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

Detalhes bibliográficos
Ano de defesa: 2015
Autor(a) principal: Silva, Sidival
Orientador(a): Dias, Ivonildes Ribeiro Martins lattes
Banca de defesa: Dias, Ivonildes Ribeiro Martins, Silva, Sílvia Cristina Belo e, Lima, Lidiane dos Santos Monteiro
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
Idioma: por
Instituição de defesa: Universidade Federal de Goiás
Programa de Pós-Graduação: Programa de Pós-graduação em PROFMAT (RG)
Departamento: Instituto de Matemática e Estatística - IME (RG)
País: Brasil
Palavras-chave em Português:
Palavras-chave em Inglês:
Área do conhecimento CNPq:
Link de acesso: http://repositorio.bc.ufg.br/tede/handle/tede/4836
Resumo: 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).