Problemas de otimiza????o na Geometria: uma abordagem para o Ensino M??dio

Submitted by Divis??o de Documenta????o/BC Biblioteca Central (ddbc@ufam.edu.br) on 2017-02-01T19:31:46Z No. of bitstreams: 2 license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Disserta????o - Ricardo Santos Fonseca.pdf: 3884170 bytes, checksum: c7f03d9fc12e685aabc06b6b6794a61b (MD5) Approved for entry into archive by Divis??o de Documenta????o/BC Biblioteca Central (ddbc@ufam.edu.br) on 2017-02-01T19:32:02Z (GMT) No. of bitstreams: 2 license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Disserta????o - Ricardo Santos Fonseca.pdf: 3884170 bytes, checksum: c7f03d9fc12e685aabc06b6b6794a61b (MD5) Approved for entry into archive by Divis??o de Documenta????o/BC Biblioteca Central (ddbc@ufam.edu.br) on 2017-02-01T19:32:17Z (GMT) No. of bitstreams: 2 license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Disserta????o - Ricardo Santos Fonseca.pdf: 3884170 bytes, checksum: c7f03d9fc12e685aabc06b6b6794a61b (MD5) Made available in DSpace on 2017-02-01T19:32:17Z (GMT). No. of bitstreams: 2 license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Disserta????o - Ricardo Santos Fonseca.pdf: 3884170 bytes, checksum: c7f03d9fc12e685aabc06b6b6794a61b (MD5) Previous issue date: 2016-08-04 CAPES - Coordena????o de Aperfei??oamento de Pessoal de N??vel Superior In this work, lectures on Optimization Problems Applied Geometry. It presents initially a little history of some classic optimization problems in Euclidean Geometry Plana, as the Isoperim??trico Problem, the Heron Problem an the Steiner Problem. From there, he used that knowledge to build definitions, theorems and propositions regarding the Optimization of Geometry which provided grandiose tools for problem solving that can be applied in high school or in Mathematics Olympics. Neste trabalho, disserta-se sobre Problemas de Otimiza????o Aplicados ?? Geometria. Apresentase inicialmente um pouco da hist??ria de alguns problemas cl??ssicos de otimiza????o em Geometria Euclidiana Plana, como, o Problema Isoperim??trico, o Problema de Heron e o Problema de Steiner. A partir da??, usou-se esse conhecimento para construir defini????es, teoremas e proposi????es a respeito da Otimiza????o em Geometria o que proporcionou grandiosas ferramentas para a resolu????o de problemas que podem ser aplicados no Ensino M??dio ou em Olimp??adas de Matem??tica.