平面与曲面立体相交

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1、Intersectionofplanesurfacesandcurvedsolids平面与曲面立体相交Exercises练习题Characteristicsofintersectionlines截交线的特性请点击相应标题显示其内容Themethodoffindingintersections求截交线的方法Procedureofdrawingintersections求截交线的步骤1.Characteristicsofintersectionlines截交线的特性Cuttingplane截平面Intersecti

2、online截交线请点击鼠标左键显示后面内容Intersectionofplanesurfacesandcurvedsolids平面与曲面立体相交Everypointonthesegmentsofanintersectionlineiscommonsegmentstoboththeintersectingplaneandsurfacesofthesolid.截交线是截平面与立体表面的共有点的连线;Segmentsoftheintersectionlinealsoformaclosedplanearea.截交线是

3、一条封闭的平面图形。(3)Rectangle:Parallelcuttingplanewithrespecttotheaxis.矩形截平面P平行于轴线。(2)Ellipse:Inclinedcuttingplanewithrespecttotheaxis.椭圆截平面P倾斜于轴线；(1)Circularity:Perpendicularcuttingplanewithrespecttotheaxis.圆形截平面P垂直于轴线；1)Analyzerightcylinderintersection圆柱体截交线分析请点击

4、鼠标左键显示后面内容⑤Isocelestriangle:Goingthroughtheapexpoint.等腰三角形P通过锥尖。④Parabola:Parallelwithoneelementline.抛物线P平行于一条轮廓素线；③Hyperbola:Parallelwiththeaxislines.双曲线P平行于轴线；②Ellipse:Inclinedcuttingplanewithrespecttotheaxis.椭圆P倾斜于轴线；①Circularity:Perpendicularcuttingplane

5、.圆形P垂直于轴线；2)Analyzeconeintersection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②Ellipse:Inclinedcuttingplanewithrespecttotheaxis.椭圆P倾斜于轴线。①Circularity:Perpendicularcuttingplane.圆P平行或垂直于轴线。Intersection：截交线形状3)Analyzesphereintersection圆球体截交线分析请点击鼠标左键显示后面内容(1)Usingth

6、eaccumulationmethod.积聚性法利用有积聚性的投影求截交线(适合圆柱);2.Themethodoffindingintersections.求截交线的方法请点击鼠标左键显示后面内容Intersectionofplanesurfacesandcurvedsolids平面与曲面立体相交(2)Usingtheelementmethod.辅助素线法利用立体表面的素线求截交线(适合圆锥);(3)Usingthecirclemethod.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

7、后面内容Example1.DrawV，Hviewsofthecuttingrightcylinder.求圆柱体被截切后的H、W面投影。Example2.DrawV，Hviewsofthecuttingrightcylinder.求圆柱筒被截切后的H、W面投影。Example3.DrawV，Hviewsofthecuttingcone.求圆锥体被截切后的H、W面投影。Example4.DrawV，Hviewsofthecuttinghalfsphere。求半圆球体被截切后的H、W面投影。Intersectiono

8、fplanesurfacesandcurvedsolids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.Procedureofdrawingintersections求截交线一般步骤(2)Drawspecialpoints.求截交线上特殊位置各点（顶、拐点）的投影；(3)Distinguishitsvisibility.判别可见性后，按顺序连接各点