1.集合A={(x,y)｜x-2y=1},B={(x,y)｜x+3y=6},则A∩B=,A∪B=2.集合A={x｜x^2-px+15=0},B={x｜x^2-5x+q=0,x∈Z},若A∪B={2,3,5},则A=,B=

Question

1.集合A={(x,y)｜x-2y=1},B={(x,y)｜x+3y=6},则A∩B=___,A∪B=___
2.集合A={x｜x^2-px+15=0},B={x｜x^2-5x+q=0,x∈Z},若A∪B={2,3,5},则A=___,B=___

Answer 1

1.A∩B={(3,1)},A∪B={(x,y)|x-2y=1或x+3y=6},2.AUB={2,3,5}x^2-px+15=0的解∈{2,3,5}而x^2-px+15=0的根x1,x2满足:x1*x2=15,所以A={3,5}则2∈B则有2^2-5*2+q=0即q=6由x^2-5x+6=0得：x1=2,x2=3所以B={2,3}即：A={3,5}...