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Консультация № 190958
07.05.2017, 19:19
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос (смотрите в приложении):
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Обсуждение
08.05.2017, 20:02
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Вас интересует, при каких значениях параметра t вершины четырёх парабол расположены ниже оси Ox?
Об авторе:
Facta loquuntur.
Facta loquuntur.
08.05.2017, 20:28
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Тогда Вас интересуют ответы на 12 вопросов. Многовато для одной консультации, по-моему.
Об авторе:
Facta loquuntur.
Facta loquuntur.
09.05.2017, 00:43
общий
Мне кажется, что для прояснения ситуации достаточно рассмотреть одну параболу (например, 1)?
09.05.2017, 08:14
общий
это ответ
Здравствуйте, svrvsvrv!
Если функция имеет вид
где 
то вершина её графика имеет координаты
Рассмотрим функцию
Здесь
Понятно, что если
вершина параболы расположена ниже оси
то 
вершина параболы расположена выше оси то 
или 
вершина параболы расположена на оси то 
Обратно,
вершина параболы расположена ниже оси
при 
вершина параболы расположена выше оси при 
или
вершина параболы расположена на оси при 
Если функция имеет вид
где то вершина её графика имеет координаты
Рассмотрим функцию
Здесь
Понятно, что если
вершина параболы расположена ниже оси
то вершина параболы расположена выше оси
то или вершина параболы расположена на оси
то Обратно,
вершина параболы расположена ниже оси
при вершина параболы расположена выше оси
при или вершина параболы расположена на оси
при
5
Большое спасибо.
Об авторе:
Facta loquuntur.
Facta loquuntur.
09.05.2017, 14:18
общий
То есть t находится арифметически решением неравенства? А как найти то, что t меньше (больше) 0? Для этого надо рассуждать или можно это выяснить арифметически?
09.05.2017, 19:05
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svrvsvrv То есть t находится арифметически решением неравенства?
Да, арифметически. Точнее, алгебраически.
Как бы Вы решали, например, неравенство
Об авторе:
Facta loquuntur.
Facta loquuntur.
10.05.2017, 01:39
общий
Расчёты прикладываю. Из них следует, что t<2/3. Как отсюда вычислить, что t>0?
10.05.2017, 06:19
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Адресаты:
Вы неправильно решали неравенство. Пусть 
Тогда
Попробуйте продолжить теперь.
ТогдаПопробуйте продолжить теперь.
Об авторе:
Facta loquuntur.
Facta loquuntur.
10.05.2017, 11:16
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Тем самым Вам должно стать понятно, почему 
Это решение первой системы неравенств. Вторая система неравенств решения не имеет.
Это решение первой системы неравенств. Вторая система неравенств решения не имеет.
Об авторе:
Facta loquuntur.
Facta loquuntur.
10.05.2017, 11:24
общий
Насчёт первой системы становится понятно. Вторая система не имеет решения, потому что нет общих точек?
10.05.2017, 11:29
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svrvsvrv Вторая система не имеет решения, потому что нет общих точек?
Вторая система не имеет решения, потому что не может быть одновременно
и 
Об авторе:
Facta loquuntur.
Facta loquuntur.
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