中图苔技术大荸数学系 University of Science and Technology of China DEPARTMENT OF MATHEMATICS 由归纳 ao=f(o) f(x1)-f(ro) flo,x, XI 1(f(x2)-f(x0) x1,x0 n=fLx 0 n数 学 系 University of Science and Technology of China DEPARTMENT OF MATHEMATICS ( ) 0 0 a = f x [ , ] ( ) ( ) 0 1 1 0 1 0 1 f x x x x f x f x a = − − = ( [ , ] [ , ]) [ , , ] 1 1 ( ) ( ) 2 0 1 0 2 1 0 2 1 1 2 0 2 0 2 1 2 f x x f x x f x x x x x a x x f x f x x x a − = − =         − − − − = 由归纳： [ , , ] n 0 n a = f x  x