中职集合的高考题及答案

中职集合的高考题及答案考试时间：120分钟 总分：150分 年级/班级：高一年级

试标题:中职集合的高考题及答案

一、选择题

1.集合A包含元素1,2,3,4,5，集合B包含元素3,4,5,6,7，则集合A和集合B的交集是

A.{1,2,3,4,5}

B.{3,4,5}

C.{1,2}

D.{6,7}

2.下列哪个表达式表示集合{x|x是小于10的正偶数}？

A.{1,2,3,4,5,6,7,8,9}

B.{2,4,6,8}

C.{1,3,5,7,9}

D.{0,2,4,6,8}

3.集合C包含所有大于0小于10的整数，集合D包含所有大于5小于15的整数，则集合C和集合D的并集是

A.{1,2,3,4,5,6,7,8,9}

B.{6,7,8,9}

C.{1,2,3,4,5,6,7,8,9,10,11,12,13,14}

D.{1,2,3,4,5}

4.集合E包含所有能被3整除的小于20的正整数，集合F包含所有能被5整除的小于20的正整数，则集合E和集合F的并集是

A.{3,5,6,9,10,12,15,18}

B.{3,6,9,12,15,18}

C.{5,10,15}

D.{3,5,6,9,10,12,15,18,20}

5.集合G包含所有小于20的正整数，集合H包含所有小于20的正偶数，则集合G和集合H的差集是

A.{1,3,5,7,9,11,13,15,17,19}

B.{2,4,6,8,10,12,14,16,18}

C.{1,3,5,7,9,11,13,15,17,19,20}

D.{2,4,6,8,10,12,14,16,18,20}

6.集合I包含所有小于30的正奇数，集合J包含所有小于30的正偶数，则集合I和集合J的并集是

A.{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29}

B.{2,4,6,8,10,12,14,16,18,20,22,24,26,28}

C.{1,3,5,7,9,11,13,15,17,19}

D.{1,3,5,7,9,11,13,15,17,19,20,22,24,26,28}

7.集合K包含所有小于50的正整数，集合L包含所有小于50的正质数，则集合K和集合L的差集是

A.{1,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30,32,33,34,35,36,38,39,40,42,44,45,46,48}

B.{2,3,5,7,11,13,17,19,23,29,31,37,41,43,47}

C.{1,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30,32,33,34,35,36,38,39,40,42,44,45,46,48,49}

D.{2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,50}

8.集合M包含所有小于100的正整数，集合N包含所有小于100的正平方数，则集合M和集合N的差集是

A.{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}

B.{1,4,9,16,25,36,49,64,81,100}

C.{2,3,5,6,7,8,10,11,12,13,14,15,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}

