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Консультация № 159533
03.02.2009, 20:37
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Здраствуйте эксперты. Срочно нужна помощь по геометрии!
Приложение:
В основании прямой призмы лежит прямоугольник, диагональ которого образует с боковой стороной угол Y. Диагональ боковой грани призмы, содержащей меньшую сторону прямоугольника, равна d и образует с плоскостью основания угол @. Определить боковую поверхность цилиндра, описанного около данной призмы.
Приложение:
В основании прямой призмы лежит прямоугольник, диагональ которого образует с боковой стороной угол Y. Диагональ боковой грани призмы, содержащей меньшую сторону прямоугольника, равна d и образует с плоскостью основания угол @. Определить боковую поверхность цилиндра, описанного около данной призмы.
Обсуждение
Неизвестный
04.02.2009, 02:18
общий
это ответ
Здравствуйте, Maxximka!
__________________________________
Боковая площадь цилиндра
S= 2*pi*R*H
H= d*sin(@)
Не совсем понятно относительно какой стороны угол 'Y'.
Насколько я понял, то относительно ребра являющегося также стороной грани содержащей диагональ 'd'.
Тогда так
Длина нижнего ребра грани содержащей 'd'
d1= d*cos(@)
Диагональ основания
d2= d*cos(@)/cos(Y)
Радиус цилиндра
R= d2/2
S= 2*pi*(d*cos(@)/(2*cos(Y)))*d*sin(@)
S= pi*d^2*cos(@)*sin(@)/cos(Y)
_______________________________
А если я неправильно понял, и 'Y' это угол относительно другой грани, то так
S= pi*d^2*cos(@)*sin(@)/sin(Y)
__________________________________
Боковая площадь цилиндра
S= 2*pi*R*H
H= d*sin(@)
Не совсем понятно относительно какой стороны угол 'Y'.
Насколько я понял, то относительно ребра являющегося также стороной грани содержащей диагональ 'd'.
Тогда так
Длина нижнего ребра грани содержащей 'd'
d1= d*cos(@)
Диагональ основания
d2= d*cos(@)/cos(Y)
Радиус цилиндра
R= d2/2
S= 2*pi*(d*cos(@)/(2*cos(Y)))*d*sin(@)
S= pi*d^2*cos(@)*sin(@)/cos(Y)
_______________________________
А если я неправильно понял, и 'Y' это угол относительно другой грани, то так
S= pi*d^2*cos(@)*sin(@)/sin(Y)
Форма ответа
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