Detalhes bibliográficos
Ano de defesa: |
2016 |
Autor(a) principal: |
Teodosio, Elaine de Sousa |
Orientador(a): |
Não Informado pela instituição |
Banca de defesa: |
Não Informado pela instituição |
Tipo de documento: |
Dissertação
|
Tipo de acesso: |
Acesso aberto |
Idioma: |
por |
Instituição de defesa: |
Não Informado pela instituição
|
Programa de Pós-Graduação: |
Não Informado pela instituição
|
Departamento: |
Não Informado pela instituição
|
País: |
Não Informado pela instituição
|
Palavras-chave em Português: |
|
Link de acesso: |
http://www.repositorio.ufc.br/handle/riufc/19101
|
Resumo: |
The set of complex numbers is often subject forgotten high school. When approached, there is a restriction on the content in their own curriculum. This is perhaps the ignorance of their applicability, making their study is specifically addressed in the graduation of some university courses. This study aims to use these numbers in the statement of some geometry theorems, showing its application in the area of mathematics. For this, initially we discuss the algebraic concepts: operations of addition, multiplication, powers of i, conjugate and modulus of a complex number. Then simple geometric concepts such as distance between two points, angle measurements, linearity condition, orthogonality and cocircular, similar triangles and analytic geometry, which until then, it uses only real numbers, now extends to the complex numbers . With the inclusion of complex numbers iin geometry it is possible to prove theorems as: The circle of nine points, the straight of Simson, Cantor's theorem, Feuerbach's theorem and the theorem Morley. Finally, we will develop the project: short course complex numbers and geometry with a group of students of the 3rd year of high school at the State School Professor Eudes Veras, located in Maracanau, Ceará. To collect the data were utizados, a socioeconomic questionnaire and a test on powers of i, conjugate module, equation of the line, Napoleon's theorem and circle of nine points. These data were organized and analyzed. |