Geometria analítica: estudo da reta e da circunferência, uma abordagem vetorial como proposta de ensino para alunos do ensino médio
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Data
2015-08-06
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Universidade Federal de Goiás
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).
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SILVA, Sidival. Geometria analítica: estudo da reta e da circunferência, uma abordagem vetorial como proposta de ensino para alunos do ensino médio. 2015. 48 f. Dissertação (Mestrado Profissional em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2015.