已知实数x,y满足2x-y≥0 x≤1 x+y+1≥0 则z=x^2-2xy+y^2已知实数x,y满足2x-y≥0 x≤1 x+y+1≥0 则z=x^2-2xy+y^2 的最大值

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已知实数x,y满足2x-y≥0 x≤1 x+y+1≥0 则z=x^2-2xy+y^2已知实数x,y满足2x-y≥0 x≤1 x+y+1≥0 则z=x^2-2xy+y^2 的最大值
已知实数x,y满足2x-y≥0 x≤1 x+y+1≥0 则z=x^2-2xy+y^2
已知实数x,y满足2x-y≥0 x≤1 x+y+1≥0 则z=x^2-2xy+y^2 的最大值

已知实数x,y满足2x-y≥0 x≤1 x+y+1≥0 则z=x^2-2xy+y^2已知实数x,y满足2x-y≥0 x≤1 x+y+1≥0 则z=x^2-2xy+y^2 的最大值
z=x^2-2xy+y^2 取最大值,可转化为u=|x-y|取最大值,
可行域2x-y≥0 ,x≤1, x+y+1≥0是△ABC,其中A(1,2),B(1,-2),C(-1/3,-2/3).
当x=1,y=-2时u取最大值3,
∴z=(x-y)^2取最大值9.