曲面体的投影特点 Projection Character

曲面体的投影特点ProjectionCharacteristicsofaCurvedSurfaceSolid主讲：彭黎珂Lecturer:PengLike曲面体的投影特点ProjectionCharacteristicsofaCurvedSurfaceSolid曲面体的投影特点ProjectionCharacteristicsofaCurvedSurfaceSolid曲面体的形成通常是以一条直线或曲线作为母线，绕一条轴线形成回转面，最终回转面与平面组合而成一个立体，又可称之为回转体。Acurvedsurfacesolid

isusuallyformedbytakingastraightlineorcurveasthegeneratrix,formingasurfaceofrevolutionaroundanaxis,andfinallycombiningthesurfaceofrevolutionwiththeplanetoformasolid,whichcanalsobecalledasolidofrevolution.曲面体的形成Formationofacurvedsurfacesolid曲面体的投影特点ProjectionCharacteristicsofaCurvedSurfaceSolid曲面体的投影特点ProjectionCharacteristicsofaCurvedSurfaceSolid圆柱体

Cylinder曲面体的投影特点ProjectionCharacteristicsofaCurvedSurfaceSolid圆柱体

Cylinder曲面体的投影特点ProjectionCharacteristicsofaCurvedSurfaceSolid圆柱体的投影Projectionofacylinder曲面体的投影特点ProjectionCharacteristicsofaCurvedSurfaceSolid圆锥体

Cone曲面体的投影特点ProjectionCharacteristicsofaCurvedSurfaceSolid圆锥体的投影Projectionofacone圆台

Frustumofacone曲面体的投影特点ProjectionCharacteristicsofaCurvedSurfaceSolidConicalsurfaceGeneratrixProfilelineBottomsurface曲面体的投影特点ProjectionCharacteristicsofaCurvedSurfaceSolid圆台Frustumofacone曲面体的投影特点ProjectionCharacteristicsofaCurvedSurfaceSolid圆台Frustumofacone圆台的投影

Projectionofthefrustumofacone曲面体的投影特点ProjectionCharacteristicsofaCurvedSurfaceSolid球体

SphereAxisProfilelineGeneratrix曲面体的投影特点ProjectionCharacteristicsofaCurvedSurfaceSolid球体的投影

Projectionofasphere曲面立体的绘图步骤Drawingstepsofacurvedsurfacesolid已知圆柱体的上下底面均为圆形，直径为f，高为H，作圆柱体投影图。Giventhattheupperandlowerbottomsurfacesofthecylinderarecircles,withadiameteroffandaheightofH,drawtheprojectiondiagramofthecylinder.圆柱体Cylinderf圆柱投影图的画法

Drawingmethodofprojection

diagramofthecylinderXZYWYH曲面立体的绘图步骤Drawingstepsofacurvedsurfacesolid已知圆锥体底面为圆形，直径为f，高为H，作圆锥体投影图。Giventhatthebottomoftheconeisacircle,withadiameterfandaheightH,drawaprojectiondiagramofthecone.圆锥体ConefZXYWYH圆锥投影图的画法Drawingmethodofprojectiondiagramofacone曲面立体的绘图步骤Drawingstepsofacurvedsurfacesolid已知圆台的上下底面为两个相似圆形，上底面直径为f1，下底面直径为f2，高为H，作圆台投影图。Itisknownthattheupperandlowerbottomsurfacesofthefrustumofaconearetwosimilarcircles,withthediameteroftheupperbottomsurfacebeingf1,thediameterofthelowerbottomsurfacebeingf2,andtheheightbeingH,drawaprojectiondiagramofthefrustumofacone.圆台Frustumofaconef1f2XZYWYH圆台投影图的画法Drawingmethodofprojectiondiagramofthefrustumofacone曲面立体的绘图步骤Drawingstepsofacurvedsurfacesolid已知球体的直径为f，作球体投影图。Giventhatthediameterofthesphereisf,drawasphereprojectiondiagram.球体SpherefffXZYWYH球体投影图的画法Drawingmethodofsphereprojectiondiagram重点内容KeyContents圆柱体的三个投影图分别是一个圆和两个全等的矩形，且矩形的长度等于圆的直径。Thethreeprojectiondiagramsofthecylinderareacircleandtwocongruentrectanglesrespectively,andthelengthoftherectangleisequaltothediameterofthecircle.圆锥体的三个投影图分别是一个圆和两个全等的等腰三角形，且三角形的底边长等于圆的直径。Thethreeprojectiondiagramsoftheconeisacircleandtwocongruentisoscelestrianglesrespectively,andthebaselengthofthetriangleisequaltothediameterofthecircle.圆台的三个投影图分别是两个相似圆形和两个梯形，且梯形的下底边长等于圆的直径。Thethreeprojectiondiagramsofthefrustumofaconearetwosimilarcirclesandtwotrapezoidsrespectively,andthelengthofthelowerbottomofthetrapezoidisequaltothediameterofthecircle.球体的三个投影都是圆，如果满足这样的要求或者已知一个投影是圆且所注直径前加注字母“S”则为球体的投影。Thethreeprojectionsofthesphereareallcircles.Ifsuchrequirementsaremetoroneprojectionisknownto