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Задача 52:
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В равнобедренном треугольнике ABC, AB = BC. Точка D на BC такова, что верно равенство углов: DAB = BAC. Точки X и Y на AB и BC соответственно таковы, что AX : XB = 2 : 1 и BY : YC = 2 : 1. Доказать, что отражение D относительно XY лежит на AC.



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Задача 52:
Автор - Ким Пëтр

В равнобедренном треугольнике ABC, AB = BC. Точка D на BC такова, что верно равенство углов: DAB = BAC. Точки X и Y на AB и BC соответственно таковы, что AX : XB = 2 : 1 и BY : YC = 2 : 1. Доказать, что отражение D относительно XY лежит на AC.

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For Oleksandra Tsekhanovska, head of the Hybrid Warfare Analytical Group at the Kyiv-based Ukraine Crisis Media Center, the effects are both near- and far-reaching. 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. For example, WhatsApp restricted the number of times a user could forward something, and developed automated systems that detect and flag objectionable content. Telegram has become more interventionist over time, and has steadily increased its efforts to shut down these accounts. But this has also meant that the company has also engaged with lawmakers more generally, although it maintains that it doesn’t do so willingly. For instance, in September 2021, Telegram reportedly blocked a chat bot in support of (Putin critic) Alexei Navalny during Russia’s most recent parliamentary elections. Pavel Durov was quoted at the time saying that the company was obliged to follow a “legitimate” law of the land. He added that as Apple and Google both follow the law, to violate it would give both platforms a reason to boot the messenger from its stores. 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.
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