因为:(x+y)^2=a,(x-y)^2=b, 所以:x^2+2xy+y^2=a,xY2-2xy+y^2=b 所以:2(x^2+y^2)=a+b,4xy=a-b 解得:x^2+y^2=(a+b)/2,xy=(a-b)/4