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Tangente si unghi drept exterior

 
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Filip Chindea
Newton


Joined: 27 Sep 2007
Posts: 324
Location: Bucharest
PostPosted: Sat Jul 12, 2008 9:18 pm    Post subject: Tangente si unghi drept exterior Reply with quote
Punctul A este exterior cercului w(O) si tangentele din acest punct il intersecteaza in B, C. Consideram D \in w astfel incat O \in (AD) si notam X - proiectia lui B pe CD, Y - mijlocul segmentului [BX], iar w \cap DY = \{D, Z\}. Aratati ca ZA \perp ZC.

[ Cosmin Pohoata - BMO Shortlist 2007 si Diviziune armonica si Teste tip OIM 2008 - Problema 2/Test 1 ]
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Last edited by Filip Chindea on Sun Jul 13, 2008 2:53 pm; edited 2 times in total
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maky
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Joined: 27 Sep 2007
Posts: 80
Location: bucuresti
PostPosted: Sat Jul 12, 2008 10:29 pm    Post subject: Reply with quote
Eu am gasit-o in articolul de aici.
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