《平面立体的投影》PPT课件
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3
Prism 棱柱
1. Projection of a prism
Triangular prism Square prism
棱柱的投影
Pentagonal prism Hexagonal prism
Class by the bases of prisms 根据棱柱底面形状可分为: 三棱柱 四棱柱 五棱柱 六棱柱 ……
ห้องสมุดไป่ตู้
Draw steps画图步骤：
1.Draw symmetry lines and the base of the pyramid. 先画锥底面形状的投影; 2.Add the vertex of the pyramid. 再画锥顶点的投影; 3.Complete three views after adding lines for the side faces. 最后画各棱线的投影。
Draw steps Draw centerlines and datum lines. 画图步骤： 先画中心线和基准线; Add lines for the upper and lower (end) faces. 再画反映顶部或底部(端面)形状的视图; Complete three views. 按三等规律画全三视图。
The projection of point is also visible when it on visible edge or plane.
Distinguish 判别:
凡在可见表面及棱线上的点 ,其投影为可见； K
All invisible points are written in brackets.
Prisms 棱柱
Pyramids 棱锥
Intersection lines of edge planes are called edge lines. Intersection lines of edge planes and bases are called base edge lines. When drawing projections of polyhedral solids, we are actually drawing the projections of all edge lines and base edge lines followed by a visibility test of the projected edge lines and base edge lines. 各棱面的交线称为棱线,棱面与底面的交线称为底边,画平面立 体的投影图,实质是画出所有棱线和底边的投影,并判别其可见性。
4
棱柱表面上的点可利用棱线或棱面的积聚性投影求之。
The projection of point is also visible when it is on visible edge or plane.
Identification 凡在可见表面及棱线上的点,其投影为可见; 判别: The projection of point is not visible when it is on invisible edge or plane. 凡在不可见表面及棱线上的点,其投影则为不可见。请 点 All invisible points are written in brackets. Labeling 击 鼠 标注: 对不可见的点加括号以示区别。 标 Example1. Draw the triangular prism and get points on the surface. 画三棱柱及表面上各点的三视图。 Example2. Draw the square prism and get points on the surface. 画四棱柱及表面上各点的三视图。 Example3. Draw the pentagonal prism and get points on the surface. 画五棱柱及表面上各点的三视图。
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Pyramid
棱锥
6
2.Getting points on the surface of a pyramid 棱锥表面取点
Method Draw an auxiliary line or plane going through the point on the pyramid. 方法: 在棱面上过锥顶作一条包含该点的辅助线或辅助平面。
左 键 显 示 后 面 内 容
Pyramid
1. Projection of pyramid
Triangular pyramid Square pyramid
棱锥
Hexagonal pyramid
5
棱锥的投影
Pentagonal pyramid
Class by the bases of a pyramid 根据棱锥底面形状可分为: 三棱锥 四棱锥 五棱锥 六棱锥 ……
Projection of Polyhedral Solids
平面立体的投影
Summary of Polyhedral Solids
平面立体概述
Prism
棱柱
Pyramid
棱锥
Exercise
练习题
请点击相应标题显示其内容
2
Summary of Polyhedral Solids 平面立体概述
Polyhedral solids: The solids that are surrounded by planes are called polyhedral solids. 平面立体: 完全由平面围成的立体称为平面立体。 Polyhedral solids 平面立体
五棱柱的投影演示
请点击鼠标左键显示后面内容
Prism 棱柱
2.Getting points on the surface of a prism 棱柱表面上取点
Method 方法:
Getting points on surfaces of a prism can be based on the accumulation characteristics of edge lines or plane projection.
3
Prism 棱柱
1. Projection of a prism
Triangular prism Square prism
棱柱的投影
Pentagonal prism Hexagonal prism
Class by the bases of prisms 根据棱柱底面形状可分为: 三棱柱 四棱柱 五棱柱 六棱柱 ……
ห้องสมุดไป่ตู้
Draw steps画图步骤：
1.Draw symmetry lines and the base of the pyramid. 先画锥底面形状的投影; 2.Add the vertex of the pyramid. 再画锥顶点的投影; 3.Complete three views after adding lines for the side faces. 最后画各棱线的投影。
Draw steps Draw centerlines and datum lines. 画图步骤： 先画中心线和基准线; Add lines for the upper and lower (end) faces. 再画反映顶部或底部(端面)形状的视图; Complete three views. 按三等规律画全三视图。
The projection of point is also visible when it on visible edge or plane.
Distinguish 判别:
凡在可见表面及棱线上的点 ,其投影为可见； K
All invisible points are written in brackets.
Prisms 棱柱
Pyramids 棱锥
Intersection lines of edge planes are called edge lines. Intersection lines of edge planes and bases are called base edge lines. When drawing projections of polyhedral solids, we are actually drawing the projections of all edge lines and base edge lines followed by a visibility test of the projected edge lines and base edge lines. 各棱面的交线称为棱线,棱面与底面的交线称为底边,画平面立 体的投影图,实质是画出所有棱线和底边的投影,并判别其可见性。
4
棱柱表面上的点可利用棱线或棱面的积聚性投影求之。
The projection of point is also visible when it is on visible edge or plane.
Identification 凡在可见表面及棱线上的点,其投影为可见; 判别: The projection of point is not visible when it is on invisible edge or plane. 凡在不可见表面及棱线上的点,其投影则为不可见。请 点 All invisible points are written in brackets. Labeling 击 鼠 标注: 对不可见的点加括号以示区别。 标 Example1. Draw the triangular prism and get points on the surface. 画三棱柱及表面上各点的三视图。 Example2. Draw the square prism and get points on the surface. 画四棱柱及表面上各点的三视图。 Example3. Draw the pentagonal prism and get points on the surface. 画五棱柱及表面上各点的三视图。
请点击鼠标左键显示后面内容
Pyramid
棱锥
6
2.Getting points on the surface of a pyramid 棱锥表面取点
Method Draw an auxiliary line or plane going through the point on the pyramid. 方法: 在棱面上过锥顶作一条包含该点的辅助线或辅助平面。
左 键 显 示 后 面 内 容
Pyramid
1. Projection of pyramid
Triangular pyramid Square pyramid
棱锥
Hexagonal pyramid
5
棱锥的投影
Pentagonal pyramid
Class by the bases of a pyramid 根据棱锥底面形状可分为: 三棱锥 四棱锥 五棱锥 六棱锥 ……
Projection of Polyhedral Solids
平面立体的投影
Summary of Polyhedral Solids
平面立体概述
Prism
棱柱
Pyramid
棱锥
Exercise
练习题
请点击相应标题显示其内容
2
Summary of Polyhedral Solids 平面立体概述
Polyhedral solids: The solids that are surrounded by planes are called polyhedral solids. 平面立体: 完全由平面围成的立体称为平面立体。 Polyhedral solids 平面立体
五棱柱的投影演示
请点击鼠标左键显示后面内容
Prism 棱柱
2.Getting points on the surface of a prism 棱柱表面上取点
Method 方法:
Getting points on surfaces of a prism can be based on the accumulation characteristics of edge lines or plane projection.