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Консультация № 201199
22.06.2021, 10:25
0.00 руб.
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3
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Найти гиперболу, вершины и фокусы которой находятся в соответствующих вершинах и фокусах эллипса x^2/8 + y^2/5 = 1.
Найти гиперболу, вершины и фокусы которой находятся в соответствующих вершинах и фокусах эллипса x^2/8 + y^2/5 = 1.
Обсуждение
22.06.2021, 10:47
общий
Адресаты:
Почитайте "Линии второго порядка. Эллипс и его каноническое уравнение" Ссылка1 , и Вы легко получите вершины и фокусы с заданного Вам эллипса.
Потом почитайте "Гипербола и парабола. Линии 2го порядка" Ссылка2 , и Вы сможете также легко сгенерить уравнение искомой гиперболы по известным вершине и фокусу.
Покажите своё решение сюда для проверки / поправки.
Это будет быстрее и гораздо полезнее, чем тупо ждать Ответ экспертов.
Потом почитайте "Гипербола и парабола. Линии 2го порядка" Ссылка2 , и Вы сможете также легко сгенерить уравнение искомой гиперболы по известным вершине и фокусу.
Покажите своё решение сюда для проверки / поправки.
Это будет быстрее и гораздо полезнее, чем тупо ждать Ответ экспертов.
22.06.2021, 11:22
общий
это ответ
Здравствуйте, mathelp!
Пусть эллипс задан уравнением
или 
Вершины этого эллипса расположены в точках 
Вычисляя 
получим 
Значит, фокусы эллипса расположены в точках 
Пусть вершины и фокусы гиперболы расположены в указанных выше точках
соответственно. Тогда 
Значит, парабола задана уравнением 
Увидеть графики эллипса и параболы Вы можете здесь: Ссылка >>.
Пусть эллипс задан уравнением
или Вершины этого эллипса расположены в точках Вычисляя получим Значит, фокусы эллипса расположены в точках Пусть вершины и фокусы гиперболы расположены в указанных выше точках
соответственно. Тогда Значит, парабола задана уравнением Увидеть графики эллипса и параболы Вы можете здесь: Ссылка >>.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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