Начертательная геометрия. Взаимное положение прямыхА.Л.Бочков
Презентация лекции из Электронного учебно-методического комплекса "Начертательная геометрия", авторы Л.А. Голдобина, А.Л. Бочков.
Свидет. о гос. рег. № 17165 от 07.06.2011
Начертательная геометрия. Взаимное положение прямыхА.Л.Бочков
Презентация лекции из Электронного учебно-методического комплекса "Начертательная геометрия", авторы Л.А. Голдобина, А.Л. Бочков.
Свидет. о гос. рег. № 17165 от 07.06.2011
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Menampilkan data pada Database MySQL di JSP(Java Server Page)fahmi azain
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This document contains math word problems involving fractions and operations between fractions such as addition, subtraction, multiplication, and division. It asks the reader to represent fractions in improper form, find errors in worked problems, and calculate fractions.
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4. С точки зрения геометрии, можно представить
разрезание многогранника, как пересечение его
плоскостью.
Линии, по которым эта плоскость пересечет грани,
будут сторонами многоугольника, который получится в
сечении.
5.
6. Особенность 1.
!
Все стороны многоугольника-сечения лежат в
плоскостях граней многогранника.
Никакая из сторон сечения не может проходить
внутри многогранника
Отрезок АС проходит внутри многогранника, поэтому
треугольник АВС (четырехугольник АСВМ) не является его
сечением.
7. Проведение стороны сечения
внутри многогранника
равносильно отламыванию не
до конца отрезанного от
буханки куска хлеба:
мы начали резать, но нож
застрял в буханке.
8. Особенность 2. (Следует из аксиомы о пересечение
двух плоскостей)
Каждую грань многогранника сечение может пересекать
не более, чем по одной прямой.
или
Ни одну из граней многогранника сечение не может
пересекать по двум (трем и т.д.) прямым.
АВСМК не является сечением
параллелепипеда, т.к. две его стороны,
АВ и ВС, лежат на передней грани,
а, как известно, все общие точки двух
плоскостей лежат на единственной
прямой – прямой их пересечения.
9. АВСМК не является сечением
октаэдра, т.к. две его стороны
ВС и МК лежат на одной его
грани.
!
Каждая грань многогранника содержит не более
одной стороны сечения.
10. Особенность 3. (Следует из свойства параллельных
плоскостей.)
Если секущая плоскость пересекает параллельные грани
многогранника, то линии пересечения будут параллельны.
Например:
11. Итак:
!
1. Никакая из сторон сечения
не может проходить внутри
многогранника
!
3. Если секущая плоскость
пересекает параллельные
грани многогранника, то
линии пересечения будут
параллельны.
!
2. Каждая грань многогранника
содержит не более одной
стороны сечения.
12. Задание 1.
Укажите, какие сечения изображены неверно (перечислите
все ошибки) и объясните почему.
1
2
3