Més exemples i conjectura

[b]Idees generals[/b]. [br][list][*]Es raonava en el treball que els tetràedres regulars i les piràmides regulars tenien sempre filcentre. Seran els únics? Veurem que no.[/*][*]També es descartava de seguida amb alguns exemples la possibilitat que els tetràedres ortocèntrics tinguessin filcentre i a la recíproca. S'examinava com a exemple el tetràedre trirectangle [br][img]data:image/png;base64,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[/img][br]de vèrtexs A=(1,1,0), B=(4,1,0), C=(1,4,0), D=(1,1,5) que té ortocentre, que no compleix la condició de suma d'arestes oposades iguals i que no té filcentre. Si ho voleu visualitzar podeu obrir l'applet compartit [i]exemple filcentre 1[/i] i poseu a la finestra algebraica aquests valors per als vèrtexs i veureu que el punt que es calcula (l'únic que equidista de quatre arestes) no equidista de les sis arestes i per tant no hi ha filcentre. Observeu-ho també gràficament: l'esfera que es dibuixa no és tangent a les sis arestes. [br][br][/*][/list][b]Exemples que s'estudiaven en el treball[/b][br][br]Suggerim per a examinar-los que torneu a obrir el fitxer compartit [i]exemple filcentre 1[/i], que penseu quins poden ser tres punts [b]A, B, C[/b] del pla XY que determini "la base" horitzontal i els entreu a la finestra algebraica i que vegeu quin valor heu de posar a la variable [b]sumaArestes[/b]. Així es calcularà el punt D i veureu en tots els casos que es tracta de tetràedres filcèntrics.[br][br]Exemple 1. Un tetràedre que no és piràmide regular i té filcentre [img width=203,height=138]data:image/png;base64,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[/img][br][br]Exemple 2: Una cara triangle rectangle[br][img width=202,height=214]data:image/png;base64,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[/img][br]Podeu treballar amb els mateixos vèrtexs A, B i C originals de l'applet compartit i només cal que hi canvieu el valor de la variable [b]sumaArestes[/b] i feu que sigui [b]sumaArestes[/b]=11[br][br]Exemple 3. El que hem treballat en l'apartat anterior per a mostrar els tetràedres filcèntrics. [br]Es presentava com una piràmide no regular però amb algunes dades especials (cares triangles rectangles; parelles d'arestes de la mateixa longitud). Té filcentre, però no ortocentre.[br][br]Exemple 4. piràmide no regular amb dues arestes de la mateixa longitud[br][br][img]data:image/png;base64,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[/img][br]Exemple 5: Valors possibles: A(0,0,0), B(4,3,0), C(0,4,0),[br][img width=241,height=211]data:image/png;base64,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[/img][br]L'applet ja ens calcularà D(0.16, 3.63, 6.93) i farà visual que hi ha filcentre (1.22, 2.44, 4.33).[br]Comentari del grup d'alumnes que van fer el treball:[br][img]data:image/png;base64,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[/img][br][br]...i per això feien la conjectura 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[/img][br][br]Quan es feia el treball (any 1983) tampoc no vam trobar bibliografia per confirmar la caracterització dels tetràedres filcèntrics. Un temps després ja vam aconseguir la demostració i ara ja es pot trobar a la bibliografia [2]. [br][br][br][br]

Information: Més exemples i conjectura