立體表面的截交線Intersectionlinesofth

立體表面的截交線Intersectionlinesofthree-dimensionalsurfaces主講人：李帥教學目標Teachingobjectives1.了解截交線的形成原理及相關性質(zhì)2.熟悉立體截交線的形狀特征3.掌握表面取點法繪制截交線的過程UnderstandtheformationprincipleandrelatedpropertiesofintersectionlinesFamiliarwiththeshapefeaturesofthree-dimensionalintersectionsMastertheprocessofdrawingintersectionlinesusingsurfacepointextractionmethod123目錄CONTENTS認識截交線平面立體的截交線曲面立體的截交線UnderstandtheintersectionlineIntersectionlineofaplanarsolidIntersectionlinesofcurvedsolids4課程總結CourseSummary5思考題Reflectionquestions1認識截交線UnderstandingIntersectionLinesONE平面與立體相交時表面產(chǎn)生的交線Theintersectionlinegeneratedbythesurfacewhenaplaneintersectsasolid截交線section截平面Cross-sectionalplane截斷面Crosssection截斷體Truncatedbody共有線Cowired封閉平面圖形Enclosedplanarfigure封閉平面圖形Enclosedplanarfigure共有線Cowired形狀shape相對位置relative

position2平面立體的截交線IntersectionlineofaplanarsolidTWO三角形triangle六邊形hexagon五邊形pentagon四邊形quadrilateral平面立體截交線的形狀Theshapeoftheintersectionlineofaplanarsolid取決于dependon載平面與立體相交的棱線數(shù)Thenumberofedgesintersectingaplaneandasolid3回轉(zhuǎn)體截交線的特點CharacteristicsoftheIntersectionLineofaRotatingBodyTHREE平行parallel矩形rectangle垂直vertical圓round橢圖Ellipsoid傾斜incline表面取點法Surfacesamplingmethod1確定截交線的范圍Determinetherangeoftheintersectionline找特殊點Findspecialpoints截交線畫圖步驟sectionDrawingsteps表面取點法Surfacesamplingmethod12確定截交線的范圍Determinetherangeoftheintersectionline找特殊點Findspecialpoints截交線畫圖步驟sectionDrawingsteps確定截交線的彎曲趨勢Determinethebendingtrendoftheintersectionline補充中間點Supplementarymidpoint表面取點法Surfacesamplingmethod123確定截交線的范圍Determinetherangeoftheintersectionline找特殊點Findspecialpoints截交線畫圖步驟sectionDrawingsteps確定截交線的彎曲趨勢Determinethebendingtrendoftheintersectionline補充中間點Supplementarymidpoint判別截交線的可見性分析輪廊并完善其投影Distinguishingthevisibilityofintersectionlines,analyzingthecontourandimprovingitsprojection光滑連接smoothconnection4課程總結CourseSummaryFOUR截交線section平面立體截交線Planesolidintersectionline回轉(zhuǎn)體截交線Intersectionlineofrotatingbody三棱錐triangularpyramid圓柱體cylinder5思考題ReflectionquestionsFIVE12請思考如下問題Pleasethinkthefollowingquestions回轉(zhuǎn)體表面截交線的特殊點有哪些?分析圓錐體的截交線具有哪些特點?Whatarethespecialpointsoftheintersectionline