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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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"Your messages about the movement of the enemy through the official chatbot … bring new trophies every day," the government agency tweeted. Some people used the platform to organize ahead of the storming of the U.S. Capitol in January 2021, and last month Senator Mark Warner sent a letter to Durov urging him to curb Russian information operations on Telegram. Telegram was founded in 2013 by two Russian brothers, Nikolai and Pavel Durov. "There are a lot of things that Telegram could have been doing this whole time. And they know exactly what they are and they've chosen not to do them. That's why I don't trust them," she said. Pavel Durov, a billionaire who embraces an all-black wardrobe and is often compared to the character Neo from "the Matrix," funds Telegram through his personal wealth and debt financing. And despite being one of the world's most popular tech companies, Telegram reportedly has only about 30 employees who defer to Durov for most major decisions about the platform.
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