十年高考真题分类汇编(2010—2019)数学
专题01 集合
1.(2019?全国1?理T1)已知集合M={x|-4 B.{x|-4 2 2.(2019?全国1?文T2)已知集合U={1,2,3,4,5,6,7},A={2,3,4,5},B={2,3,6,7},则B∩?UA=( ) A.{1,6} B.{1,7}C.{6,7} D.{1,6,7} 3.(2019?全国2?理T1)设集合A={x|x2 -5x+6>0},B={x|x-1<0},则A∩B=( ) A.(-∞,1) B.(-2,1)C.(-3,-1) D.(3,+∞) 4.(2019?全国2?文T1)已知集合A={x|x>-1},B={x|x<2},则A∩B=( ) A.(-1,+∞) B.(-∞,2)C.(-1,2) D.? 5.(2019?全国3?T1)已知集合A={-1,0,1,2},B={x|x2 ≤1},则A∩B=( ) A.{-1,0,1} B.{0,1}C.{-1,1} D.{0,1,2} 6.(2019?北京?文T1)已知集合A={x|-1 B.(1,2)C.(-1,+∞) D.(1,+∞) 7.(2019?天津?T1)设集合A={-1,1,2,3,5},B={2,3,4},C={x∈R|1≤x<3},则(A∩C)∪B=( A.{2} B.{2,3}C.{-1,2,3} D.{1,2,3,4} 8.(2019?浙江?T1)已知全集U={-1,0,1,2,3},集合A={0,1,2},B={-1,0,1},则(?UA)∩B=( A.{-1} B.{0,1}C.{-1,2,3} D.{-1,0,1,3} 9.(2018?全国1?理T2)已知集合A={x|x2 -x-2>0},则?RA=( ) A.{x|-1 B.{x|-1≤x≤2} C.{x|x<-1}∪{x|x>2} D.{x|x≤-1}∪{x|x≥2} 10.(2018?全国1?文T1)已知集合A={0,2},B={-2,-1,0,1,2},则A∩B=( ) A.{0,2} B.{1,2}C.{0} D.{-2,-1,0,1,2} 11.(2018?全国2?文T2,)已知集合A={1,3,5,7},B={2,3,4,5},则A∩B=( ) A.{3} B.{5}C.{3,5} D.{1,2,3,4,5,7} 12.(2018?全国3?T1)已知集合A={x|x-1≥0},B={0,1,2},则A∩B=( ) A.{0} B.{1}C.{1,2} D.{0,1,2} 13.(2018?北京?T1)已知集合A={x||x|<2},B={-2,0,1,2},则A∩B=( ) A.{0,1} B.{-1,0,1} ) ) 1 C.{-2,0,1,2} D.{-1,0,1,2} 14.(2018?天津?理T1)设全集为R,集合A={x|0 B.{x|0 15.(2018?天津?文T1)设集合A={1,2,3,4},B={-1,0,2,3},C={x∈R|-1≤x<2},则(A∪B)∩C=( ) A.{-1,1} B.{0,1} C.{-1,0,1} D.{2,3,4} 16.(2018?浙江?T1)已知全集U={1,2,3,4,5},A={1,3},则?UA=( ) A.? B.{1,3}C.{2,4,5} D.{1,2,3,4,5} 17.(2018?全国2?理T2,)已知集合A={(x,y)|x2 +y2 ≤3,x∈Z,y∈Z},则A中元素的个数为( ) A.9 B.8 C.5 D.4 18.(2017?全国3?理T1,)已知集合A={(x,y)|x2 +y2=1},B={(x,y)|y=x},则A∩B中元素的个数为 A.3 B.2 C.1 D.0 19.(2017?全国1?理T1)已知集合A={x|x<1},B={x|3x <1},则( ) A.A∩B={x|x<0} B.A∪B=R C.A∪B={x|x>1} D.A∩B=? 20.(2017?全国2?理T2)设集合A={1,2,4},B={x|x2 -4x+m=0}.若A∩B={1},则B=( ) A.{1,-3} B.{1,0} C.{1,3} D.{1,5} 21.(2017?全国1?文T1)已知集合A={x|x<2},B={x|3-2x>0},则( ) A.A∩B={x|x<32} B.A∩B=? C.A∪B={x|x<32} D.A∪B=R 22.(2017?全国2?文T1)设集合A={1,2,3},B={2,3,4},则A∪B=( ) A.{1,2,3,4} B.{1,2,3} C.{2,3,4} D.{1,3,4} 23.(2017?全国3?文T1)已知集合A={1,2,3,4},B={2,4,6,8},则A∩B中元素的个数为( ) A.1 B.2 C.3 D.4 24.(2017?天津?理T1)设集合A={1,2,6},B={2,4},C={x∈R|-1≤x≤5},则(A∪B)∩C=( ) A.{2} B.{1,2,4} C.{1,2,4,6} D.{x∈R|-1≤x≤5} 2 25.(2017?北京?理T1)若集合A={x|-2 D.{x|1 26.(2017?北京?文T1)已知全集U=R,集合A={x|x<-2或x>2},则?UA=( ) A.(-2,2) B.(-∞,-2)∪(2,+∞) C.[-2,2] D.(-∞,-2]∪[2,+∞) 27.(2016?全国1?理T1)设集合A={x|x2 -4x+3<0},B={x|2x-3>0},则A∩B=( ) A.(-3,-3 2) B.(-3,3 2) C.(1,32 ) D.(32 ,3) 28.(2016?全国2?理T2)已知集合A={1,2,3},B={x|(x+1)(x-2)<0,x∈Z},则A∪B=( ) A.{1} B.{1,2} C.{0,1,2,3} D.{-1,0,1,2,3} 29.(2016?全国3?理T1)设集合S={x|(x-2)?(x-3)≥0},T={x|x>0},则S∩T=( ) A.[2,3] B.(-∞,2]∪[3,+∞) C.[3,+∞) D.(0,2]∪[3,+∞) 30.(2016?全国1?文T1)设集合A={1,3,5,7},B={x|2≤x≤5},则A∩B=( ) A.{1,3} B.{3,5}C.{5,7} D.{1,7} 31.(2016?全国2?文T1)已知集合A={1,2,3},B={x|x2 <9},则A∩B=( ) A.{-2,-1,0,1,2,3} B.{-2,-1,0,1,2} C.{1,2,3} D.{1,2} 32.(2016?全国3?文T1)设集合A={0,2,4,6,8,10},B={4,8},则?AB=( ) A.{4,8} B.{0,2,6} C.{0,2,6,10} D.{0,2,4,6,8,10} 33.(2016?四川?理T1)设集合A={x|-2≤x≤2},Z为整数集,则集合A∩Z中元素的个数是( A.3 B.4C.5 D.6 ) 3