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Консультация № 195748
29.05.2019, 06:05
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Построить треугольник по двум сторонам и медиане, проведённой к третьей стороне. (Обязательно сделайте чертёж.)
Построить треугольник по двум сторонам и медиане, проведённой к третьей стороне. (Обязательно сделайте чертёж.)
Обсуждение
30.05.2019, 19:28
общий
это ответ
Здравствуйте, svetuta36!
Пусть заданы отрезки
-- стороны искомого треугольника 
и 
-- медиана, проведённая к стороне 
Предположим, что искомый рисунок построен (рисунок в прикреплённом файле) и 
Продолжив медиану за точку
на величину 
получим треугольники 
и 
которые равны между собой по двум сторонам и углу между ними 
Тогда 
Следовательно, чтобы построить искомый треугольник
нужно сначала построить треугольник по трём сторонам 
(на рисунке это треугольник 
), продлить отрезок 
за точку на величину 
соединить точки 
и 
Как построить треугольник по трём сторонам, указано, например, на с. 70 -- 71 [1].
Литература
1. Погорелов А. В. Геометрия: учебник для 7 -- 11 кл. -- М.: Просвещение, 1995. -- 383 с.
Пусть заданы отрезки
-- стороны искомого треугольника и -- медиана, проведённая к стороне Предположим, что искомый рисунок построен (рисунок в прикреплённом файле) и Продолжив медиану за точку
на величину получим треугольники и которые равны между собой по двум сторонам и углу между ними Тогда Следовательно, чтобы построить искомый треугольник
нужно сначала построить треугольник по трём сторонам (на рисунке это треугольник ), продлить отрезок за точку на величину соединить точки и Как построить треугольник по трём сторонам, указано, например, на с. 70 -- 71 [1].
Литература
1. Погорелов А. В. Геометрия: учебник для 7 -- 11 кл. -- М.: Просвещение, 1995. -- 383 с.
Прикрепленные файлы:
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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