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Консультация № 194220
17.12.2018, 22:34
0.00 руб.
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1
Здравствуйте! У меня возникли сложности с таким вопросом:
написать уравнение плоскостей параллельных плоскости 4x-4у+2z-3=0 и отстоящих от нее на расстоянии 5 единиц.
написать уравнение плоскостей параллельных плоскости 4x-4у+2z-3=0 и отстоящих от нее на расстоянии 5 единиц.
Обсуждение
21.12.2018, 07:45
общий
это ответ
Здравствуйте, lenocvol!
Воспользуемся формулой, по которой вычисляют расстояние
от точки 
до плоскости, заданной относительно декартовой прямоугольной системы координат уравнением 
Точка
принадлежит заданной плоскости. Расстояние от этой точки до любой из двух искомых плоскостей должно быть равно 
то есть
откуда получим, что
или 
то есть искомые уравнения имеют вид
Воспользуемся формулой, по которой вычисляют расстояние
от точки до плоскости, заданной относительно декартовой прямоугольной системы координат уравнением Точка
принадлежит заданной плоскости. Расстояние от этой точки до любой из двух искомых плоскостей должно быть равно то естьоткуда получим, что
или то есть искомые уравнения имеют вид
Об авторе:
Facta loquuntur.
Facta loquuntur.
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