1 . 设
是非空数集,若对任意
,都有
、
,则称
具有性质
,给出以下命题:
①若
具有性质
,则
可以是有限集;
②若
具有性质
,且
,则
具有性质
;
③若
、
具有性质
,且
,则
具有性质
;
④若
、
具有性质
,则
具有性质
.
其中所有真命题的序号是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e13a814f8e081078dcf3788177affcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/957d41dbe52b49c3a7339e3519a3fe84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ae4f0ccdfc1206d809e581449d0452e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f20c225a51cdde922ccae6bd01d970cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49c6009ab1bad0e053bc7e11b868cac6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
③若
![](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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a8543bb9be52b25cf5be0a39110c9e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b76d26b78e63683dfacf10d3da6d74d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
④若
![](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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2646f41226f24960a6186dc7860ef45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
其中所有真命题的序号是
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2 . 设集合
,
,
,
,
,
中至少有两个元素,且
,
满足:
(1)对于任意
,
,若
,则
;
(2)对于任意
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70523091cb4f2dec4ab3d3c2c7c5b734.png)
下列命题正确的是__________
填序号![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
若
有
个元素,则
有
个元素;
若
有
个元素,则
有
个元素;
若
有
个元素,则
有
个元素;
若
有
个元素,则
有
个元素.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a41c94f966e7fd53ca8444b9608fb9df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/694261296b6e4ba0e0e23a499f649925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(1)对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87d1f68cddb882c8e9f2e228600dd894.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a88a6f673d271126125b19f87b0f6e9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e9b0e77410d25dad82801440d557499.png)
(2)对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13a980b948ce74321c7f61f57f134ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d5ad7382fdfa1d592e8fc86c08b92b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70523091cb4f2dec4ab3d3c2c7c5b734.png)
下列命题正确的是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ce8411079aca57f17d3ead32798f055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a7dd9576353a96930d1a7a8271b02b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50e8092e0dec3a194a5f7f0dc6f00f23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0e1cc087fe7fcc714a186942a7f34ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50e8092e0dec3a194a5f7f0dc6f00f23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa127d53ea99768a9a459e8f13271ce6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50e8092e0dec3a194a5f7f0dc6f00f23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fef5c6dd28836da56f8899467ea771e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50e8092e0dec3a194a5f7f0dc6f00f23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b06e95b57b7a81cd81d05557a11fa92.png)
您最近一年使用:0次
2023高一·全国·专题练习
3 . 已知集合
,集合
,且
,则实数m的取值范围为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e509e8cb233cce715382826c37c49a4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0aa49f90cc9af588aed52856b91c0bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbbe46a98a8fdebfc46fcbc45dc88e8.png)
您最近一年使用:0次
2023高一·全国·专题练习
解题方法
4 . 已知
.若
,则实数
的取值集合为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dec036c66f9cff1a5a98d5db20897158.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e05d5a1131f5903c29232699c7563b1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023高一·全国·专题练习
5 . 设
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e60375f97ff7854f4d3a8b1108d2e3.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0453002108569d528511832354a5a70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ab57668643c18084f04cb2762652f31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e60375f97ff7854f4d3a8b1108d2e3.png)
您最近一年使用:0次
6 . 已知全集
,集合
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7d2e665ea8fd4431572ed924258dd6b.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbd4c1dfabc26180b9b7a139b13735b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4360c34921f53fba6644ef1af9995cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7d2e665ea8fd4431572ed924258dd6b.png)
您最近一年使用:0次
名校
7 . 若下列两个方程:
,
至少有一个方程有实根,则实数a的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b265fae9fe9a59830c91ba9a0ec762c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bab67a391ba2678e91073f442b26425.png)
您最近一年使用:0次
2023-09-25更新
|
349次组卷
|
3卷引用:专题03 不等式-期中考点大串讲(苏教版2019必修第一册)
(已下线)专题03 不等式-期中考点大串讲(苏教版2019必修第一册)江苏省南京市中华中学2023-2024学年高一上学期学情调研(一)数学试题广东省深圳市华中师范大学龙岗附属中学2023-2024学年高一上学期10月月考数学试题
8 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f735ad515a58af2a385fa4f0d92a974.png)
______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/429e921cea6548d3e24eadb931967f71.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f735ad515a58af2a385fa4f0d92a974.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/429e921cea6548d3e24eadb931967f71.png)
您最近一年使用:0次
解题方法
9 . 已知集合
,
,若
,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46d6fe70d70004517a2979fd8404b2d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e57a8804858f3dc86672877ebd1b1e7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbbe46a98a8fdebfc46fcbc45dc88e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023-07-13更新
|
801次组卷
|
3卷引用:1.3 集合的基本运算-高一数学同步精品课堂(人教A版2019必修第一册)
(已下线)1.3 集合的基本运算-高一数学同步精品课堂(人教A版2019必修第一册)山东省德州市2022-2023学年高二下学期期末数学试题【人教A版(2019)】专题16(一轮复习)集合、常用逻辑与不等式(第一部分)-高二下学期名校期末好题汇编
10 . 已知集合
,
,若
,则m的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70c28ae47c0c501f676f2c99386e7082.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98f1731fc772d7288bd2ec30462cb340.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/202ab7965ce52c189d9b428416c71981.png)
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2023-07-11更新
|
612次组卷
|
5卷引用:专题1-2 集合运算求参与最值10种题型归类(2) - -【巅峰课堂】题型归纳与培优练
(已下线)专题1-2 集合运算求参与最值10种题型归类(2) - -【巅峰课堂】题型归纳与培优练山东省青岛市平度市2022-2023学年高二下学期期末数学试题江苏省南京市田家炳高级中学2023-2024学年高一上学期期初检测数学试题(已下线)阶段性检测1.2(中)(范围:集合、常用逻辑用语、不等式、函数、导数)(已下线)专题06集合与常用逻辑用语、不等式期末6种常考题型归类【好题汇编】-备战2023-2024学年高二数学下学期期末真题分类汇编(人教B版2019)