Conjuntos convexos e suas aplicações no ensino médio

Abstract

In this paper, we consider the concept of line segment as an introduction to the concept of convex set and its applications, this concept reinforced by the evidence of centroid of the triangle. We calculate the relative position between a point and a line segment. We define the cone concept and show the different types of cone with some examples. We define the convex envelope in the plane and in space can then estabilish the relationship between a point and a triangle and the relationship between a point and a tetrahedron. Introducing the concept of hyperplane and finished relating the convexity with symmetry.