两立体相交课件.ppt

Characteristicsandviewsofintersectionline相贯线的性质与画法Stepsofdrawingintersectionline求相贯线的一般步骤Tendencyoftwoperpendicularcylindersintersectionline相交二圆柱相贯线变化趋势分析Exercises练习题,IntersectionofTwoSolids两立体相交,请点击相应标题显示其内容,Characteristicsandviewsofintersectionline相贯线的性质与画法,Whentwosolidscometogether,itproducesintersectionline.当两立体相交为一体时，其表面的交线称为相贯线。,1.CharacteristicsofIntersectionline相贯线的性质,Closedloop:Whentwosolidsmeet,theintersectionlineisaclosedspacelineusually.封闭性：当两立体相贯时,其相贯线一般是封闭的空间线框。,Commonality:Theintersectionlineisacommonlinewheretwosolidssurfacesmeet.共有性：相贯线是两相交立体表面的共有线，也是它们的分界线。,请点击鼠标左键显示后面内容,2.Themethodoffindingintersections求相贯线的方法,Bytakingselectedpointsonthesurfaces：根据在立体表面取点的方法求相贯线,（2）Usingtheassistantcuttingplanemethod.利用辅助截平面法求相贯线（适合锥体、球体）。,作辅助截平面截切二相贯体,求得即属于截平面又属于二相贯体上的点即为相贯线上的点,如此反复作截平面即可求得多个相贯线上的点的投影,将各点依次连接为封闭光滑折（曲）线即可。,请点击鼠标左键显示后面内容,CharacteristicsandViewsofintersectionline相贯线的性质与画法,（1）Usingtheaccumulationmethod.利用积聚性投影求相贯线（适合柱体）。,请点击鼠标左键显示后面内容,Stepsofdrawingintersectionline求相贯线的一般步骤,(1)Analyze.根据二相贯立体的形状及位置，分析相贯线的形状。,(2)Drawspecialpointsandgeneralpoints.求相贯线上特殊位置及一般位置点的投影。,(3)Distinguishitsvisibilityanddrawasmoothcurvethroughthepoints.判别可见性后,依次光滑连接各点。,(4)Eraseredundantlinesanddrawdeeply.擦去被相贯掉的轮廓线，加深图线。,Example3.DrawtheVviewoftwoperpendicularcylinders.求正交二圆柱相贯的V面投影。,Example4.DrawtheV,Wviewsoftheintersectionssolid.已知圆柱筒上穿长孔下穿圆孔俯视图,补全V、W投影。,Example5.DrawtheV,Hviewsoftheintersectionssolid.求圆柱与圆锥相贯的V、H面投影。,Example1.DrawtheV,Wviewsoftheintersectionsolid.已知四棱柱与四棱锥相贯的俯视图,补全V、W投影。,Example2.DrawtheV,Wviewsoftheintersectionssolid.已知四棱柱与圆柱相贯的俯视图,补全V、W面投影。,Tendencyoftwoperpendicularcylindersintersectionline相交二圆柱相贯线变化趋势分析,Tendencyoftwoperpendicularcylindersintersectionline正交二圆柱相贯线变化趋势分析,(1)Differdia.oftwocylinders：总是小圆柱穿过大圆柱,在大圆柱轮廓线二圆柱直径不等时上的相贯线为向其轴线方向弯曲的弧形。,(2)Equaldia.oftwocylinders：其相贯线的投影为过轴心的二相交线;二圆柱直径相等时若二圆柱半边相贯,则相贯线亦为一半。,请点击鼠标左键显示后面内容,孔有轮廓虚线,擦去原轮廓线,Tendencyoftwoperpendicularcylindersintersectionline正交二圆柱相贯线变化趋势分析,2.DrawtheV,Wviewsoftheintersectingbody.已知四棱柱与半球相贯的俯视图,补全V、W投影。,Exercises练习题,请点击题目显示其内容,1.Selectthecorrectleftview.根据主俯视图，找出正确的左视图。