1 . 设有下列四个命题:
:直线
上有两点到平面
的距离相等,则
;
:垂直于同一条直线的两个平面平行;
:平面
内不在同一条直线上三点到平面
的距离相等,则
;
:平行于同一条直线的两个平面平行.
则下列命题中所有真命题的序号为__________ .
①
; ②
;③
;④
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8be646cd52d7f2f1714e7542e75810f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daac3b69009a27d28fa04fd88c9bb102.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adad9633b73dfbbb3d84b4f15979e99e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87b21b872313f7d8c5b606981f954a1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/384a65ca1ee3d7d86b988ca34c885e18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fc119550ce4fc5f3d1daf996e7243bd.png)
则下列命题中所有真命题的序号为
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b5f69b4b75e017168e9d71cd0945182.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/586e98555015d11f2b8d8b7702965336.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85b4e53bf6e9c26e2f849d430d4e083f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b798cc94cdc2c9e71b9ab8227877ac2.png)
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2 . 设有下列四个命题:
:直线
上有两点到平面
的距离相等,则
;
:垂直于同一条直线的两个平面平行;
:平行于同一条直线的两个平面平行.
则下列命题中所有真命题的序号为__________ .
①
; ②
;③
;④
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8be646cd52d7f2f1714e7542e75810f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daac3b69009a27d28fa04fd88c9bb102.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adad9633b73dfbbb3d84b4f15979e99e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87b21b872313f7d8c5b606981f954a1e.png)
则下列命题中所有真命题的序号为
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b5f69b4b75e017168e9d71cd0945182.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0261756c63d0824342af77436492ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85b4e53bf6e9c26e2f849d430d4e083f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e109350933a929d1963c96447d53af08.png)
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名校
解题方法
3 . 已知
:函数
的定义域为
,
:函数
是
上的减函数.若“
或
”为真命题,“
且
”为假命题,则实数
的取值范围______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecf709b903244e847d254ca5ac65a332.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2cb4f5492969a4d9f524173c0c39414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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4 . 设
、
是两个不同的平面,
、
是两条不同的直线,
命题
若
,
,
,则
;
命题
若
,
,
,则
.
下列命题是真命题的是_______________ .
①
或
②
且
③
或
④
且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/384a65ca1ee3d7d86b988ca34c885e18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1754786a3367aca3da18ee3316e5b968.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f157205cb5cb4a538b09d989f2d9ae95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18839099fb51cb1dda11653615ad0a5c.png)
命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff259ba50b735db32427fc0ebfbdfdaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb26a220ed44c446105df7caa0f1063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f157205cb5cb4a538b09d989f2d9ae95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44eee93d951b5a5b892fbfb0acde47af.png)
下列命题是真命题的是
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffc1bb9d53a27d484396ad74d6a26e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e26b38e357c7d985656ba7bb3c794a5.png)
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名校
5 . 若
,
,如果对于
,
为假命题且
为真命题,则实数
的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01e2e5d8b4b3d02d6c333132a044700e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dec2830b1baeb0ffd73e89525d5ca68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a723aebd8e4221c887b883733101e19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1803511584bb172d9445a4c49ab6fde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
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6 . 十七世纪,法国数学家费马提出猜想:“当正整数
时,关于
的方程
没有正整数解”,经历三百多年,1995年英国数学家安德鲁怀尔斯给出了证明,使它终成费马大定理,则下列四个命题:
①对任意正整数
,关于
的方程
都没有正整数解;
②当正整数
,关于
的方程
至少存在一组正整数解;
③当正整数
,关于
的方程
至少存在一组正整数解;
④若关于
的方程
至少存在一组正整数解,则正整数
;
真命题的序号是_________ (写出所有真命题的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9153fb853cd99beec9e600a4eaf73fe8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3fb0c9c7e30bbc0ec8c3521577ee4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28cf3ff103818976acf8756551e0234c.png)
