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Добрая задачка с Baltic Way 2024

Пусть △ABC — остроугольный треугольник с описанной окружностью ω. Высоты AD, BE и CF треугольника ABC пересекаются в точке H. Точка K выбрана на прямой EF так, что KH и BC параллельны. Докажите, что точка, симметричная H относительно прямой KD, лежит на ω.



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Добрая задачка с Baltic Way 2024

Пусть △ABC — остроугольный треугольник с описанной окружностью ω. Высоты AD, BE и CF треугольника ABC пересекаются в точке H. Точка K выбрана на прямой EF так, что KH и BC параллельны. Докажите, что точка, симметричная H относительно прямой KD, лежит на ω.

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WhatsApp, a rival messaging platform, introduced some measures to counter disinformation when Covid-19 was first sweeping the world. 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.” "He has kind of an old-school cyber-libertarian world view where technology is there to set you free," Maréchal said. It is unclear who runs the account, although Russia's official Ministry of Foreign Affairs Twitter account promoted the Telegram channel on Saturday and claimed it was operated by "a group of experts & journalists." The War on Fakes channel has repeatedly attempted to push conspiracies that footage from Ukraine is somehow being falsified. One post on the channel from February 24 claimed without evidence that a widely viewed photo of a Ukrainian woman injured in an airstrike in the city of Chuhuiv was doctored and that the woman was seen in a different photo days later without injuries. The post, which has over 600,000 views, also baselessly claimed that the woman's blood was actually makeup or grape juice.
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