Это задача с одной небезызвестной олимпиады под авторством одного из админов нашего канала, который правда ещё не нашел кнопку опубликовать)).
На окружности отмечены точки A, B, C, D, E, F (в указанном порядке), причём AB = = BC = CD. Прямая BE пересекает прямые CF и DF в точках G и H соответственно, а прямая AE пересекает прямые CF и BF в точках J и K соответственно. Лучи KG и JH пересекают окружность в точках M и N, расстояние между которыми равно AB. Докажите, что прямые GK и JH пересекаются на окружности.
Это задача с одной небезызвестной олимпиады под авторством одного из админов нашего канала, который правда ещё не нашел кнопку опубликовать)).
На окружности отмечены точки A, B, C, D, E, F (в указанном порядке), причём AB = = BC = CD. Прямая BE пересекает прямые CF и DF в точках G и H соответственно, а прямая AE пересекает прямые CF и BF в точках J и K соответственно. Лучи KG и JH пересекают окружность в точках M и N, расстояние между которыми равно AB. Докажите, что прямые GK и JH пересекаются на окружности.
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. On February 27th, Durov posted that Channels were becoming a source of unverified information and that the company lacks the ability to check on their veracity. He urged users to be mistrustful of the things shared on Channels, and initially threatened to block the feature in the countries involved for the length of the war, saying that he didn’t want Telegram to be used to aggravate conflict or incite ethnic hatred. He did, however, walk back this plan when it became clear that they had also become a vital communications tool for Ukrainian officials and citizens to help coordinate their resistance and evacuations. Overall, extreme levels of fear in the market seems to have morphed into something more resembling concern. For example, the Cboe Volatility Index fell from its 2022 peak of 36, which it hit Monday, to around 30 on Friday, a sign of easing tensions. Meanwhile, while the price of WTI crude oil slipped from Sunday’s multiyear high $130 of barrel to $109 a pop. Markets have been expecting heavy restrictions on Russian oil, some of which the U.S. has already imposed, and that would reduce the global supply and bring about even more burdensome inflation. NEWS Telegram was co-founded by Pavel and Nikolai Durov, the brothers who had previously created VKontakte. VK is Russia’s equivalent of Facebook, a social network used for public and private messaging, audio and video sharing as well as online gaming. In January, SimpleWeb reported that VK was Russia’s fourth most-visited website, after Yandex, YouTube and Google’s Russian-language homepage. In 2016, Forbes’ Michael Solomon described Pavel Durov (pictured, below) as the “Mark Zuckerberg of Russia.”
from hk
