∵ 丨x - √2丨+ 丨y + 1 / √2 丨= 0
∴ x - √2 = 0
y + 1 / √2 = 0
∴ x = √2 ,y = - 1 / √2 = - √2 / 2
∴ (x y)^ 2012 = （- √2 × √2 / 2）^ 2012 = （- 2 / 2）^ 2012 = 1