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Консультация № 191715
09.11.2017, 18:48
0.00 руб.
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Прикрепленные файлы:
Обсуждение
12.11.2017, 19:02
общий
это ответ
Здравствуйте, more_1112!
A) Мои рассуждения при решении этой задачи вкратце были следующими.
По теореме Менелая
откуда
Проведём через точку
отрезок параллельно отрезку 
до пересечения с прямой 
в точке 
Тогда
Поскольку
постольку
Углы при вершине
в треугольниках 
и 
равны как вертикальные, поэтому высоты этих треугольников относятся как Поскольку 
(основания этих треугольников имеют равные длины), постольку площади этих треугольников относятся как их стороны, то есть 
Поэтому
то есть площадь треугольника составляет одну восьмую часть площади треугольника 
Эти рассуждения нужно проверить и, если нужно, дополнить.
A) Мои рассуждения при решении этой задачи вкратце были следующими.
По теореме Менелая
откуда
Проведём через точку
отрезок параллельно отрезку до пересечения с прямой в точке ТогдаПоскольку
постолькуУглы при вершине
в треугольниках и равны как вертикальные, поэтому высоты этих треугольников относятся как Поскольку (основания этих треугольников имеют равные длины), постольку площади этих треугольников относятся как их стороны, то есть Поэтомуто есть площадь треугольника
составляет одну восьмую часть площади треугольника Эти рассуждения нужно проверить и, если нужно, дополнить.
Об авторе:
Facta loquuntur.
Facta loquuntur.
14.11.2017, 13:43
общий
Адресаты:
ЗДРАВСТВУЙТЕ. Разбиралась тут с задачей в консультации 191715 т.к задали нечто подобное и не смогла понять вот с этого момента "Поскольку DM=1/6AB, постольку SMKC+1/36SABE...". Треугольник МКС это к чему?
14.11.2017, 14:05
общий
rita_2708 Треугольник МКС это к чему?
Он подобен треугольнику
с коэффициентом подобия, равным 
Об авторе:
Facta loquuntur.
Facta loquuntur.
14.11.2017, 15:20
общий
Адресаты:
rita_2708 Простите, но по какому признаку подобия, что я его не вижу
А рисунок Вы выполнили?
Об авторе:
Facta loquuntur.
Facta loquuntur.
14.11.2017, 15:28
общий
Но рисунок есть во вложении и я пока разбираюсь с этой задачей. Просто я не очень понимаю почему DM=1/6AB и каким боком это относится к треугольнику МКС. 
Поэтому воспроизведите дополнения к рисунку в соответствии с тем, что я написал в решении, либо решите задачу сами, без лишних вопросов.
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