集合高考试题汇编

《集合高考试题汇编》1.已知{(,)|20},{(,)|0}AxyaxyBxyxyb,M点的坐标为(1,1),若,MAMB且,,ab则应满足A.30ab且B.30ab且C.30ab且D.30ab且【参考答案】D.2.已知集合2,{|21},{|12},xURMxNyyx则A.MNNB.MNNC.()UMNRðD.(){0}UMNð【参考答案】D.3.设全集U是实数集R,={|20},Mxx{|3},Nxx则()UMNðA.{|23}xxB.{|2}xxC.{|2}xxD.{|3}xx【参考答案】B.4.设集合{|11},{|02}AxxBxx,则AB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},MN则A.MNB.NMC.{2,3}MND.{1,4}MN【参考答案】C.6.设集合2{1,0,1},{|},MNxxx则MNA.{0}B.{0,1}C.{1,1}D.{1,0,1}【参考答案】B.7.已知集合{|123},{|24},AxxxBxx或则_________.AB【参考答案】(,4)8.若集合{|2},{|}AxxBxxa满足{2},AB则实数_____.a【参考答案】29.已知集合{|1},{|},AxxBxxa且,ABR则实数a的取值范围是_________.【参考答案】(,2]10.若集合{|1},{|02},AxxBxx则_______.AB【参考答案】(1,2)11.已知集合1{|2},{|0},1AxxBxx则_______.AB【参考答案】(1,2)12.若全集,UR集合{|1}{|0},Axxxx则_____.UAð【参考答案】(0,1)13.若集合2{|1},{|4},AxxBxx则_______.AB【参考答案】[1,2]14.若集合{|210},{|12},AxxBxx则_______.AB【参考答案】1(,3)215.若集合{1,2,},{2,5}.AkB若{1,2,3,5}AB,则____.k【参考答案】316.已知集合3{|0},{|3},1xMxNxxx则集合{|1}xxA.MNB.MNC.()RCMND.()RCMN【参考答案】D.17.已知集合{|35},{|55},MxxNxx则MNA.{|55}xxB.{|35}xxC.{|55}xxD.{|35}xx【参考答案】B.18.已知,AB均为集合{1,3,5,7,9}U的子集,且{3},(){9},UABBAð则AA.{1,3}B.{3,7,9}C.{3,5,9}D.{3,9}【参考答案】D.19.已知,MN为集合I的非空真子集,且,MN不相等,若,INMð则MNA.MB.NC.ID.【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()()UUAB痧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{|0log1},{|2},AxxBxx则ABA.(0,1)B.(0,2]C.(1,2)D.(1,2]【参考答案】D.22.已知全集,UR{|0},{|1},AxxBxx则()UABðA.{|0}xxB.{|1}xxC.{|01}xxD.{|01}xx【参考答案】D.23.设集合{|23},{|8},,SxxTxaxaSTR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},AxRxaTxRxb若,AB则实数,ab必满足A.3abB.3abC.3abD.3ab【参考答案】D.25.已知集合1{|349},{|46,(0,)},AxRxxBxRxttt则集合_______.AB【参考答案】[2,5]26.已知集合{|23},{|()(2)0},AxRxBxRxmx且(1,),ABn则____,_____.mn【参考答案】1,1mn27..已知集合{|2},{|1},AxRxBxRx则ABA.(,2]B.[1,2]C.[2,2]D.[2,1]【参考答案】D.28.已知全集,UR集合2{|20},Axxx则UAðA.[0,2]B.(0,2)C.(,0)(2,)D.(,0][2,)【参考答案】A.29.若集合{,,,}{1,2,3,4},abcd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(,,,)abcd的个数是_____________.【参考答案】630.满足1234{,,,},Maaaa且12312{,,}{,}Maaaaa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,},AaBa若{0,1,2,4,16},AB则a的值为A.0B.1C.2D.4【参考答案】D.32.已知全集,UR集合{|12},Mxx则UMðA.{|13}xxB.{|13}xxC.{|13}xxx或D.{|13}xxx或【参考答案】D.33.设集合2{|60},Mxxx{|13},Nxx则MN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()UABðA.