1、课后训练基础巩固1设集合MmZ|3m2,NnZ|1n3,则MN()A0,1 B1,0,1C0,1,2 D1,0,1,22设集合Ax|x1,Bx|2x2,则AB()Ax|x2 Bx|x1Cx|2x1 Dx|1x23已知集合A1,0,1,B1,1,则()AABA BABACAB DAB4设Ax|2x2pxq0,Bx|6x2(p2)x5q0,若AB,则AB()A BC D5已知全集Ux|2 012x2 012,Ax|0xa,若UAU,则实数a的取值范围是()Aa2 012 Ba2 012Ca2 012 D0a2 0126设集合I0,1,2,3,4为全集,集合A0,1,2,3,B2,3,4,则(IA)
2、(IB)()A0 B0,1C0,1,4 D0,1,2,3,47设集合A(x,y)|y4x6,B(x,y)|y4x,则AB_.8对于集合A,B,我们把集合x|xA,且xB叫做集合A与B的差集,记作AB.若A1,2,3,4,B3,4,5,6,则AB_.能力提升9设非空集合Ax|2a1x3a5,Bx|3x22,则能使A(AB)成立的a的集合是_10已知Ax|x22x80,Bx|x2axa2120若BAA,求实数a的取值范围11已知集合A4,2a1,a2,Ba5,1a,9,分别求适合下列条件的a的值:(1)9(AB);(2)9AB.12已知集合Px|2x5,Qx|k1x2k1,求当PQ时,实数k的取值
3、范围参考答案1B点拨:M2,1,0,1,N1,0,1,2,3,故MN1,0,12A点拨:如图,ABx|x23A4A点拨:AB,A,B.将分别代入方程2x2pxq0及6x2(p2)x5q0.联立,得解得Ax|2x27x40,Bx|6x25x10.AB.5D点拨:由题意知A,且AU,因此a0,且a2 012.故a的取值范围是0a2 012.6C点拨:IA4,IB0,1,(IA)(IB)0,1,47点拨:AB.81,2点拨:根据题意,ABx|xA,且xB,得AB1,2,3,43,4,5,61,29a|6a9点拨:A(AB),AB.A,则2a13a5,a6.由32a13a522,解得6a9.10解:若
4、BAA,则BA.又Ax|x22x802,4,集合B有以下三种情况:当B时,a24(a212)0,即a216,a4或a4.当B是单元素集合时,a24(a212)0,a4或a4.若a4,则B2A;若a4,则B2A.当B2,4时,2,4是方程x2axa2120的两个根,a2.综上可得,当BAA时,a的取值范围为a4或a2或a4.满足BAA的实数a的取值范围为a|4a4,且a211解:(1)9(AB),且9B,9A.2a19或a29.a5或a3.而当a3时,a51a2,故舍去a5或a3.(2)9AB,9(AB)由(1)得a5或a3,而当a5时,A4,9,25,B0,4,9,此时AB4,99,故a5舍去a3.12解:当Q时,2k1k1,即k2,满足条件当Q,即k2时,要使PQ,则k15或2k12,解得k4或.k2,k4.综上可知,k2或k4.