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Консультация № 99764
26.08.2007, 22:05
0.00 руб.
0
2
2
Помогите решить задачку.
По координатам вершин треугольника ABC найти уравнение биссектрисы AM
А(9,0)
В(5,5)
С(0,-3)
По координатам вершин треугольника ABC найти уравнение биссектрисы AM
А(9,0)
В(5,5)
С(0,-3)
Обсуждение
Неизвестный
26.08.2007, 23:12
общий
это ответ
Здравствуйте, Lulonka!
Вектор AC имеет координаты (-9,-3), вектор AB - (-4,5). Модули этих векторов соответственно равны 3*sqrt(10) и sqrt(41). Найдём сумму векторов AC/(3*sqrt(10)) и AB/sqrt(41), обозначим AM1:
AM1 = (-3/sqrt(10)-4/sqrt(41), -1/sqrt(10)+5/sqrt(41)).
Вектор AM1 будет направляющим прямой AM. Значит, уравнение прямой AM имеет вид
(5/sqrt(41)-1/sqrt(10))*x + (3/sqrt(10)+4/sqrt(41))*y + C = 0,
где C - неизвестный коэффициент.
Подставим в уравнение координаты точки A (так как биссектриса AM проходит через эту точку) и найдём C:
C = 9/sqrt(10)-45/sqrt(41).
Ответ: (5/sqrt(41)-1/sqrt(10))*x + (3/sqrt(10)+4/sqrt(41))*y + 9/sqrt(10)-45/sqrt(41) = 0
Вектор AC имеет координаты (-9,-3), вектор AB - (-4,5). Модули этих векторов соответственно равны 3*sqrt(10) и sqrt(41). Найдём сумму векторов AC/(3*sqrt(10)) и AB/sqrt(41), обозначим AM1:
AM1 = (-3/sqrt(10)-4/sqrt(41), -1/sqrt(10)+5/sqrt(41)).
Вектор AM1 будет направляющим прямой AM. Значит, уравнение прямой AM имеет вид
(5/sqrt(41)-1/sqrt(10))*x + (3/sqrt(10)+4/sqrt(41))*y + C = 0,
где C - неизвестный коэффициент.
Подставим в уравнение координаты точки A (так как биссектриса AM проходит через эту точку) и найдём C:
C = 9/sqrt(10)-45/sqrt(41).
Ответ: (5/sqrt(41)-1/sqrt(10))*x + (3/sqrt(10)+4/sqrt(41))*y + 9/sqrt(10)-45/sqrt(41) = 0
Неизвестный
27.08.2007, 16:04
общий
это ответ
<font color=red><b>!!!</b></font>
Здравствуйте, Lulonka!
Находим координаты т М(5;2) <font color=red>!!! По какой формуле считали?</font>
Записываем у-нение
(x-9)/(5-9)=(y-0)/(2-0)
Записываем ответ
2y=9-x
<p><fieldset style=‘background-color:#EFEFEF; width:80%; border:red 1px solid; padding:10px;‘ class=fieldset><font color=red><i>Ответ неверный. См. предыдущий ответ.</i>
-----
</font><font color=#777777 size=1><b>• Отредактировал: <a href=/info/user/118729 target=_blank>Агапов Марсель</a></b> (Специалист)
<b>• Дата редактирования:</b> 11.11.2007, 16:48</font></fieldset>
Здравствуйте, Lulonka!
Находим координаты т М(5;2) <font color=red>!!! По какой формуле считали?</font>
Записываем у-нение
(x-9)/(5-9)=(y-0)/(2-0)
Записываем ответ
2y=9-x
<p><fieldset style=‘background-color:#EFEFEF; width:80%; border:red 1px solid; padding:10px;‘ class=fieldset><font color=red><i>Ответ неверный. См. предыдущий ответ.</i>
-----
</font><font color=#777777 size=1><b>• Отредактировал: <a href=/info/user/118729 target=_blank>Агапов Марсель</a></b> (Специалист)
<b>• Дата редактирования:</b> 11.11.2007, 16:48</font></fieldset>
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