1.已知x^2=y+2,y^2=x+2,求x^3+y^3-2xy2.已知a^2+a+1=0,求a^1980+a^1981+a^1982+……+a^20043.已知a^2+b^2+c^2=1,a(1/b+1/c)+b(1/c+1/a)+c(1/a+1/b)=-3,求a+b+c

已知x-y/x+y=3,求代数式5(x-y)/x+y-x+y/2(x-y) x-y/x-x+y/y-(x+y)(x-y)/y² y/x=2 已知x-y=3,求[（x+y)(x-y)-(x-y)^2+2y(x-y)]除以的值 已知3x =2y 求x/x+y+y/x-y-y²/x²-y² 已知f(x+y,y/x)=x^2-y^2,则f(x,y)= 已知|x|=2,|y|=3,|x+y|=-(x+y)求x-y 已知x≠y,x^2-x=y^2-y,求x+y的值. 已知x>0,Y>0,如何证x^2/y+y^2/x>=x+y 已知x+y=a,2x-y=-2a,求[（x/y-y/x)/(x+y)-x(1/x-1/y)]/[(x+1)/y]的值 已知2y-x=-3,求[4y(2x-y)-2x(2x-y)]/(2x-y 已知F(X+Y,X-Y)=X^2*Y+X*Y^2,则F(X,Y)=? 已知2/x+2/y=根号24,求 x/y(x-y) - y/x(x-y)的值 已知2/x 2/y=根号24,求 x/y(x-y) - y/x(x-y)的值 已知x/y=2,求2x(x+y)-y(x+y)/4x²-4xy+y² 已知x*x+4x+y*y-2y+5=0,则x*x+y*y=? 已知X*X+Y*Y+6X-8Y+25=0 求（Y/X)+(X/Y)-2=? 已知x*x-4xy+4y*y=0 求[2x(x+y)-y(x+y)]/(4x*x-4xy+y*y)的值? 已知2x=3y,则y分之x=< >,y分之x+y=< >.