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Консультация № 196370
15.09.2019, 18:25
0.00 руб.
15.09.2019, 20:41
1
3
1
Здравствуйте! Прошу помощи в следующем вопросе:
Решить задачу.
Точка S принадлежит ребру A1C1 прямой призмы ABCA1B1C1 (рис. 111, а). Длина высоты пирамиды SABC равна длине отрезка: а) SB; б) CC1; в) SC.
Решить задачу.
Точка S принадлежит ребру A1C1 прямой призмы ABCA1B1C1 (рис. 111, а). Длина высоты пирамиды SABC равна длине отрезка: а) SB; б) CC1; в) SC.
Рис. 111
Прикрепленные файлы:
Обсуждение
15.09.2019, 20:03
общий
это ответ
Здравствуйте, svrvsvrv!
Высотой пирамиды называется перпендикуляр (или длина этого перпендикуляра), проведённый из вершины пирамиды к плоскости основания [1, с. 159]. Высотой призмы называется перпендикуляр (или длина этого перпендикуляра), проведённый из какой-нибудь точки плоскости одного основания к плоскости другого основания [1, с. 145]. В Вашем случае прямой призмы CC1 -- высота призмы. Если Вы опустите из точки S (вершины пирамиды) перпендикуляр SS1 к отрезку AC, то этот перпендикуляр будет параллелен отрезку CC1 в силу теоремы о пересечении двух прямых секущей [2, с. 53] и является высотой пирамиды. Его длина равна длине отрезка CC1 как сторона прямоугольника SS1C1C [2, с. 104]. Поэтому правильный ответ -- б) CC1.
Литература
1. Шлыков В. В. Стереометрия: пособие для учащихся. -- Минск: Народная асвета, 2009. -- 287 с.
2. Шлыков В. В. Планиметрия: пособие для учащихся. -- Минск: Народная асвета, 2008. -- 247 с.
Высотой пирамиды называется перпендикуляр (или длина этого перпендикуляра), проведённый из вершины пирамиды к плоскости основания [1, с. 159]. Высотой призмы называется перпендикуляр (или длина этого перпендикуляра), проведённый из какой-нибудь точки плоскости одного основания к плоскости другого основания [1, с. 145]. В Вашем случае прямой призмы CC1 -- высота призмы. Если Вы опустите из точки S (вершины пирамиды) перпендикуляр SS1 к отрезку AC, то этот перпендикуляр будет параллелен отрезку CC1 в силу теоремы о пересечении двух прямых секущей [2, с. 53] и является высотой пирамиды. Его длина равна длине отрезка CC1 как сторона прямоугольника SS1C1C [2, с. 104]. Поэтому правильный ответ -- б) CC1.
Литература
1. Шлыков В. В. Стереометрия: пособие для учащихся. -- Минск: Народная асвета, 2009. -- 287 с.
2. Шлыков В. В. Планиметрия: пособие для учащихся. -- Минск: Народная асвета, 2008. -- 247 с.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
15.09.2019, 20:04
общий
Прошу извинить меня за беспокойство! Предлагаю дополнить сообщение, открывающее консультацию, текстом задания (с изображением), который я набрал ниже.
Точка S принадлежит ребру A1C1 прямой призмы ABCA1B1C1 (рис. 111, а). Длина высоты пирамиды SABC равна длине отрезка: а) SB; б) CC1; в) SC.
Точка S принадлежит ребру A1C1 прямой призмы ABCA1B1C1 (рис. 111, а). Длина высоты пирамиды SABC равна длине отрезка: а) SB; б) CC1; в) SC.
Рис. 111
Об авторе:
Facta loquuntur.
Facta loquuntur.
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