1 . 在下列各题中,用符号“⇒”、“⇐”或“⇔”填空:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b53b86bd516400d6fa7dabb3603f31.png)
___________
;
(2)x是能被4整除的自然数___________ x是偶数;
(3)已知p,
,
是偶数___________
是偶数;
(4)甲是上海人___________ 甲是中国人;
(5)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ef4f3147db0f8f5fb6c42ab95ff42ed.png)
___________
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b53b86bd516400d6fa7dabb3603f31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f30c38d2fe07c0e51a077ff4776a8b84.png)
(2)x是能被4整除的自然数
(3)已知p,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b09dff00474041b60c6400acbd637b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaacfaef44a654c0a1c283ef03fc0550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e8573040ffcea3b270769c40c05aa23.png)
(4)甲是上海人
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ef4f3147db0f8f5fb6c42ab95ff42ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39d5f0d374837655cc286d326305da36.png)
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2 . 选择正确的选项填空:
A.充分非必要 B.必要非充分 C.充要 D.既非充分也非必要
(1)“四边形的四条边相等”是“四边形是正方形”的______ 条件;
(2)“
”是“
”的______ 条件;
(3)“内错角相等”是“两直线平行”的______ 条件;
(4)“两个三角形全等”是“两个三角形相似”的_____ 条件;
(5)“
是无理数”是“
是无理数”的______ 条件;
(6)“
,
”是“
”的______ 条件;
(7)已知a,
,则“
”是“
”的______ 条件;
(8)“
”是“一元二次方程
有两个不同实根”的______ 条件;
(9)“
且
”是“
”的______ 条件;
(10)“
且
”是“
且
”的______ 条件.
A.充分非必要 B.必要非充分 C.充要 D.既非充分也非必要
(1)“四边形的四条边相等”是“四边形是正方形”的
(2)“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fe465ffd37135143da507d5797ed819.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/075e6bc3f63c4a64da04bc536fbe8127.png)
(3)“内错角相等”是“两直线平行”的
(4)“两个三角形全等”是“两个三角形相似”的
(5)“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fbb9c306da912756c1292f5a9988d91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(6)“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df7b5582e1931243dbb90b7591137f23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a1d065b7c597c8eb18bd48a59f05f1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea134f599285e3d32d2ab3e7186990.png)
(7)已知a,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d285a4c557fc9748105b62ccd94b7859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fb20e291772c2614ad19f4cc919dfec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3019b662e5dc2750bb6f9199d3250f1.png)
(8)“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4944b18a1daae0480089124e5551107f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13fa32c1e926f40a0722d106563777ef.png)
(9)“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e30c903d8f8a05332af0b19e7e40df3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31be670d32e753012125c503f2f3be56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e30c903d8f8a05332af0b19e7e40df3.png)
(10)“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9707dcd2a38e5cb5fe8222ccacb3e09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39d5f0d374837655cc286d326305da36.png)
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3 . 《渔樵问对》通过渔樵对话来消解古今兴亡等厚重话题,作者是邵雍,北宋儒家五子之一,下面是节选的一段译文:
樵者问渔者:“你如何钓到鱼?”
答:“我用六种物具钓到鱼.”
问:“六物具备,就能钓到鱼吗?”
答:“六物具备而钓上鱼,是人力所为六物具备而钓不上鱼,非人力所为.一不具,则鱼不可得.”
由此可知,“六物具备”是“能钓上鱼”的( )
(注:六物是指鱼杆、鱼线、鱼漂、鱼坠、鱼钩、鱼饵)
樵者问渔者:“你如何钓到鱼?”
答:“我用六种物具钓到鱼.”
问:“六物具备,就能钓到鱼吗?”
答:“六物具备而钓上鱼,是人力所为六物具备而钓不上鱼,非人力所为.一不具,则鱼不可得.”
