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Консультация № 190246
07.12.2016, 17:02
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
6. Найти объем правильной четырехугольной пирамиды с высотой h и двугранным углом при боковом ребре α.
7. Боковые грани SAB и SAC треугольной пирамиды SABC перпендикулярны плоскости основания, угол между ребром SA и высотой SD грани SBC равен α. Найти объем пирамиды, если ее площадь основания равна q, ABC=β, ACB=γ.
8. В основании пирамиды лежит ромб, один из углов которого равен α. Боковые грани одинаково наклонены к плоскости основания. Через середины двух смежных сторон основания и вершину пирамиды проведена плоскость. Эта плоскость составляет с плоскостью основания угол, равный β. Площадь сечения, образованная этой плоскостью, равна S. Найти сторону ромба.
6. Найти объем правильной четырехугольной пирамиды с высотой h и двугранным углом при боковом ребре α.
7. Боковые грани SAB и SAC треугольной пирамиды SABC перпендикулярны плоскости основания, угол между ребром SA и высотой SD грани SBC равен α. Найти объем пирамиды, если ее площадь основания равна q, ABC=β, ACB=γ.
8. В основании пирамиды лежит ромб, один из углов которого равен α. Боковые грани одинаково наклонены к плоскости основания. Через середины двух смежных сторон основания и вершину пирамиды проведена плоскость. Эта плоскость составляет с плоскостью основания угол, равный β. Площадь сечения, образованная этой плоскостью, равна S. Найти сторону ромба.
Обсуждение
08.12.2016, 10:36
общий
это ответ
Здравствуйте, Dimon2033!
6. Изобразим правильную четырёхугольную пирамиду
c квадратом 
в основании и вершиной 
Высотой пирамиды является отрезок 
а угол 
- линейный угол двугранного угла при боковом ребре 
Используя рисунок, получим (промежуточные выкладки опускаем)
6. Изобразим правильную четырёхугольную пирамиду
c квадратом в основании и вершиной Высотой пирамиды является отрезок а угол - линейный угол двугранного угла при боковом ребре Используя рисунок, получим (промежуточные выкладки опускаем)
Об авторе:
Facta loquuntur.
Facta loquuntur.
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