若x-y=2,则1/2(x2+y2)-xy=_.

问题描述:

若x-y=2,则

1
2
(x2+y2)-xy=______.

∵x-y=2,

1
2
(x2+y2)-xy=
1
2
(x2+y2-2xy)=
1
2
(x-y)2=
1
2
×22=2.
故答案为:2.