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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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Now safely in France with his spouse and three of his children, Kliuchnikov scrolls through Telegram to learn about the devastation happening in his home country. Perpetrators of these scams will create a public group on Telegram to promote these investment packages that are usually accompanied by fake testimonies and sometimes advertised as being Shariah-compliant. Interested investors will be asked to directly message the representatives to begin investing in the various investment packages offered. These entities are reportedly operating nine Telegram channels with more than five million subscribers to whom they were making recommendations on selected listed scrips. Such recommendations induced the investors to deal in the said scrips, thereby creating artificial volume and price rise. Pavel Durov, Telegram's CEO, is known as "the Russian Mark Zuckerberg," for co-founding VKontakte, which is Russian for "in touch," a Facebook imitator that became the country's most popular social networking site. Sebi said data, emails and other documents are being retrieved from the seized devices and detailed investigation is in progress.
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