Publikace na Matematicko-fyzikální fakulta |
2020
Abstrakt
Triangles are quite usual figures in synthetic geometry at elementary levels, but not so common when it comes to analytic viewpoint. I present one kind of inspiring problems which I developed when teaching analytic geometry for future teachers: constructing triangles from points including centroid, orthocentre or other "triangle centres" and determining their coordinates.
These problems combine synthetic and analytic thinking and provide students with opportunity to exercise their geometric imagination, also supported with using GeoGebra.