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Консультация № 192950
17.03.2018, 19:40
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Привеcnb пример тетраэдра, у которого высоты не пересекаются в одной точке.
Привеcnb пример тетраэдра, у которого высоты не пересекаются в одной точке.
Обсуждение
17.03.2018, 20:13
общий
Адресаты:
Возьмём плоскость и точку 
вне этой плоскости. Опустим из точки на плоскость перпендикуляр с основанием 
Выберем точку 
не совпадающую с точкой 
в этой плоскости и проведём через неё прямую 
не лежащую в плоскости 
Через точку проведём плоскость перпендикулярно 
Она пересечёт исходную плоскость по прямой. На ней выбираем произвольно точки 
Тогда у 
высоты 
и 
не пересекутся.
Взято отсюда. Проверьте самостоятельно.
вне этой плоскости. Опустим из точки на плоскость перпендикуляр с основанием Выберем точку не совпадающую с точкой в этой плоскости и проведём через неё прямую не лежащую в плоскости Через точку проведём плоскость перпендикулярно Она пересечёт исходную плоскость по прямой. На ней выбираем произвольно точки Тогда у высоты и не пересекутся.Взято отсюда. Проверьте самостоятельно.
Об авторе:
Facta loquuntur.
Facta loquuntur.
18.03.2018, 09:21
общий
это ответ
Здравствуйте, vera.grigoriewa2013!
Возьмём плоскость и точку вне этой плоскости. Опустим из точки на плоскость перпендикуляр с основанием Выберем точку не совпадающую с точкой в этой плоскости и проведём через неё прямую не лежащую в плоскости Через точку проведём плоскость перпендикулярно Она пересечёт исходную плоскость по прямой. На ней выбираем произвольно точки Тогда у высоты и не пересекутся.
Взято отсюда. Проверьте самостоятельно.
Возьмём плоскость и точку
вне этой плоскости. Опустим из точки на плоскость перпендикуляр с основанием Выберем точку не совпадающую с точкой в этой плоскости и проведём через неё прямую не лежащую в плоскости Через точку проведём плоскость перпендикулярно Она пересечёт исходную плоскость по прямой. На ней выбираем произвольно точки Тогда у высоты и не пересекутся.Взято отсюда. Проверьте самостоятельно.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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