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Еще одна задача из юниорской лиги. Мне нравится! Автор Алексей Доледенок.
Вписанная окружность прямоугольного треугольника ABC касается его гипотенузы AB в точке D. Центр окружности — точка I. На луче DI выбрана точка E так, что ∠AEB = 45°.
Точки P и Q — основания перпендикуляров из E на стороны AC и BC соответственно. Описанная окружность треугольника DPQ пересекает стороны AC и BC в точках X и Y. Докажите, что AX = BY.
Еще одна задача из юниорской лиги. Мне нравится! Автор Алексей Доледенок.
Вписанная окружность прямоугольного треугольника ABC касается его гипотенузы AB в точке D. Центр окружности — точка I. На луче DI выбрана точка E так, что ∠AEB = 45°.
Точки P и Q — основания перпендикуляров из E на стороны AC и BC соответственно. Описанная окружность треугольника DPQ пересекает стороны AC и BC в точках X и Y. Докажите, что AX = BY.
Apparently upbeat developments in Russia's discussions with Ukraine helped at least temporarily send investors back into risk assets. Russian President Vladimir Putin said during a meeting with his Belarusian counterpart Alexander Lukashenko that there were "certain positive developments" occurring in the talks with Ukraine, according to a transcript of their meeting. Putin added that discussions were happening "almost on a daily basis." At its heart, Telegram is little more than a messaging app like WhatsApp or Signal. But it also offers open channels that enable a single user, or a group of users, to communicate with large numbers in a method similar to a Twitter account. This has proven to be both a blessing and a curse for Telegram and its users, since these channels can be used for both good and ill. Right now, as Wired reports, the app is a key way for Ukrainians to receive updates from the government during the invasion. "Like the bombing of the maternity ward in Mariupol," he said, "Even before it hits the news, you see the videos on the Telegram channels." 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." Unlike Silicon Valley giants such as Facebook and Twitter, which run very public anti-disinformation programs, Brooking said: "Telegram is famously lax or absent in its content moderation policy."
from id
