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Консультация № 67061
15.12.2006, 08:39
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Составить уравнение и построить линию, расстояние каждой точки которой от точки А(2;0) и от прямой 2х+5=0 относятся как 4:5.
Обсуждение
Неизвестный
15.12.2006, 16:42
общий
это ответ
Здравствуйте, 122333!
Могу предположить, что это решается так:
((x-2)^2 + y^2)^0.5 = (x + 5/2) * 4/5;
Слева - расстояние до точки, справа - расстояние до прямой, умноженное на коэффициент отношения.
Решая получим примерно следующее (не проверял на правильность, мог запутаться в расчетах):
y^2 = -9/25 * x^2 + 7.2x;
Ну а построить по нему уже не проблема.
Могу предположить, что это решается так:
((x-2)^2 + y^2)^0.5 = (x + 5/2) * 4/5;
Слева - расстояние до точки, справа - расстояние до прямой, умноженное на коэффициент отношения.
Решая получим примерно следующее (не проверял на правильность, мог запутаться в расчетах):
y^2 = -9/25 * x^2 + 7.2x;
Ну а построить по нему уже не проблема.
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