一、填空题
1.(a,3a-1]为一确定的区间,则a的取值范围是________.
2.已知全集U={1,2,3,4,5,6,7,8},集合A={2,3,5,6},集合B={1,3,4,6,7},则集合 A∩(∁UB)等于______.
3.设集合A={1,-1,},B={1,a},A∩B=B,则a=______.
4.已知集合A,B均为集合U={1,3,5,7,9}的子集,若A∩B={1,3},(∁UA)∩B={5},则集合B=________.
5.设全集U=R,若集合A={1,2,3,4},B={x|2≤x≤3},则A∪(∁UB)=________.
6.设集合M={-1,0,1},N={a,a2},若M∩N=N,则a的值是________.
7.已知集合M={(x,y)|x+y=2},N={(x,y)|x-y=4},那么集合M∩N=________.
8.已知集合A={(x,y)||x-a|+|y-1|≤1},B={(x,y)|(x-1)2+(y-1)2≤1},若A∩B≠∅,则实数a的取值范围为________.
9.设U=R,集合A={x|x2+3x+2=0},B={x|x2+(m+1)x+m=0},若(∁UA)∩B=∅,则m的值是__________________________________________________________________.
10.已知集合A={x|2a≤x≤a+3},B={x|x<-1或x>5},若A∩B=∅,则a的取值范围是________________.