THE STUDY OF SECOND-ORDER SURFACES USING INFORMATION TECHNOLOGY

Abstract

In the course of analytical geometry, the topic of "Second-order surfaces" is one of the most difficult. The functional and graphical representations of students who began their education at the school level are increasingly being improved during their studies at the university. The material learned about second-order curves is actively used in the study of surfaces. The difficulty lies in the fact that not all students can depict one or another surface considered in the task condition. Information technology helps in solving this issue. In the lectures, when studying this material, we use a method of constructing surfaces based on the method of sections. The construction of each surface is considered in stages, the images of curves in the corresponding planes are accompanied by additional drawing elements, which contributes to the process of understanding and assimilation of the material. Having received an image of the surface, we show the visible and invisible lines of the shape. Further, the material is fixed and visualized using the GeoGebra computer program, where students, depending on the values of the semi-axes, can analyze the change in the appearance of the surface.