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На стороне BC треугольника ABC с ортоцентром H отмечена точка M. Перпендикуляр к BC в точке M пересекает прямые BH и CH в точках P и Q соответственно. Докажите, что ортоцентр треугольника HPQ лежит на прямой AM.

Мексиканская олимпиада 2024, Problem 4



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На стороне BC треугольника ABC с ортоцентром H отмечена точка M. Перпендикуляр к BC в точке M пересекает прямые BH и CH в точках P и Q соответственно. Докажите, что ортоцентр треугольника HPQ лежит на прямой AM.

Мексиканская олимпиада 2024, Problem 4

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Stocks dropped on Friday afternoon, as gains made earlier in the day on hopes for diplomatic progress between Russia and Ukraine turned to losses. Technology stocks were hit particularly hard by higher bond yields. Although some channels have been removed, the curation process is considered opaque and insufficient by analysts. Sebi said data, emails and other documents are being retrieved from the seized devices and detailed investigation is in progress. But the Ukraine Crisis Media Center's Tsekhanovska points out that communications are often down in zones most affected by the war, making this sort of cross-referencing a luxury many cannot afford. 'Wild West'
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