本文运用成分分析法研究经典的皮亚杰有关儿童“互反可逆性”的理论。通过建立有限三项推理问题的成分模型，证实了皮亚杰关于儿童认知发展的有关阶段理论的论述。互反可逆性的两个关键成分的发展情况大致是，先发展具有具体运算阶段色彩的互反可逆性运算成分，然后才发展完善形式运算阶段的成分；传递性整合运算成分发展在先，随后转化运算成分才逐步完善发展起来。 In this paper, we use the component analysis to study the classic Piaget’s theory of children’s “reciprocal reciprocity”. Through the establishment of a finite element model of the three inference problems, Piaget’s argument about the stage theory of children’s cognitive development is confirmed. The reciprocal reversibility of the two key components of the development of the situation is roughly the first to develop a specific computing phase of the reciprocal reciprocal of the reversible computing components, and then develop the perfect form of computing components; transitive integration of computing components developed first, then Conversion computing components gradually improved and developed.