PUMaC 2024 · 团队赛 · 第 8 题

PUMaC 2024 — Team Round — Problem 8

Let △ ABC be a triangle. Let points D and E be on segment BC in the order B, D, E, C such that ∠ BAD = ∠ DAE = ∠ EAC . Suppose also that BD = F , DE = F , EC = F , 2024 2025 2027 where F is the k th Fibonacci number where F = F = 1. To the nearest degree, ∠ BAC is k 1 2 ◦ n . Find n .

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