名校
解题方法
1 . 已知
,
.
(1)若
,求
在区间
上的最小值(直接写出结论,结果用
表示);
(2)我们知道:当
时,
.设
,求证:当
时,
恒成立;
(3)若
,
,其中
且
,
是
和
图像的一个公共点,
,求证:
和
的图像必存在异于点A的另一个公共点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3c270c7508ec18bfae26af47763aab7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b19651da570980f3ea96244eac374eff.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6d804ef44bfc64f824b0ccef71765e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)我们知道:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d49ec515fb1fdc93ca4dda443326ad5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80fcb77b3bdf39c6c3b6081c8663a6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a799d1b47ce37238fda796b1a6a021a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c0aa2ef928b6e3341d0a0dc6d8055b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50039d346ff2a21ca8c6f79b29027c08.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1dcfaae797d253d74badcad68bd9980.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f04558f55e986c97881d34a436a243f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cec12441802f71e803efaf2c62ee588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f940e491269e04ab4680ee10714ba88c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb57bb18755127be041d346444a4743e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f786a5701dc1a8a015e8843c3360151b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7050f42eb40e582b377e690e86615e7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f786a5701dc1a8a015e8843c3360151b.png)
您最近一年使用:0次
解题方法
2 . 给定区间
,集合
是满足下列性质的函数
的集合:任意
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/498d0230c058cb3bc6c8532d81cccb02.png)
(1)已知
,
,求证:
;
(2)已知
,
若
,求实数
的取值范围;
(3)已知
,
,讨论函数
与集合
的关系.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bb6324279df94decba955e04ccfa9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/498d0230c058cb3bc6c8532d81cccb02.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df30a6a4e1f42653da53dd068f0aad89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/246de316aacce5e2a1b482840ff02f82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57cac663990f61a4a3086c6bea3d51f9.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3235fb73f554beee6f89fd4db2cf62d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc416e67396183e0b2acebb0d99ca35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e74920f57028200604c2691c8f0fb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b8539e17ad8069125abeba054b80ea8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e3a290e355060efa374f301bcf4ebe0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次
2022-04-06更新
|
382次组卷
|
5卷引用:江苏省常州市十校2022-2023学年高一上学期12月联考数学试题
江苏省常州市十校2022-2023学年高一上学期12月联考数学试题【市级联考】江苏省南京市2018-2019学年高一上学期期末调研数学试题【市级联考】江苏省南京市2018-2019学年高一第一学期期末调研测试数学试题(已下线)专题04 《幂函数、指数函数和对数函数》中的解答题压轴题-2021-2022学年高一数学上册同步培优训练系列(苏教版2019)安徽省滁州市定远县育才学校2023届高三上学期期末数学试题
名校
3 . 对于正整数集合
,如果去掉其中任意一个元素
之后,剩余的所有元素组成的集合都能分为两个交集为空集的集合,且这两个集合的所有元素之和相等,就称集合
为“和谐集”.
(1)判断集合
与
是否为“和谐集”(不必写过程);
(2)求证:若集合
是“和谐集”,则集合
中元素个数为奇数;
(3)若集合
是“和谐集”,求集合
中元素个数的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b1e8da4ab7ad3bf25dccde55559c16b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efee470d0232b6b37f2fb2ab15aae0ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(1)判断集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66b07a67307d5d4627efa688b30e5573.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9afb9e20afd1670de12af12a2aa32f9.png)
(2)求证:若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(3)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
2022-06-13更新
|
1443次组卷
|
10卷引用:北京市第二中学2021-2022学年高一6月阶段落实测试数学试题
北京市第二中学2021-2022学年高一6月阶段落实测试数学试题北京理工大学附属中学2022-2023学年高一上学期10月月考数学试题第1章 集合 单元综合测试卷第一章 集合(B卷·能力提升练)-【单元测试】2022-2023学年高一数学分层训练AB卷(苏教版2019必修第一册)第一章 集合(A卷·基础提升练)-【单元测试】2022-2023学年高一数学分层训练AB卷(苏教版2019必修第一册)第一章 集合与常用逻辑用语(A卷·基础提升练)-【单元测试】2022-2023学年高一数学分层训练AB卷(人教A版2019必修第一册)江苏省扬州市高邮市第一中学2022-2023学年高一上学期期初数学试题(已下线)第02讲 集合的运算(7大考点13种解题方法)-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)北京市顺义区第一中学2023-2024学年高一上学期12月月考数学试题(已下线)第1章 集合与常用逻辑用语-【高中数学课堂】单元测试能力卷(人教B版2019)
4 . 对于任意的
,记集合
,
,若集合A满足下列条件:①
;②
,且
,不存在
,使
,则称A具有性质Ω.如当
时,
,
,
,且
,不存在
,使
,所以
具有性质Ω.
