图中所示，各区域内的数表示该区域所含有的元素数量。如果 n ( ξ ) = 40 n\left(\xi\right)=40 n ( ξ ) = 4 0 ，求 n [ ( A ∪ B ∪ C ) ′ ] n\left[\left(A\cup B\cup C\right)'\right] n [ ( A ∪ B ∪ C ) ′ ] 。

{ 1 , 2 , 4 , 5 , 6 , 7 , 8 } \left\{1,2,4,5,6,7,8\right\} { 1 , 2 , 4 , 5 , 6 , 7 , 8 }

{ 33 } \left\{33\right\} { 3 3 }

A ={x| x ∈ R , 5 ≤ x ≤ 6 x\in R,\ 5\le x\le6 x ∈ R , 5 ≤ x ≤ 6 } 请问集合A是有限集还是无限集？如果是有限集，写出该集合的基数。

有限集， n ( A ) = 10 n\left(A\right)=10 n ( A ) = 1 0

设 ξ = { 0 , 1 , 2 , 3 , 4 , 5 , 6 } ， A = { 1 , 2 , 4 , 5 } \xi=\left\{0,1,2,3,4,5,6\right\}，A=\left\{1,2,4,5\right\} ξ = { 0 , 1 , 2 , 3 , 4 , 5 , 6 } ， A = { 1 , 2 , 4 , 5 } ，求 A' 。

{ 0 , 3 , 6 } \left\{0,3,6\right\} { 0 , 3 , 6 }

{ 1 , 2 , 4 , 5 } \left\{1,2,4,5\right\} { 1 , 2 , 4 , 5 }

{ 0 , 1 , 2 , 3 , 4 , 5 , 6 } \left\{0,1,2,3,4,5,6\right\} { 0 , 1 , 2 , 3 , 4 , 5 , 6 }

设 A = { 1 , 3 , 4 , 5 , 11 , 14 } A=\left\{1,3,4,5,11,14\right\} A = { 1 , 3 , 4 , 5 , 1 1 , 1 4 } ， B = { 3 , 5 , 14 } B=\left\{3,5,14\right\} B = { 3 , 5 , 1 4 } ，求B \ A。

{ 3 , 5 , 14 } \left\{3,5,14\right\} { 3 , 5 , 1 4 }

{ 1 , 4 , 11 } \left\{1,4,11\right\} { 1 , 4 , 1 1 }

{ 1 , 3 , 4 , 5 , 11 , 14 } \left\{1,3,4,5,11,14\right\} { 1 , 3 , 4 , 5 , 1 1 , 1 4 }

求 ( A ∪ C ) ′ \left(A\cup C\right)' ( A ∪ C ) ′ 。

{ 0 , 5 , 6 , 12 } \left\{0,5,6,12\right\} { 0 , 5 , 6 , 1 2 }

{ 1 , 2 , 3 , 4 , 7 , 8 , 9 , 10 , 11 } \left\{1,2,3,4,7,8,9,10,11\right\} { 1 , 2 , 3 , 4 , 7 , 8 , 9 , 1 0 , 1 1 }

{ 0 , 1 , 2 , 3 , 4 , 7 , 8 , 9 , 10 , 11 , 12 } \left\{0,1,2,3,4,7,8,9,10,11,12\right\} { 0 , 1 , 2 , 3 , 4 , 7 , 8 , 9 , 1 0 , 1 1 , 1 2 }

{ 5 , 6 } \left\{5,6\right\} { 5 , 6 }

求 A ∪ B ′ A\cup B' A ∪ B ′ 。

{ 0 , 1 , 2 , 3 , 4 , 7 , 8 , 9 , 10 , 11 , 12 } \left\{0,1,2,3,4,7,8,9,10,11,12\right\} { 0 , 1 , 2 , 3 , 4 , 7 , 8 , 9 , 1 0 , 1 1 , 1 2 }

{ 0 , 2 , 3 , 4 , 7 , 8 , 10 , 11 , 12 } \left\{0,2,3,4,7,8,10,11,12\right\} { 0 , 2 , 3 , 4 , 7 , 8 , 1 0 , 1 1 , 1 2 }

{ 2 , 3 , 4 , 7 , 8 , 10 , 11 } \left\{2,3,4,7,8,10,11\right\} { 2 , 3 , 4 , 7 , 8 , 1 0 , 1 1 }

{ 1 , 2 , 3 , 4 , 7 , 8 , 9 , 10 , 11 } \left\{1,2,3,4,7,8,9,10,11\right\} { 1 , 2 , 3 , 4 , 7 , 8 , 9 , 1 0 , 1 1 }

