Symetrické polynomy v úlohách z elementární geometrie
| Title in English | Symmetric polynomials in problems of elementary geometry |
|---|---|
| Authors | |
| Year of publication | 2009 |
| Type | Article in Proceedings |
| Conference | Sborník příspěvků z 6. žilinské didaktické konference s mezinárodní účastí |
| MU Faculty or unit | |
| 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. |