{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{|,}BxyxAyA中元素的个数是A.1B.3C.5D.9【参考答案】C.36.设集合{|12},Axx集合{|2,[0,2]}xByyx,则ABA.[0,2]B.(1,3)C.[1,3)D.(1,4)【参考答案】C.37.设集合2{|(1)37,},AxxxxR则集合AZ中有______个元素.【参考答案】638.已知集合2{|log2},Axx(,)Ba,若,AB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},BaaAB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_____.AB【参考答案】{1,2}41.设集合222{(,)|(2),,},2mAxyxymxyR{(,)|2Bxymxy21,m,}xyR.若,AB则实数m的取值范围是__________.【参考答案】1[,22]242.已知集合{1,2,4},A{2,4,6},B则_____.AB【参考答案】{1,2,4,6}43.已知集合{2,1,3,4},A{1,2,3},B则_____.AB【参考答案】{1,3}44.定义集合运算：{|,,}.ABzzxyxAyB设{1,2},{0,2},AB则集合AB的所有元素之和为A.0B.2C.3D.6【参考答案】C.45.已知全集UAB中有m个元素,()()UUAB痧中有n个元素.若AB非空,则AB的元素个数为A.mnB.mnC.nmD.mn【参考答案】D.46.若集合{|1,},AxxxR2{|,},ByyxxR则ABA.{|11}xxB.{|0}xxC.{|01}xxD.【参考答案】C.47.若集合{|1213},Axx2{|0},xBxx则ABA.{|10}xxB.{|01}xxC.{|02}xxD.{|01}xx【参考答案】B.48.若集合{1,1},A{0,2},B则集合{|,,}zzxyxAyB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},Axxx{|2,},BxxaaA则集合()UABð中元素的个数为A.1B.2C.3D.4【参考答案】B.50.若不等式20xx的解集为M,函数()ln(1)fxx的定义域为N,则MNA.[0,1)B.(0,1)C.[0,1]D.(1,0]【参考答案】A.51.集合{|12},Axx{|1},Bxx则()RABðA.{|1}xxB.{|1}xxC.{|12}xxD.{|12}xx【参考答案】D.52.设集合22{|cossin,},MyyxxxR1{|2,Nxxi,ix为虚数单位},R则MNA.(0,1)B.(0,1]C.[0,1)D.[0,1]【参考答案】C.53.集合{|lg0},Mxx集合2{|4},Nxx则MN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2()1fxx的定义域为M,则RMðA.[1,1]B.(1,1)C.(,1][1,)D.(,1)(1,)【参考答案】D.55.设集合{|0,},MxxxR2{|1,},NxxxR则MNA.[0,1]B.[0,1)C.(0,1]D.(0,1)【参考答案】B.56.已知集合{|23},Axx{|14},Bxxx或那么集合()RABðA.{|24}xxB.{|34}xxx或C.{|21}xxD.{|13}xx【参考答案】D.57.集合2{|03},{|9}PxZxMxRx,则PMA.{1,2}B.{0,1,2}C.{|03}xxD.{|03}xx【参考答案】B.58.已知集合2{|1},{}.PxxMa若,PMP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}.AxRxBxRxx则AB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},ABxx则AB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},AxxxB则AB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),}PmmRQnnRaabb是两个向量集合,则PQA.{(1,1)}B.{(1,1)}C.{(1,0)}D.{(0,1)}【参考答案】A.63.集合22{(,)|1},{(,)|3},416xxyAxyBxyy则AB的子集的个数是A.4B.3C.2D.1【参考答案】A.64.已知21{|log,1},{|,2},UyyxxPyyxx则UPðA.1[,)2B.1(0,)2C.(0,)D.1(,0][,)2【参考答案】A.65.已知集合21{|()1},{|680},2xAxBxxx则()RABðA.{|0}xxB.{|24}xx