a3-b3=a2-b2(a-b)(a2+ab+b2)=(a-b)(a+b)因为a不等于b所以a2+ab+b2=a+b(a+b)2-(a+b)=ab<(1/4)*(a+b)2(因a、b不等,不能等于)令t=a+b,化简得3t2-4t<0解不等式得0因为a^2+ab+b^2=a+b,化简后(a+b)(a+b-1)=ab,a+b-1=ab/(a+b)>0,所以a+b>1综上所述1