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.
Stocks dropped on Friday afternoon, as gains made earlier in the day on hopes for diplomatic progress between Russia and Ukraine turned to losses. Technology stocks were hit particularly hard by higher bond yields. Telegram has gained a reputation as the “secure” communications app in the post-Soviet states, but whenever you make choices about your digital security, it’s important to start by asking yourself, “What exactly am I securing? And who am I securing it from?” These questions should inform your decisions about whether you are using the right tool or platform for your digital security needs. Telegram is certainly not the most secure messaging app on the market right now. Its security model requires users to place a great deal of trust in Telegram’s ability to protect user data. For some users, this may be good enough for now. For others, it may be wiser to move to a different platform for certain kinds of high-risk communications. 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. "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." Russian President Vladimir Putin launched Russia's invasion of Ukraine in the early-morning hours of February 24, targeting several key cities with military strikes.
from id
