x^2-7xy+12y^2=0
(x-3y)(x-4y)=0
x=3y或x=4y
当x=3y时
(x^2-2xy+y^2)/2xy
=(x-y)^2/2xy
=(3y-y)^2/2*3y*y
=4y^2/6y^2
=4/6
=2/3
当x=4y时
(x^2-2xy+y^2)/2xy
=(x-y)^2/2xy
=(4y-y)^2/2*4y*y
=9y^2/8y^2
=9/8
x^2-7xy+12y^2=0
(x-3y)(x-4y)=0
x=3y或x=4y
当x=3y时
(x^2-2xy+y^2)/2xy
=(x-y)^2/2xy
=(3y-y)^2/2*3y*y
=4y^2/6y^2
=4/6
=2/3
当x=4y时
(x^2-2xy+y^2)/2xy
=(x-y)^2/2xy
=(4y-y)^2/2*4y*y
=9y^2/8y^2
=9/8