《集合高考试题汇编》1.已知{(,)|20},{(,)|0}A x y ax y B x y x y b =++>=-+<,M 点的坐标为(1,1),若 ,M A M B ∈∉且,,a b 则应满足A.30a b >->且B.30a b >-<且C.30a b >-≤且D.30a b >-≥且【参考答案】D.2.已知集合,{|21},{|x U R M x N y y ==>==则A.M N N =B.MN N = C.()U M N R = D.(){0}U M N =【参考答案】D. 3.设全集U 是实数集R ,={|20},M x x -≥{|3},N x x =<则()U M N = A.{|23}x x ≤< B.{|2}x x < C.{|2}x x ≤ D.{|3}x x ≥【参考答案】B.4.设集合{|11},{|02}A x x B x x =-<<=<<,则A B =A.(0,1)B.(1,2)-C.(1,2)D.(1,0)-【参考答案】B.5.已知集合{1,2,3},{2,3,4},M N ==则A.M N ⊆B.N M ⊆C.{2,3}M N =D.{1,4}M N =【参考答案】C.6.设集合2{1,0,1},{|},M N x x x =-=≤则M N =A.{0}B.{0,1}C.{1,1}-D.{1,0,1}-【参考答案】B.7.已知集合{|123},{|24},A x x x B x x =<-≤<=-≤<或则_________.A B =【参考答案】(,4)-∞8.若集合{|2},{|}A x x B x x a =≤=≥满足{2},A B =则实数_____.a =【参考答案】29.已知集合{|1},{|},A x x B x x a =≤=≥且,A B R =则实数a 的取值范围是_________.【参考答案】(,2]-∞10.若集合{|1},{|02},A x x B x x =>=<<则_______.A B =【参考答案】(1,2)11.已知集合1{|2},{|0},1A x xB x x =<=>+则_______.A B = 【参考答案】(1,2)-12.若全集,U R =集合{|1}{|0},A x x x x =≥≤则_____.U A =【参考答案】(0,1)13.若集合2{|1},{|4},A x x B x x =≥=≤则_______.A B =【参考答案】[1,2]14.若集合{|210},{|12},A x x B x x =+>=-<则_______.A B = 【参考答案】1(,3)2-15.若集合{1,2,},{2,5}.A k B ==若{1,2,3,5}A B =,则____.k =【参考答案】316.已知集合3{|0},{|3},1x M x N x x x +=<=≤--则集合{|1}x x ≥= A.M N B.M N C.()R C M N D.()R C M N【参考答案】D.17.已知集合{|35},{|55},M x x N x x =-<≤=-<<则M N =A.{|55}x x -<<B.{|35}x x -<<C.{|55}x x -<≤D.{|35}x x -<≤【参考答案】B.18.已知,A B 均为集合{1,3,5,7,9}U =的子集,且{3},(){9},U A B B A ==则A =A.{1,3}B.{3,7,9}C.{3,5,9}D.{3,9}【参考答案】D.19.已知,M N 为集合I 的非空真子集,且,M N 不相等,若,I N M =∅则MN = A.M B.N C.I D.∅【参考答案】A.20.已知全集{0,1,2,3,4,5,6,7,8,9}U =,集合{0,1,3,5,8}A =,集合{2,4,5,6,8}B =,则 ()()U U A B =A.{5,8}B.{7,9}C.{0,1,3}D.{2,4,6}【参考答案】B.21.已知集合4{|0log 1},{|2},A x x B x x =<<=≤则A B =A.(0,1)B.(0,2]C.(1,2)D.(1,2]【参考答案】D.22.已知全集,U R ={|0},{|1},A x x B x x =≤=≥则()U A B =A.{|0}x x ≥B.{|1}x x ≤C.{|01}x x ≤≤D.{|01}x x <<【参考答案】D.23.设集合{|23},{|8},,S x x T x a x a S T R =->=<<+=则a 的取值范围是A.(3,1)--B.[3,1]--C.(,3][1,)-∞--+∞D.(,3)(1,)-∞--+∞【参考答案】A.24.设集合{|1},{|2},A x R x a T x R x b =∈-<=∈->若,A B ⊆则实数,a b 必满足 A.3a b +≤ B.3a b +≥ C.3a b -≤ D.3a b -≥【参考答案】D.25.