∵|2a-b|与(b-1)^2互为相反数,∴|2a-b|+(b-1)^2=0∴|2a-b|=0,(b-1)^2=0即2a-b=0,b-1=0解得b=1,a=1/2则(a+b)^3=(1/2+1)^3=27/8