∵2xy =(x+y)^2-(x^2+y^2) =(x+y)^2-1 =(x+y+1)(x+y-1)∴2xy/(x+y-1) =x+y+1 ≥-√[2(x^2+y^2)]+1 =1-√2,∴2xy/(x+y-1)的最小值为1-√2.