已知集合1{|349},{|46,(0,)},A x R x x B x R x t t t=∈++-≤=∈=+-∈+∞则 集合_______.A B =【参考答案】[2,5]-26.已知集合{|23},{|()(2)0},A x R x B x R x m x =∈+<=∈--<且(1,),A B n =- 则____,_____.m n ==【参考答案】1,1m n =-=27..已知集合{|2},{|1},A x R x B x R x =∈≤=∈≤则A B =A.(,2]-∞B.[1,2]C.[2,2]-D.[2,1]-【参考答案】D.28.已知全集,U R =集合2{|20},A x x x =->则U A =A.[0,2]B.(0,2)C.(,0)(2,)-∞+∞D.(,0][2,)-∞+∞【参考答案】A.29.若集合{,,,}{1,2,3,4},a b c d =且下列四个关系：①1;a =②1;b ≠③2;c =④4d ≠有且仅有一个是正确的,则符合条件的有序数组(,,,)a b c d 的个数是_____________.【参考答案】630.满足1234{,,,},M a a a a ⊆且12312{,,}{,}M a a a a a =的集合M 的个数是A.1B.2C.3D.4【参考答案】B.31.集合2{0,2,},{1,},A a B a ==若{0,1,2,4,16},A B =则a 的值为A.0B.1C.2D.4【参考答案】D.32.已知全集,U R =集合{|12},M x x =-<则U M =A.{|13}x x -<<B.{|13}x x -≤≤C.{|13}x x x <->或D.{|13}x x x ≤-≥或【参考答案】D.33.设集合2{|60},M x x x =+-<{|13},N x x =≤≤则M N =A.[1,2)B.[1,2]C.(2,3]D.[2,3]【参考答案】A.34.已知全集{0,1,2,3,4}U =,集合{1,2,3}A =,集合{2,4}B =,则()U A B =A.{1,2,4}B.{2,3,4}C.{0,2,4}D.{0,2,3,4}35.已知集合{0,1,2}A =,集合{|,}B x y x A y A =-∈∈中元素的个数是A.1B.3C.5D.9【参考答案】C.36.设集合{|12},A x x =-<集合{|2,[0,2]}x B y y x ==∈,则A B =A.[0,2]B.(1,3)C.[1,3)D.(1,4)【参考答案】C.37.设集合2{|(1)37,},A x x x x R =-<+∈则集合A Z 中有______个元素.【参考答案】638.已知集合2{|log 2},A x x =≤(,)B a =-∞,若,A B ⊆则实数a 的取值范围是(,)c +∞,其中_____.c =【参考答案】439.设集合{1,1,3},A =-2{2,4},{3},B a a A B =++=则实数a 的值为________.【参考答案】140.已知集合{1,1,2,4},A =-{1,0,2},B =-则_____.A B =【参考答案】{1,2}-41.设集合222{(,)|(2),,},2m A x y x y m x y R =≤-+≤∈{(,)|2B x y m x y =≤+≤ 21,m +,}x y R ∈.若,A B ≠∅则实数m 的取值范围是__________.【参考答案】1[,2242.已知集合{1,2,4},A ={2,4,6},B =则_____.A B =【参考答案】{1,2,4,6}43.已知集合{2,1,3,4},A =--{1,2,3},B =-则_____.A B =【参考答案】{1,3}-44.定义集合运算：{|,,}.A B z z xy x A y B *==∈∈设{1,2},{0,2},A B ==则集合A B * 的所有元素之和为A.0B.2C.3D.6【参考答案】C.45.已知全集U A B =中有m 个元素,()()U U A B 中有n 个元素.若A B 非空,则A B 的元素个数为A.mnB.m n +C.n m -D.m n -【参考答案】D.46.若集合{|1,},A x x x R =≤∈2{|,},B y y x x R ==∈则A B =A.{|11}x x -≤≤B.{|0}x x ≥C.{|01}x x ≤≤D.∅【参考答案】C.47.若集合{|1213},A x x =-≤+≤2{|0},x B x x-=≤则A B = A.{|10}x x -≤< B.{|01}x x <≤ C.{|02}x x ≤≤ D.{|01}x x ≤≤【参考答案】B.48.