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初中学生学到基本作图的时候,常常要问为什么作图工具限定要用直尺和圆规呢?画一条直线垂直于已知直线,明明用一块直角三角板就解决了,岂不又省事又方便?为什麽规定用直尺和圆规使作图步骤繁难起来呢?当学生提出了这样的问题,教师如何回答他们,这是本文所要讨论的。首选我们要指出现在中学里所学的几何学,在内容方面和二千年前欧几里得所建立起来的几何学基本上没有什么不同,当初为了测量和建筑上的需要,就需要一些关于线段、角、面积等等的知识,这些知识经过欧几里得系统的整理成为一门学问,就是现在中学里所学的几何学。在这些知识
When junior high school students learn to do basic drawing, they often ask why the drawing tools are limited to use rulers and compasses. Draw a straight line perpendicular to the known straight line. Obviously, a right-angled triangle board will solve the problem. Why is it necessary to use rulers and compasses to make the drawing process more difficult? When students ask such questions, how do teachers answer them? This is what this article will discuss. The first choice we have to point out is that the geometry studied in middle schools is basically no different from the geometry established by Euclidean 2,000 years ago. For the purpose of measurement and construction, we need some The knowledge of segments, angles, areas, etc., which has become a discipline through the collation of the Euclid system, is now the geometry studied in secondary schools. In this knowledge