解题方法
1 . 已知集合
.
(1)当
时,请判断“
”是“
”的什么条件;(选择“充分不必要”“必要不充分”“充要”“既不充分也不必要”之一)
(2)若命题“
”是真命题,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e663a531d1ab0b302cb065b11b5fa0.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
(2)若命题“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c088bf17800cd47dd1b4d460a1a12ab5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023高一·江苏·专题练习
2 . 指出下列各题中,
是
的什么条件:
(1)
数
能被6整除,
数
能被3整除;
(2)
,
;
(3)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
有两个角相等,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
是正三角形;
(4)
,
.
![](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/51441c8788ff11be766766227793246d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3567dcfdb7139dde2ec0ef0670136132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/457185351773eeb5d216b3e8726acbbe.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97cc93a719bed81790e2d440aa40503a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6adbcb574dccb9d347938124d62cba1c.png)
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2023高一·江苏·专题练习
3 . 判断下列各题中p是q的什么条件.
(1)
,
中至少有一个不为零;
(2)
,
;
(3)
,
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c92d1d522c0fd2bd1c68ffd0eb03b880.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc7f0e7ed3cbf5854ddbef101cb0dc59.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59e14a703fe443268e81438d2e6c9eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/449d81fa137cd931af4d3495b3c3e5f7.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ad4f8652d23d91bc828a4e5b92df254.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81d6ffaedd9a6a80bb6281388d2f4048.png)
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4 . 指出下列各组命题中,p是q的什么条件?q是p的什么条件?(在“充分不必要”、“必要不充分”、“充要”、“既不充分又不必要”中选一种作答)
(1)p:x为自然数,q:x为整数;
(2)p:
,q:
;
(3)p:同位角相等,q:两直线平行;
(4)p:四边形的两条对角线相等,q:四边形是平行四边形.
(1)p:x为自然数,q:x为整数;
(2)p:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7cfada8fd642ddf968bfd4228d48ec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d217c7b12e12e5fb67472452518859ec.png)
(3)p:同位角相等,q:两直线平行;
(4)p:四边形的两条对角线相等,q:四边形是平行四边形.
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2023-04-14更新
|
200次组卷
|
2卷引用:第2课时 课前 充分条件与必要条件(完成)
名校
5 . 已知集合
.
(1)判断8、9、10是否属于集合A;
(2)已知
,证明:“
”的充分非必要条件是“
”.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b528ebb0e57c521e91fa0bad429ca915.png)
(1)判断8、9、10是否属于集合A;
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/503a6aba878045f13cf45b1e0fc7be7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cc4c15b1d62420f42732db3b626ce3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7a3a95a978c23259caf993285d987b3.png)
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2022-10-24更新
|
984次组卷
|
8卷引用:2.2 充分条件、必要条件、充要条件(5大题型)-【题型分类归纳】(苏教版2019必修第一册)
(已下线)2.2 充分条件、必要条件、充要条件(5大题型)-【题型分类归纳】(苏教版2019必修第一册)上海市朱家角中学2022-2023学年高一上学期10月月考数学试题2023年3月河北省普通高中学业水平合格性考试模拟(五)数学试题河南省周口恒大中学2022-2023学年高一下学期2月月考数学试题(已下线)1.4 充分条件与必要条件(5大题型)精讲-【题型分类归纳】(已下线)1.2 常用逻辑用语-高一数学同步精品课堂(沪教版2020必修第一册)贵州省黔西南州金成实验学校2023-2024学年高一上学期第一次月考数学试题上海市曹杨第二中学2023-2024学年高一上学期第一次月考(10月)数学试题
20-21高一·江苏·课后作业
6 . 《墨经》上说:“小故,有之不必然,无之必不然.体也,若有端.大故,有之必然,若见之成见也.”查阅有关资料,说明这一段文字的含义,并了解《墨经》的内容.
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20-21高一·江苏·课后作业
7 . 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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20-21高一·江苏·课后作业
8 . 下列所给的各组p, q中,p是q的什么条件?(在“充分不必要条件”“必要不充分条件”“充要条件”“既不充分也不必要条件”中选出一种)
(1)p:x>1,q:x2>1;
(2)p:四边形的对角线相等,q:四边形是矩形;
(3)p:两个三角形相似,q:两个三角形的对应角相等;
(4)p:x2-1=0,q:|x|-1=0.
(1)p:x>1,q:x2>1;
(2)p:四边形的对角线相等,q:四边形是矩形;
(3)p:两个三角形相似,q:两个三角形的对应角相等;
(4)p:x2-1=0,q:|x|-1=0.
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20-21高一·江苏·课后作业
9 . 下列所给的各组p,q中,p是q的充分条件的有哪些?
(1)p:三角形有一个内角是60°,q:三角形是正三角形;
(2)p:两个角相等,q:两个角是对顶角;
(3)p:四边形是平行四边形,q:四边形的对角线互相平分;
(4)p:
,q:
.
(1)p:三角形有一个内角是60°,q:三角形是正三角形;
(2)p:两个角相等,q:两个角是对顶角;
(3)p:四边形是平行四边形,q:四边形的对角线互相平分;
(4)p:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c0aa2ef928b6e3341d0a0dc6d8055b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
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2021高一·江苏·专题练习
10 . 已知命题
:“
,
”,命题
:“
,使得
”.试问
是
的什么条件?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c780149aef1bd77162e85f7f8906a6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/886606543383d11a4db8f21ac1e4e3bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1485a4756c56f1126b9825d5019d544c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f231c541c0ec4e70f14195d270610c70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
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