若集合{1,1},A =-{0,2},B =则集合{|,,}z z x y x A y B =+∈∈中的元素个数为A.5B.4C.3D.2【参考答案】C.49.已知全集{1,2,3,4,5}U =,集合2{|320},A x x x =-+={|2,},B x x a a A ==∈则集合()U A B 中元素的个数为 A.1 B.2 C.3 D.4【参考答案】B.50.若不等式20x x -≤的解集为M ,函数()ln(1)f x x =-的定义域为N ,则M N =A.[0,1)B.(0,1)C.[0,1]D.(1,0]-【参考答案】A.51.集合{|12},A x x =-≤≤{|1},B x x =<则()R A B =A.{|1}x x >B.{|1}x x ≥C.{|12}x x <≤D.{|12}x x ≤≤【参考答案】D.52.设集合22{|cos sin ,},M y y x x x R ==-∈1{|N x x i=-<,i x 为虚数单位 },R ∈则M N =A.(0,1)B.(0,1]C.[0,1)D.[0,1]【参考答案】C.53.集合{|lg 0},M x x =>集合2{|4},N x x =≤则M N =A.(1,2)B.[1,2)C.(1,2]D.[1,2]【参考答案】C.54.设全集为,R 函数()f x =M ,则RM =A.[1,1]-B.(1,1)-C.(,1][1,)-∞-+∞D.(,1)(1,)-∞-+∞【参考答案】D.55.设集合{|0,},M x x x R =≥∈2{|1,},N x x x R =<∈则M N =A.[0,1]B.[0,1)C.(0,1]D.(0,1)【参考答案】B.56.已知集合{|23},A x x =-≤≤{|14},B x x x =<->或那么集合()R A B = A.{|24}x x -≤< B.{|34}x x x ≤≥或 C.{|21}x x -≤<- D.{|13}x x -≤≤【参考答案】D.57.集合2{|03},{|9}P x Z x M x R x =∈≤<=∈≤,则P M =A.{1,2}B.{0,1,2}C.{|03}x x ≤<D.{|03}x x ≤≤【参考答案】B.58.已知集合2{|1},{}.P x x M a =≤=若,P M P =则a 的取值范围是A.(,1]-∞-B.[1,)+∞C.[1,1]-D.(,1][1,)-∞-+∞【参考答案】C.59.已知集合{|320},{|(1)(3)0}.A x R x B x R x x =∈+>=∈+->则A B =A.(,1)-∞-B.2(1,)3--C.2(,2)3- D.(3,)+∞ 【参考答案】D.60.已知集合{1,0,1},{|11},A B x x =-=-≤<则A B =A.{0}B.{1,0}-C.{0,1}D.{1,0,1}-【参考答案】B.61.已知集合2{|20},{0,1,2},A x x x B =-==则A B =A.{0}B.{0,1}C.{0,2}D.{0,1,2}【参考答案】C.62.已知{|(1,0)(0,1),},{|(1,1)(1,1),}P m m R Q n n R ==+∈==+-∈a a b b 是两个向量集合,则P Q =A.{(1,1)}B.{(1,1)}-C.{(1,0)}D.{(0,1)}【参考答案】A.63.集合22{(,)|1},{(,)|3},416x x y A x y B x y y =+===则A B 的子集的个数是 A.4 B.3 C.2 D.1【参考答案】A.64.已知21{|log ,1},{|,2},U y y x x P y y x x==>==>则U P = A.1[,)2+∞ B.1(0,)2 C.(0,)+∞ D.1(,0][,)2-∞+∞ 【参考答案】A.65.已知集合21{|()1},{|680},2x A x B x x x =≤=-+≤则()R A B = A.{|0}x x ≤ B.{|24}x x ≤≤C.{|024}x x x ≤<>或D.{|024}x x x <≤≥或【参考答案】C.66.设U 为全集,,A B 是集合,则“存在集合C 使得,U A C B C ⊆⊆”是“A B =∅”的A.充分不必要条件B.必要不充分条件C.充分必要条件D.既不充分也不必要条件【参考答案】C.67．已知集合{|212}M x x =-≤-≤和{|21,1,2,}N x x k k ==-=⋅⋅⋅的关系的韦恩图如图所示,则阴影部分所示的集合的元素共有A.3个B.2个C.1个D.无穷多个【参考答案】A.68.若集合{|21},A x x =-<<{|02},B x x =<<则集合A B =A.{|11}x x -<<B.{|21}x x -<<C.{|22}x x -<<D.