加强定理证明教学,提高学生解题能力

Enhancing Theorem Proving Teaching and Improving Students'; Problem-Solving Ability

以"相似形"一章教学为例,浅谈在定理证明教学中,如何提高学生的解题能力。首先抓住定理证明的方法教学,其中浅谈以下几种方法:参数证题法,公比过渡法,间接证题法,构造三角形证题法。其次是注意定理的结语教学。还要重视定理应用数学中的能力培养。通过以上三种做法,就会对教学的重难点有所突破。

Exemplified by the teaching of ＆quot;similar triangles＆quot;, this paper briefly discusses how to improve students＆#39; problem-solving ability in theorem proving teaching. First, the teacher should master the methods of theorem teaching, mainly including pa-rameter proving method, common ratio transition method, indirect proving method and triangle construction method. Second, the teacher should pay attention to the ending part of theorems, as well as ability cultivation in theorem application. Through the above measures, key and difficult points may be broken through.