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Консультация № 144587
21.09.2008, 18:55
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Уважаемые эксперты, помогите решить задачу.
В пространстве заданы три прямые и плоскость. Все углы между двумя прямыми и между одной прямой и плоскостью равны между собой. Найти эти углы.
В пространстве заданы три прямые и плоскость. Все углы между двумя прямыми и между одной прямой и плоскостью равны между собой. Найти эти углы.
Обсуждение
24.09.2008, 22:07
общий
Здравствуйте, Daiger!
Правильно ли я понимаю, что углы между любыми двумя прямыми из трех равны между собой и равны углам между этими прямыми и плоскостью? Интересно, в каком курсе даются такие задачи, вроде бы и простые, но требующие много времени для решения (по крайней мере, у меня)?
По поводу задачи. Сразу приходит в голову тривиальное решение с нулевыми углами. Кроме того, смутно видится некая пирамида... Вот только с нахождением углов проблема. Неужели нужно применить векторный или координатный метод?
С уважением.
Правильно ли я понимаю, что углы между любыми двумя прямыми из трех равны между собой и равны углам между этими прямыми и плоскостью? Интересно, в каком курсе даются такие задачи, вроде бы и простые, но требующие много времени для решения (по крайней мере, у меня)?
По поводу задачи. Сразу приходит в голову тривиальное решение с нулевыми углами. Кроме того, смутно видится некая пирамида... Вот только с нахождением углов проблема. Неужели нужно применить векторный или координатный метод?
С уважением.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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