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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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During the operations, Sebi officials seized various records and documents, including 34 mobile phones, six laptops, four desktops, four tablets, two hard drive disks and one pen drive from the custody of these persons. In 2014, Pavel Durov fled the country after allies of the Kremlin took control of the social networking site most know just as VK. Russia's intelligence agency had asked Durov to turn over the data of anti-Kremlin protesters. Durov refused to do so. Telegram was co-founded by Pavel and Nikolai Durov, the brothers who had previously created VKontakte. VK is Russia’s equivalent of Facebook, a social network used for public and private messaging, audio and video sharing as well as online gaming. In January, SimpleWeb reported that VK was Russia’s fourth most-visited website, after Yandex, YouTube and Google’s Russian-language homepage. In 2016, Forbes’ Michael Solomon described Pavel Durov (pictured, below) as the “Mark Zuckerberg of Russia.” Ukrainian President Volodymyr Zelensky said in a video message on Tuesday that Ukrainian forces "destroy the invaders wherever we can." He floated the idea of restricting the use of Telegram in Ukraine and Russia, a suggestion that was met with fierce opposition from users. Shortly after, Durov backed off the idea.
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