Uma abordagem da mudança de coordenadas com o auxílio dos números complexos e aplicações

Abstract

We will approach in this work coordinates changes via complex numbers. Then, we will apply this approach to identify conic sections and determine their elements. Establishing in mind that in high school there is only an approach to situations in which these geometric places have axes parallel to the axes of cartesian plane, the addressed content in this work aims to help students and teachers from basic education, proposing, in a simple way, a method to identify and determine the elements of conics even when they have axes not parallels to the coordinate axes of the plane, in addition to demonstrate facilities in solving some problems and demonstrations when using complex numbers.