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YGO 2024, 9 клас, Задача 2.

Нехай 𝑀 — середина сторони 𝐵𝐶 трикутника 𝐴𝐵𝐶, 𝐷 — довільна точка на дузі 𝐵𝐶 описаного кола, яка не містить точку 𝐴, 𝑁 — середина 𝐴𝐷. Коло, яке проходить через точки 𝐴, 𝑁 і дотикається до 𝐴𝐵, перетинає сторону 𝐴𝐶 у точці 𝐸. Доведіть, шо точки 𝐶, 𝐷, 𝐸 та 𝑀 лежать на одному колі.

Матвій Курський



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YGO 2024, 9 клас, Задача 2.

Нехай 𝑀 — середина сторони 𝐵𝐶 трикутника 𝐴𝐵𝐶, 𝐷 — довільна точка на дузі 𝐵𝐶 описаного кола, яка не містить точку 𝐴, 𝑁 — середина 𝐴𝐷. Коло, яке проходить через точки 𝐴, 𝑁 і дотикається до 𝐴𝐵, перетинає сторону 𝐴𝐶 у точці 𝐸. Доведіть, шо точки 𝐶, 𝐷, 𝐸 та 𝑀 лежать на одному колі.

Матвій Курський

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Emerson Brooking, a disinformation expert at the Atlantic Council's Digital Forensic Research Lab, said: "Back in the Wild West period of content moderation, like 2014 or 2015, maybe they could have gotten away with it, but it stands in marked contrast with how other companies run themselves today." On Telegram’s website, it says that Pavel Durov “supports Telegram financially and ideologically while Nikolai (Duvov)’s input is technological.” Currently, the Telegram team is based in Dubai, having moved around from Berlin, London and Singapore after departing Russia. Meanwhile, the company which owns Telegram is registered in the British Virgin Islands. The regulator said it has been undertaking several campaigns to educate the investors to be vigilant while taking investment decisions based on stock tips. Sebi said data, emails and other documents are being retrieved from the seized devices and detailed investigation is in progress. "Russians are really disconnected from the reality of what happening to their country," Andrey said. "So Telegram has become essential for understanding what's going on to the Russian-speaking world."
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