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Консультация № 192056
09.12.2017, 11:32
0.00 руб.
0
5
1
Здравствуйте! Прошу помощи в следующем вопросе:
В треугольнике ABC BB1 и CC1 - медианы, точка L делит отрезок BB_1 в отношении 1:2, считая от вершины B. В каком отношении прямая AL делит отрезок CC1, если считать от вершины C? Если ответ не выражается конечной десятичной дробью, округлите его до тысячных.
В треугольнике ABC BB1 и CC1 - медианы, точка L делит отрезок BB_1 в отношении 1:2, считая от вершины B. В каком отношении прямая AL делит отрезок CC1, если считать от вершины C? Если ответ не выражается конечной десятичной дробью, округлите его до тысячных.
Обсуждение
09.12.2017, 13:23
общий
Адресаты:
У Вас есть соображения по решению этой задачи? Если есть, то изложите их, пожалуйста.
Об авторе:
Facta loquuntur.
Facta loquuntur.
10.12.2017, 10:14
общий
Адресаты:
Обозначим D -- точка пересечения медиан, E -- точка пересечения отрезков AL и CC1. Используя свойство медиан, можно вычислить отношение длин отрезков BL и LD. Затем, применив теорему Менелая, можно вычислить отношение длин отрезков DE и EC1. Затем, снова применив свойство медиан, можно вычислить отношение длин отрезков CE и EC1.
Попробуйте выполнить расчёты и сообщите, что у Вас получилось.
Попробуйте выполнить расчёты и сообщите, что у Вас получилось.
Об авторе:
Facta loquuntur.
Facta loquuntur.
10.12.2017, 11:20
общий
Адресаты:
Полученный Вами ответ совпал с моим. Согласитесь, намного приятнее самому решить задачу, чем получить чужое решение. 
Об авторе:
Facta loquuntur.
Facta loquuntur.
10.12.2017, 11:22
общий
это ответ
Здравствуйте, IIISergeyIII!
Обозначим D -- точка пересечения медиан, E -- точка пересечения отрезков AL и CC1. Используя свойство медиан, можно вычислить отношение длин отрезков BL и LD. Затем, применив теорему Менелая, можно вычислить отношение длин отрезков DE и EC1. Затем, снова применив свойство медиан, можно вычислить отношение длин отрезков CE и EC1.
Полученные нами ответы (искомое отношение равно 8:1) совпали. Будем надеяться, что задача решена правильно.
Обозначим D -- точка пересечения медиан, E -- точка пересечения отрезков AL и CC1. Используя свойство медиан, можно вычислить отношение длин отрезков BL и LD. Затем, применив теорему Менелая, можно вычислить отношение длин отрезков DE и EC1. Затем, снова применив свойство медиан, можно вычислить отношение длин отрезков CE и EC1.
Полученные нами ответы (искомое отношение равно 8:1) совпали. Будем надеяться, что задача решена правильно.
5
Большое спасибо за ваше дружеское участие в решение задачи!<br>(А не в просто выдаче ответа для списывания)
Об авторе:
Facta loquuntur.
Facta loquuntur.
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