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Консультация № 198310
20.04.2020, 12:42
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос: Через точку А, лежащую вне окружности, проведены две прямые. Одна прямая касается окружности в точке К. Другая прямая пересекает окружность в точках В и С, причём АВ=3, ВС=72. Найдите АК. Заранее благодарен.
Обсуждение
21.04.2020, 16:36
общий
Я вспомнил одну теорему: Квадрат касательной равен произведению секущей на часть секущей вне окружности.
AK^2=AC*AB
AK^2=(72+3)*3
AK^2=75*3
AK^2=225
AK=15
Ответ: AK=15
AK^2=AC*AB
AK^2=(72+3)*3
AK^2=75*3
AK^2=225
AK=15
Ответ: AK=15
25.04.2020, 03:21
общий
Адресаты:
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