Числовые промежутки: аналитическая, геометрическая модель и обозначения
Я понял, вам нужно заполнить таблицу, представляющую различные способы описания числовых промежутков. Давайте сделаем это по порядку.
Задание 1
Первая строка таблицы уже содержит геометрическую модель числового промежутка. Нам нужно заполнить аналитическую модель, обозначение промежутка и название промежутка.
- Геометрическая модель: На числовой прямой заштрихована область от минус бесконечности до 2, включая 2.
- Аналитическая модель: Это можно записать как \(x \le 2\).
- Обозначение промежутка: \((-\infty; 2]\)
- Название промежутка: Числовой луч
Задание 2
Вторая строка таблицы содержит аналитическую модель \(x > 1\). Нам нужно заполнить геометрическую модель, обозначение промежутка и название промежутка.
- Геометрическая модель: На числовой прямой нужно изобразить открытый круг в точке 1 и заштриховать область справа от 1 до плюс бесконечности.
- Обозначение промежутка: \((1; +\infty)\)
- Название промежутка: Открытый луч
Задание 3
Третья строка таблицы содержит название промежутка: "Интервал от -5 до 0". Нам нужно заполнить геометрическую модель, аналитическую модель и обозначение промежутка.
- Геометрическая модель: На числовой прямой нужно изобразить открытые круги в точках -5 и 0, и заштриховать область между ними.
- Аналитическая модель: Это можно записать как \(-5 < x < 0\).
- Обозначение промежутка: \((-5; 0)\)
Вот заполненная таблица:
| Геометрическая модель do | Аналитическая модель | Обозначение промежутка | Название промежутка |
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Понял, нужно решить задание 4. В данном случае, это последняя строка таблицы.
Задание 4
Четвертая строка таблицы содержит геометрическую модель числового промежутка. На числовой прямой заштрихована область от -2 (включительно) до 3 (не включительно). Нам нужно заполнить аналитическую модель, обозначение промежутка и название промежутка.
- Геометрическая модель: На числовой прямой заштрихована область от -2 (включительно) до 3 (не включительно).
- Аналитическая модель: Это можно записать как \(-2 \le x < 3\).
- Обозначение промежутка: \([-2; 3)\)
- Название промежутка: Полуинтервал
Вот заполненная таблица:
| Геометрическая модель do | Аналитическая модель | Обозначение промежутка | Название промежутка |
| 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