解：因为|x+y-1|与|x-y+3|互为相反数所以|x+y-1|=0,|x-y+3|=0及x+y-1=0,x-y+3=0所以x=-1,y=2所以（x+y)²º¹¹=（-1+2)²º¹¹=1
x=-1,y=2,(X+Y)^2011=1
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