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Консультация № 195363
23.04.2019, 15:10
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Здравствуйте! У меня возникли сложности с таким вопросом:
Даны три параллельные попарно не совпадающие плоскости
a1,a2,a3 . Прямая a пересекает эти плоскости соответственно в точках
A1,A2,A3, прямая b - в точках B1,B2,B3.
Доказать, что A1A2/A2A3=B1B2/B2B3
В задаче не указано конкретное взаиморасположение прямых в пространстве. А а кроме теоремы о пропорциональных отрезках( прямые пересекаются в одной точке до пересечения с плоскостями) я ничего не могу придумать.)
Даны три параллельные попарно не совпадающие плоскости
a1,a2,a3 . Прямая a пересекает эти плоскости соответственно в точках
A1,A2,A3, прямая b - в точках B1,B2,B3.
Доказать, что A1A2/A2A3=B1B2/B2B3
В задаче не указано конкретное взаиморасположение прямых в пространстве. А а кроме теоремы о пропорциональных отрезках( прямые пересекаются в одной точке до пересечения с плоскостями) я ничего не могу придумать.)
Обсуждение
23.04.2019, 16:25
общий
Адресаты:
С первым случаем все ясно,но как можно доказать соотношение во втором случае?
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