已知x+y=1,那么1/2x^2+xy+1/2y^2的值为_______

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已知x+y=1,那么1/2x^2+xy+1/2y^2的值为_______已知x+y=1,那么1/2x^2+xy+1/2y^2的值为_______已知x+y=1,那么1/2x^2+xy+1/2y^2的值

已知x+y=1,那么1/2x^2+xy+1/2y^2的值为_______
已知x+y=1,那么1/2x^2+xy+1/2y^2的值为_______

已知x+y=1,那么1/2x^2+xy+1/2y^2的值为_______
(1/2)x²+xy+(1/2)y²
=(1/2)(x²+2xy+y²)
=(1/2)(x+y)²
=(1/2)×1²
=1/2

(1/2)x²+xy+(1/2)y²
=(1/2)(x²+2xy+y²)
=(1/2)(x+y)²
=(1/2)×1²
=1/2

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