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Консультация № 188669
18.01.2016, 23:26
0.00 руб.
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1
Здравствуйте! Прошу помощи в следующем вопросе:
Не могли бы Вы проверить мои ответы, пожалуйста?
Верно ли утверждение? (Про многогранник известно, что DA перпендикулярен ABC, PC перпендикулярен ABC, AB перпендикулярен BC, BC=AD=1, AC=CP=2)
1)Ребра AD и CP скрещиваются (нет)
2)угол DBC =90(градусов) (да)
3)DB =2 (нет)
4) Угол между прямой BD и плоскостью ABC равен 60 (градусам) (нет)
5) V(DABCP)=√3 (да)
6) скалярное произведение векторов BP и DA-DB равно нулю (да)
Не могли бы Вы проверить мои ответы, пожалуйста?
Верно ли утверждение? (Про многогранник известно, что DA перпендикулярен ABC, PC перпендикулярен ABC, AB перпендикулярен BC, BC=AD=1, AC=CP=2)
1)Ребра AD и CP скрещиваются (нет)
2)угол DBC =90(градусов) (да)
3)DB =2 (нет)
4) Угол между прямой BD и плоскостью ABC равен 60 (градусам) (нет)
5) V(DABCP)=√3 (да)
6) скалярное произведение векторов BP и DA-DB равно нулю (да)
Обсуждение
19.01.2016, 07:50
общий
это ответ
Здравствуйте, Посетитель - 399097!
Верно ли утверждение? (Про многогранник известно, что DA перпендикулярен ABC, PC перпендикулярен ABC, AB перпендикулярен BC, BC=AD=1, AC=CP=2)
1)Ребра AD и CP скрещиваются Нет, они перпендикулярны одной плоскости, значит параллельны между собой
2)угол DBC =90(градусов) По теореме Пифагора
,
,
Получается в треугольнике DBC теорема Пифагора тоже выполняется 
, значит треугольник прямоугольный, значит угол 90 градусов
3)DB =2 Это утверждение верно
4) Угол между прямой BD и плоскостью ABC равен 60 (градусам) Нет Угол равен 30 градусов, катет лежащий напротив угла в 30 градусов , равен половине гипотенузы, а у нас DB=2, AD=1
5) V(DABCP)=√3 Нет
6) скалярное произведение векторов BP и DA-DB равно нулю (да)
Верно ли утверждение? (Про многогранник известно, что DA перпендикулярен ABC, PC перпендикулярен ABC, AB перпендикулярен BC, BC=AD=1, AC=CP=2)
1)Ребра AD и CP скрещиваются Нет, они перпендикулярны одной плоскости, значит параллельны между собой
2)угол DBC =90(градусов) По теореме Пифагора
,, Получается в треугольнике DBC теорема Пифагора тоже выполняется , значит треугольник прямоугольный, значит угол 90 градусов3)DB =2 Это утверждение верно
4) Угол между прямой BD и плоскостью ABC равен 60 (градусам) Нет Угол равен 30 градусов, катет лежащий напротив угла в 30 градусов , равен половине гипотенузы, а у нас DB=2, AD=1
5) V(DABCP)=√3 Нет
6) скалярное произведение векторов BP и DA-DB равно нулю (да)
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