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#геом_разминка

Задача. Дан угол с вершиной 𝑂 и окружность, касающаяся его сторон в точках 𝐴 и 𝐵. Из точки 𝐴 проведен луч, параллельный 𝑂𝐵. Он пересекается с окружностью в точке 𝐶. Отрезок 𝑂𝐶 пересекает окружность в точке 𝐸. Прямые 𝐴𝐸 и 𝑂𝐵 пересекаются в точке 𝐾. Докажите, что 𝑂𝐾 = 𝐾𝐵.

Желаем вам закрыться в этом году без долгов 👑



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#геом_разминка

Задача. Дан угол с вершиной 𝑂 и окружность, касающаяся его сторон в точках 𝐴 и 𝐵. Из точки 𝐴 проведен луч, параллельный 𝑂𝐵. Он пересекается с окружностью в точке 𝐶. Отрезок 𝑂𝐶 пересекает окружность в точке 𝐸. Прямые 𝐴𝐸 и 𝑂𝐵 пересекаются в точке 𝐾. Докажите, что 𝑂𝐾 = 𝐾𝐵.

Желаем вам закрыться в этом году без долгов 👑

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