Tetraedru de volum 1

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Filip Chindea
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Joined: Thu Sep 27, 2007 9:01 pm
Location: Bucharest

Tetraedru de volum 1

Post by Filip Chindea »

Se considera tetraedrul \( ABCD \) de volum \( 1 \) si punctele \( M, N, P, Q, R, S \) pe muchiile \( AB, CD, BC, DA, AC \) respectiv \( BD \). Daca \( MN, PQ \) si \( RS \) sunt concurente, aratati ca volumul poliedrului convex determinat de punctele \( M, N, P, Q, R, S \) nu poate depasi \( 1/2 \).

Vezi si topic-ul de la sectiunea intitulata "Seniori".
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