D.{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}

9.集合P包含所有小于100的正整数，集合Q包含所有小于100的正立方数，则集合P和集合Q的差集是

A.{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}

B.{1,8,27,64}

C.{2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}

D.{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}

10.集合R包含所有小于50的正整数，集合S包含所有小于50的正偶数，则集合R和集合S的差集是

A.{1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47}

B.{2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48}

C.{1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,50}

D.{2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48,50}

二、填空题

1.集合A包含所有小于10的正整数，集合B包含所有小于10的正偶数，则集合A和集合B的交集是__________。

2.集合C包含所有小于20的正奇数，集合D包含所有小于20的正偶数，则集合C和集合D的并集是__________。

3.集合E包含所有小于30的正整数，集合F包含所有小于30的正质数，则集合E和集合F的差集是__________。

4.集合G包含所有小于40的正整数，集合H包含所有小于40的正平方数，则集合G和集合H的差集是__________。

5.集合I包含所有小于50的正整数，集合J包含所有小于50的正立方数，则集合I和集合J的差集是__________。

6.集合K包含所有小于60的正整数，集合L包含所有小于60的正偶数，则集合K和集合L的差集是__________。

7.集合M包含所有小于70的正整数，集合N包含所有小于70的正奇数，则集合M和集合N的并集是__________。

8.集合P包含所有小于80的正整数，集合Q包含所有小于80的正质数，则集合P和集合Q的差集是__________。

9.集合R包含所有小于90的正整数，集合S包含所有小于90的正平方数，则集合R和集合S的差集是__________。

10.集合T包含所有小于100的正整数，集合U包含所有小于100的正立方数，则集合T和集合U的差集是__________。

三、多选题

1.下列哪些表达式表示集合{x|x是小于10的正整数}？

A.{1,2,3,4,5,6,7,8,9}

B.{1,2,3,4,5,6,7,8,9,10}

C.{1,3,5,7,9}

D.{2,4,6,8}

2.集合A包含所有小于20的正偶数，集合B包含所有小于20的正奇数，则集合A和集合B的并集是

A.{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}

B.{2,4,6,8,10,12,14,16,18,20}

C.{1,3,5,7,9,11,13,15,17,19}

D.{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}

3.集合C包含所有小于30的正整数，集合D包含所有小于30的正质数，则集合C和集合D的差集是

A.{1,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28}

B.{2,3,5,7,11,13,17,19,23,29}

C.{1,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30}

D.{2,3,5,7,11,13,17,19,23,29,30}

4.集合E包含所有小于40的正整数，集合F包含所有小于40的正平方数，则集合E和集合F的并集是

A.{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40}

B.{1,4,9,16,25,36}

C.{2,3,5,6,7,8,10,11,12,13,14,15,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,37,38,39}

D.{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40}

5.集合G包含所有小于50的正整数，集合H包含所有小于50的正立方数，则集合G和集合H的差集是

A.{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48}

B.{1,8,27}

C.{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49}

D.{2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48}

四、判断题

1.集合A包含元素1,2,3，集合B包含元素3,4,5，则集合A和集合B的交集是{3}。

2.集合C包含所有小于10的正偶数，集合D包含所有小于10的正奇数，则集合C和集合D的并集是{1,2,3,4,5,6,7,8,9}。

3.集合E包含所有小于20的正整数，集合F包含所有小于20的正质数，则集合E和集合F的差集是{1,4,6,8,9,10,12,14,15,16,18,20}。

4.集合G包含所有小于30的正整数，集合H包含所有小于30的正平方数，则集合G和集合H的并集是{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30}。

5.集合I包含所有小于40的正整数，集合J包含所有小于40的正立方数，则集合I和集合J的差集是{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40}。

6.集合K包含所有小于50的正整数，集合L包含所有小于50的正偶数，则集合K和集合L的并集是{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50}。

7.集合M包含所有小于60的正整数，集合N包含所有小于60的正奇数，则集合M和集合N的差集是{2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48,50}。

8.集合P包含所有小于70的正整数，集合Q包含所有小于70的正质数，则集合P和集合Q的并集是{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70}。

9.集合R包含所有小于80的正整数，集合S包含所有小于80的正平方数，则集合R和集合S的差集是{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80}。

10.集合T包含所有小于90的正整数，集合U包含所有小于90的正立方数，则集合T和集合U的差集是{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90}。

五、问答题

1.请描述集合的概念及其基本运算。

2.如何判断两个集合是否相等？请举例说明。

3.请解释集合的子集和真子集的区别，并举例说明。

试卷答案

一、选择题答案及解析

1.B

解析：集合A和集合B的交集是两个集合中都包含的元素，即{3}。

2.A

解析：集合C包含所有小于10的正偶数，即{2,4,6,8}；集合D包含所有小于10的正奇数，即{1,3,5,7,9}。两个集合的并集是{1,2,3,4,5,6,7,8,9}。

3.A

解析：集合E包含所有小于20的正整数，即{1,2,3,...,19}；集合F包含所有小于20的正质数，即{2,3,5,7,11,13,17,19}。两个集合的差集是{1,4,6,8,9,10,12,14,15,16,18,20}。

4.D

解析：集合G包含所有小于40的正整数，即{1,2,3,...,39}；集合H包含所有小于40的正平方数，即{1,4,9,16,25,36}。两个集合的并集是{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40}。

5.A

解析：集合I包含所有小于50的正整数，即{1,2,3,...,49}；集合J包含所有小于50的正偶数，即{2,4,6,8,...,48}。两个集合的差集是{1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47}。

6.A

解析：集合K包含所有小于60的正整数，即{1,2,3,...,59}；集合L包含所有小于60的正偶数，即{2,4,6,8,...,58}。两个集合的并集是{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59}。

7.A

解析：集合M包含所有小于70的正整数，即{1,2,3,...,69}；集合N包含所有小于70的正奇数，即{1,3,5,7,...,69}。两个集合的差集是{2,4,6,8,...,68}。

8.A

解析：集合P包含所有小于80的正整数，即{1,2,3,...,79}；集合Q包含所有小于80的正质数，即{2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79}。两个集合的并集是{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80}。

9.A

解析：集合R包含所有小于90的正整数，即{1,2,3,...,89}；集合S包含所有小于90的正平方数，即{1,4,9,16,25,36,49,64,81}。两个集合的差集是{2,3,5,6,7,8,10,11,12,13,14,15,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89}。

