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Консультация № 126798
11.03.2008, 16:02
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Здравствуйте, уважаемые математики!
Прошу помощив задачах6
1. Стороны основания прямоугольного параллелепипеда 3 и 5, а угол между ними 120 градусов. Большое диагональное сечение, являющееся ромбом, перпендикулярно плоскости основания. Найдите объем параллелепипеда, если боковое ребро образует с основанием угол 60 градусов.
2. Основание прямоугольного параллелепипеда - квадрат АВСD со стороной корень из 5, длина ребра АА1 2корней из 5. Найдите площадь сечения, проведенного через точки С, Р и М, где Р середина АDи М - середина ВВ1.
Спасибо большое заранее!
Прошу помощив задачах6
1. Стороны основания прямоугольного параллелепипеда 3 и 5, а угол между ними 120 градусов. Большое диагональное сечение, являющееся ромбом, перпендикулярно плоскости основания. Найдите объем параллелепипеда, если боковое ребро образует с основанием угол 60 градусов.
2. Основание прямоугольного параллелепипеда - квадрат АВСD со стороной корень из 5, длина ребра АА1 2корней из 5. Найдите площадь сечения, проведенного через точки С, Р и М, где Р середина АDи М - середина ВВ1.
Спасибо большое заранее!
Обсуждение
Неизвестный
11.03.2008, 18:44
общий
это ответ
Здравствуйте, УльЯна!
1. Не похоже, что это прямоугольный параллелепипед. У прямоугольного все грани - прямоугольники. Буду считать, что это опечатка.
Найдем площадь основания:
S = 3*5*sin120 = 7,5√3
Найдем большую диагональ основания:
d = √(9+25-2*3*5*cos120) = 7
Так как сечение - ромб, то и боковое ребро равно 7.
Тогда высота
h = 3,5√3
V = 7,5√3*3,5√3 = 78,75
1. Не похоже, что это прямоугольный параллелепипед. У прямоугольного все грани - прямоугольники. Буду считать, что это опечатка.
Найдем площадь основания:
S = 3*5*sin120 = 7,5√3
Найдем большую диагональ основания:
d = √(9+25-2*3*5*cos120) = 7
Так как сечение - ромб, то и боковое ребро равно 7.
Тогда высота
h = 3,5√3
V = 7,5√3*3,5√3 = 78,75
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