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Консультация № 146359
07.10.2008, 18:04
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Окружность разделена точками А, В, С, и D так, что AB:BC:CD:AD = 2:3:5:6. Проведены хорды АС и BD, пересекающиеся в точке М. Определить угол АМВ.
Обсуждение
Неизвестный
08.10.2008, 04:14
общий
08.10.2008, 06:45
это ответ
Здравствуйте, Stepanov92!
Подобнай вопрос был уже задан ранее
Приложение:
Смотрите ответы на вопрос № 146109.
Добавлено:
Для определения угла АМВ обратим внимание на треугольники: АВО, АСО.
они оба равнобедренные (стороны = радиусу)
уг. ОАВ=уг. ОВА и =(180-45)/2=67.5 градусов, где 45 - Это 2 доли из 16 (2+3+5+6=16)
уг. ОАС = уг. ОСА и =(180-112.5)/2=33.75 гр.
из вышесказанного =>
уг МАВ=67.5-33.75=33.75 гр.
отсюда уг. АМВ=180-67.5-33.75=78.75 или 78g45m
Подобнай вопрос был уже задан ранее
Приложение:
Смотрите ответы на вопрос № 146109.
Добавлено:
Для определения угла АМВ обратим внимание на треугольники: АВО, АСО.
они оба равнобедренные (стороны = радиусу)
уг. ОАВ=уг. ОВА и =(180-45)/2=67.5 градусов, где 45 - Это 2 доли из 16 (2+3+5+6=16)
уг. ОАС = уг. ОСА и =(180-112.5)/2=33.75 гр.
из вышесказанного =>
уг МАВ=67.5-33.75=33.75 гр.
отсюда уг. АМВ=180-67.5-33.75=78.75 или 78g45m
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