《立体上平面的投影》PPT课件.ppt

Projection of planes 平面的投影 Characteristics of plane projection 平面的投影特性 Exercises 练习题,Projection of Planes for a Solid 立体上平面的投影,请点击相应标题显示其内容,Projection of planes 平面的投影,Planes of a solid are formed by a number of lines. 立体上的平面是由若干条线围成的平面图形。,请点击鼠标左键显示后面内容,Example 1. Construct three projections of ABC. 求作平面ABC 的三面投影。,1.Parallel plane projection 投影面平行面,Definition 定 义,Characteristics 投影特性,请点击鼠标左键显示后面内容,Characteristics of plane projection 平面的投影特性,H-plane, horizontal (水平面) If it is parallel with the V-plane, it is called a frontal plane. (正平面) W-plane, profile (侧平面) 与某投影面垂直的平面称为该面的平行面。,The projection on its parallel projection plane shows the true shape. 在所平行的投影面上的投影反映实形。 Projections on both of the other two projection planes converge to a line. 在另外两个投影面上的投影均积聚为直线。,Horizontal plane 水平面,Frontal plane 正平面,Example 2 例 2,Characteristics of plane projection 平面的投影特性,2.Vertical plane projection 投影面垂直面,Definition 定 义,Characteristics 投影特性,请点击鼠标左键显示后面内容,H-plane, H-perpendicular (铅垂面) If it is vertical to the V-plane, it is called a V-perpendicular plane. (正垂面) W-plane, W-perpendicular (侧垂面) 与某投影面垂直的平面称为该面的垂直面。,The projection on its orthogonal plane converges to a line and shows the oblique angles between two other projection planes. 在所垂直的投影面上的投影积聚为直线,反映与另二投影面的倾角。 Projections on the other two projection planes are similar shapes. 在另外两个投影面上的投影均为类似形。,V-perpendicular plane 正垂面,H-perpendicular plane 铅垂面,Example 3 例 3,3.The general plane 一般位置平面,When the plane is oblique with the three projection planes, it is called a general plane. 与三投影面均倾斜的平面称为一般位置平面。,Its three projections are all similar shapes. 其三面投影均不反映实形，而为类似形。,The general plane 一般位置平面,Definition 定 义,Characteristics 投影特性,请点击鼠标左键显示后面内容,Characteristics of plane projection 平面的投影特性,1. Given positions of plane P, Q & R, label its projection in view and fill the vacancy. 已知立体上平面P、Q、R 的空间位置， 在投影图中标注其投影位置,并填空。,请点击题目显示其内容,Exercises 练习题,2. Given two projections of plane, draw the third view and fill the vacancy. 已知平面的两个投影,求作其第三投影, 并填空说明是什么平面。,本 章 结 束,谢谢您的认真学习！,退出,前一页,1. Given positions of plane P, Q & R, label its projection in view and fill i the vacancy. 已知立体上平面P、Q、R 的空间位置,在投影图中标注其投影位置,并填空。,Horizontal plane 水平面,H-perpendicular plane铅垂面,W-perpendicular plane侧垂面,请 点 击 解 答 显 示 其 内 容,r,r“,q“,p,p“,q,r,q,p,W-perpendicular 侧垂,H-perpendicular 铅垂,（,）,2. Given two projections of plane, draw the third view and fill the vacancy. 已知平面的两个投影,求作其第三投影,并填空说明是什么平面。,请点击解答显示其内容,Steps 作图步骤：,(1) According to distance from W, determine the position of other two projections. 根据距W 面距离确定另二投影的位置。,(2) According to characteristics of projections, draw other two projections of ABC. 根据投影规律, 求 ABC 的另二投影。,2. The profile plane ABC from W10 , draw other two projections. 已知侧平面ABC 距W 面10mm,求该ABC 的另二投影。,请点击鼠标左键显示后面内容,a,a,b,c,b(c),Steps 作图步骤：,3. The horizontal projection of the V-perpendicular plane ABC and =30 , =60, from H10mm, draw other two projections. 已知正垂面ABC的水平投影及=30 =60,且ABC距H面10mm,求另二投影。,(1) According to distance from H and 、 determine the position of V projectio