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#геом_разминка #красота_спасет_мир

Задача.
На стороне 𝐵𝐶 параллелограмма 𝐴𝐵𝐶𝐷 отмечена точка 𝐸, а на стороне 𝐴𝐷 — точка 𝐹 так, что описанная окружность треугольника 𝐴𝐵𝐸 касается отрезка 𝐶𝐹 . Докажите, что описанная окружность треугольника 𝐶𝐷𝐹 касается прямой 𝐴𝐸.



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#геом_разминка #красота_спасет_мир

Задача.
На стороне 𝐵𝐶 параллелограмма 𝐴𝐵𝐶𝐷 отмечена точка 𝐸, а на стороне 𝐴𝐷 — точка 𝐹 так, что описанная окружность треугольника 𝐴𝐵𝐸 касается отрезка 𝐶𝐹 . Докажите, что описанная окружность треугольника 𝐶𝐷𝐹 касается прямой 𝐴𝐸.

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"Your messages about the movement of the enemy through the official chatbot … bring new trophies every day," the government agency tweeted. The regulator said it has been undertaking several campaigns to educate the investors to be vigilant while taking investment decisions based on stock tips. He said that since his platform does not have the capacity to check all channels, it may restrict some in Russia and Ukraine "for the duration of the conflict," but then reversed course hours later after many users complained that Telegram was an important source of information. This provided opportunity to their linked entities to offload their shares at higher prices and make significant profits at the cost of unsuspecting retail investors. Recently, Durav wrote on his Telegram channel that users' right to privacy, in light of the war in Ukraine, is "sacred, now more than ever."
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