题方法
7 . 已知集合
的元素个数为
且元素均为正整数,若能够将集合
分成元素个数相同且两两没有公共元素的三个集合
、
、
,即
,
,
,
,其中
,
,
,且满足
,
,
、
、
、
,则称集合
为“完美集合”.
(1)若集合
,
,判断集合
和集合
是否为“完美集合”?并说明理由;
(2)已知集合
为“完美集合”,求正整数
的值;
(3)设集合
,证明:集合
为“完美集合”的一个必要条件是
或
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da10a46022dba014432f4b8c9a33a3c1.png)
![](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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36d5add49505a286370d75c05bb37a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c29cd450d0feaea9acb27a60430f4a3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/521c8f3f084af427ec1c464f8b6bed86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ea7fcdb5423c1c8c032a3efcf245682.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c7bb58dca886fc65d874e2b30040c02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9cfd1398bb75618f8221abd14e97af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5049cefc642e08e2ba05e4f1029486de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49ca97c733e72b990f1ce7a39aea6510.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5095a28bb1b91bf6bed9e2cfbd76bb18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5528d8496504b48fe16e8d4990fc9380.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b052876711132da9ca65a3330251bbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
(2)已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39bc70fdaa725f9350b5a3356edeeb52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a29d686add2ae40bc9001ad85d2ef14f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71146e2f4a7ed5efd2585021ecb820f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83d1a5cd2d7e140e41954c40198f508b.png)
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|
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8卷引用:上海市南洋模范中学2022-2023学年高二上学期开学考试数学试题
8 . 若数列
满足
(
,且
为实常数),
,则称数列
为
数列.
(1)若数列
的前三项依次为
,
,
,且
为
数列,求实数
的取值范围;
(2)已知
是公比为
的等比数列,且
,记
.若存在数列
为
数列,使得
成立,求实数
的取值范围;
(3)记无穷等差数列
的首项为
,公差为
,证明:“
”是“
为
数列”的充要条件.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6a308a3e9b4cbfaebc891850bca6d6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76d8047f0a8bd0cf4e250cd0fe80093b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a70994adb16e3b90738c1130ca21113.png)
(1)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1222cf2ecfe85c078a3c192fc3f02ec4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37933cfc60b4bd29f1684687ddd2cbd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e954ddd309b0adf31b3627db0d8f7d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86fde3541708c770e48a06c28f9a3434.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/390636a89883bd64bf8da9bf8654aff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a9dc9d42849a5b67043241e0f04d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ce32f902c54d9540d0755acb252d38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e5ac20cde9cb0eec8853f409afcfe8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(3)记无穷等差数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89087b3022c9011d7ddf9ade06d137e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a70994adb16e3b90738c1130ca21113.png)
您最近一年使用:0次
2020-12-25更新
|
461次组卷
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3卷引用:上海市行知中学2022届高三上学期开学考试数学试题
9 . 已知无穷数列
的首项为
,其前
项和为
,且
(
),其中
为常数且
.
(1)设
,求数列
的通项公式,并求
的值;
(2)设
,
,是否存在正整数
使得数列
中的项
成立?若存在,求出满足条件
的所有值;若不存在,请说明理由.
(3)求证:数列
中不同的两项之和仍为此数列中的某一项的充要条件为存在整数
且
,使得
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fade3b62af2d51880b021a075dcd551.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930bc56406e69b785b37a83d48e36724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/812be9806122241c476ba1db516c4823.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7335c79ec0592fc36288f5135e86c6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c8212a513bceafbdb6e7e617a29079c.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5c1344592c925b273f2cb9b9e47ebbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6760775a38ed18ab8f346346e25de2ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/636f37adeddc68d0830ecd7d1c61ff8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a98b2a1269d8cb234c7cc9d49e75196b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c87a9ef1f87936695fb681df932efd10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c54680219b440350ffc5f1f43b3b78e0.png)
您最近一年使用:0次
2020-12-23更新
|
388次组卷
|
4卷引用:上海市奉贤中学2022届高三上学期开学考数学试题
上海市奉贤中学2022届高三上学期开学考数学试题上海市普陀区2021届高三上学期一模数学试题(已下线)重难点01 数列(基本通项求法)-2021年高考数学【热点·重点·难点】专练(上海专用)(已下线)考向14 等差数列-备战2022年高考数学一轮复习考点微专题(上海专用)
真题
名校
10 . 以
表示值域为R的函数组成的集合,
表示具有如下性质的函数
组成的集合:对于函数
,存在一个正数
,使得函数
的值域包含于区间
.例如,当
,
时,
,
.现有如下命题:
①设函数
的定义域为
,则“
”的充要条件是“
,
,
”;
②函数
的充要条件是
有最大值和最小值;
③若函数
,
的定义域相同,且
,
,则
;
④若函数
(
,
)有最大值,则
.
其中的真命题有______ .(写出所有真命题的序号)
![](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/8b2775ffdf695af2d263f0ea93ac5904.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2775ffdf695af2d263f0ea93ac5904.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2775ffdf695af2d263f0ea93ac5904.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d026b8ce5fb3f1d147f139fdd5af39c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1cdfb00a445d7a73fce37d84e459bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3909cd1628b8b860f2cb4ba8cca2dfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89256c12f998fee91b796aa00aeac440.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ef8638db5cf7b727d465c5f3cfcac3b.png)
①设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d5f5f81ea1a02b88ff8491fcf4937db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e446c2c7236efca702c2869e5b5fdd52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65ca1d83d558f02394e85bd86042d968.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6da27faad3fc7a8b669314585f6d105e.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b29b07686669fd91b85dac9ac7043af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
③若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d5f5f81ea1a02b88ff8491fcf4937db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5669bd4748f02f78b1484d9000664271.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/498c8073dee67659c89dd5298331d04e.png)
④若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7f386336dd9d314e3ca8b41842c024c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10a7e4dcebd24c843379926de9c0b780.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b29b07686669fd91b85dac9ac7043af.png)
其中的真命题有
您最近一年使用:0次
2019-01-30更新
|
3438次组卷
|
17卷引用:2015届湖北省部分重点中学高三上学期起点考试理科数学试卷
(已下线)2015届湖北省部分重点中学高三上学期起点考试理科数学试卷2014年全国普通高等学校招生统一考试理科数学(四川卷)2014年全国普通高等学校招生统一考试文科数学(四川卷)(已下线)2013-2014学年福建省漳州一中高二下学期期末考理科数学试卷(已下线)2015届四川省成都市新都一中高三10月考理科数学试卷2015届山东省日照市高三12月校际联合检测理科数学试卷北京市第四中学2017-2018学年高三上学期期中考试数学(理)(已下线)北京市第四中学2018届高三年级上学期期中考试数学文科试卷(已下线)2019高考备考一轮复习精品资料【理】专题五 函数的单调性与最值 教学案(已下线)2019高考热点题型和提分秘籍 【文数】专题5 函数的单调性与最值 (教学案)(已下线)2019高考热点题型和提分秘籍 【理数】专题5 函数的单调性与最值 (教学案)(已下线)2019高考备考二轮复习精品资料【文数】-专题2 函数的图像与性质(教学案)【区级联考】山西省运城市盐湖区2017-2018学年高二上学期期末考试数学文试题(已下线)专题07 函数的综合应用-十年(2011-2020)高考真题数学分项(已下线)常用逻辑用语(已下线)专题03 函数填空题(理科)-1(已下线)专题3 函数填空题(文科)-2