f(x-y.y⼀x)=x^2-y^2,求f(x,y)=?要过程哦

2025-06-26 22:49:34
推荐回答(2个)
回答1:

令x-y=m
y/x=n
y=nx
x-nx=m
x=m/(1-n)
y=mn/(1-n)

f(m,n)=x^2-y^2
=(x+y)(x-y)
=[m/(1-n)+mn/(1-n)]m
=m/(1-n)(1+n)*m
=m^2(1+n)/(1-n)
所以
f(x,y)=x^2(1+y)/(1-y)

回答2:

令x-y=m
y/x=n
y=nx
x-nx=m
x=m/(1-n)
y=mn/(1-n)

f(m,n)=x^2-y^2
=(x+y)(x-y)
=[m/(1-n)+mn/(1-n)]m
=m/(1-n)(1+n)*m
=m^2(1+n)/(1-n)
所以
f(x,y)=x^2(1+y)/(1-y)对了。。。哈哈