Point, line and surface are the basic morphological elements of three-dimensional composition, and they are complex and interact with each other. The introduction of this concept is to learn the knowledge of solid geometry, so as to understand the classification and change of solid graphics. In the lecture, students were shown the process of changing points into lines, lines into planes and objects from planes, thus realizing that graphics are composed of points, lines and planes, that is, "planes intersect with planes into lines, and lines intersect with lines into points".

As a common mathematical geometry drawing software for teachers, the geometric sketchpad can help teachers to make teaching courseware for classroom demonstration, thus helping students to establish an intuitive understanding. Let's learn how to make animation courseware of point-line-surface transformation in geometric sketchpad.

A sample diagram of dynamic demonstration courseware with mutual transformation of points, lines and surfaces;

Template of Geometry Sketchpad Courseware —— Dynamic demonstration of mutual transformation of points, lines and surfaces

In the above courseware, the animation of point moving line, line moving surface and surface animal body is made by point value method. You can manually move the point P from the end point G of the line segment GH to the right. When you move to the point E, you will demonstrate the moving point straight line. When moving to point f, it is proved that the straight line moves into a plane; When moving to point H, demonstrate the surface moving body.

In addition, you can also use the control button to demonstrate, and click the "Point-Line-Face-Body-Transform" button to complete the transformation process of point-line-face at one time; Click the "Restore" button to restore to the initial state. In addition, you can use the operation buttons for step-by-step demonstration, and click the "inching in line" button to demonstrate the inching in line process; Click the "Line Opposite" button to demonstrate the line opposite process; Click the "Face Moving Body" button to demonstrate the process of face moving body.

With this courseware, we can demonstrate the mutual transformation process of points, lines and surfaces in class, so that we can know that geometric figures are composed of points, lines, surfaces and surfaces.