1 . 已知函数
.
(1)判断函数
的奇偶性,并证明你的结论;
(2)用函数单调性定义证明:函数
在
上是减函数;
(3)写出函数
的值域(结论不要求证明).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d389b78f753622d6ed895eff86c8e59b.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)用函数单调性定义证明:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
(3)写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
2 . 对任意正整数n,记集合
,
.
,
,若对任意
都有
,则记
.
(1)写出集合
和
;
(2)证明:对任意
,存在
,使得
;
(3)设集合
.求证:
中的元素个数是完全平方数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a39352d44787ecda055946f530893f97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5359f5f086b89cc656cdd4f79a3b7baa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5df0913f90131b298c8f6f57437f69b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20c1352dca7dc3caf67c1cb937d52795.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d35755ad07f05e7bfe00176d6334389f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75a28908216e6879a09b372d957be1e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90df641ab645927ee577e79faf18dcdd.png)
(1)写出集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a71fc9c0068109dad1382354570665.png)
(2)证明:对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e840ba7606959ccea36793f3ef0775d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b576952835af1f3492f0f3e6d00093e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90df641ab645927ee577e79faf18dcdd.png)
(3)设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/112d102cbe7ce2bebe0c76e87e89a00c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
2023-11-15更新
|
167次组卷
|
4卷引用:北京市朝阳区2022届高三上学期期末统一检测数学试题
名校
3 . 已知函数
,
,
.
(1)当
时,判断函数
的奇偶性并证明;
(2)当
且
时,利用函数单调性的定义证明函数
在
上单调递增;
(3)求证:当
且
时,方程
在
内有实数解.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0cc9b1b321520eae2bf944a9c85c9ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19339e3904e9541ff26b30ae5f1242b2.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/657435e1fda84118e7f63c97505c8b75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143b917df0520097be222accbddf9394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d6243e93c41978871cb23d8e66148d.png)
(3)求证:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91a871ef7bf13de3e15489d65b57a3cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b92b70365c63607daecdc8deb73ecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99caed81bfb141d6e7dac8f6fe9db069.png)
您最近一年使用:0次
4 . 已知函数
,
.
(1)求证:
为偶函数;
(2)设
,判断
的单调性,并用单调性定义加以证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cf688908975687a9bead59e017acacc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4741b2cc342a055aefb2d825e45ce77e.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aae37cac299cbe3ccac181b2175287f.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa662f0273f0921c1fa4727f632395.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
您最近一年使用:0次
解题方法
5 . 已知函数
.
(1)判断函数
的奇偶性,并证明你的结论;
(2)证明函数
在
上是减函数;
(3)写出函数
在
上的单调性(结论不要求证明).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00a6c9fb833222c90628ea81e64ddbeb.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03db4ea1dcb63b22cf4e917df5db581e.png)
(3)写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22bee52d6517d5176dff669b8d93f7d1.png)
您最近一年使用:0次
2023-01-05更新
|
781次组卷
|
4卷引用:北京市西城区2022-2023学年高一上学期数学期末试题
北京市西城区2022-2023学年高一上学期数学期末试题北京市第十五中学南口学校2023-2024学年高一上学期期中考试数学试题(已下线)3.2.2 奇偶性-高一数学同步精品课堂(人教A版2019必修第一册)(已下线)期末真题必刷常考60题(34个考点专练)-【满分全攻略】(人教A版2019必修第一册)
名校
6 . 设A为非空集合,令
,则
的任意子集R都叫做从A到A的一个关系(Relation),简称A上的关系.例如
时,
{0,2},![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76986e6f96cbb9d7d6d0fbcf0bf2321a.png)
,
,
{(0,0),(2,1)}等都是A上的关系.设R为非空集合A上的关系.给出如下定义:
①(自反性)若
,有
,则称R在A上是自反的;
②(对称性)若
,有
,则称R在A上是对称的;
③(传递性)若
,有
,则称R在A上是传递的;
如果R同时满足这3条性质,则称R为A上的等价关系.
(1)已知
,按要求填空:
①用列举法写出
______________________;
②A上的关系有____________个(用数值做答);
③用列举法写出A上的所有等价关系:{(0,0),(1,1),(2,2)},{(0,0),(1,1),(2,2),(0,1),(1,0)},{(0,0),(1,1),(2,2),(0,2),(2,0)},_______________,_______________,共5个.
(2)设
和
是某个非空集合A上的关系,证明:
①若
,
是自反的和对称的,则
也是自反的和对称的;
②若
,
是传递的,则
也是传递的.
