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Консультация № 109114
12.11.2007, 20:09
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Даны точки А(4:2) и В(0:8), являющиеся смежными вершинами параллелограма, диагонали которого пересекаются в начале координат. Нужно записать ур-е сторон.
Помогите пожалуйста, буду презнателен!
Помогите пожалуйста, буду презнателен!
Обсуждение
Неизвестный
12.11.2007, 20:39
общий
это ответ
Здравствуйте, Caspersurgut!
Уравнение прямой АВ:
A(4;2)B(0;8)
(y-2)/6=(x-4)/-4
y-2=-1.5(x-4)
y=-1.5x+8
Так как точка пересечения диагоналей - начало координат, то D(0;-8) C(-4;-2)
Тогда уравнение AD:
(y+8)/-10=x/-4
y+8=2.5x
y=2.5x-8
Уравнение BC:
(y+2)/-10=(x+4)/-4
y+2=2.5(x+4)
y=2.5x+8
Уравнение СД
(y+8)/-6=x/4
y=-1.5x-8
Уравнение прямой АВ:
A(4;2)B(0;8)
(y-2)/6=(x-4)/-4
y-2=-1.5(x-4)
y=-1.5x+8
Так как точка пересечения диагоналей - начало координат, то D(0;-8) C(-4;-2)
Тогда уравнение AD:
(y+8)/-10=x/-4
y+8=2.5x
y=2.5x-8
Уравнение BC:
(y+2)/-10=(x+4)/-4
y+2=2.5(x+4)
y=2.5x+8
Уравнение СД
(y+8)/-6=x/4
y=-1.5x-8
Форма ответа
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