IOM 2018, Блиц, английски — Задача 32

OLYMPIAD OF METROPOLISES. Moscow, September 3 · 3 септември 2018 г.

Условие

A triangle $ABC$ is given. Let $M$ be the point on the side $AB$ such that $AM : MB = 1 : 2$. A line through $M$ crosses the segment $BC$ at an internal point $Q$ and the ray $CA$ at a point $P$. Find the largest possible value of the ratio $S_{ABC}/S_{PQC}$.

Отговори

Решение

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Оригинал в Архива: blitz.pdf · официални решения: blitz-answers.pdf