①对任意正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3fb0c9c7e30bbc0ec8c3521577ee4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28cf3ff103818976acf8756551e0234c.png)
②当正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9153fb853cd99beec9e600a4eaf73fe8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3fb0c9c7e30bbc0ec8c3521577ee4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28cf3ff103818976acf8756551e0234c.png)
③当正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20fb10a4901328825d6cd75b1e417a33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3fb0c9c7e30bbc0ec8c3521577ee4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28cf3ff103818976acf8756551e0234c.png)
④若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3fb0c9c7e30bbc0ec8c3521577ee4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28cf3ff103818976acf8756551e0234c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20fb10a4901328825d6cd75b1e417a33.png)
真命题的序号是
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解题方法
7 . 设命题
,命题
对任意
,都有
,命题
与
中有且仅有一个成立,则实数
的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2314b22525b56d106696dc05cf36b29b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/347761783913374a6db9f9308c475c7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0d85e1c45a8ce04aa22d9a1c667376f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2021-09-23更新
|
540次组卷
|
3卷引用:江苏省南京市第二十九中学2020-2021学年高一上学期10月月考数学试题
江苏省南京市第二十九中学2020-2021学年高一上学期10月月考数学试题(已下线)第一章 集合与常用逻辑用语 1.2 常用逻辑用语 1.2.2 全称量词命题与存在量词命题的否定广东省佛山市顺德区北滘中学2022-2023学年高一上学期第一次月考数学试题
名校
8 . 已知下面四个命题:
①“若
,则
或
”的逆否命题为“若
且
,则
”;
②“
”是“
”的充分不必要条件;
③命题P:存在
,使得
,则
:任意
,都有
;
④若P且q为假命题,则p,q均为假命题.
其中真命题有____________________ .
①“若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c581913b2d08b871608e939f29cb24b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38f0e9c04402a0ffdaa25c3e3c82c7dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e30c903d8f8a05332af0b19e7e40df3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/059eafaba1bb419030b566813c5bb04a.png)
②“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ccaa6e503b61e9ae78d8439cba2e328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d141f34f18f4802d04ef2e4e5e803aba.png)
③命题P:存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f07ad90ca228230b03f12eb48ee0c1d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d85685dd80e4f513558a36ccfbf21daf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffc1bb9d53a27d484396ad74d6a26e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f292aee4920c4e5c5c0f25ed9ea83f4b.png)
④若P且q为假命题,则p,q均为假命题.
其中真命题有
您最近一年使用:0次
2021-09-06更新
|
455次组卷
|
4卷引用:【全国百强校】甘肃省兰州市第一中学2019届高三9月月考数学(理)试题
【全国百强校】甘肃省兰州市第一中学2019届高三9月月考数学(理)试题(已下线)1-3 简单的逻辑联结词、全称量词与存在量词(高效训练)-2019版导学教程一轮复习数学(人教版)西藏昌都市第三高级中学2020-2021学年高二上学期期末数学试题广西玉林市第十一中学2021-2022学年高二下学期3月月考数学试题(文科)
9 . 下列四个命题:
①命题“若
,则
”的否命题是“若
,则
”;
②若命题
,则
;
③若
是
的充分条件,则
是
的必要条件;
④若命题“
”与命题“
或
”都是真命题,则命题
一定是真命题.
其中叙述正确的命题是__ (填序号)
①命题“若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3019b662e5dc2750bb6f9199d3250f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eae9ba258299eb489b490594397e23c.png)
②若命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb770dfb788204b0f7e50d94d762844c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00952684c68697f382c263dbffe84cca.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffc1bb9d53a27d484396ad74d6a26e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e26b38e357c7d985656ba7bb3c794a5.png)
④若命题“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffc1bb9d53a27d484396ad74d6a26e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
其中叙述正确的命题是
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10 . 命题“已知
,如果
,那么
或
”的逆否命题为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dcbca3478eae63853d2aab5332e2e56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3e217047dfea5315242f1ebe7a87fba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38f0e9c04402a0ffdaa25c3e3c82c7dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/515713922221bfa136afa32822bb7ad1.png)
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2021-08-11更新
|
430次组卷
|
3卷引用:上海市嘉定区封浜高级中学2019-2020学年高一上学期期中数学试题
上海市嘉定区封浜高级中学2019-2020学年高一上学期期中数学试题(已下线)第二章 常用逻辑用语核心专项练习-【提升专练】2021-2022学年高一数学新教材同步学案+课时对点练(苏教版2019必修第一册)贵州安顺市2023届上学期高三期末数学(文)试题