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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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