Plane perpendiculare in piramida regulata

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Claudiu Mindrila
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Joined: Mon Oct 01, 2007 2:25 pm
Location: Targoviste
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Plane perpendiculare in piramida regulata

Post by Claudiu Mindrila »

Se considera piramida patrulatera regulata \( VABCD \) cu muchia bazei \( AB=a \) si inaltimea \( VO=\frac{a\sqrt{2}}{2} \). Planul \( \alpha \) ce contine dreapta \( AD \) si este perpendicular pe planul \( (VBC) \) intersecteaza muchiile \( VB \) si \( CV \) in \( P \), respectiv \( Q \). Daca \( AP \cap DQ= \{S} \), demonstrati ca \( (SBC) \perp (ABC). \)
G.M. 11/2008
elev, clasa a X-a, C. N. "C-tin Carabella", Targoviste
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