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#геом_разминка

Задача. Чевианы 𝐴𝐴₁, 𝐵𝐵₁, 𝐶𝐶₁ треугольника 𝐴𝐵𝐶 пересекаются внутри него в точке 𝑃. Докажите, что 𝑃𝐴₁/𝐴𝐴₁ + 𝑃𝐵₁/𝐵𝐵₁ + 𝑃𝐶₁/𝐶𝐶₁ = 1.



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#геом_разминка

Задача. Чевианы 𝐴𝐴₁, 𝐵𝐵₁, 𝐶𝐶₁ треугольника 𝐴𝐵𝐶 пересекаются внутри него в точке 𝑃. Докажите, что 𝑃𝐴₁/𝐴𝐴₁ + 𝑃𝐵₁/𝐵𝐵₁ + 𝑃𝐶₁/𝐶𝐶₁ = 1.

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Continuing its crackdown against entities allegedly involved in a front-running scam using messaging app Telegram, Sebi on Thursday carried out search and seizure operations at the premises of eight entities in multiple locations across the country. Ukrainian forces have since put up a strong resistance to the Russian troops amid the war that has left hundreds of Ukrainian civilians, including children, dead, according to the United Nations. Ukrainian and international officials have accused Russia of targeting civilian populations with shelling and bombardments. The fake Zelenskiy account reached 20,000 followers on Telegram before it was shut down, a remedial action that experts say is all too rare. Since its launch in 2013, Telegram has grown from a simple messaging app to a broadcast network. Its user base isn’t as vast as WhatsApp’s, and its broadcast platform is a fraction the size of Twitter, but it’s nonetheless showing its use. While Telegram has been embroiled in controversy for much of its life, it has become a vital source of communication during the invasion of Ukraine. But, if all of this is new to you, let us explain, dear friends, what on Earth a Telegram is meant to be, and why you should, or should not, need to care. Russians and Ukrainians are both prolific users of Telegram. They rely on the app for channels that act as newsfeeds, group chats (both public and private), and one-to-one communication. Since the Russian invasion of Ukraine, Telegram has remained an important lifeline for both Russians and Ukrainians, as a way of staying aware of the latest news and keeping in touch with loved ones.
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