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Консультация № 191969
03.12.2017, 07:00
0.00 руб.
0
1
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Помогите пожалуйста привести уравнение кривой второго порядка к каноническому виду и найти его фокусы
x^2+4y^2+4x-16y-8=0
Помогите пожалуйста привести уравнение кривой второго порядка к каноническому виду и найти его фокусы
x^2+4y^2+4x-16y-8=0
Обсуждение
03.12.2017, 07:28
общий
это ответ
Здравствуйте, PavelKotik!
Приведём заданное уравнение кривой к каноническому виду.
Уравнение
задаёт эллипс, с полуосями 
центр которого находится в точке 
Фокусы эллипса находятся на прямой 
и расположены симметрично друг к другу относительно прямой 
Вычислим расстояние от каждого из фокусов эллипса до его центра.
Следовательно, фокусами эллипса являются точки
Приведём заданное уравнение кривой к каноническому виду.
Уравнение
задаёт эллипс, с полуосями центр которого находится в точке Фокусы эллипса находятся на прямой и расположены симметрично друг к другу относительно прямой Вычислим расстояние от каждого из фокусов эллипса до его центра.
Следовательно, фокусами эллипса являются точки
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
Форма ответа
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