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Консультация № 159302
01.02.2009, 08:09
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Здравствуйте уважаемые эксперты. Помогите с задачкой, есть некоторые вопросы...
Условие:
Линия задана уравнением r=r(ϕ) в полярной системе координат . Требуеться :
1 Построить линию по точкам начиная от ϕ=0 до ϕ=2π и придавая ϕ значение через промежуток π/8;
2 найти уравнение данной линии в декартовой прямоугольной системе координат, у каторой начало совподает с плюсом , а положительная полуось абцис - с полярной осью;
3 по уравнению в декартовой прямоугольной системе координат определить , какая это линия.
r=1/[3(1-cosϕ)]
на промежутке 0 градусов получилось
r=1/[3(1-cos 0)] = 1/0, вообщем делить нельзя, тогда что это означает бесконечность?
И в процессе составления уравнения получилось такое:
9y^2-6x-1=0
Дальше не пойму как выделить квадратный корень и довести задачку до конца.
За помощь буду очень благодарен.
Условие:
Линия задана уравнением r=r(ϕ) в полярной системе координат . Требуеться :
1 Построить линию по точкам начиная от ϕ=0 до ϕ=2π и придавая ϕ значение через промежуток π/8;
2 найти уравнение данной линии в декартовой прямоугольной системе координат, у каторой начало совподает с плюсом , а положительная полуось абцис - с полярной осью;
3 по уравнению в декартовой прямоугольной системе координат определить , какая это линия.
r=1/[3(1-cosϕ)]
на промежутке 0 градусов получилось
r=1/[3(1-cos 0)] = 1/0, вообщем делить нельзя, тогда что это означает бесконечность?
И в процессе составления уравнения получилось такое:
9y^2-6x-1=0
Дальше не пойму как выделить квадратный корень и довести задачку до конца.
За помощь буду очень благодарен.
Обсуждение
Неизвестный
02.02.2009, 11:12
общий
это ответ
Здравствуйте, Sheinman!
Если я не ошибаюсь, то эта бесконечность ничего не обозначает, а точнее, то, что в данной точке функция не существует.
2) Простите, а зачем Вам выделять квадратный корень?
x=(9y^2-1)/6 - это парабола с осью симметрии Ох, а не Оу.
Если возникнут вопросы, то отвечу в личном сообщении, так как, к сожалению, пока статус не позволяет отвечать в мини-форумах.
С уважением, Анастасия Ковалёва.
Если я не ошибаюсь, то эта бесконечность ничего не обозначает, а точнее, то, что в данной точке функция не существует.
2) Простите, а зачем Вам выделять квадратный корень?
x=(9y^2-1)/6 - это парабола с осью симметрии Ох, а не Оу.
Если возникнут вопросы, то отвечу в личном сообщении, так как, к сожалению, пока статус не позволяет отвечать в мини-форумах.
С уважением, Анастасия Ковалёва.
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