Geometria analítica: estudo da reta e da circunferência, uma abordagem vetorial como proposta de ensino para alunos do ensino médio

• Autor(a) principal: Silva, Sidival
• Data de Publicação: 2015
• Tipo de documento: Dissertação
• Idioma: por
• Título da fonte: Repositório Institucional da UFG
• Texto Completo: http://repositorio.bc.ufg.br/tede/handle/tede/4836
• topic: Geometria; Plano; Reta; Vetor; Equação da reta e equação da circunferência; Geometry; Straight; Plan; Vector; Straught's equation and cincumference equation; CIENCIAS EXATAS E DA TERRA::MATEMATICA

According to studying of vectors [1], straight and ats are considerable useful to the students of the last year in high school, mainly those who wish to attend Engineering, Physics, Mathematics or Chemistry. This present paper has as its main focus the study of the straight and of the circumference under a vector approach. Initially the necessary vectors concepts are introduced so the subject can be comprehended under de nitions and propositions, so the reader (high school's student) take ownership of the vector's ideas in plan and space and, above all, understand all the main vectors' properties, with which will be de ned the equations of the straight and of the circumference. It introduces the de nition of the equipolency given by Giusto Bellavitis see it at [2] (that is basically the vector's de nition that is known nowadays) and also the de nition of linear dependence and independence, angle between two vectors, opposite vectors and internal product. It is also observed that all de nitions and mentioned properties in the plan are valid in space R3. Finally it is de ned the straight's equation (using the idea of product by scale) and, the circumference equation (using the rule de nition).