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Парабола и равнобокая гипербола пересекаются по трем точкам A, B и C, при этом ось симметрии параболы является асимптотой гиперболы. Докажите, что точка пересечения медиан треугольника ABC лежит на оси симметрии параболы.
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Парабола и равнобокая гипербола пересекаются по трем точкам A, B и C, при этом ось симметрии параболы является асимптотой гиперболы. Докажите, что точка пересечения медиан треугольника ABC лежит на оси симметрии параболы.

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The original Telegram channel has expanded into a web of accounts for different locations, including specific pages made for individual Russian cities. There's also an English-language website, which states it is owned by the people who run the Telegram channels. 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." False news often spreads via public groups, or chats, with potentially fatal effects. Recently, Durav wrote on his Telegram channel that users' right to privacy, in light of the war in Ukraine, is "sacred, now more than ever." DFR Lab sent the image through Microsoft Azure's Face Verification program and found that it was "highly unlikely" that the person in the second photo was the same as the first woman. The fact-checker Logically AI also found the claim to be false. The woman, Olena Kurilo, was also captured in a video after the airstrike and shown to have the injuries.
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