(3)若给定的集合A有n个元素(
),
,
,...,
为A的非空子集,满足
且两两交集为空集.求证:
为A上的等价关系.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff994543fe18b563c7127c8b2a874358.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f95c06ed271ff0a6407a3bf5deec5871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5689e50a9353ba69ff5b71e7b6a3c795.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8225d0531fba46cbb4a3af4dd2d6751f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76986e6f96cbb9d7d6d0fbcf0bf2321a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f95c06ed271ff0a6407a3bf5deec5871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934909fce1b90557163c6f43d4f0790d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8225d0531fba46cbb4a3af4dd2d6751f.png)
①(自反性)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd170c506a8ce70f550f5751ae016ca6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e96fb327d44b08d715e86db04cc9785.png)
②(对称性)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/328ae22ec119ce8f0faac8dc554a2c10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c950781f08495bc2a4c20454c26c48d8.png)
③(传递性)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/227539cbcd96eb67cbcf7c94de56598d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78dd7c7d34bcfcae1f423a684aae9542.png)
如果R同时满足这3条性质,则称R为A上的等价关系.
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5689e50a9353ba69ff5b71e7b6a3c795.png)
①用列举法写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39b0949c177d28fe5b6ec4a0de58c80a.png)
②A上的关系有____________个(用数值做答);
③用列举法写出A上的所有等价关系:{(0,0),(1,1),(2,2)},{(0,0),(1,1),(2,2),(0,1),(1,0)},{(0,0),(1,1),(2,2),(0,2),(2,0)},_______________,_______________,共5个.
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efc18a5bb2e53586331b2a58538a48b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f20f21a9d50b61dac519a3ddab539d.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efc18a5bb2e53586331b2a58538a48b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f20f21a9d50b61dac519a3ddab539d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05725d20ff805152beff52c7a5e8d735.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efc18a5bb2e53586331b2a58538a48b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f20f21a9d50b61dac519a3ddab539d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7077a5e7dce0e2f0e678b1147deae46.png)
(3)若给定的集合A有n个元素(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5818ede14d21f6df9ef9c2bfe09286c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f4bae4bf0e8cf84b9e1c6c7258b06d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79ff32c9e80fd90fcdb360f9a5a21c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/591eaeea196d5720d0762ced03e8ce3b.png)
您最近一年使用:0次
名校
7 . 对于正整数集合
,如果任意去掉其中一个元素
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“可分集合”.
(1)判断集合
和
是否是“可分集合”(不必写过程);
(2)求证:五个元素的集合
一定不是“可分集合”;
(3)若集合
是“可分集合”.
①证明:
为奇数;
②求集合
中元素个数的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a570dbedf552f9d57ec0414e54f3386a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c4392f75c09edaec2e70c9eccb2b85.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/38aa0ba6ea6e8f10a2159defda4e67f8.png)
(2)求证:五个元素的集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1752a1d13ec6a233405fce4d5af61d8f.png)
(3)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a570dbedf552f9d57ec0414e54f3386a.png)
①证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
②求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
2019-12-27更新
|
574次组卷
|
4卷引用:北京市顺义区牛栏山第一中学2019-2020学年高三上学期期中数学试题
北京市顺义区牛栏山第一中学2019-2020学年高三上学期期中数学试题北京市密云区2019-2020学年高一上学期期末数学试题(已下线)第1章《集合》 培优测试卷(二)-2021-2022学年高一数学上册同步培优训练系列(苏教版2019)(已下线)专题05 集合与常用逻辑用语压轴题型汇总-2021-2022学年高一《新题速递·数学》(人教A版2019)
8 . 设M是由满足下列条件的函数
构成的集合:“①方程
有实数根;②函数
的导数
满足
”.
(1)判断函数
是否是集合M中的元素,并说明理由;
(2)若集合M中的元素具有下面的性质:“若
的定义域为D,则对于任意
,都存在
,使得等式
成立”,试用这一性质证明:方程
只有一个实数根;
(3)设
是方程
的实数根,求证:对于
定义域中的任意的
,当
且
时,
.
