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Олимпиада ЮМШ 10 класс. Точки P и Q изогонально сопряжены в правильном треугольнике ABC с центром O. Оказалось, что угол POQ = 90.  Докажите, что PQ касается описанной окружности треугольника ABC.



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Олимпиада ЮМШ 10 класс. Точки P и Q изогонально сопряжены в правильном треугольнике ABC с центром O. Оказалось, что угол POQ = 90.  Докажите, что PQ касается описанной окружности треугольника ABC.

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