1 . 用符号“
”或“
”填空:
(1)设A为所有亚洲国家组成的集合,则中国______ A,美国______ A,印度______ A,英国______ A;
(2)0______
,0______
,-1______
,-1______
,3.14______
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
______
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
______
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
______
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8af2fdf1944afebb51cb6a5e6c74aadd.png)
______
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8af2fdf1944afebb51cb6a5e6c74aadd.png)
______
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
______
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
______
;
(3)0______
,1______
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a02d44492b51b0e08208fdc0d1707025.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e581739cffb5676d997a58ab10d58880.png)
(1)设A为所有亚洲国家组成的集合,则中国
(2)0
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cad135b14c9dcd83eab6618d7694c7b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/816a059c6e2211380b14f6391b3f2fb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cad135b14c9dcd83eab6618d7694c7b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d0ecd416d6dc3d886b7bf73fc285dde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/316ecb1589c3cc179e2f62507020771e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d0ecd416d6dc3d886b7bf73fc285dde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/316ecb1589c3cc179e2f62507020771e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8af2fdf1944afebb51cb6a5e6c74aadd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cad135b14c9dcd83eab6618d7694c7b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8af2fdf1944afebb51cb6a5e6c74aadd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d0ecd416d6dc3d886b7bf73fc285dde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/316ecb1589c3cc179e2f62507020771e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
(3)0
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5f5e5688b5c7e514ee72597690a7676.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1142225762d523cb276d5e85876cfeb0.png)
您最近一年使用:0次
2023-10-07更新
|
174次组卷
|
3卷引用:1.1 集合的概念与表示
23-24高二上·江苏·课后作业
2 . (1)若直线
,直线
,则
的充要条件为______ ;
(2)若直线
,直线
,则
的充要条件为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa4211831377655be51acaf182280085.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/266e3689cc366d5f0a7718ce9c20e818.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cdb9d8425d73a68731f30e0c0e22260.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c004caa71399373290a34d3551a73b77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ef3204c7b3fc5ba11254322f7071be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cdb9d8425d73a68731f30e0c0e22260.png)
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23-24高二上·江苏·课后作业
3 . 两条直线的垂直
(1)若直线
,直线
,则
的充要条件为________ ;
(2)若直线
,直线
,则
的充要条件为_____________ .
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa4211831377655be51acaf182280085.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/266e3689cc366d5f0a7718ce9c20e818.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ce08b357f11ef44c3e8207ac574422a.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c004caa71399373290a34d3551a73b77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ef3204c7b3fc5ba11254322f7071be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ce08b357f11ef44c3e8207ac574422a.png)
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4 . 集合的表示
(1)列举法:把集合的元素一个一个列举出来,放在____ 中.
(2)描述法
把集合所有元素的性质表示出来,写成
,其中
称为代表元,
表示______________ .
(1)列举法:把集合的元素一个一个列举出来,放在
(2)描述法
把集合所有元素的性质表示出来,写成
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a0742eef96eff9bdcdfa8c65f3e9884.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27c97d54952104950bfd7afc0176bbd0.png)
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23-24高一上·江苏·课后作业
5 . 集合的概念
(1)一般地,我们把研究对象统称为元素,把一些元素组成的总体叫做集合.集合通常用大写字母表示,元素通常用小写字母表示.从定义看,集合具有____ 、_____ 和______ .
(2)一般地,如果
是集合
中的元素,就说
属于集合
,记为_______ ,如果
不是集合
中的元素,就说
不属于集合
,记为_______ .
(3)自然数集记为_______ ,正整数集记为________ ,有理数集记为______ ,实数集记为_____ .
(4)如果两个集合
的元素完全相同,则称这两个集合相等,记为______ .
(1)一般地,我们把研究对象统称为元素,把一些元素组成的总体叫做集合.集合通常用大写字母表示,元素通常用小写字母表示.从定义看,集合具有
(2)一般地,如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(3)自然数集记为
(4)如果两个集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
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23-24高一上·江苏·课后作业
6 . (1)一般地,如果
,那么称:
是
的________ 条件,
的________ 条件.
(2)①如果
且
,那么称
是
的__________ 条件,简称______ 条件,记作_____ .
②如果
且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f3140e75ded8afae1d3d547890223a6.png)
,那么称
是
的_________________________ 条件;
③如果![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f3140e75ded8afae1d3d547890223a6.png)
且
,那么称
是
的_________________________ 条件;
④如果![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f3140e75ded8afae1d3d547890223a6.png)
且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f3140e75ded8afae1d3d547890223a6.png)
,那么称
是
的________________________ 条件.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/286271b0f732fd78cd4ef9f8bd4038de.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/e1c07c9c585ff6f2fecff0f5684d5c26.png)
(2)①如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/286271b0f732fd78cd4ef9f8bd4038de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b566aefb2f2a8fd1a5d8828e1e178ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
②如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/286271b0f732fd78cd4ef9f8bd4038de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f3140e75ded8afae1d3d547890223a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
③如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f3140e75ded8afae1d3d547890223a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b566aefb2f2a8fd1a5d8828e1e178ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
④如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f3140e75ded8afae1d3d547890223a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f3140e75ded8afae1d3d547890223a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
您最近一年使用:0次
23-24高一上·江苏·课后作业
7 . 存在量词和存在量词命题
(1)短语“存在一个”“至少有一个”在逻辑中通常叫做存在量词,用符号_________ 表示;
(2)含有存在量词的命题叫做存在量词命题,其一般形式为:_______
.其中,
为给定的集合,
是一个含有
的语句.
(1)短语“存在一个”“至少有一个”在逻辑中通常叫做存在量词,用符号
(2)含有存在量词的命题叫做存在量词命题,其一般形式为:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34322d6fb1368468b8435d4617d9d9b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27c97d54952104950bfd7afc0176bbd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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8 . 全称量词命题与存在量词命题的否定
(1)全称量词命题:
的否定为_____________ .
(2)存在量词命题:
的否定为______________ .
(1)全称量词命题:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac25527dadae26e2ff4fe1c24c358a92.png)
(2)存在量词命题:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3668e31d1f1e495e3cbbd78b2b49fefc.png)
您最近一年使用:0次
23-24高一上·江苏·课后作业
9 . 如果一个集合包含我们所研究问题中涉及的_____ 元素,那么就称这个集合为全集,全集通常记为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d30c2757cadb2af80ea041a1af853fe.png)
您最近一年使用:0次