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Здравствуйте! Прошу помощи в следующем вопросе. Уравнение кривой второго порядка x^2+4y^2-x+8y-4,75=0 путем выделения полного квадрата привести к каноническому виду. Построить кривую
Здравствуйте! Прошу помощи в следующем вопросе. Даны три последовательные вершины параллелограмма А(3;-2), В(1;-1),С(0;5). Не находя координаты вершины D, найти: 1) уравнение стороны AD; 2) уравнение высоты BK, опущенной из вершины В на сторону AD; 3) длину высоты BK; 4) уравнение диагонали BD; 5) тангенс угла между диагоналями параллелограмма. Записать общие уравнения найденных прямых. Построить чертеж.
Я могу решить Вашу задачу "Найти:расстояние от точки D до плоскости ABC", другой эксперт может выкроить время решить Вашу другую задачу. Здесь нет бездельников, которым нечем заняться, кроме как долго и непрерывно решать большую кучу задач, лениво запиханных Вами в одну консультацию. Потрудитесь создать отдельные консультации для каждой Вашей задачи.
Когда Вы начинаете писать новое сообщение, то зачем-то кликаете ссылку "цитировать". Програма сервера "думает", будто Вы хотите вставить цитату, помогает Вам вставкой тэга цитирования. Но Вы не заполняете тэг текстом, и у Вас получается мусор типа [$91$]q=17387][$91$]/q]. Если Вы хотите отправить сообщение конкретному человеку, то кликните по чёрному треугольничку в правой части поля "Адресат". Сервер покажет Вам выпадающий список участников Вашей консультации. Выберите из этого списка желаемого адресата.
Для выделения полного квадрата используйте школьную формулу (x+a)2 = x2 + 2x*a + a2 Значит, x2 - x = x2 - 2*(1/2)*x + (1/2)2 - (1/2)2 = (x - 1/2)2 - 1/4 - первый из 2х полных квадратов выделен. Аналогично выделите 2й.
Поскольку в исходном сообщении Вы не настаиваете на полном решении задачи вместо Вас, постольку я постарался оказать Вам помощь, ограничившись выводом уравнения эллипса и его построением на онлайн-сервисе.
Имеем
Полученное выражение задаёт эллипс, центр которого находится в точке полуось, параллельная оси абсцисс равна а полуось, параллельная оси ординат, равна Уравнение заданного эллипса имеет канонический вид в системе координат где -- центр эллипса, оси и параллельны осям и соответственно, причём
Изображение эллипса, построенное на этом онлайн-сервисе: Ссылка >>, показано в прикреплённом файле.
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volobu17 
Гордиенко Андрей Владимирович 
полуось, параллельная оси абсцисс равна 
а полуось, параллельная оси ординат, равна 
Уравнение заданного эллипса имеет канонический вид 
в системе координат 
где 
-- центр эллипса, оси 
и 
параллельны осям 
и 
соответственно, причём 