由此可知,“六物具备”是“能钓上鱼”的( )
(注:六物是指鱼杆、鱼线、鱼漂、鱼坠、鱼钩、鱼饵)
A.充分不必要条件 | B.必要不充分条件 | C.充要条件 | D.既不充分也不必要条件 |
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2021-11-24更新
|
290次组卷
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4卷引用:北师大版(2019) 必修第一册 名校名师卷 第二单元 常用逻辑用语
20-21高一·江苏·课后作业
4 . 指出下列命题中,
是
的什么条件:
(l)
,
;
(2)
两直线平行,
同位角相等;
(3)
点在角的平分线上,
点到角的两边所在直线的距离相等;
(4)
斜边相等,
两直角三角形全等.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
(l)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1149929cdb3fb6dbefc2cde0ffcd5e31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24665952de1a40539ec5ccb2b4851833.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
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名校
5 . 下列四个命题中正确命题的个数是( )
①“
”是“
”的既不充分也不必要条件
②“三角形为正三角形”是“三角形为等腰三角形”的必要不充分条件
③
有实数根![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4eec37073b54ed2b1f4933911325b37.png)
④若集合
,则
是
的充分不必要条件
①“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c0aa2ef928b6e3341d0a0dc6d8055b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b83a660527359758db64e6566466293.png)
②“三角形为正三角形”是“三角形为等腰三角形”的必要不充分条件
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9ff52ec8dab4aaac7b28a0efe580d86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4eec37073b54ed2b1f4933911325b37.png)
④若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
A.1 | B.3 | C.2 | D.0 |
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2021-10-30更新
|
564次组卷
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5卷引用:广西河池市2021-2022学年高一上学期八校第一次联考数学试题
广西河池市2021-2022学年高一上学期八校第一次联考数学试题(已下线)专题01 集合与常用逻辑用语常考基础题型-2021-2022学年高一《新题速递·数学》(人教A版2019)吉林省长春市十一高中等四校联考2023-2024学年上学期第一次月考数学试题贵州省六盘水市纽绅中学2023-2024学年高一上学期9月月考数学试题吉林省四校联考2023-2024学年高一上学期10月月考数学试题
6 . 判断下列每小问中,p是q的什么条件(直接写出结论即可):
(Ⅰ)
,
;
(Ⅱ)p:关于x的方程
有两个不相等的实根,
;
(Ⅲ)p:四边形的对角线互相平分且长度相等,q:四边形是矩形;
(Ⅳ)p:两个三角形的三个角分别对应相等,q:两个三角形全等;
(Ⅴ)p:直线与圆有两个交点,q:直线上存在点到圆心的距离小于圆的半径.
(Ⅰ)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad8b22086cd32049276b1a5390348d0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9bfa481f89cad337cb00cab64d5dac.png)
(Ⅱ)p:关于x的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13fa32c1e926f40a0722d106563777ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c70593a243d263ddf6d56e7d09cbe8a3.png)
(Ⅲ)p:四边形的对角线互相平分且长度相等,q:四边形是矩形;
(Ⅳ)p:两个三角形的三个角分别对应相等,q:两个三角形全等;
(Ⅴ)p:直线与圆有两个交点,q:直线上存在点到圆心的距离小于圆的半径.
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名校
7 . 已知
,
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb8d1c1637e9307687e38168dfde7c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c6a98c51430ce317938be499e882155.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.对![]() ![]() ![]() |
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2021-09-15更新
|
301次组卷
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3卷引用:1.2.2充分条件和必要条件
名校
8 . 下列各命题中P是Q的充分不必要条件的是( )
A.P:![]() ![]() |
B.P:![]() ![]() |
C.P:四边形为菱形;Q:四边形的对角线垂直; |
D.P:![]() ![]() |
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2021-09-09更新
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1142次组卷
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7卷引用:浙江省杭州市富春区实验中学2021-2022学年高一上学期10月月考数学试题
2021高一·全国·专题练习
解题方法
9 . 指出下列各题中,
是
的什么条件?
(1)
:
的解集是
,
:
;
(2)
:
,
:
;
(3)
:
,
:
;
(4)
:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80d3aaea245ffe9b50c9af320e0c3f64.png)
:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5abdea09520a9022a2f1e07bf12afe6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6232dc74b15e4acb0ac3482a1cbe6a52.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f1af963126dde75a96b8518ba3eadec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf05f08d8c08b5c508c2e253faf50a95.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbbe46a98a8fdebfc46fcbc45dc88e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b05d2be27e8f53e4de3071846dffb41.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80d3aaea245ffe9b50c9af320e0c3f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/644c456af1ca1a731d0da23dd495048e.png)
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名校
10 . 下列四个选项中,
是
的充分必要条件的是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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2021-06-26更新
|
1598次组卷
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9卷引用:《常用逻辑用语》单元测试卷 - 2021-2022高一上学期数学新教材配套提升训练(人教A版2019必修第一册)
(已下线)《常用逻辑用语》单元测试卷 - 2021-2022高一上学期数学新教材配套提升训练(人教A版2019必修第一册)江西省金溪县第一中学2021-2022学年高一上学期第一次月考数学试题辽宁省实验中学2021届高三二模考试数学试题(已下线)专题03 灵活应用三法判断充要条件-备战2022年高考数学之学会解题必备方法技巧规律(全国通用)(已下线)考点02 常用逻辑用语-备战2022年高考数学学霸纠错(新高考专用)(已下线)考点02 命题及其关系、充分条件和必要条件-备战2022年高考数学典型试题解读与变式(已下线)专题2 常用逻辑用语-学会解题之高三数学321训练体系【2022版】(已下线)第02练 常用逻辑用语(已下线)考点02 常用逻辑用语-1-(核心考点讲与练)-2023年高考数学一轮复习核心考点讲与练(新高考专用)