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#геом_разминка

Задача. Чевианы 𝐴𝐴₁, 𝐵𝐵₁, 𝐶𝐶₁ треугольника 𝐴𝐵𝐶 пересекаются внутри него в точке 𝑃. Докажите, что 𝑃𝐴₁/𝐴𝐴₁ + 𝑃𝐵₁/𝐵𝐵₁ + 𝑃𝐶₁/𝐶𝐶₁ = 1.



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#геом_разминка

Задача. Чевианы 𝐴𝐴₁, 𝐵𝐵₁, 𝐶𝐶₁ треугольника 𝐴𝐵𝐶 пересекаются внутри него в точке 𝑃. Докажите, что 𝑃𝐴₁/𝐴𝐴₁ + 𝑃𝐵₁/𝐵𝐵₁ + 𝑃𝐶₁/𝐶𝐶₁ = 1.

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