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在平面图形中,五角星可能是最美丽的.它所焕发出的美让人惊叹不已,可谓美轮美奂,然而这种美不仅仅体现在视觉感受上,更深刻地体现在数学理论上,因为它蕴含着丰富的内涵美.在本文中我们首先谈谈五角星的标准画法,然后从几何、三角和代数三个方面分别探究该画法的理论基础.依据五角星画法的理论探索过程来演绎几何、三角和代数这三大基本数学分支之间的内在统一美.1五角星的画法1.如图1,以O为圆心,以r为半径画圆O,且作相互垂直的弦WE与NS.取OE的中点M,连结
The five-pointed star may be the most beautiful in the plane graphics, and the beauty it gives us is marvelous. It is not only beautiful in the visual sense, but also embodied in mathematical theory , Because it contains rich connotation beauty.In this paper, we first talk about the standard five-pointed star painting method, and then from three aspects of geometry, trigonometry and algebra to explore the theoretical basis of the painting method.According to the five-pointed star painting method Theoretical exploration process to deduce the inherent unity between the three basic mathematical branches of geometry, trigonometry and algebra.1 The drawing method of five-pointed star 1. As shown in Figure 1, taking O as the center of the circle and radius r as the circle O, The mutually perpendicular strings WE and NS take the midpoint M of the OE and connect