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在数学课教学中,我常利用对称性来解题。我觉得利用这种思想方法指导解题有以下几点好处: 一、有助于解题方法的形成思想与方法(规律)有着密切的关系。思想是对某种事物或客观规俸的深刻认识;方法,则是认识事物和客观规律的过程和手段。因此,不管什么样的数学思想,都是运用一定的数学方法从客观事物中提取出来的。反之,运用一种数学思想进行数学教育也可以有助于方法的形成。例1:在△ABC中,AD⊥BC,∠BAC=45°,BD=2cm,CD=3cm,求△ABC的面积。这是一道常见的习题,《数学通报》1979年第6期曾介绍过这道题的五
In mathematics teaching, I often use symmetry to solve problems. I think the use of this way of thinking to guide the problem has the following advantages: First, contribute to the problem-solving approach to the formation of ideas and methods (laws) are closely related. The idea is a profound understanding of something or objective regulation; the method is the process and means of knowing things and objective laws. Therefore, no matter what kind of mathematical thinking, are some mathematical methods to extract from the objective things. Conversely, applying a mathematical philosophy to mathematics education can also contribute to the formation of methods. Example 1: In ABC, AD ⊥ BC, ∠ BAC = 45 °, BD = 2cm, CD = 3cm, find △ ABC area. This is a common problem. The Mathematics Bulletin, No. 6, 1979, introduced the five