(x,y)=(√3,1)解析:√3x-y-2=0...........①x²+(y-2)²=4.........②由①得,y=√3x-2.....③代入②,得:x²+(√3x-2-2)²=44x²-8√3x+16=44x²-8√3x+12=0x²-2√3x+3=0(x-√3)²=0x=√3将x=√3代入③,得:y=1综上,(x,y)=(√3,1)