Algebraic Expression Calculation System Based on Plane Dynamic Geometry System

Abstract

At present many Dynamic Geometry Systems (DGS) have been used widely in school and colleges all over the world, at the same time analytic geometry is a very important module in middle school, but the functions on analytic geometry module is not rich and the operation is not efficiency in these DGS. A new system which integrate the analytic geometry module into the plane DGS enrich the functions and improve the operation efficiency of plan DGS. In this system geometry objects are represented as its algebraic attributes by analyzing its algebraic equations, while the relationship between geometry objects is expressed as an algebraic expression with parameter. Then by studying the analytic method and calculation method for an algebraic expression the algebraic expression calculation system based on plane DGS is built. The result show that the DGS with algebraic expression calculation system can calculate any elementary algebraic expression with parameters which help the DGS to realize the dynamic change more efficiently when the position of a geometry object change or the relationship between geometry objects change and which can combine the analytical geometry module to dynamic geometry very well. The obtained results can be applied to enrich functions of DGS and extend the DGS applications.