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几何画板被称为21世纪的动态几何.它是一个很小(只有909KB)的数理软件,其功能却非常强大.“动画”是它主要功能之一,实时度量出几何对象的数量(长度、距离、面积、方程、坐标、角度等)有别于其它教学软件的特点.我们可以利用几何画板解决“运动变化之中的不变问题”,观察分析图形变化的规律,从运动中把握不变性.本文论述的“面积最小原理”即是研究中发现的一个结论,这一结论可用来解决一大类问题,用途广范,具有一般性.写出来与同学们探讨.
Geometry board is called 21st century dynamic geometry. It is a small (only 909KB) mathematical software, but its function is very powerful. “Animation” is one of its main functions, measuring the number of geometric objects in real time (length, Distances, areas, equations, coordinates, angles, etc. are different from those of other teaching software. We can use Geometry Sketchpad to solve the “invariable problem in motion changes”, observe and analyze the laws of pattern changes, and grasp the invariance from movement. The “Minimum Principle of Area” discussed in this paper is a conclusion found in the research. This conclusion can be used to solve a wide range of problems. It is widely used and has generality. Write it out to discuss with the students.