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Правильно утверждать, что если числу поставлена в соответствие точка то числу -- точка При этом обе точки лежат на одной прямой, которая проходит через начало координат. Если соединить начало координат с точкой направленным отрезком, начало которого расположено в начале координат, а конец -- в указанной точке, то угол между положительным направлением оси абсцисс и этим направленным отрезком суть аргумент числа Так?
Мы ведь обсуждаем задание пункта а). Почему Вы думаете, что число расположено в первой четверти? Ведь То есть знаки чисел могут быть любыми.
Если находится в первой четверти, то находится в третьей четверти; если находится во второй четверти, то находится в четвёртой четверти, и т. д. И, самое главное, если направленный отрезок, соответствующий числу образует с положительным направлением оси абсцисс угол то направленный отрезок, соответствующий числу образует угол (в радианной мере), или (в градусной мере). Проверьте это на рисунке.
Попробуйте теперь самостоятельно разобраться с заданием пункта б).
Кажется, я понял. В пункте б) аргумент будет равен 45 градусам
Нет. Продолжим разбираться с пунктом а). Выполните рисунок, на котором изобразите направленные отрезки, соответствующие числам и углы Покажите этот рисунок здесь.
Во вложенном файле я внёс изменения в Ваш рисунок: красной стрелкой обозначен угол синей стрелкой -- угол (он равен ), чёрной стрелкой -- угол (он равен ). Оба значения угла являются аргументами числа
В мини-форуме консультации мы детально разобрали задание пункта а).
Чтобы выполнить задание пункта б), можно поступить так же, как и при выполнении задания пункта а), учитывая при этом, что то есть если числу соответствует точка то числу соответствует точка
Чтобы выполнить задание пункта г), можно воспользоваться тем, что
При этом
Чтобы выполнить задание пункта в), можно воспользоваться тригонометрическими представлениями числителя и знаменателя и формулами умножения и деления комплексных чисел.
Если у Вас возникнут дальнейшие вопросы, то обращайтесь в мини-форум консультации. Я постараюсь ответить на них по мере наличия свободного времени.
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Daile 
и 
Проще всего это сделать, используя геометрическую интерпретацию комплексного числа.
поставлена в соответствие точка 
на плоскости. Какая точка будет поставлена в соответствие числу 
то числу 
-- точка 
При этом обе точки лежат на одной прямой, которая проходит через начало координат. Если соединить начало координат с точкой 
Так?
то каким будет угол между этим направленным отрезком и первым?
Гордиенко Андрей Владимирович 
расположены симметрично друг другу относительно начала координат.
То есть знаки чисел 
могут быть любыми.
образует с положительным направлением оси абсцисс угол 
то направленный отрезок, соответствующий числу 
образует угол 
(в радианной мере), или 
(в градусной мере). Проверьте это на рисунке.
Продолжим разбираться с пунктом а). Выполните рисунок, на котором изобразите направленные отрезки, соответствующие числам 
и углы 
Покажите этот рисунок здесь.
и 
(он равен 
). Оба значения угла 
то есть если числу 
соответствует точка 
