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Intersectionofplanesurfacesandcurvedsolids4-3平面与曲面立体相交,Example例题,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,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.截交线是一条封闭的平面图形。,Isocelestriangle:Goingthroughtheapexpoint.等腰三角形P通过锥尖。,Parabola:Parallelwithoneelementline.抛物线P平行于一条轮廓素线；,Hyperbola:Parallelwiththeaxislines.双曲线P平行于轴线；,Ellipse:Inclinedcuttingplanewithrespecttotheaxis.椭圆P倾斜于轴线；,Circularity:Perpendicularcuttingplane.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,(1)Usingtheaccumulationmethod.积聚性法利用有积聚性的投影求截交线(适合圆柱);,3.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后面内容,Intersectionofplanesurfacesandcurvedsolids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；,4.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，按顺序连接各点的投影；,(4)Completetheprojection.根据立体和截交线的二投影求出第三投影；,(5)Eraseredundantlinesanddrawdeeply.擦去被截掉部分,加深图线。,请点击鼠标左键显示后面内容,
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