{|01}x x <<【参考答案】D.69.集合22{(,)|,1},{(,)|,},A x y x y x y B x y x y y x =+===为实数且为实数且则A B的元素个数是A.4B.3C.2D.1【参考答案】C.70.设集合={12,3,4,5,6},{1,2,4},U M =，则U M =A.UB.{1,3,5}C.{3,5,6}D.{2,4,6}【参考答案】C.71.设集合={12,3},{4,5},{|,,}A B M x x a b a A b B ===+∈∈，,则M 中元素的个数为A.3B.4C.5D.6【参考答案】B.72.设集合22={|20,},{|20,},M x x x x R N x x x x R +=∈=-=∈则M N =A.{0}B.{0,2}C.{2,0}-D.{2,0,2}-【参考答案】D.73.已知集合={1,0,1},{0,1,2},M N -=则M N =A.{0,1}B.{1,0,2}-C.{1,0,1,2}-D.{1,0,1}-【参考答案】C.74.已知集合={|lg ,1},{2,1,1,2},A y R y x x B ∈=>=--则下列结论中正确的是A.{2,1}A B =--B.()(,0)R A B =-∞C.(0,)A B =+∞D.(){2,1}R A B =--【参考答案】D.75.若集合21={|213},{|0},3x A x x B x x+-<=<-则A B = A.1{|123}2x x x -<<-<<或 B. {|23}x x << C. 1{|2}2x x -<< D.1{|1}2x x -<<- 【参考答案】D.76.若集合121={|log },2A x x ≥则R A = A.2(,0](,)2-∞+∞ B.,)2+∞ C.2(,0][,)2-∞+∞ D.)2+∞ 【参考答案】A.77.已知集合={1,2,3,4,5,6},{4,5,6,7,8},A B =则满足S A S B ⊆≠∅且的集合S 的个数是A.57B.56C.49D.8【参考答案】B.78.设集合={|32},{|13},M m Z m N n Z n ∈-<<=∈-≤≤则M N =A.{0,1}B.{1,0,1}-C.{0,1,2}D.{1,0,1,2}-【参考答案】B.79.已知集合={1,3,5,7,9},{0,3,6,9,12},A B =则N A B =A.{1,5,7}B.{3,5,7}C.{1,3,9}D.{1,2,3}【参考答案】A.80.集合={4,5,7,9},{3,4,7,8,9},A B =全集U A B =,则集合()U A B 中的元素共有A.3个B.4个C.5个D.6个【参考答案】A.81.设集合{|3},A x x =>1{|0},4x B x x -=<-则A B = A.∅ B.(3,4) C.(2,1)- D.(4,)+∞【参考答案】B.82.已知集合{|2,},A x x x R =≤∈{4,},B x x Z =∈则A B = A.(0,2) B.[0,2] C.{0,2} D.{0,1,2}【参考答案】D.83.若集合{1,2,3,4,5},A ={(,)|,,},B x y x A y A x y A =∈∈-∈则集合B 中所含元素的个数为A.3B.6C.8D.10【参考答案】D.84.已知集合{A ={1,},,B m A B A ==则m =A.0B.03或C.1D.13或【参考答案】B.85.已知集合2{|20},{|A x x x B x x =->=<<则A.A B =∅B.A B R =C.B A ⊆D.A B ⊆【参考答案】B.86.已知集合2{|(1)4,}M x x x R =-<∈,{1,0,1,2,3}N =-,则M N =A.{0,1,2}B.{1,0,1,2}-C.{1,0,2,3}-D.{0,1,2,3}【参考答案】A.87.已知集合2{|230},{|22},A x x x B x x =--≥=-≤<则A B =A.[2,1]--B.[1,2)-C.[1,1]-D.[1,2)【参考答案】A.88.设集合{0,1,2}M =,2{|320},N x x x =-+≤则M N =A.{1}B.{2}C.{0,1}D.{1,2}【参考答案】D.89.设集合2{|340},M x x x =--<{|05},N x x =≤≤则M N =A.(0,4]B.[0,4)C.[1,0)-D.(1,0]-【参考答案】B.90.设集合{1,2,3,4,5},{2,4},{3,4,5},{3,4},U A B C ====则()()___.U A B C =【参考答案】{2,5}91.若{|3},{|21},x A x R x B x R =∈<=∈>则A B =_______.【参考答案】(0,3)92.