Stelele Matematicii Problema 3

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Vlad Matei
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Stelele Matematicii Problema 3

Post by Vlad Matei »

Fie \( A,B,C \) trei puncte laticiale in plan cu proprietatea ca exista un unic punct \( P \) laticial strict in interiorul triunghiului \( ABC \). Fie \( AP\cap BC=\{E\} \).
Determinati \( \displaystyle \max_{A,B,C}\frac{AP}{PE} \).

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