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解题方法
1 . 下列说法错误的是( )
A.命题“![]() ![]() |
B.若![]() ![]() ![]() |
C.当![]() ![]() |
D.命题“![]() ![]() |
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2 . 判断下列命题的真假,其中真命题是( )
A.“![]() ![]() |
B.“![]() ![]() |
C.“![]() ![]() |
D.“![]() ![]() |
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3 . 小华同学学完集合的基本运算后,自己定义了如下集合运算:
且
,小华列举了如下命题:
①任意集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c86226e5a06894e5c79443dd11301906.png)
②任意集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22c99aba48aeaf828dff4b78b2be7c4f.png)
③任意集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14740a7d5ae646ae5df77b9b1da491a2.png)
④若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3965328b0ac0b62252134c8ccd05512.png)
其中,所有正确命题的序号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c7d57c35075ba85f4e524d06fb4cffc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09bb7c317f907cd7fda5ae49b24f2d41.png)
①任意集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c86226e5a06894e5c79443dd11301906.png)
②任意集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22c99aba48aeaf828dff4b78b2be7c4f.png)
③任意集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14740a7d5ae646ae5df77b9b1da491a2.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04ceb1f338fa60976229d7ec6531b626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3965328b0ac0b62252134c8ccd05512.png)
其中,所有正确命题的序号是
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解题方法
4 . 设
,
是两条不同的直线,
、
是两个不同的平面,给出下列四个命题:
① 如果
,那么
; ②如果![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828926e570a414e9dbc04a7bbcb65283.png)
, ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828926e570a414e9dbc04a7bbcb65283.png)
,那么
;
③如果
, ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828926e570a414e9dbc04a7bbcb65283.png)
, 那么
; ④如果
,
, ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828926e570a414e9dbc04a7bbcb65283.png)
, 那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5986f2991d45fbf3578f08f27d9fd7e.png)
其中正确命题的序号是( )
![](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/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
① 如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455b604f10c99dee2e294b88b7623c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bc8444d63d1ca92651c62fe9b220859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828926e570a414e9dbc04a7bbcb65283.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828926e570a414e9dbc04a7bbcb65283.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bc8444d63d1ca92651c62fe9b220859.png)
③如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5986f2991d45fbf3578f08f27d9fd7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828926e570a414e9dbc04a7bbcb65283.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73f345365fe0a1986b80299f7a99a306.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73f345365fe0a1986b80299f7a99a306.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bc8444d63d1ca92651c62fe9b220859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828926e570a414e9dbc04a7bbcb65283.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5986f2991d45fbf3578f08f27d9fd7e.png)
其中正确命题的序号是( )
A.① | B.② | C.③ | D.④ |
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5 . “设
是任意实数,若
,则
”是假命题,写出一个符合题意的c的值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13c960fa57440fcabc5b2cc086ccc64.png)
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6 . 设a,b,c是任意实数,能够说明“若c<b<a且ac<0,则ab<ac”是假命题的一组整数a,b,c的值依次为___________ .
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2021-10-22更新
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417次组卷
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6卷引用:北京市顺义牛栏山第一中学板桥学校2023-2024学年高一上学期10月月考数学试题
7 . 已知
与
皆是定义域、值域均为R的函数,若对任意
,
恒成立,且
与
的反函数
、
均存在,命题P:“对任意
,
恒成立”,命题Q:“函数
的反函数一定存在”,以下关于这两个命题的真假判断,正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab42740d8f095b5f7825d14c4c312096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c9afb528423ed6c19355ca8bd8f2359.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de90a13f6723cc871cd28cdd95022e63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1cc6d8b641605e578b6d2307b9644e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/753ddd380ed18f61bf76d52e1f3dc6ca.png)
A.命题P真,命题Q真 | B.命题P真,命题Q假 |
C.命题P假,命题Q真 | D.命题P假,命题Q假 |
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2021-05-29更新
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13卷引用:北京市海淀区2022-2023学年高三下学期5月月考模拟数学试题
北京市海淀区2022-2023学年高三下学期5月月考模拟数学试题北京市海淀区2023届高三高考数学模拟试题上海市青浦高级中学2022届高三下学期4月线上质量检测数学试题(已下线)1.2 逻辑用语与充分、必要条件(精练)-【一隅三反】2023年高考数学一轮复习(提升版)(新高考地区专用)(已下线)专题01 集合与逻辑(模拟练)2019年上海市控江中学高三三模数学试题上海市控江中学2021届高三三模数学试题(已下线)考向02 常用逻辑用语-备战2022年高考数学一轮复习考点微专题(上海专用)(已下线)考向07 对数函数-备战2022年高考数学一轮复习考点微专题(上海专用)(已下线)考点02 命题及其关系、充分与必要条件-备战2022年高考数学(文)一轮复习考点帮上海市青浦高级中学2022届高三4月质检数学试题(已下线)第01讲 集合与逻辑-2(已下线)专题02 函数的概念与性质必考题型分类训练-2
8 . 已知集合
.由集合P中所有的点组成的图形如图中阴影部分所示,中间白色部分形如美丽的“水滴”.给出下列结论:
①“水滴”图形与y轴相交,最高点记为A,则点A的坐标为
;
②在集合P中任取一点M,则M到原点的距离的最大值为3;
③阴影部分与y轴相交,最高点和最低点分别记为C,D,则
;
④白色“水滴”图形的面积是
.
