名校
解题方法
1 . 从集合
的子集中选出两个非空集合
,同时满足以下两个条件:①
且
;②若
,则
,则共有______ 种不同的选择.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04a2294dd3fea76320f360f6c2503544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7dcbd7f44645b8c707627ab0795e18b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/757590c67781ce727e74ca920c55c8b4.png)
您最近一年使用:0次
2 . 设集合
.若
,把
中所有元素之和称为
的“容量”(规定空集的容量为0).若
的容量为奇(偶)数,则称
为
的奇(偶)子集
(1)当
时,列出
的所有奇子集和偶子集
(2)求证:
的奇子集和偶子集个数相等
(3)当
时,求
的所有奇子集的容量之和
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0606346c54f2afc9f124afcb6c0ed3e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dbd65a545df6c8bef13d808159c6816.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/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be604061cf1591f7069472269d4c9719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcfc48f9bc23cc43085bdb910e7a136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
3 . 已知集合
.集合
含有
个元素的子集分别记为
,
,
,
,
,其中
,
,
.当
,
时,设
,且
.定义:
;
.
(1)若
,
(i)写出满足
的一个集合
,并写出
的最大值;
(ii)求
的值;
(2)若存在唯一的
,使得
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff2b3a23d2f1fec50e17559f1636fc68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df852270b85104c0bd2d0de2830ffd48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/640d4cb502dfb924620e30dbf7546241.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecf73e41a26910357acba6dd83b558af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b65b7b76ec96df162672fcdf653b9e9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7601dbefa6836756e3d2731b79af0126.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/694b52596fdfcc391b23b3894ad85ec6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/338947df86eb08f890be799504afe309.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c43c0c1f79b6b55d45a56087f42b9aea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b07eeb1c770bde4ee79af5abfd298dbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc2021769c50f01848cb89311c71659b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ca99f1104c0f7c014ab87496a892d4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b096b7a7ab6364001a6fbc0d8b53291.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba05bc733cdab0d9fbb6ebcfcef5c011.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45cf86650443d1b86c79b1e3edc7e5c.png)
(i)写出满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6faa41c5bd313f84d10c09d19c4abc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c325086d711b98fc89fe38b65e1b0e31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7600d2cfbdc6146db96cc545706004f6.png)
(ii)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe19c7c063c09c9c3740109ff526c757.png)
(2)若存在唯一的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1933b7c3ace69622339353431c519b13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b99d124d29ec453459d80f079d9a442e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
名校
4 . 我们把有限集合
中的元素个数用
来表示,并规定
,例如
,则
.现在,我们定义
,已知集合
,
,且
,则实数
不可能在以下哪个范围内( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32f5735aea7766caa4c9c8757081f9b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b51d24670206440b66c5ce912165cf25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ca717c6a55e786238e64f7ebd69b9b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a212be97a04c79317e722661faf59bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d13968e6bcedaa96349d77257438c6e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae113f05c451575a55b684e13a0af3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1af3b9189543d71cda34b476cbae936d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8823395fd2aa2284019ec6cc071e1b40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2021-08-03更新
|
402次组卷
|
2卷引用:山东省德州市2020-2021学年高二下学期期末数学试题
名校
5 . 设集合
,集合
,如果对于任意元素
,都有
或
,则称集合
为
的自邻集.记
为集合
的所有自邻集中最大元素为
的集合的个数.
