平面与曲面立体相交PPT演示文稿

Perpendicular cutting plane.
P 平行或垂直于轴线。
截交线形状 ② Ellipse: Inclined cutting plane with respect to the axis.
椭圆 P 倾斜于轴线。
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Intersection of plane surfaces and curved solids
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平面与曲面立体相交
2.The method of finding intersections. 求截交线的方法
(1)Using the accumulation method. 积聚性法
利用有积聚性的投影求截交线(适合圆柱);
(2)Using the element method. 辅助素线法
利用立体表面的素线求截交线(适合圆锥);
(1) Analyze. 根据立体与截平面的位置分析截交线的形状；
(2) Draw special points. 求截交线上特殊位置各点（顶、拐点）的投影；
(3) Distinguish its visibility. 判别可见性后，按顺序连接各点的投影； 请
(4) Complete the projection. 根据立体和截交线的二投影求出第三投影； 点
(3)Using the circle method. 辅助纬圆法
利用所作的辅助纬圆求截交线(适合锥、球)。
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Intersection of plane surfaces and curved solids
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平面与曲面立体相交
3.Procedure of drawing intersections 求截交线一般步骤
圆形
P垂直于轴线；
②Ellipse: Inclined cutting plane with respect to the axis.
椭圆
P倾斜于轴线；
Intersection ③Hyperbola:Parallel with the axis lines.
截交线形状
双曲线
P平行于轴线；
④Parabola: Parallel with one element line.
截交线是截平面与立体表面的共有点的连线;
Segments of the intersection line also form a closed plane area.
截交线是一条封闭的平面图形。
Cutting plane 截平面
Intersection line 截交线
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请 点
椭圆
截平面P倾斜于轴线；
击
(3)Rectangle: Parallel cutting plane with respect to the axis.
鼠 标
矩形
截平面P平行于轴线。
左
键
显
示
后
面
内
容
矩形线框
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2)Analyze cone intersection 圆锥体截交线分析
①Circularity: Perpendicular cutting plane.
(5)
Erase
redundant
lines
and
draw
deeply.
擦去被截掉部分,加深图线。
击 鼠
Example1. Draw V，H views of the cutting right cylinder. 求圆柱体被截切后的H、W面投影。
标 左 键
Example2. Draw V，H views of the cutting right cylinder.
求截交线的步骤
Exercises
练习题
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Intersection of plane surfaces and curved solids
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平面与曲面立体相交
1. Characteristics of intersection lines 截交线的特性
Every point on the segments of an intersection line is common segments to both the intersecting plane and surfaces of the solid.
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Exercises 练习题
1. Which one is correctly drawn of the left view 指出哪个左视图是正确的。
2. Draw V, H views of the cutting cone.
求圆锥被截切后的V、H 投影。
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本小节结束
谢谢您的认真学习！
Intersection of plane surfaces and curved solids
平面与曲面立体相交
Characteristics of intersection lines
截交线的特性
The method of finding intersections
求截交线的Fra Baidu bibliotek法
Procedure of drawing intersections
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1)Analyze right cylinder intersection 圆柱体截交线分析
(1)Circularity: Perpendicular cutting plane with respect to the axis.
圆形
截平面P垂直于轴线；
(2)Ellipse: Inclined cutting plane with respect to the axis.
显
求圆柱筒被截切后的H 、W面投影。
示
后
Example3. Draw V，H views of the cutting cone.
面
求圆锥体被截切后的H、W面投影。
内 容
Example4. Draw V，H views of the cutting half sphere。
求半圆球体被截切后的H、W面投影。
抛物线
P平行于一条轮廓素线；
⑤Isoceles triangle:Going through the apex point.
等腰三角形 P通过锥尖。
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3)Analyze sphere intersection 圆球体截交线分析
Intersection ： ①
Circularity: 圆