Algumas técnicas de resolução de problemas de mínimos e máximos na geometria euclidiana

• Ano de defesa: 2015
• Autor(a) principal: Feitosa, Osmilcy Lima
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal de Roraima; Brasil; PRPPG - Pró-reitoria de Pesquisa e Pós-Graduação; PROFMAT - Programa de Mestrado Nacional Profissional em Matemática; UFRR
• Palavras-chave em Português: Geometria; Máximos e mínimos; Extremos em geometria; Otimização em geometria; Geometry; Maximum and Minimum; Extremes in Geometry; Optimization in Geometry; CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA
• Link de acesso: http://repositorio.ufrr.br:8080/jspui/handle/prefix/726

Looking over the Basic Education nowadays, it becomes aware that in high school the study of maxima and minima’s problems is carry out in a limited and superficial way. In general, the resolution of these problems lessened to some application of quadratic functions. However, Geometric optimization’s problems may be a fecund area to contribute for improving the quality of math education at this level and to develop the mathematical mind of students. That category of problems is also useful for training students for the Math Olympics. This master’s dissertation deals with the study of resolution’s methods of optimization problems in Euclidean Plane Geometry, presenting a cataloging, according to Andreescu, and some several solved illustrative examples.