Propaedeutics of Solving Extreme Problems in the School Course of Mathematics 68
PhD in Physics and Matematics, Professor of the Departmentnof Applied Mathematics, Moscow state University of Psychology and Education, Moscow, Russia
PhD in Education, Associate Professor of Applied Informatics and Multimedia Technologies Department of Information Technologies Faculty, MSUPE, Moscow, Russia
PhD in Education, Associate Professor of the Department of Applied Mathematics Faculty of Information Technologies, Moscow State University of Psychology and Education, Moscow, Russia
This article discusses the propaedeutics of solving extreme problems. As is known, such tasks play an important role in various fields of science and technology. They often reduce many of the problems that arise in the economy, industry and agriculture. As a rule, the solution of these problems requires the use of a fairly complex mathematical apparatus studied in higher education. However, many problems on the maximum and minimum can be solved by elementary means without the use of higher mathematics. The solution of such problems is very useful for students as propaedeutics of the relevant subjects.
Keywords: Distance on a plane, distance on a curved surface, geodesic line, level line, ellipse, hyperbola, gradient, extremum, perimeter, orthocentric triangle, pedal triangle, right triangle, isogonal straights, isogonal points, Torricelli point
Column: Teaching Methodology
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