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Консультация № 194378
08.01.2019, 15:58
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Здравствуйте! У меня возникли сложности с ткаим вопросом, пожалуйста помогите!!!
На прямую 4x+5y-41=0, способную отражать лучи, падает луч 10x+4y-60=0. Составить уравнение отраженного луча.
На прямую 4x+5y-41=0, способную отражать лучи, падает луч 10x+4y-60=0. Составить уравнение отраженного луча.
Обсуждение
11.01.2019, 15:58
общий
это ответ
Здравствуйте, Alex!
Вычислим координаты точки пересечения заданных прямых.
Выведем уравнение с угловым коэффициентом для прямой, способной отражать лучи.
Выведем общее уравнение для перпендикуляра к прямой, способной отражать лучи, проходящего через точку пересечения заданных прямых.
Выберем на прямой, содержащей падающий луч, точку
и вычислим координаты точки, которая симметрична выбранной относительно прямой Выведем общее уравнение прямой, параллельной прямой, способной отражать лучи, и проходящей через выбранную точку.
Вычислим координаты точки пересечения прямых, заданных уравнениями
и
Тогда
-- искомые координаты.
Прямая, содержащая отражённый луч, проходит через точки
и 
Выведем её уравнение, используя уравнение прямой, проходящей через две заданные точки.
-- общее уравнение отражённого луча.
График показан ниже.
Вычислим координаты точки пересечения заданных прямых.
Выведем уравнение с угловым коэффициентом для прямой, способной отражать лучи.
Выведем общее уравнение для перпендикуляра к прямой, способной отражать лучи, проходящего через точку пересечения заданных прямых.
Выберем на прямой, содержащей падающий луч, точку
и вычислим координаты точки, которая симметрична выбранной относительно прямой Выведем общее уравнение прямой, параллельной прямой, способной отражать лучи, и проходящей через выбранную точку.Вычислим координаты точки пересечения прямых, заданных уравнениями
и Тогда
-- искомые координаты.Прямая, содержащая отражённый луч, проходит через точки
и Выведем её уравнение, используя уравнение прямой, проходящей через две заданные точки. -- общее уравнение отражённого луча.График показан ниже.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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