![](https://img.xkw.com/dksih/QBM/2011/2/22/1570006047989760/1570006053412864/STEM/ae69ca2dbf214361aaced19128f5b3ad.png)
![](https://img.xkw.com/dksih/QBM/2011/2/22/1570006047989760/1570006053412864/STEM/6021540f69a449d888b651a72c1479ef.png)
![](https://img.xkw.com/dksih/QBM/2011/2/22/1570006047989760/1570006053412864/STEM/ae69ca2dbf214361aaced19128f5b3ad.png)
![](https://img.xkw.com/dksih/QBM/2011/2/22/1570006047989760/1570006053412864/STEM/03232f0551f6467eac414c60d35586a1.png)
![](https://img.xkw.com/dksih/QBM/2011/2/22/1570006047989760/1570006053412864/STEM/9779437256ef4567a6622615f573e146.png)
(1)判断函数
![](https://img.xkw.com/dksih/QBM/2011/2/22/1570006047989760/1570006053412864/STEM/abb75ec4ca244cb6acf77767c9e2801f.png)
(2)若集合M中的元素具有下面的性质:“若
![](https://img.xkw.com/dksih/QBM/2011/2/22/1570006047989760/1570006053412864/STEM/ae69ca2dbf214361aaced19128f5b3ad.png)
![](https://img.xkw.com/dksih/QBM/2011/2/22/1570006047989760/1570006053412864/STEM/26bee806fbe340b69bb98cea2c4a27c1.png)
![](https://img.xkw.com/dksih/QBM/2011/2/22/1570006047989760/1570006053412864/STEM/9fe616bad37a46349490cadbc5d6eb0d.png)
![](https://img.xkw.com/dksih/QBM/2011/2/22/1570006047989760/1570006053412864/STEM/5f915debb4c64765aa8217365ab3ec4e.png)
![](https://img.xkw.com/dksih/QBM/2011/2/22/1570006047989760/1570006053412864/STEM/6021540f69a449d888b651a72c1479ef.png)
(3)设
![](https://img.xkw.com/dksih/QBM/2011/2/22/1570006047989760/1570006053412864/STEM/666cf56f0d7547ef82a6ccd8c59ca96d.png)
![](https://img.xkw.com/dksih/QBM/2011/2/22/1570006047989760/1570006053412864/STEM/6021540f69a449d888b651a72c1479ef.png)
![](https://img.xkw.com/dksih/QBM/2011/2/22/1570006047989760/1570006053412864/STEM/ae69ca2dbf214361aaced19128f5b3ad.png)
![](https://img.xkw.com/dksih/QBM/2011/2/22/1570006047989760/1570006053412864/STEM/4407e7eea4b74ec884317d371fa5fd39.png)
![](https://img.xkw.com/dksih/QBM/2011/2/22/1570006047989760/1570006053412864/STEM/bf69921ad4954c8cb68344594560c1cb.png)
![](https://img.xkw.com/dksih/QBM/2011/2/22/1570006047989760/1570006053412864/STEM/0509a1f80c6e464e8b90705c0e053bb3.png)
![](https://img.xkw.com/dksih/QBM/2011/2/22/1570006047989760/1570006053412864/STEM/25d2084c3eb94f33935b3390721b5274.png)
您最近一年使用:0次
名校
解题方法
9 . 设
,若非空集合
同时满足以下4个条件,则称
是“
无和划分”:
①
;
②
;
③
,且
中的最小元素大于
中的最小元素;
④
,必有
.
(1)若
,判断
是否是“
无和划分”,并说明理由.
(2)已知
是“
无和划分”(
).
①证明:对于任意
,都有
;
②若存在
,使得
,记
,证明:
中的所有奇数都属于
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a70b95c53fb6655721e2a8c61f5c2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c8559db5cec89fb0ed29e8be8fdb0b1.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03710ecc47ca36cb01c337a71d300974.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b6e72a98cbc82cb24cb85aa3ab837f5.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35a2410ce34b36954ed4923e600d42f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e006283149b3d1662205b5271dd69db2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58f045d0c3275b992d4a4f90dcd20e63.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/408f3365f7c6767cd3f006022ee22413.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6da92a00c5e0121accc325e50f6492fe.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c8559db5cec89fb0ed29e8be8fdb0b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5818ede14d21f6df9ef9c2bfe09286c.png)
①证明:对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efb6b675fa03f7268b8cbd1f1d91bd27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4003dc977c4cacda932927eed9c9d10.png)
②若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8457b5be40500d437a83bb12e488b5eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09bd7ed301e00171b88549a8deb65035.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5203c10c41f8b8aaa4c9cc90f1f3271.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
2024-06-10更新
|
134次组卷
|
2卷引用:北京市丰台区2023-2024学年高一上学期期末练习数学试卷
名校
解题方法
10 . 给定正整数
,设集合
.对于集合
中的任意元素
和
,记
.设
,且集合
,对于
中任意元素
,若
则称
具有性质
.
(1)判断集合
是否具有性质
?说明理由;
(2)判断是否存在具有性质
的集合
,并加以证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5f57a82532efc3493710a2ff44fefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94a6d1701e8172b86bc880c24d0bc58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b8eb800ed1a7e5e22e3947e6bd30c87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d35e477c52dfbfb80f1fc315143c8b06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1368a045ba80f97383f3d9d7fcdc8f15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ae454efa6255bf3bb1c43e845746088.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9855cb665c7f3785a17718be10538af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a2f08194bb663f1a086fa2f555ebf43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5651757f34e9de2462ccdc056f04ab4.png)
(1)判断集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a2fbba9715be4e3cb0886973e3d3ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b25c874d4ce0667f3acfe8d26d2a5b6f.png)
(2)判断是否存在具有性质
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04d0e79b3bb773de1ebea52199754c01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
2024-01-25更新
|
313次组卷
|
4卷引用:北京市海淀区北京交通大学附属中学2023-2024学年高二上学期期中练习数学试题
北京市海淀区北京交通大学附属中学2023-2024学年高二上学期期中练习数学试题北京市延庆区2023-2024学年高二上学期期末考试数学试卷(已下线)专题04 分类讨论型【讲】【北京版】2(已下线)专题1 集合新定义题(九省联考第19题模式)练