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Консультация № 191853
22.11.2017, 22:14
0.00 руб.
0
2
1
Здравствуйте! У меня возникли сложности с таким вопросом:
Хорды окружности AB и CD пересекаются в точке K и перпендикулярны друг другу Как доказать, что AC^2+BD^2=4R^2 , где R радиус окружности?
Хорды окружности AB и CD пересекаются в точке K и перпендикулярны друг другу Как доказать, что AC^2+BD^2=4R^2 , где R радиус окружности?
Обсуждение
23.11.2017, 20:41
общий
это ответ
Здравствуйте, semalina!
Хорды
и 
взаимно перпендикулярны, поэтому сумма угловых величин дуг 
и 
равна 
Проведём отрезок 
такой, что 
Тогда угловые величины дуг 
и равны между собой и угловая величина дуги равна 
Хорды
и взаимно перпендикулярны, поэтому сумма угловых величин дуг и равна Проведём отрезок такой, что Тогда угловые величины дуг и равны между собой и угловая величина дуги равна
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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