,本章结束,谢谢您的认真学习！,前一页,请点击解答显示其内容,1.Selectthecorrectleftview.根据主俯视图，找出正确的左视图。,56,4,1,2.DrawtheV,Wviewsoftheintersectingbody.已知四棱柱与半球相贯的俯视图,补全V、W投影。,12,1(2),43,3(4),5,5(6),请点击解答显示其内容,3,6,2,1.DrawtheV,Wviewsoftheintersectionsolid.已知四棱柱与四棱锥相贯的俯视图,补全V、W投影。,(1)Drawcontourlines.先画出二相贯体的第三投影轮廓线。,(2)Usingtheaccumulationmethod,drawspecialfeaturepoints.利用四棱柱的积聚性投影与四棱锥各棱线投影求相贯线上特殊位置各点的投影。,(3)Drawspecialfeaturepointsbycuttingplanemethod.利用辅助平面法求相贯线上特殊位置各点的投影。,(4)Completetheprojection.判别可见性后依次连接各共有点的投影,擦去相贯部分,加深其余轮廓。,请点击鼠标左键显示后面内容,Steps解题步骤：,3(4),5(6)7(8),1(2),6(8)5(7),2.DrawtheV,Wviewsoftheintersectionssolid.已知四棱柱与圆柱相贯的俯视图,补全V、W面投影。,(1)Drawcontourlines.先画出二相贯体的第三投影轮廓线。,(2)Usingtheaccumulationmethod,drawspecialpoints.利用圆柱积聚性圆投影求相贯线上特殊位置点的投影。,(3)Completetheprojection,eraseredundantlinesanddrawdeeply.判别可见性后按虚实依次连接各点的投影,并擦去被相贯掉的轮廓线,加深轮廓线。,Steps解题步骤：,易多线,请点击鼠标左键显示后面内容,1(2),5(6)3(4),4(6),3(5),3.DrawtheVviewoftwoperpendicularcylinders.求正交二圆柱相贯的V面投影。,(1)Drawcontourlines.先画出二相贯体的第三投影轮廓线。,(2)Usingtheaccumulationmethod,drawspecialpoints.利用圆柱的积聚性圆投影求相贯线上特殊位置各点的投影。,(3)Completetheprojection,eraseredundantlinesanddrawdeeply.判别可见性后,按虚实依次将各点的投影连接为光滑曲线,并擦去被相贯掉的轮廓线,加深其余轮廓线。,Steps解题步骤：,易多线,请点击鼠标左键显示后面内容,对称结构相贯线亦对称,易多线,3(4),1(2),4.DrawtheV,Wviewsoftheintersectionssolid.已知圆柱筒上穿长孔下穿圆孔俯视图,补全V、W投影。,(2)Usingtheaccumulationmethoddrawspecialpoints.利用圆柱的积聚性投影求与长方孔相贯线上各特殊位置点的投影。,(3)Completetheprojection.判别可见性后依次连接各点的投影,擦去被相贯掉的轮廓线。,(5)Completetheprojection.判别可见性后依次连接各点的投影,擦去被相贯掉的轮廓线,Steps解题步骤:,易多线,易多线,易多线,易多线,请点击鼠标左键显示后面内容,(1)Drawcontourlines.先画出圆柱筒未穿孔时的另二投影。,(4)Usingtheaccumulationmethoddrawspecialpoints.利用圆柱的积聚性投影求与圆孔相贯线上各特殊位置点的投影。,1,2,3(5),1,(2),(46),(79),(810),(11),12,5.DrawtheV,Hviewsoftheintersectionssolid.求圆柱与圆锥相贯的V、H面投影。,(1)Usingtheaccumulationmethoddrawspecialpoints.rawspecialfeaturepoints.利用圆柱的积聚性投影求相贯线上特殊位置点的投影。,(2)Drawgeneralpointsbycuttingplanemethod.利用辅助平面法,求相贯线上一般位置各点的投影。,(3)Completetheprojection,eraseredundantlinesanddrawdeeply.判别可见性后,按虚实依次将各点的投影连接为光滑曲线,并擦去被相贯掉的轮廓线,加深其余图线。,Steps解题步骤：,易漏线,请点击鼠标左键显示后面内容,易漏线,易多线,1,2,5(6),3(4),1,2,2019/12/14,17,可编辑,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