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Консультация № 198187
08.04.2020, 21:59
0.00 руб.
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3
1
Здравствуйте эксперты! Пожалуйста помогите решить данную задачу:
Первая прямая проходит через точки A=(2;3;5) и B=(2;2;6). Вторая прямая проходит через точки C=(5;7;1) и D=(6;8;0). Найти координаты точки пересечения этих прямых. Ответ запишите в виде "(12;-34;56)". Без пробелов.
Первая прямая проходит через точки A=(2;3;5) и B=(2;2;6). Вторая прямая проходит через точки C=(5;7;1) и D=(6;8;0). Найти координаты точки пересечения этих прямых. Ответ запишите в виде "(12;-34;56)". Без пробелов.
Обсуждение
24.07.2022, 08:04
общий
это ответ
Здравствуйте, Ikrom!
Зададим уравнения двух заданных прямых уравнениями пересекающихся плоскостей.
Для прямой
имеем
Для прямой
имеем
Составим систему уравнений из уравнений заданных прямых.
Эту систему можно сразу упростить, учитывая, что
Тогда получим
или 
Следовательно, заданные прямые пересекаются в точке
Зададим уравнения двух заданных прямых уравнениями пересекающихся плоскостей.
Для прямой
имеемДля прямой
имеемСоставим систему уравнений из уравнений заданных прямых.
Эту систему можно сразу упростить, учитывая, что
Тогда получим или Следовательно, заданные прямые пересекаются в точке
Об авторе:
Facta loquuntur.
Facta loquuntur.
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