Enrich strengthen and expand Shengyubeifenfa of Chinese remainder theorem

Abstract-In this note, we analyze the Sunzi´s problem and congruence expression_{αχ = 1(mod b)}, in which we paid the same importance on the two amounts of f f of the congruence expression. From this, it can be concluded that the relationship between relative multiplicators and αf_a,b + bf_b,a ± 1 = ab is a the new concept of symmetrical relationship. The new method based on this algorithms isdifferent from other algorithms.