论文部分内容阅读
知识的传授、巩固离不开例题的引路与示范,正确地作出知识迁移又需要通过例题来实现,训练思维、培养学生具有良好的思维品质就更需要发挥例题的典范作用了。因此,教师在传授知识、培养能力,发展智力的过程中,要善于引导学生分析典型例题,使例题的典范作用在学生思维中产生积极的,深远的影响,乃至关重要。本文就此介绍一些分析例题的常用方法,供参考。一结构分析法这种方法,就是引导学生对例题的条件或结论的表达式,分析其结构,联想其特征,由此产生一种简捷、新颍的思维方法。这种分析法有利于培养学生思维的求异性。例1 已知a、b、c均不为零,且acosa+bsina=c,acosβ+bs β-c,求证
The teaching and consolidation of knowledge is inseparable from the introduction and demonstration of examples, and the correct knowledge transfer needs to be achieved through examples. Training thinking and cultivating students with good thinking qualities also require the exemplary role of examples. Therefore, in the process of imparting knowledge, cultivating ability, and developing intelligence, teachers should be good at guiding students to analyze typical examples, so that the exemplary role of example questions has a positive and far-reaching impact on students’ thinking. This article introduces some commonly used methods for analyzing examples. A method of structural analysis is to guide students in the expression of the condition or conclusion of an example problem, analyze its structure, and associate its features. This leads to a simple, new way of thinking. This kind of analysis is conducive to training students to think differently. Example 1 It is known that a, b, and c are not zero, and acosa+bsina=c, acosβ+bs β-c, verification