名校
1 . 已知函数
,记集合
,
,若
,则实数
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff89e1b2a00ef707ce48feba1ab419e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76d5c23f0d6d358e48dc9bed91b07f63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fcd34b4fe3fad45fb9f00030ba18a26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79d02e5de0c92487382f4b98376e9740.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-01-29更新
|
256次组卷
|
3卷引用:浙江省杭州第二中学2023-2024学年高一上学期期中考试数学试题
名校
2 . 已知函数
,若非空集合
,满足
,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01decbce56a8ac2c7180f6f7e0ad64d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b96b8e48e27692514e05399abb18bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a70d32c64918aa4d1d9d3ce0bdbf7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
3 . 已知集合
为非空数集,定义
.
(1)若集合
,请证明
,并直接写出集合
;
(2)若
且
,集合
,求
的最小值;
(3)若集合
,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a1218ca84c0ea386cc4af4a7d25fb7d.png)
(1)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fd6edb659be68495364855860dca3ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e7fd6bf379008c85f6cf6f85871a60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e16289945d1d1c529fb1bfd4d828f413.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98ca33894cfd022eb3a57cfde78f06b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd4613271f782a90ab580131d09d03d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3489591aa8bf18d0c4c4363964c234db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(3)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77239c98c78a026cc03336edca067ea3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc9473a5974fa9c4286f90f6a3637411.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb1868c8a0db983c9cc2695294fa03b1.png)
您最近一年使用:0次
名校
4 . 集合A为非空数集,定义:
,
.
(1)若集合
,直接写出集合S、T;
(2)若集合
,
,且
,求证:
;
(3)若集合
,
,记
为集合A中元素的个数,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b47cb8e325f4e0ded238fcd80b5ce954.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1abd6a401084df3b4f8661000db4307f.png)
(1)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a22f8d9188279429b395c30b2898ac1.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7591668ec1bc5e8b1f2c4dba4835d1b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3604274ad6707a906eba371a9e884144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c76ad1e03a6ba59e8164e37c5e7e063e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb1868c8a0db983c9cc2695294fa03b1.png)
(3)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/582a9db63ddc5da3571ade7d0958f6f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30a6a3d1be93cf6d16ee6e0ce0497f46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc8279d9dd0b7750953cb9e2098b3b90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc8279d9dd0b7750953cb9e2098b3b90.png)
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名校
解题方法
5 . 已知
,非空集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/898fb2bc424ef45953524510f82ae36f.png)
(1)证明:
的充要条件是
;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8d7ed6f4b0e08cd887d2fdc2a5e37e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/898fb2bc424ef45953524510f82ae36f.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8cdf3fa28452900663354a54a8f3175.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a783088120d67cc98936081e80fb7f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c98816a922b6dd4704b3f95adc77cb7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
名校
6 . 设集合
,若
且
,判断满足条件的集合
的个数并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d4e0a3759816066d9eee47407ce2f75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad96b50521f4bbf3d436d05dc258083d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85d5b1b24e2d918646afd0e16e119698.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
您最近一年使用:0次
22-23高一上·广东深圳·期中
名校
7 . 已知函数
,若非空集合
,
,
,则下列说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1455ee0c4523c5939859b5c1a2c03272.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dd6895df6cb633f5d9de2bd8cf1c29c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74462403175ba64d04625a3ba657c94d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a70d32c64918aa4d1d9d3ce0bdbf7b.png)
A.![]() | B.![]() ![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2022-11-11更新
|
971次组卷
|
5卷引用:广东省深圳中学2022-2023学年高一上学期期中数学试题
(已下线)广东省深圳中学2022-2023学年高一上学期期中数学试题(已下线)广东省深圳市深圳中学2022-2023学年高一上学期期中数学试题浙江省金华市曙光学校2022-2023学年高一上学期期中数学试题新疆维吾尔自治区和田地区皮山县2022-2023学年高一上学期11月期中考试数学试题(已下线)人教A版高一上学期【期中押题卷01】-【满分全攻略】(人教A版2019必修第一册)
解题方法
8 . 设
、
、
是两个两两不相等的正整数.若
,
,
,
,
,则
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d55640fa7617f9eb53d3de27a90d8e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980ab4deb9e7f2bc9288787f5243a4d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76fb05007986225bbad3313595ef8ef8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d89bdfb7c60cfefa20b0490f916ef88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8836a9dd9e568288ae4d6f2ba13d59a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dd4067a19eeb07474557fe7b2508880.png)
A.1000 | B.1297 | C.1849 | D.2020 |
您最近一年使用:0次
名校
9 . 已知集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47f785ab2e824114a3c9b90498bc3034.png)
,则满足
且
的集合N的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47f785ab2e824114a3c9b90498bc3034.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/501adaa9c7a385b2e0f3e7ec0f4110a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad96b50521f4bbf3d436d05dc258083d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85d5b1b24e2d918646afd0e16e119698.png)
A.0 | B.1 | C.2 | D.3 |
您最近一年使用:0次
名校
10 . 已知函数
,集合
,集合
,若
,则实数a的取值可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80027540415bd2b98c9be19e21b5f8d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dd6895df6cb633f5d9de2bd8cf1c29c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41837d8f3b0a52a3155f705d16346746.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79d02e5de0c92487382f4b98376e9740.png)
A.2 | B.3 | C.4 | D.5 |
您最近一年使用:0次
2022-01-21更新
|
905次组卷
|
4卷引用:浙江省衢州市2021-2022学年高一上学期期末教学质量检测数学试题
浙江省衢州市2021-2022学年高一上学期期末教学质量检测数学试题浙江省杭州第七中学2021-2022学年高一上学期期末数学试题浙江省金华市金东区艾青中学2022-2023学年高一上学期期中数学试题(已下线)期中真题必刷常考60题(24个考点专练)-【满分全攻略】(人教A版2019必修第一册)