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Консультация № 189676
10.08.2016, 11:07
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Здравствуйте! Прошу помощи в следующей задачи :
Прикрепленные файлы:
Обсуждение
11.08.2016, 23:18
общий
это ответ
Здравствуйте, anton74551!
Сообщаю Вам свои соображения к выполнению первого пункта задания.
Выполним рисунок для произвольного треугольника
На этом рисунке через точку
проведена прямая, параллельная прямой 
и через 
обозначена точка пересечения этой прямой с прямой 
Треугольник 
подобен треугольнику 
по двум углам (углы и 
и 
являются соответственными), а значит, равными, будучи углами при пересечении двух параллельных прямых (
и 
) третьей (
или 
). Тогда
Подобными являются также треугольники
и 
по двум равным накрест лежащим углам (
и 
и 
) при пересечении двух параллельных прямых ( и ) третьей (
или ). Тогда
Из формул
и 
получим, что
Сообщаю Вам свои соображения к выполнению первого пункта задания.
Выполним рисунок для произвольного треугольника
На этом рисунке через точку
проведена прямая, параллельная прямой и через обозначена точка пересечения этой прямой с прямой Треугольник подобен треугольнику по двум углам (углы и и являются соответственными), а значит, равными, будучи углами при пересечении двух параллельных прямых ( и ) третьей ( или ). ТогдаПодобными являются также треугольники
и по двум равным накрест лежащим углам ( и и ) при пересечении двух параллельных прямых ( и ) третьей ( или ). ТогдаИз формул
и получим, что
Об авторе:
Facta loquuntur.
Facta loquuntur.
Форма ответа
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