Symetrické polynomy v úlohách z elementární geometrie

Title in English Symmetric polynomials in problems of elementary geometry
Authors

BERÁNEK Jaroslav

Year of publication 2009
Type Article in Proceedings
Conference Sborník příspěvků z 6. žilinské didaktické konference s mezinárodní účastí
MU Faculty or unit

Faculty of Education

Citation
Field General mathematics
Keywords Algebraic equation; cubic function; symmetric polynomial; triangle; cuboid
Description The article offers ideas for problem teaching in mathematics at secondary schools and universities. There is solved a problem how to calculate the dimensions of a triangle and a cuboid from the given general parametres (e.g. for a triangle there are given its circumference and area). While solving there are on one side used symmetric polynomials and the relations between roots and coefficients of an algebraic equation, on the other side the knowledge of the behavior of a cubic function.

You are running an old browser version. We recommend updating your browser to its latest version.