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在平面几何的教学中,教师如能做到抓住一个问题,并根据这个问题的特征,从各个不同的方面去进行类比、联想、推广,引导学生发现和探索问题的内在联系及其规律,这样不仅能提高学生学习数学的兴趣和提高学生举一反三的解题能力,而且能养成学生自己去发现和研究问题的良好习惯,更能培养学生的创造思维能力,下面以初中《几何》第一份第205页第30题为例,加以说明。一、原题原题如图1在△ABC中,如果AB=30cm,BC=24Cm,CA=27cm,AE=EF=FB,
In the teaching of plane geometry, if teachers can grasp a problem and according to the characteristics of the problem, they can use analogy, association, and promotion from various aspects to guide students in discovering and exploring the internal relations and laws of the problem. This will not only improve students’ interest in learning mathematics and improve students’ ability to solve problems in an inverse manner, but also develop good habits for students to find and study problems on their own, and better cultivate students’ creative thinking skills. The following is the first of junior high school “Geometry”. For example, consider the 30th question on page 205. First, the original title of the problem as shown in Figure 1 in △ ABC, if AB = 30cm, BC = 24Cm, CA = 27cm, AE = EF = FB,