(1)直接判断集合
和
是否为
的自邻集;
(2)比较
和
的大小,并说明理由;
(3)当
时,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dbad957385c90ca3a76e717e4b4e7d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84cd2449f6ae27a72287be95a661d8f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/320a7c616f6f7207a0a38bb707ac2205.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bfbcd3d6b77c949be81a946ac9ed9d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a73707750f88b56101446fce394e0faf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f7f71b0119f257edb8d5060a810de92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(1)直接判断集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4047b80385ef60ea5e9a1f184e7b948b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecde0085a473948c061942a1728a37c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5002f030017f6f0b34a61b2e15c5a9cb.png)
(2)比较
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64927a98d33b49dc5c6a0e65e5e8eb53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b41788e238eff245e567b58dea3a0003.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5818ede14d21f6df9ef9c2bfe09286c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3f4f09e879e859a946b2d5e2d844342.png)
您最近一年使用:0次
2021-07-15更新
|
896次组卷
|
7卷引用:北京市八一学校2020-2021学年高一下学期期末数学试题
北京市八一学校2020-2021学年高一下学期期末数学试题(已下线)期末重难点突破专题01-【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)1.2 集合间的基本关系-2021-2022学年高一数学尖子生同步培优题典(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(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)(已下线)高一上学期期中考试解答题压轴题50题专练-举一反三系列重庆市万州第二高级中学2023-2024学年高一上学期10月月考数学试题 (已下线)专题01 集合与常用逻辑用语3-寒假作业单元合订本
名校
6 . 已知
,
,
,记
,用
表示有限集合
的元素个数.
(I)若
,
,
,求
;
(II)若
,
,则对于任意的
,是否都存在
,使得
?说明理由;
(III)若
,对于任意的
,都存在
,使得
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1afd0680ce662524aa6451879d11808d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/952f1e0ce5bd53a6d5e8bb07ea2da5f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25c40e96042978cd7cf091886715e1eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a02237c1ccf910d90f8827bbf4d0aa89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37765d2927d24d4b582423c843aebcd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
(I)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45cf86650443d1b86c79b1e3edc7e5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d02aecba2435a394b89203c37408095f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a82f4f602933ea0b10f9eb8e63ce186.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(II)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764eff906937f9b1fb58e5abfb2eb8a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d197338ab810f6c9d31a2b67e5f352ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a82f4f602933ea0b10f9eb8e63ce186.png)
(III)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d2734b136f9961df15bb51c31e29e28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a82f4f602933ea0b10f9eb8e63ce186.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
2021-05-29更新
|
1671次组卷
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15卷引用:北京市第二中学2020-2021学年高二下学期期末数学试题
北京市第二中学2020-2021学年高二下学期期末数学试题第一章 预备知识 期末培优检测卷-2021-2022学年高一上学期数学北师大版(2019)必修第一册北京市中国人民大学附属中学2021届高三考前热身练习数学试题(已下线)第一章 集合(选拔卷)-【单元测试】2021-2022学年高一数学尖子生选拔卷(苏教版2019必修第一册)(已下线)第1章 集合 单元综合检测(单元培优)-2021-2022学年高一数学课后培优练(苏教版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)北京首师大附中 2022 届高三年级12月月考数学试题(已下线)专题02 集合与常用逻辑用语常考压轴题型-2021-2022学年高一《新题速递·数学》(人教A版2019)(已下线)【北京专用】高一下学期期末模拟测试A卷(已下线)考点突破01 集合与常用逻辑用语-备战2022年高考数学一轮复习培优提升精炼(新高考地区专用)(已下线)1.3 交集、并集(练习)-高一数学同步精品课堂(苏教版2019必修第一册)北京市顺义牛栏山第一中学2024届高三上学期10月月考数学试题北京市陈经纶中学2023-2024学年高一上学期期中诊断数学试题江西省上饶市广丰中学2023-2024学年高一下学期入学考试数学试题北京市第五十五中2023-2024学年高二下学期期中调研数学试卷
7 . 已知非空集合
,如果存在
(
且
),使得
,则称集合
具有性质
.
(1)分别判断下列集合是否具有性质
并说明理由;
①
;
②
.
