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Консультация № 176841
21.02.2010, 19:25
0.00 руб.
0
3
1
Доброго времени суток.
Помогите решить задачку:на плоскости проведено две парралельные прямые,расстояние между ним равно 2а ,на плоскости между ними взят круг,радиуса R< a.Какова вероятность того что круг не пересекает ни одной из этих прямых .К ответу предоставить расчёты
Помогите решить задачку:на плоскости проведено две парралельные прямые,расстояние между ним равно 2а ,на плоскости между ними взят круг,радиуса R< a.Какова вероятность того что круг не пересекает ни одной из этих прямых .К ответу предоставить расчёты
Обсуждение
Неизвестный
21.02.2010, 19:58
общий
это ответ
Здравствуйте, Бабич Илья Александрович.
Точка O (центр окружности) может быть размещена в любой точке отрезка AB, длина которого равна L=2a.
Однако, чтобы окружность не пересекала прямую, точка O должна размещаться на отрезке, длина L1 которого равна L1 = 2(a-R).
Искомая вероятность
p=L1/L = 1 - R/a.
Точка O (центр окружности) может быть размещена в любой точке отрезка AB, длина которого равна L=2a.
Однако, чтобы окружность не пересекала прямую, точка O должна размещаться на отрезке, длина L1 которого равна L1 = 2(a-R).
Искомая вероятность
p=L1/L = 1 - R/a.
5
Спасибо больше за ответ/помощь
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