(1)写出集合
,
中的元素个数,并判断
是否具有性质Ω.
(2)证明:不存在A、B具有性质Ω,且
,使
.
(3)若存在A、B具有性质Ω,且
,使
,求n的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1933b7c3ace69622339353431c519b13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6136140ae3eda80fa2251dd6f3840415.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d61ab4e28840d2597566a9677cf1670.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c8a4824db78a0f34777372e4cb7ff9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac5230b93cc884fe3b8798d0cd2f30e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf5776ec7059c208daf01ca48a34915.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b354b577ec9cdb8941ba4f7b66a8aea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc2d3df37e73a8abea815f37dbb3fff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ba1217bdce7fed00b4c488ae2d1c83f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1922efd1e913d2721fbf240ea3740ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d64a4f7b1f0fb56b37f75d95a50d321.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf5776ec7059c208daf01ca48a34915.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b354b577ec9cdb8941ba4f7b66a8aea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
(1)写出集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797e67927616b141ed7c6b83f8b6f4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fee50575e3ebd56c4f46dd0bbf8e55d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797e67927616b141ed7c6b83f8b6f4fb.png)
(2)证明:不存在A、B具有性质Ω,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ef35a92301f139a035fc643ff1545c1.png)
(3)若存在A、B具有性质Ω,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5a347c4b63fad850a75f36e87f44c86.png)
您最近一年使用:0次
2022-04-09更新
|
755次组卷
|
5卷引用:北京市清华大学附属中学朝阳学校2021-2022学年高一3月质量检测数学试题
北京市清华大学附属中学朝阳学校2021-2022学年高一3月质量检测数学试题重庆市南开中学高2022-2023学年高一上学期第一次月考数学试题(已下线)第02讲 集合的运算(7大考点13种解题方法)-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)1.3 交集、并集(2)(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
名校
5 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/044d9b0c723eb19526ed1cfc5c052f82.png)
,
为
的导数.
(1)若
为
的零点,证明:
在区间
上单调递增;
(2)当
时,不等式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5de96ea6b1e96873a7c59fd3d89750.png)
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/044d9b0c723eb19526ed1cfc5c052f82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bf8197e4f3fd18815045d29c357a863.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c9aeed3c8c5a04e48d011c607f9142.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5de96ea6b1e96873a7c59fd3d89750.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab03556c333ab0b55fe86c937b2a5763.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
6 . 已知函数
,函数
为R上的奇函数,且
.
(1)求
的解析式:
(2)判断
在区间
上的单调性,并用定义给予证明:
(3)若
的定义域为
时,求关于x的不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ef8ceec2288e3485f893f8eae05fb07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51e817f37f5a814e856ebc4a16d676ce.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c83a3106a7d6a2edd5baa29f0ba76b1c.png)
您最近一年使用:0次
2022-01-24更新
|
944次组卷
|
4卷引用:四川省宜宾市叙州区第一中学校2022-2023学年高一上学期第三学月考试数学试题
名校
7 . 已知集合
(
且
),
,且
.若对任意
(
),当
时,存在
(
),使得
,则称
是
的
元完美子集.
(1)判断下列集合是否是
的3元完美子集,并说明理由;
①
; ②
.