(2)设m是正整数且
,集合
,求证:A具有性质
;
(3)求最小的正整数n,使得对于任意满足
且
的两个集合
和
,其中至少有一个集合具有性质
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c5fd42cf3b002d9ef1627780f16c9cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f490577e6b90fd4e54e588de3b404bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e869109c7cb33ecc053f63569d6f252.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b01a9c4d14740671afdabf9933e0a972.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d871ec977913283c947608935125720a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0914b68f106a912420705b2f3928ca42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daac43c7675fa411b35028e09b0bad90.png)
(1)分别判断下列集合是否具有性质
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04d256abcdbb1714e15a70f761126464.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3932560a63aa689fae26a5aa1b094d3.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/990f78d4c9449be03045fccff2d1360a.png)
(2)设m是正整数且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/833c1ee6b2e531eeaad594630b3335e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5ddbfc348fd81e6be531e5c3e2f2c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04d256abcdbb1714e15a70f761126464.png)
(3)求最小的正整数n,使得对于任意满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d3ba0288fdad44330f1dd88db72adcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5086d8f532bdec50a15171cc24a431b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9721059d158853671eaf19e39769b13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd8db4b168ddbcba90ac9b31d36a0432.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/833d0d3691997604885bd85d3271f212.png)
您最近一年使用:0次
名校
解题方法
8 . 设集合
,且S中至少有两个元素,若集合T满足以下三个条件:①
,且T中至少有两个元素;②对于任意
,当
,都有
;③对于任意
,若
,则
;则称集合
为集合
的“耦合集”.
(1)若集合
,求集合
的“耦合集”
;
(2)若集合
存在“耦合集”
,集合
,且
,求证:对于任意
,有
;
(3)设集合
,且
,求集合S的“耦合集”T中元素的个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b94a0abdcc3807bf392db9ff45b065.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eee24115b5913c454fe5a93f176db80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c36aecba41f6f5ff0d46a29dccaaf01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7741c8d8f0486556a102d904fb26a7be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8339eab9c659e50db86828b65f825e22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/566d386cbedb1c8750f4837633c2af64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0086b15b30b83d428b35cdbe094810f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5718e9c8baa106b447f9fae23e730de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
(1)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a8b2c7049b225429ace45c69a44d6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9a724b59c890095baa5cb73e267c44.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9275bd8ce17fcc4a786510b008414ab0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26a09b275c36edd90e33b7dbd4d8a1ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/799794fea82a353250cb5d27a30002cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/499f74ed37d11fb9d30d9ee10c337c0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b19fb48a58c310c0432c93e054c26ff.png)
(3)设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e91972c88f7dcf857a74fdbd57deb0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa09412f1c12451c54596ce4d58fffa.png)
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2021-01-27更新
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1320次组卷
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5卷引用:北京市顺义区2020-2021学年高一上学期期末考试数学试题
9 . 已知集合A是满足下列条件的函数
的全体:在定义域内存在实数
.使得
成立.
(1)判断幂函数
是否属于集合A,并说明理由;
(2)设
,
,若
,求a的取值范围;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1c8e4eb142751bf3e35b5c419115e52.png)
(1)判断幂函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a8756b76b2fb3289cb0f5a38623d5e5.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5177c17365d51a325c2aae416d4110f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/292d027c60fddc54f17820e6931ec86c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbec485ab7b15f1e09f163fe990577c5.png)
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解题方法
10 . 已知M是满足下列性质的所有函数
组成的集合:对任何
(其中
为函数
的定义域),均有
成立.
(1)已知函数
,判断
与集合M的关系,并说明理由;
(2)是否存在实数a,使得
属于集合M?若存在,求a的取值范围,若不存在,请说明理由;
(3)对于实数
,用
表示集合M中定义域为区间
的函数的集合,定义:已知
是定义在
上的函数,如果存在常数
,对区间
的任意划分:
,和式
恒成立,则称
为
上的“绝对差有界函数”,其中常数T称为
的“绝对差上界”,T的最小值称为
的“绝对差上确界”,符号
.求证:集合
中的函数
是“绝对差有界函数”,并求
的“绝对差上确界”.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03e6ac25d3f66b036bee546b28296e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b5886cf72ed5a1073263eb9ff485c7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/977a7e54c62dc0953cb298dabbf4860a.png)
(1)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e259b881edb5c3689559ea363488f9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)是否存在实数a,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e5ea5fddf06ac678b1aed55349999e.png)
(3)对于实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa38149578f22f9e1e2bd481dade72de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79775b36e40e07114c57a801e713398d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/627565d32e529cafcd2744d006ec6de2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/094f977194228bed828f3507f5898934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/627565d32e529cafcd2744d006ec6de2.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/627565d32e529cafcd2744d006ec6de2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d434e054594e2a29b97888f716c63f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f7b099591432a0a71180d1a3141de58.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
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