数学归纳法在新编北师大版教材各章节中都有着广泛的渗透.本文由握手问题引出一类形散而神似的问题,由点到面,由浅入深,由个性得出共性,由共性去指导个性,培养学生创新思维和解决问题的能力.握手问题参加一次聚会的每两人握一次手,则三个人共握手几次?四个人呢?n个人呢?分析三个人握手,每个人都要和其他 Mathematical induction has a wide range of penetration in the newly edited textbooks of Beijing Normal University. This paper presents a class of dispersive and quasi-problem issues from the handshake problem, from point to surface, from shallow to deep, from personality to commonality. Commonness to guide individuality, develop students’ ability to innovate thinking and solve problems. Handshaking issues Every two people who participate in a party hold one hand, then three people shake hands several times? Four people? n People? Analysis Three people shake hands, each Individuals and others must