(2)若
是
的3元完美子集,求
的最小值;
(3)若
是
(
且
)的
元完美子集,求证:
,并指出等号成立的条件.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a6040700d8c0d30470a38d233c12f43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcfc48f9bc23cc43085bdb910e7a136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cbf041bb12004891be66236a427bf12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/952f1e0ce5bd53a6d5e8bb07ea2da5f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f9ca84aa3597da3531ac4c175d94147.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18db8b768e5060b3471415e4b55ac30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81e676073a8d2acb1678fdc705e33f0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcaa284b3d0dce4256ded57204703c2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42a236fe66ea4ef97f3cba08affdb9de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d169a02afabbe304cf64b355bf71742a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(1)判断下列集合是否是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c078203503613eb6dab717ffe1e513a2.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e3d724a3e6f93bc0be9957d94bf30ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d8dcc2ae480c1fdba0d4b89922a355f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8d6cf178ab517dc7e27523be5321d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0628c5791b48f147759f9f4a72e90f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fa2160591c654883f613e6dcd9851d6.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cbf041bb12004891be66236a427bf12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a6040700d8c0d30470a38d233c12f43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcfc48f9bc23cc43085bdb910e7a136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32da979e212a228284f556eb51cc96f2.png)
您最近一年使用:0次
2022-03-24更新
|
1178次组卷
|
6卷引用:北京市清华大学附属中学朝阳学校2021-2022学年高一5月月考数学试题
名校
8 . 给出定义:若a,b为常数,
满足
,则称函数
的图象关于点
成中心对称.已知函数
,定义域为A.
(1)判断
的图象是否关于点
成中心对称;
(2)当
时,求证:
.
(3)对于给定的
,设计构造过程:
,
,…,
,….如果
(
),构造过程将继续下去;如果
,构造过程将停止.若对任意
,构造过程可以无限进行下去,求a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/848df4eb73fcb06c262064e1049db419.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7d8e3d7445942ed9ba4edd08c5960c8.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61f6ca145b98fea14265851c6ef79154.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a34d57537233a4f8448de4221b6047de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d846906abbded9ac220d779d42fc8ce1.png)
(3)对于给定的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa273c6bf06db59f93c900e6bf8eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9232e8b0604c039d1291c082a2271a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eb4d4251ee23b1d635cf8d1080dceef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc85a01f2a5b003d545aabd58658f430.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6647098a15a5a3da59e48c2315becc48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3c27d816ef19385bc3eae7a47fdbe9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cedd176503d53573b0d7ceb03d933700.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa273c6bf06db59f93c900e6bf8eb55.png)
您最近一年使用:0次
2021-11-09更新
|
842次组卷
|
6卷引用:江西省赣州市赣州中学2022~2023学年高一上学期12月月考数学试题
名校
9 . 设
,函数
.
(1)若
,判断并证明函数
的单调性;
(2)若
,函数
在区间
(
)上的取值范围是
(
),求
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5029bd373d0a619fd342eeb67a03dd2e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb7961cbe98aac6a5fdee94582c341b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51f8ca3916770d199f7edd59b1722a86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37b97b295f88972ba1c7e3cefda0885d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8573eecbc29f522671b3892ec406c50b.png)
您最近一年使用:0次
2022-02-16更新
|
772次组卷
|
4卷引用:四川省宜宾市叙州区第一中学校2022-2023学年高一上学期第三学月考试数学试题
名校
10 . 设
的定义域是
,在区间
上是严格减函数;且对任意
,
,若
,则
.
(1)求证:函数
是一个偶函数;
(2)求证:对于任意的
,
.
(3)若
,解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff565afbddafe8625ef376d7eb3fa649.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bc2435121b2b68da22ba4662e5734c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/333cf846facfab1283527ebe48961a95.png)
(1)求证:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)求证:对于任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1591d4244dcf5539a4ae98f554e91e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5967cc62862986840af4dd29df4bcc41.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24f8b235e47a99a065a102c259b81db4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3059047431efe07f36b3fb319f709a78.png)
您最近一年使用:0次
2021-11-26更新
|
1212次组卷
|
5卷引用:重庆市南开中学2022-2023学年高一上学期12月月考数学试题
重庆市南开中学2022-2023学年高一上学期12月月考数学试题(已下线)专题03 函数的概念与性质(练习)-2(已下线)上海高一上学期期中【压轴42题专练】(2)上海市复旦大学附属中学2021-2022学年高一上学期期中数学试题(已下线)专题3-6 抽象函数性质综合归类(2) - 【巅峰课堂】题型归纳与培优练