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Консультация № 194357
Обсуждение
07.01.2019, 18:49
общий
это ответ
Здравствуйте, Марина!
Рассмотрим задание 1. Пусть даны вершины треугольника
1) Составим уравнения трёх сторон треугольника
Используя уравнение прямой, проходящей через две заданные точки, получим
для стороны
для стороны
для стороны
2) Вычислим координаты точки
-- середины отрезка 
получим
Выведем уравнение медианы
используя уравнение прямой, проходящей через две заданные точки.
3) Имеем
(ед. длины),
(ед. длины).
По свойству биссектрисы угла
точка 
её пересечения со стороной 
делит отрезок в отношении
Тогда
Выведем уравнение биссектрисы
используя уравнение прямой, проходящей через две заданные точки.
4) Выведем уравнение с угловым коэффициентом для прямой
используя расчёт, выполненный в пункте 1.
Высота, опущенная из вершины
на сторону перпендикулярна этой стороне. Поэтому её угловой коэффициент 
Выведем общее уравнение этой высоты. Получим
Это уравнение совпадает с уравнением стороны
Значит, треугольник 
прямоугольный.
[offtop]Конечно, я сомневаюсь, что выполнив задание вместо Вас, я помог Вам, но надеюсь, что это действительно так...
[/offtop]
Рассмотрим задание 1. Пусть даны вершины треугольника
1) Составим уравнения трёх сторон треугольника
Используя уравнение прямой, проходящей через две заданные точки, получимдля стороны
для стороны
для стороны
2) Вычислим координаты точки
-- середины отрезка получимВыведем уравнение медианы
используя уравнение прямой, проходящей через две заданные точки.3) Имеем
(ед. длины), (ед. длины).По свойству биссектрисы угла
точка её пересечения со стороной делит отрезок в отношенииТогда
Выведем уравнение биссектрисы
используя уравнение прямой, проходящей через две заданные точки.4) Выведем уравнение с угловым коэффициентом для прямой
используя расчёт, выполненный в пункте 1.Высота, опущенная из вершины
на сторону перпендикулярна этой стороне. Поэтому её угловой коэффициент Выведем общее уравнение этой высоты. ПолучимЭто уравнение совпадает с уравнением стороны
Значит, треугольник прямоугольный.[offtop]Конечно, я сомневаюсь, что выполнив задание вместо Вас, я помог Вам, но надеюсь, что это действительно так...
[/offtop]
Об авторе:
Facta loquuntur.
Facta loquuntur.
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