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Консультация № 192488
28.01.2018, 09:42
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1
Здравствуйте! У меня возникли сложности с таким вопросом:
В основании пирамиды лежит квадрат. Одна из боковых граней перпендикулярна плоскости основания, две смежные с ней боковые грани наклонены к плоскости основания под углом альфа . Найдите угол наклона к плоскости основания четвертой боковой грани.
В основании пирамиды лежит квадрат. Одна из боковых граней перпендикулярна плоскости основания, две смежные с ней боковые грани наклонены к плоскости основания под углом альфа . Найдите угол наклона к плоскости основания четвертой боковой грани.
Обсуждение
28.01.2018, 10:00
общий
Адресаты:
Я думаю, что первый шаг, который Вы должны сделать, чтобы преодолеть возникшие у Вас сложности, -- это выполнить рисунок пирамиды.
Об авторе:
Facta loquuntur.
Facta loquuntur.
01.02.2018, 08:37
общий
это ответ
Здравствуйте, sh3j.fdr95!
Обозначим величину искомого угла через
а длину стороны заданного квадрата -- через 
После того, как Вы выполните то, что я предложил Вам в мини-форуме консультации, Вы сможете выразить двумя способами длину 
высоты заданной пирамиды, получив равенства
Приравняв друг к другу правые части этих равенств, Вы после тождественных преобразований получите, что
Обозначим величину искомого угла через
а длину стороны заданного квадрата -- через После того, как Вы выполните то, что я предложил Вам в мини-форуме консультации, Вы сможете выразить двумя способами длину высоты заданной пирамиды, получив равенстваПриравняв друг к другу правые части этих равенств, Вы после тождественных преобразований получите, что
Об авторе:
Facta loquuntur.
Facta loquuntur.
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