其中正确的有______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1acb5ecf750be19dca1629d1be63754.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/30/9eef0590-d37a-4411-9fb5-96bfcb307fc9.png?resizew=184)
①“水滴”图形与y轴相交,最高点记为A,则点A的坐标为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4fd84394e897ebf6c4814b841d427b.png)
②在集合P中任取一点M,则M到原点的距离的最大值为3;
③阴影部分与y轴相交,最高点和最低点分别记为C,D,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00a73f95b92dee46d63c5f0dc4316506.png)
④白色“水滴”图形的面积是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73e9521a4bda58b6a4cedac2d54fdca9.png)
其中正确的有
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2020-06-23更新
|
1266次组卷
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3卷引用:北京市东城区第五十五中学2024届高三上学期12月月考数学试题
9 . 设集合
是集合
的子集,对于
,定义
,给出下列三个结论:①存在
的两个不同子集
,使得任意
都满足
且
;②任取
的两个不同子集
,对任意
都有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1937b473e0054efd86946d7f1e166656.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d1979a813cd49d4ce8498a7d28cebb4.png)
;③任取
的两个不同子集
,对任意
都有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b59d87c83901169dbc36187cafcad46b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4619824c799fccaade38170b499a8504.png)
;其中,所有正确结论的序号是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b384d54d989c2762e3e9a4e00a70442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0f1373f0a8753574639ca51553b8e8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef485ffe3dba1f6ddd485e928791e83e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b384d54d989c2762e3e9a4e00a70442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0f1373f0a8753574639ca51553b8e8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15adf94a9e03ae232335f6fa1b99a16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d714d900ed955a451ee980623d980757.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b384d54d989c2762e3e9a4e00a70442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0f1373f0a8753574639ca51553b8e8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1937b473e0054efd86946d7f1e166656.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d1979a813cd49d4ce8498a7d28cebb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1e718f107d7a4548536ba6a6ea7ae16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b384d54d989c2762e3e9a4e00a70442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0f1373f0a8753574639ca51553b8e8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b59d87c83901169dbc36187cafcad46b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4619824c799fccaade38170b499a8504.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1e718f107d7a4548536ba6a6ea7ae16.png)
A.①② | B.②③ | C.①③ | D.①②③ |
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2020-02-09更新
|
2088次组卷
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13卷引用:中国人民大学附属中学2023-2024学年高一上学期数学统练(一)试题
中国人民大学附属中学2023-2024学年高一上学期数学统练(一)试题2020届北京市海淀区高三上学期期中数学试题北京交通大学附属中学2020-2021学年高一上学期期中练习数学试题北京市海淀区2021届高三模拟试题(一)北京市中关村中学2021-2022学年高一上学期期中阶段学情调研数学试题北京市景山学校2022届高三上学期期中考试数学试题(已下线)第1章 集合与常用逻辑用语-【优化数学】单元测试能力卷(人教B版2019)(已下线)思想05 第三篇 思想方法(测试卷)-2021年高考二轮复习讲练测(浙江专用)(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)考点47 推理与证明-备战2022年高考数学(文)一轮复习考点帮(已下线)专题01 集合-备战2022年高考数学(文)母题题源解密(全国乙卷)(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)专题1-2 简易逻辑题型归类-3
名校
10 . 设
,
,若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d285a4c557fc9748105b62ccd94b7859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2018-07-16更新
|
438次组卷
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6卷引用:北京市东城区第一七一中学2024届高三上学期12月月考数学试题