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Консультация № 185335
31.01.2012, 20:47
61.88 руб.
0
6
1
Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Прошу очень подробно расписать решение
Найти проекцию точки (а,b)[$8712$]R2 на круг x2+y2 [$8804$]c2, если a=3, b=5, c=3
Прошу очень подробно расписать решение
Найти проекцию точки (а,b)[$8712$]R2 на круг x2+y2 [$8804$]c2, если a=3, b=5, c=3
Обсуждение
31.01.2012, 23:41
общий
01.02.2012, 08:33
Уже второй подряд Ваш вопрос вызывает недоумение. Если речь идёт об ортогональной проекции, то и в данном случае, как видно, точка и круг лежат в одной плоскости, причём координаты точки не удовлетворяют уравнению круга. Следовательно, точка лежит вне круга и не проецируется на него.
Как называется раздел математики, из которого взята данная задача?
Как называется раздел математики, из которого взята данная задача?
Об авторе:
Facta loquuntur.
Facta loquuntur.
01.02.2012, 09:41
общий
Спасибо за информацию. Сообщите, пожалуйста, какими учебниками Вам рекомендовали пользоваться. Придётся поискать в них, что понимается под проекцией точки на полуплоскость и на круг. Если у Вас есть методические указания по выполнению подобных задач, загрузите, пожалуйста, их в электронном виде на сервер портала и дайте ссылку в мини-форуме консультации. Для загрузки воспользуйтесь опцией мои файлы (слева на странице).
Об авторе:
Facta loquuntur.
Facta loquuntur.
01.02.2012, 11:49
общий
это ответ
Здравствуйте, Посетитель - 356695!
Поступим аналогично тому, как это было сделано здесь: консультация № 185332. Будем искать точку границы круга - окружности
ближайшую к заданной точке 
Искомая точка принадлежит прямой, соединяющей центр окружности - точку 
и точку Находим уравнение этой прямой, воспользовавшись уравнением прямой, проходящей через две заданные точки:
Находим длину
отрезка, соединяющего точки и 
Искомая точка принадлежит построенному отрезку и границе заданного круга, находясь от начала координат на расстоянии
, равном радиусу окружности. Поэтому её координаты будут пропорциональны координатам точки
Ответ:
С уважением.
Поступим аналогично тому, как это было сделано здесь: консультация № 185332. Будем искать точку границы круга - окружности
ближайшую к заданной точке Искомая точка принадлежит прямой, соединяющей центр окружности - точку и точку Находим уравнение этой прямой, воспользовавшись уравнением прямой, проходящей через две заданные точки:Находим длину
отрезка, соединяющего точки и Искомая точка принадлежит построенному отрезку и границе заданного круга, находясь от начала координат на расстоянии
, равном радиусу окружности. Поэтому её координаты будут пропорциональны координатам точки Ответ:
С уважением.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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