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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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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. "He has to start being more proactive and to find a real solution to this situation, not stay in standby without interfering. It's a very irresponsible position from the owner of Telegram," she said. Telegram boasts 500 million users, who share information individually and in groups in relative security. But Telegram's use as a one-way broadcast channel — which followers can join but not reply to — means content from inauthentic accounts can easily reach large, captive and eager audiences. In December 2021, Sebi officials had conducted a search and seizure operation at the premises of certain persons carrying out similar manipulative activities through Telegram channels. Groups are also not fully encrypted, end-to-end. This includes private groups. Private groups cannot be seen by other Telegram users, but Telegram itself can see the groups and all of the communications that you have in them. All of the same risks and warnings about channels can be applied to groups.
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