平面与曲面立体相交.ppt

Intersection of plane surfaces and curved solids 平面与曲面立体相交,Exercises 练习题,Characteristics of intersection lines 截交线的特性,请点击相应标题显示其内容,The method of finding intersections 求截交线的方法,Procedure of drawing intersections 求截交线的步骤,1. Characteristics of intersection lines 截交线的特性,请点击鼠标左键显示后面内容,Intersection of plane surfaces and curved solids 平面与曲面立体相交,Every point on the segments of an intersection line is common segments to both the intersecting plane and surfaces of the solid. 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。,(3)Rectangle: Parallel cutting plane with respect to the axis. 矩形 截平面P平行于轴线。,(2)Ellipse: Inclined cutting plane with respect to the axis. 椭圆 截平面P倾斜于轴线；,(1)Circularity: Perpendicular cutting plane with respect to the axis. 圆形 截平面P垂直于轴线；,1)Analyze right cylinder intersection 圆柱体截交线分析,请 点 击 鼠 标 左 键 显 示 后 面 内 容,Isoceles triangle:Going through the apex point. 等腰三角形 P通过锥尖。,Parabola: Parallel with one element line. 抛物线 P平行于一条轮廓素线；,Hyperbola:Parallel with the axis lines. 双曲线 P平行于轴线；,Ellipse: Inclined cutting plane with respect to the axis. 椭圆 P倾斜于轴线；,Circularity: Perpendicular cutting plane. 圆形 P垂直于轴线；,2)Analyze cone intersection 圆锥体截交线分析,Intersection 截交线形状,请点击鼠标左键显示后面内容, Ellipse: Inclined cutting plane with respect to the axis. 椭圆 P 倾斜于轴线。, Circularity: Perpendicular cutting plane. 圆 P 平行或垂直于轴线。,Intersection ： 截交线形状,3)Analyze sphere intersection 圆球体截交线分析,请点击鼠标左键显示后面内容,(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.The method of finding intersections. 求截交线的方法,请点击鼠标左键显示后面内容,Intersection of plane surfaces and curved solids 平面与曲面立体相交,(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);,(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)。,请 点 击 鼠 标 左 键 显 示 后 面 内 容,Example1. Draw V，H views of the cutting right cylinder. 求圆柱体被截切后的H、W面投影。,Example2. Draw V，H views of the cutting right cylinder. 求圆柱筒被截切后的H 、W面投影。,Example3. Draw V，H views of the cutting cone. 求圆锥体被截切后的H、W面投影。,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。,Intersection of plane surfaces and curved solids 平面与曲面立体相交,(1) Analyze. 根据立体与截平面的位置分析截交线的形状；,3.Procedure of drawing intersections 求截交线一般步骤,(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；,(4) Complete the projection. 根据立体和截交线的二投影求出第三投影；,(5) Erase redundant lines and draw deeply. 擦去被截掉部分,加深图线。,2. Draw V, H views of the cutting cone. 求圆锥被截切后的V、H 投影。,Exercises 练习题,请点击题目显示其内容,1. Which one is correctly drawn of the left view 指出哪个左视图是正确的。,本 小 节 结 束,谢谢您的认真学习！,退出,前一页,Correct,Correct,Correct,Correct,请点击解答显示其内容,1. Which one is correctly drawn of the left view. 指出哪个左视图是正确的。,请点击解答显示其内容,2. Draw V, H views of the cutting cone. 求圆锥被截切后的V、H 面投影。,(2) Analyze. 分析各截交线形状:,1. Draw V, H views of the cutting right cylinder. 求圆柱体被截切后的H、W面投影。,(1) Draw uncut of V, H. 先求出圆柱未截切时的V、H投影。,(3) Draw special points. 利用圆柱积聚性投影,求截交线上特殊位置点的投影。,(4) Draw all views of points. 求各截交线上特殊位置点的第三投影。,(5) Complete the projection. 判别可见性后,根据截交线的形状,依次连接各点的投影。,倾斜于轴线切椭圆,/ 于轴线切 矩形, 于轴线切 圆,(6) Erase redundant lines and draw deeply. 擦去被截切部分,加深图线。,Steps 作图步骤：,请点击鼠标左键显示后面内容,2(3 ),9“(7“) (6“)8“,4(5),8(9),6(7),10,1,3“ 2“,(5“) (4“),1“,10“,(1) Draw uncut of V, H. 先求出未截切时的V、H投影。,(2) Analyze. 分析截交线形状：,/于轴线切矩形, 于轴线切 圆,(3) Draw special points. 利用圆柱的积聚性投影,求截交线上特殊位置点的投影。,(4) Draw all views of points. 根据各截交线上特殊位置点的二投影求其第三投影。,(5) Complete the projection. 根据截交线的形状判别其可见性后依次连接各点的投影。,(6) Erase redundant lines and draw deeply. 擦去被截切的投影,判别其可见性后,按虚实加深图线。,Steps 作图步骤：,2. Draw V, H views of the cutting right cylinder. 求圆柱筒被截切后的H、W面投影。,注意多线,注意多线,对称截切可对称找点,请点击鼠标左键显示后面内容,1(2 3 4),8“ (7“) (6“) 5“,5(6 7 8),4“ 3“ 2“ 1“,(2) Analyze分析截交线形状,3. Draw V, H views of the cutting cone. 求截切圆锥体的H、W 面投影。,(1) Draw uncut of V, H. 画出未截切时的V、H投影。,(3) Draw special points. 利用素线法及辅助纬圆法求各截交线上的特殊位置及一般位置点的投影。,(4) Draw all views of points. 求截交线上各点第三投影。,(5) Complete the projection 判别可见性后根据各截交线的形状连接各点的投影。,(6) Erase redundant lines and draw deeply. 擦去被截切部分,按虚实加深图线。,于轴线切圆,过锥尖切三角形,倾斜于轴线切椭圆,Steps 作图步骤：,请点击鼠标左键显示后面内容,7“ 6“,1 2(3),4(5),6(7),8(9),10,(3“) 1“(2“),4. Draw V, H views of the cutting half sphere. 求截切半圆球体的H、W面投影。,1.Draw uncut of V, H. 画出未切时的V、H投影。,2.Analyze. 分析截交线形状:,/或于轴线切圆,3. Using the circle method draw the intersection. 利用辅助纬圆法求于轴线(V面)切的截交线投影。,4. Using the circle method draw the intersection. 利用辅助纬圆法求/于轴线(V面)切的截交线投影。,(5) Erase redundant lines and draw deeply. 擦去被截切部分,按虚实加深轮廓线的投影。,Steps 作图步骤：,请点击鼠标左键显示后面内容,在图片上点击鼠标左键可以“暂停”或再次“播放”,在图片上点击鼠标左键可以“暂停”或再次“播放”,在图片上点击鼠标左键可以“暂停”或再次“播放”,在图片上点击鼠标左键可以“暂停”或再次“播放”,在图片上点击鼠标左键可以“暂停”或再次“播放”,在图片上点击鼠标左键可以“暂停”或再次“播放”,在图片上点击鼠标左键可以“暂停”或再次“播放”,在图片上点击鼠标左键可以“暂停”或再次“播放”,在图片上点击鼠标左键可以“暂停”或再次“播放”,P平行于H面轮廓线,P平行于W面轮廓线,在图片上点击鼠标左键可以“暂停”或再