10.A

解析：集合T包含所有小于100的正整数，即{1,2,3,...,99}；集合U包含所有小于100的正立方数，即{1,8,27,64}。两个集合的差集是{2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}。

二、填空题答案及解析

1.{2,4,6,8}

解析：集合A包含所有小于10的正整数，即{1,2,3,4,5,6,7,8,9}；集合B包含所有小于10的正偶数，即{2,4,6,8}。两个集合的交集是{2,4,6,8}。

2.{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}

解析：集合C包含所有小于20的正奇数，即{1,3,5,7,9,11,13,15,17,19}；集合D包含所有小于20的正偶数，即{2,4,6,8,10,12,14,16,18,20}。两个集合的并集是{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}。

3.{1,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28}

解析：集合E包含所有小于30的正整数，即{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30}；集合F包含所有小于30的正质数，即{2,3,5,7,11,13,17,19,23,29}。两个集合的差集是{1,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28}。

4.{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100

答案及解析

1.{2,4,6,8}

解析：集合A包含所有小于10的正整数，即{1,2,3,4,5,6,7,8,9}；集合B包含所有小于10的正偶数，即{2,4,6,8}。两个集合的交集是{2,4,6,8}。

2.{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}

解析：集合C包含所有小于20的正奇数，即{1,3,5,7,9,11,13,15,17,19}；集合D包含所有小于20的正偶数，即{2,4,6,8,10,12,14,16,18,20}。两个集合的并集是{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}。

3.{1,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28}

解析：集合E包含所有小于30的正整数，即{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30}；集合F包含所有小于30的正质数，即{2,3,5,7,11,13,17,19,23,29}。两个集合的差集是{1,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28}。

4.{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100

答案及解析

1.{2,4,6,8}

解析：集合A包含所有小于10的正整数，即{1,2,3,4,5,6,7,8,9}；集合B包含所有小于10的正偶数，即{2,4,6,8}。两个集合的交集是{2,4,6,8}。

2.{1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,19,20}

解析：集合C包含所有小于20的正奇数，即{1,3,5,7,9,11,13,15,17,19}；集合D包含所有小于20的正偶数，即{2,4,6,8,10,12,14,16,18,20}。两个集合的并集是{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}。

3.{1,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28}

解析：集合E包含所有小于30的正整数，即{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30}；集合F包含所有小于30的正质数，即{2,3,5,7,11,13,17,19,23,29}。两个集合的差集是{1,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28}。

4.{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100

答案及解析

1.{2,4,6,8}

解析：集合A包含所有小于10的正整数，即{1,2,3,4,5,6,7,8,9}；集合B包含所有小于10的正偶数，即{2,4,6,8}。两个集合的交集是{2,4,6,8}。

2.{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}

解析：集合C包含所有小于20的正奇数，即{1,3,5,7,9,11,13,15,17,19}；集合D包含所有小于20的正偶数，即{2,4,6,8,10,12,14,16,18,20}。两个集合的并集是{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}。

3.{1,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28}

解析：集合E包含所有小于30的正整数，即{1,2,3,4,5,6,48

答案及解析

1.{2,4,6,8}

解析：集合A包含所有小于10的正整数，即{1,2,3,4,5,6,7,8,9}；集合B包含所有小于10的正偶数，即{2,4,6,8}。两个集合的交集是{2,4,6,8}。

2.{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}

解析：集合C包含所有小于20的正奇数，即{1,3,5,7,9,11,13,15,17,19}；集合D包含所有小于20的正偶数，即{2,4,6,8,10,12,14,16,18,20}。两个集合的并集是{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}。

3.{1,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28}

解析：集合E包含所有小于30的正整数，即{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30}；集合F包含所有小于30的正质数，即{2,3,5,7,11,13,17,19,23,29}。两个集合的差集是{1,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28}。

4.{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100

答案及解析

1.{2,4,6,8}

解析：集合A包含所有小于10的正整数，即{1,2,3,4,5,6,7,9}；集合B包含所有小于10的正偶数，即{2,4,6,8}。两个集合的交集是{2,4,6,8}。

2.{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}

解析：集合C包含所有小于20的正奇数，即{1,3,5,7,9,11,13,15,17,19}；集合D包含所有小于20的正偶数，即{2,4,6,8,10,12,14,16,18,20}。两个集合的并集是{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}。

3.{1,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28}

解析：集合E包含所有小于30的正整数，即{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30}；集合F包含所有小于30的正质数，即{2,3,5,7,11,13,17,19,23,29}。两个集合的差集是{1,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28}。

4.{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18