已知x/3=y=z/2≠0,那么xy+yz+zx/x2−3y2+4z2=_.

问题描述:

已知

x
3
=y=
z
2
≠0,那么
xy+yz+zx
x2−3y2+4z2
=______.

x
3
=y=
z
2
≠0,得出:x=3y,z=2y,代入得:
=
xy+yz+zx
x2−3y2+4z2
=
3y2+2y2+6y2
9y2−3y2+16y2

=
11
22
=
1
2

故答案为:
1
2