2086
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5.8. Нахождение точек на поверхностях (рис. 5.11, рис. 5.12)
S2
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S1
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Рис. 5.11 |
Рис. 5.12 |
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5.9. Названия элементов поверхностей (рис. 5.13, рис. 5.14)
Вершина |
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поверхность |
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Рис. 5.13 |
Рис. 5.14 |
31
Лекция 6
СЕЧЕНИЕ ПОВЕРХНОСТЕЙ ПЛОСКОСТЬЮ. ПОСТРОЕНИЕ РАЗВЕРТОК
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6.1. Сечение гранных поверхностей плоскостью. Развертка
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A1
Рис. 6.1
32
6.2. Сечение кривых поверхностей плоскостью
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Сечение прямого кругового конуса (конические сечения)
2 
2
Гипербола Треугольник
Эллипс |
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2
Окружность Парабола
2 |
Рис. 6.2
Окружность________________________________________________________
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Треугольник_____________________________________________
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Эллипс_________________________________________________
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Парабола_______________________________________________
_____________________________________________________
Гипербола_______________________________________________
_____________________________________________________
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Сечение цилиндра плоскостью(рис. 6.3) |
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12 =22 |
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C =D |
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Рис. 6.3 |
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32 =72 |
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x
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61 
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51 
21 
31
Рис. 6.4
34
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6.3. Сечение шара плоскостью (рис. 6.5) |
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Рис. 6.5
Нормальным сечением называется_____________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
6.4. Пересечение прямой линии с поверхностями
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______________________________________
______________________________________
______________________________________
______________________________________
Рис. 6.6
35
Лекция 7
ВЗАИМНОЕ ПЕРЕСЕЧЕНИЕ ПОВЕРХНОСТЕЙ
7.1. Способ секущих плоскостей-посредников
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Рис. 7.1
________________________________________________________________
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а)
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Рис. 7.3 |
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б)
Рис. 7.2
________________________________________
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________________________
7.2. Взаимное пересечение многогранника с поверхностью вращения. Способ секущих плоскостей
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36
7.3. Взаимное пересечение поверхностей вращения
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S1
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Рис. 7.4
7.4. Некоторые особые случаи взаимного пересечения поверхностей
Соосные поверхности вращения________________________________________
________________________________________________________________
________________________________________________________________
Теорема Монжа
Рис. 7.5
37
Лекция 8
ПРОЕКЦИОННОЕ ЧЕРЧЕНИЕ
8.1. Виды
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Рис. 8.1 |
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Рис. 8.2 |
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Изображения |
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Разрезы |
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Местные |
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Виды |
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Сечения |
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Простые |
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Сложные |
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Основные |
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Дополнительные |
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Местные |
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Вынесенные |
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Налож |
енные |
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Горизонтальные |
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Вертикальные |
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Ступенчатые |
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аправлению стрелки |
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линиейобрыва |
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Неограниченные линиейобрыва |
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Несимметричные |
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Наклонные |
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Ломаные |
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Спереди |
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Сверху |
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Слева |
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Справа |
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Снизу |
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Сзади |
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роекционнойсвязи |
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С поворотом |
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Ограниченные |
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Наосисечения |
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С обозначением линиисечения |
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В разрывевида |
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Симметричные |
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Фронтальные |
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Профильные |
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В п |
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Пон |
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Рис. 8.3
38
А 
А А
а) б)
Рис. 8.4
8.2. Разрезы
_____________________________________________________________________
_____________________________________________________________________
П2
Рис. 8.5
1-я секущая |
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2-я |
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3-я |
плоскость |
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Рис. 8.6
__________________________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
39
А-А
А
А
Рис. 8.7
8.3. Сечения
А
А-А
г)
в)
а)
А |
б) |
) |
|
д |
Рис. 8.8
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
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_____________________________________________________________________
_____________________________________________________________________
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_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
40