已知x+y=1,求1/2x^2+xy+1/2y^2的值.

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已知x+y=1,求1/2x^2+xy+1/2y^2的值.
已知x+y=1,求1/2x^2+xy+1/2y^2的值.

已知x+y=1,求1/2x^2+xy+1/2y^2的值.
1/2x^2+xy+1/2y^2
=1/2(x^2+2xy+y^2)
=1/2(x+y)^2
=1/2

1/2x^2+xy+1/2y^2
=1/2(x^2+2xy+y^2)
=1/2(x+y)^2
=1/2*1=1/2