The teaching of Mathematics in the context of the Mathematical Olympiads in Brazil constitutes a context of research still little considered, with particular interest in the teaching and the learning phenomena. In Brazil, we identified a large number of teachers and students who do not participate in official math competitions, such as the Brazilian Olympiads of Mathematics of Public Schools (OBMEP). On the other hand, it is important to implement didactic resources that allow other forms of didactic transposition to the mathematical knowledge addressed for the Olympic Problems (OP). In this way, the present work presents and introduces the notion of Olympic Didactical Situation (ODS), from a perspective of didactic transposition necessary for the teacher, who must transmit the mathematical knowledge characteristic of the Mathematical Olympiads to the greatest possible number of students. Thus, visualization becomes a primordial element to approximate and transmit intuitive and heuristic notions present in a set of three Olympic Problems (OP) discussed throughout the text.