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[/img][br][br]Seria un bon moment per a escriure en el CAS del GeoGebra les equacions de les mitjanes del tetràedre (recta que uneix cada vèrtex amb el baricentre de la cara oposada) i comprovar que tenen un punt en comú... però no està implementat adequadament encara en el CAS el càlcul geomètric 3D.[br]Fem-ho doncs a la línia d'entrada i deduïm quin és el baricentre.[br][img]data:image/png;base64,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[/img][br]Interpretem el resultat! [br][br]Ara, si escau, és un bon moment per practicar una mica la visió gràfica:[br]dibuixem un tetràedre[br]construïm el punt G amb el resultat que acabem d'obtenir [br]construïm el baricentre GC d'una cara[br]comprovem que la recta que uneix el vèrtex oposat a aquesta cara amb el punt G passa per GC.