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Консультация № 183315
24.05.2011, 17:31
0.00 руб.
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Здравствуйте! Прошу помощи в следующем вопросе:
Периметр выпуклого четырёхугольника равен 2010, длина одной из его диагоналей равна 1000, а длина второй — целому числу m. Найдите наименьшее и наибольшее значения m.
Периметр выпуклого четырёхугольника равен 2010, длина одной из его диагоналей равна 1000, а длина второй — целому числу m. Найдите наименьшее и наибольшее значения m.
Обсуждение
Неизвестный
25.05.2011, 01:51
общий
это ответ
Здравствуйте, Асмик Александровна!
Если рассматривать известную диагональ как расстояние между фокусами эллипса, то получится, что перифокусное расстояние для указанного значения периметра будет равно 5.
При расположении четвертой вершины четырехугольника (с соблюдением условия выпуклости) в непосредственной окрестности близлежащего фокуса получим минимальное целое значение диагонали равное 6.
При расположении вершины у дальнего фокуса это расстояние будет максимальным - 1004.
Если рассматривать известную диагональ как расстояние между фокусами эллипса, то получится, что перифокусное расстояние для указанного значения периметра будет равно 5.
При расположении четвертой вершины четырехугольника (с соблюдением условия выпуклости) в непосредственной окрестности близлежащего фокуса получим минимальное целое значение диагонали равное 6.
При расположении вершины у дальнего фокуса это расстояние будет максимальным - 1004.
5
Спасибо, Вы мне очень помогли.
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