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勾股定理是反映自然界基本规律的一条重要结论,是欧氏平面几何的一个核心结果,是三角学的出发点,在数学发展中起着重要的作用,在现实世界中也有着广泛的应用。为了使学生对勾股定理的本质属性有较好的理解和掌握,在教学的过程中有意识的进行变式教学,通过对例题进行多角度、多层次的演变探究,使一道题变成一类题,一类题变成多类题,使学生在不同角度、不同层次、不同情形、不同背景下构建对勾股定理及应用的认知。下面笔者就勾股定理的应用的三种类型的教学浅谈自己的做法。
The Pythagorean Theorem is an important conclusion that reflects the basic laws of nature. It is a core result of the Euclidean plane geometry. It is the starting point of trigonometry and plays an important role in the development of mathematics. It also has a wide range of applications in the real world. In order to make students better understand and grasp the nature of the Pythagorean theorem, they consciously carry on the variant teaching in the process of teaching. By making multi-angle and multi-level exploration on the examples, Questions, a class of questions into a variety of questions, so that students in different angles, different levels, different situations and different contexts to build the Pythagorean theorem and its application. The following author on the Pythagorean theorem of the three types of teaching about their own practices.