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几何图形的绘制,我们通常是用直尺和圆规,它们的配合几乎可以画出所有的欧氏几何图形。从某种意义上讲几何画板绘图是欧氏几何“尺规作图”的一种现代延伸。因为这种把所有绘图建立在基本元素点、线、圆上的做法和数学作图思维中公理化思想是一脉相承的。用几何画板探求椭圆的轨迹,可进一步理解椭圆的定义以及以动画形式展示动点轨迹如何形成椭圆。让学生在数学的实验过程中体验数学之美及培养学生的创新能力。几何画板绘图中,构造轨迹的前提条件是:选定两点,一点是在一条路径上的自由点和能够跟随此点运动的点即被动点。其中“
Geometry drawing, we usually use rulers and compasses, their cooperation can draw almost all the Euclidean geometry. In a sense, the geometric drawing board drawing is a modern extension of the Euclidean geometry. Because this all drawing based on the basic elements of point, line, circle approach and mathematical thinking in the axiomatic thinking is the same strain. Exploring the trajectory of an ellipse with a geometric drawing board further understands the definition of an ellipse and how animated circles show how the trajectories of moving points form an ellipse. Allow students to experience the beauty of mathematics in mathematics experiment and cultivate students’ innovative ability. Geometry drawing in the drawing, the construction of the trajectory of the prerequisite is: selected two points, one point is a free path in the path and can follow this point of movement that is passive point. among them”