O uso de resolução de problemas no auxílio do ensino da geometria plana

Abstract

This work aims to present a material that initiates or encourages the practice of solving problems through geometric challenges. This initiative arose from the observation of a lack of greater incentive around the theme of geometry, a theme that is quite demanded at higher levels for selections of important schools and public schools, in addition to the Brazilian Mathematical Olympiad itself. In addition, the subject of geometry is one of the foundations of the area of mathematics according to the National Common Curricular Base, once again its great importance being recognized for the training of both students and teachers. Whether for a student group or a teaching group, plane geometry problems of different levels are presented, in addition to the theoretical concepts necessary for their solution. At first, concepts more discussed in schools in general are presented, and in another opportunity, lesser known concepts are presented, such as the theorem of Menelaus, Ceva, Stewart’s Relation, Hippocratic lunulas, the carpet theorem and the relationship between areas and cevians in a triangle . All this to increase the baggage of tools that help in solving problems.