如图，判断下列哪些资讯与图相符

n ( G ∪ H ) = 3 n\left(G\cup H\right)=3 n ( G ∪ H ) = 3

G \ H = { 1 , 3 , 5 } \left\{1,3,5\right\} { 1 , 3 , 5 }

第九章集合论测验

Authored by 蔡佩芸蔡佩芸

Mathematics

8th Grade

Used 16+ times

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

设 $A=\left\{2,4,5,8,9,10\right\}$ ， $B=\left\{1,3,6,7,8,9,11\right\}$ ，求 A\B

{ 1,3,6,7,11 }

{ 2,4,5,10 }

{ 8,9 }

MULTIPLE SELECT QUESTION

1 min • 1 pt

设 A = {x|x是9的因数}，问下列哪些关系是正确的？

$3\in A$

$\left\{3\right\}\in A$

$3\subset A$

$\left\{3\right\}\subset A$

FILL IN THE BLANKS QUESTION

1 min • 1 pt

请列出集合X所有的元素（小到大）。
只接受英文的逗号（,）

(a)

MULTIPLE CHOICE QUESTION

1 min • 1 pt

求 $n\left(X\cap Y\cap Z\right)$ 。

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

图中所示，各区域内的数表示该区域所含有的元素数量。如果 $n\left(\xi\right)=40$ ，求 $n\left[\left(A\cup B\cup C\right)'\right]$ 。

$\left\{1,2,4,5,6,7,8\right\}$

$\left\{33\right\}$

MULTIPLE CHOICE QUESTION

1 min • 1 pt

集合Q={ x|x是小于 7 的正偶数 } 有多少个子集？

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

A ={x| $x\in R,\ 5\le x\le6$ }

请问集合A是有限集还是无限集？如果是有限集，写出该集合的基数。

无限集

有限集， $n\left(A\right)=10$

MULTIPLE SELECT QUESTION

2 mins • 1 pt

下列哪些元素属于集合 $A\cup B$ ？

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

设 $\xi=\left\{0,1,2,3,4,5,6\right\}，A=\left\{1,2,4,5\right\}$ ，求 A' 。

$\left\{1,2,4,5\right\}$

$\left\{0,1,2,3,4,5,6\right\}$

$\left\{0,3,6\right\}$

10.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

用 “ = ” 或 “ $\ne$ ” 填入下列空格内：
$\left\{1,2,3,4\right\}_{ }$ ______ B = {x|x是小于的 5 的自然数}

$=$

$\ne$

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第九章 集合论测验

设 A={2,4,5,8,9,10}A=\left\{2,4,5,8,9,10\right\}A={2,4,5,8,9,10} ， B={1,3,6,7,8,9,11}B=\left\{1,3,6,7,8,9,11\right\}B={1,3,6,7,8,9,11} ，求 A\B

设 A = {x|x是9的因数}，问下列哪些关系是正确的？

请列出集合X所有的元素（小到大）。*只接受英文的逗号（,）* (a)

求 n(X∩Y∩Z)n\left(X\cap Y\cap Z\right)n(X∩Y∩Z) 。

图中所示，各区域内的数表示该区域所含有的元素数量。如果 n(ξ)=40n\left(\xi\right)=40n(ξ)=40 ，求 n[(A∪B∪C)′]n\left[\left(A\cup B\cup C\right)'\right]n[(A∪B∪C)′] 。

集合Q={ x|x是小于 7 的正偶数 } 有多少个子集？

A ={x| x∈R, 5≤x≤6x\in R,\ 5\le x\le6x∈R, 5≤x≤6 }请问集合A是有限集还是无限集？如果是有限集，写出该集合的基数。

下列哪些元素属于集合 A∪BA\cup BA∪B ？

设 ξ={0,1,2,3,4,5,6}，A={1,2,4,5}\xi=\left\{0,1,2,3,4,5,6\right\}，A=\left\{1,2,4,5\right\}ξ={0,1,2,3,4,5,6}，A={1,2,4,5} ，求 A' 。

用 “ = ” 或 “ ≠\ne​= ” 填入下列空格内： {1,2,3,4}\left\{1,2,3,4\right\}_{ }{1,2,3,4}​ ______ B = {x|x是小于的 5 的自然数}

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第九章集合论测验

设 $A=\left\{2,4,5,8,9,10\right\}$ ， $B=\left\{1,3,6,7,8,9,11\right\}$ ，求 A\B

请列出集合X所有的元素（小到大）。
只接受英文的逗号（,）

(a)

求 $n\left(X\cap Y\cap Z\right)$ 。

图中所示，各区域内的数表示该区域所含有的元素数量。如果 $n\left(\xi\right)=40$ ，求 $n\left[\left(A\cup B\cup C\right)'\right]$ 。

A ={x| $x\in R,\ 5\le x\le6$ }

请问集合A是有限集还是无限集？如果是有限集，写出该集合的基数。

下列哪些元素属于集合 $A\cup B$ ？

设 $\xi=\left\{0,1,2,3,4,5,6\right\}，A=\left\{1,2,4,5\right\}$ ，求 A' 。

用 “ = ” 或 “ $\ne$ ” 填入下列空格内：
$\left\{1,2,3,4\right\}_{ }$ ______ B = {x|x是小于的 5 的自然数}