x²+y²-4x+6y=(x-2)²+(y+3)²-10=0...............①x²+y²-6x=(x-3)²+y²-9=0...................................②园①的园心O₁(2,-3);园②的圆心O₂(3,0);园①和园②相交于A、B,那么AB的垂直平分线就是O₁O₂所在的直线,其方程为:(x-2)/(y+3)=(2-3)/(-3-0)(x-2)/(y+3)=1/33(x-2)=y+33x-y-9=0即为所求。