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Слишком много дизлайков... Вот вам тогда задача с командной олимпиады проходящего сейчас Уральского турнира (63-го? я сбился со счета...)

CM — медиана равнобедренного остроугольного треугольника ABC (AB = BC). Точка D на отрезке CM такова, что AD — внешняя биссектриса угла MDB. Точка E на отрезке CM такова, что CE = BD. Докажите, что BE = AD.



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Слишком много дизлайков... Вот вам тогда задача с командной олимпиады проходящего сейчас Уральского турнира (63-го? я сбился со счета...)

CM — медиана равнобедренного остроугольного треугольника ABC (AB = BC). Точка D на отрезке CM такова, что AD — внешняя биссектриса угла MDB. Точка E на отрезке CM такова, что CE = BD. Докажите, что BE = AD.

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