设2{0,1,2,3},{|0},U A x U x mx ==∈+=若{1,2},U A =则实数_____.m =【参考答案】3-93.已知全集{1,2,3,4},U =集合{1,2},{2,3},A B ==则()U A B =A.{1,3,4}B.{3,4}C.{3}D.{4}【参考答案】D.94.设全集{|110},{1,2,3,5,8},{1,3,5,7,9}U n N n A B =∈≤≤==,则()__.U A B = 【参考答案】{7,9}95.已知,{|0},{|1},U R A x x B x x ==>=≤-则()()U U A B B A =A.∅B.{|0}x x ≤C.{|1}x x >-D.{|01}x x x >≤-或【参考答案】D.96.设,{|0},{|1},U R A x x B x x ==>=>则U A B =A.{|01}x x ≤<B.{|01}x x <≤C.{|0}x x <D.{|1}x x >【参考答案】B.97.设2{|4},{|4},P x x Q x x =<=<则A.P Q ⊆B.Q P ⊆C.R P Q ⊆D.R Q P ⊆【参考答案】B.98.设集合2{|14},{|230},A x x B x x x =<<=--≤则R A B =A.(1,4)B.(3,4)C.(1,3)D.(1,2)(3,4)【参考答案】B.99.设集合2{|2},{|340},S x x T x x x =>-=+-≤则()R S T =A.(2,1]-B.(,4]-∞-C.(,1]-∞D.[1,)+∞【参考答案】C.100.设全集{|2},U x N x =∈≥集合2{|5},A x N x =∈≥则U A =A.∅B.{2}C.{5}D.{2,5}【参考答案】B.101.设整数4,n ≥集合{1,2,3,,}.X n =⋅⋅⋅令集合{(,,)|,,,S x y z x y z X =∈且三条件xy <,z <,y z x <<}z x y <<恰好一个成立.若()x,y,z 和(,,)z w x 都在S 中,则下列选项中正确的是A.(),(,,)y,z,w S x y w S ∈∉B.(),(,,)y,z,w S x y w S ∈∈C.(),(,,)y,z,w S x y w S ∉∈D.(),(,,)y,z,w S x y w S ∉∉【参考答案】B.102.设S 是整数集Z 的非空子集,如果,,a b S ∀∈有,ab S ∈则称S 关于数的乘法是封闭的.若,T V 是Z 的两个不相交的非空子集,,T V Z =且,,,a b c T ∀∈有;abc T ∈,,,x y z V ∀∈ ,xyz T ∈则下列结论恒成立的是A.,T V 中至少有一个关于乘法是封闭的B.,T V 中至多有一个关于乘法是封闭的C.,T V 中有且只有一个关于乘法是封闭的D.,T V 中每一个关于乘法都是封闭的【参考答案】A.103.已知{2,3,4,5,6,7},{3,4,5,7},{2,4,5,6}U M N ===,则A.{4,6}M N =B.M N U =C.()U N M U =D.()U M N N =【参考答案】B.104.某班共30人,其中15人喜爱篮球运动,10人喜爱乒乓球运动,8人对这两项运动都不喜爱,则喜爱篮球运动但不喜爱乒乓球运动的人数为__________.【参考答案】12.105.已知集合{1,2,3},{2,,4},{2,3},A B m A B ===则____.m =【参考答案】3106.设全集{1,2,3,4,5},{2,4},U U M N M N ===则N =A.{1,2,3}B.{1,3,5}C.{1,4,5}D.{2,3,4}【参考答案】B.107.设集合2{1,0,1},{}},M N x x x =-==则M N =A.{1,0,1}-B.{0,1}C.{1}D.{0}【参考答案】B.108.已知集合{2,3,6,8},{2,3},{2,6,8},U A B ===则()U A B =____________.【参考答案】{6,8}109.已知集合{|2},{|13},A x x B x x A B =>=<<=则A.{|2}x x >B.{|1}x x >C.{|23}x x <<D.{|13}x x << 【参考答案】C.110.已知集合{|(2)(1)0},{|10},M x x x N x x M N =+-<=+<=则A.(1,1)-B.(2,1)-C.(2,1)--D.(1,2)【参考答案】C.111.已知全集{1,2,3,4,5,6,7,8},{1,3,5,7},{5,6,7},U M N ===则()U M N =A.{5,7}B.{2,4}C.{2,4,8}D.{1,3,5,6,7}【参考答案】C.。