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Фулл и точка@fullandpoint P.277
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#геом_разминка

Задача. В остроугольном треугольнике 𝐴𝐵𝐶 проведена высота 𝐴𝐷, отмечены точка пересечения высот 𝐻 и центр описанной окружности 𝑂. На отрезке 𝐴𝐻 нашлась точка 𝐾 такая, что 𝐴𝐾 = 𝐻𝐷, а на отрезке 𝐶𝐷 нашлась точка 𝐿 такая что 𝐶𝐿 = 𝐷𝐵. Докажите, что прямая 𝐾𝐿 проходит через точку 𝑂.



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#геом_разминка

Задача. В остроугольном треугольнике 𝐴𝐵𝐶 проведена высота 𝐴𝐷, отмечены точка пересечения высот 𝐻 и центр описанной окружности 𝑂. На отрезке 𝐴𝐻 нашлась точка 𝐾 такая, что 𝐴𝐾 = 𝐻𝐷, а на отрезке 𝐶𝐷 нашлась точка 𝐿 такая что 𝐶𝐿 = 𝐷𝐵. Докажите, что прямая 𝐾𝐿 проходит через точку 𝑂.

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