高等教育：机械设计第二十一章

1、电子解题辅导E-problem-solving tutorials附篇（Add. ） 1Al-1Al-14Al-27Al-40Al2Al-15Al-28Al-41Al-3Al-16Al-29Al-42Al-4Al-17Al-30Al-43Al-5Al-18Al-31Al-44Al-6Al-19Al-32Al-45Al-7Al-20Al-33Al-46Al-8Al-21Al-34Al-47Al-9Al-22Al-35Al-48Al-10Al-23Al-36Al-49Al-11Al-24Al-37Al-12Al-25Al-38Al-13Al-26Al-39返回RETURNtwo planes区A1

2、-2.过给定的点作一平面垂直于两已知平面。Construct a plane two givenA1-3.作一平面垂直于直线用过点啲两相交直线表示之（只用两面 投影作图）o Construct a plane that is perpendicular to line AB. Represent the plane with two intersecting lines through point C. Use only the two projections. 夕A1-4.完成矩形力处9的投影（只用两面投影作图）。Complete the projections of a rectangle

3、 ABCD. Use only the two projections.a区Al-5 三角形力风位于直线必的垂直平分面内，试完成其水平投A1-6.平面倔垂直于直线力S试完成其水平投影（用辅助投影法）。 Complete the horizontal projection of plane CDE which is perpendicular to line AB. Use the auxiliary projection method.A1-7.平面力园唾直于平面SEG试完成其水平投影。Plane ABD is perpendicular to plane ABC. Complete the

4、horizontai projection.Al-8.作一平面与已知平面的形状、大小相同且垂直于已知平面。所作平 面位于已知平面之下。直线力$是两平面的交线。Construct a plane that is equal in size, identical in shape, and perpendicular to the given plane the construeted plane lies below the given plane Line AB is the line of intersection bftween the two planes区A1-9.过三角形力购|勺三个

5、顶点画一个圆，并作岀该圆的所有投影。 Draw a circle through the three corners of triangle ABC and show the circle in all projections.Al-10过点创乍一直线平行于平面/风和平面必冗Through point 0, cons true t a line parallel to the planes ABC and DEF.Al-11.作一直线通过点0,平行于平面/EG且与直线眩相交。Draw a line that contains point 0, intersectsABC, andis para

6、llel to plane解题步骤区its base on解题步骤Al-13.完成等腰三角形的投影，使直线沁其两腰之一，并使其底边位 于直线 BD_ho Complete the projections of an isosceles triangle having line AB as one of its two equal sides and line BD.A1-14.个圆过力、去两点，其圆心在直线力上，试确定该圆心的位置区A1-15.在直线力$上，求出与两直线朝口朋等距的一点只On line AB find a poin t P equidis tent from lines CD

7、and EF.Al-16.find a解题步骤1在平面上求出一直线与直线必垂直相交。On plane ABCD line perpendicular to and intersectiqg line EF.A1-17.试过点0作一直线垂直于直线必并平行于平面力处（所作的直线与 直线交叉垂直）o Through point 0、pass a line perpendicular to line DE and parallel to plane ABC. （The cons true ted line区A1-18.作一正方形力啟，使顶点/在直线必上，顶点C在直线$6上。 Cons true t a

8、 square ABCD with its corner A on line C on line BG.EF and corner解题步骤A1-19.两平行直线/厮口CD间的真实距离为15mm。完成直线仞的正面投影。 The true distance between the two parallel lines AB and CD is 15A-20.用点投影法求两直线间的最短距离。将最短连接线返回到所有投影中 去。 Find the shortest distance between the two lines, using the point projection method Proj

9、ect the shortest connector back into all projections.A-21.求两直线间的最短距离，并在各投影中画出最短连接线Determineconnectorbet ween the line and the plane and3dschU2XchXsbs*A1-22.求直线与平面间夹角，并判定可见性。Determine the angle determine yisibility.a3*A1-23.求平面力处9与平面力翊可的夹角。Determine the anglea*A1-24.确定点与直线间的最陡连接线。Establish the steepe

10、st connector between the point and linebA1-25.求直线与圆柱的穿点，并定其可见性。Determine the piercing points and the visibility of line CD and the cylinder.区Al-27.求一般位置平面与圆柱的交线。（用辅助投影法。）Determine the intersection of the general-position plane and the cylinder Use the auxiliary projection methodA1-28.求直线期口斜圆锥的穿点，并定其

11、可见性。Determine the piercing points and the visibility of line CD and the oblique cone A1-31.求圆锥与回转体的交线。Determine the intersection of the cone and the surface of revolution.Al-32求水平圆柱、直立圆柱及圆锥的交线。Determine theintersection of the horizontal cylinder and the vertical cylinder and coneSP1A1-33.完成多形体相交的投影。

12、Complete the projections of the intersecting shapes6Al-34画一圈导程为48mni的左旋圆柱螺旋线，从左下方开始。Draw one turn of a lefthanded cylindrical helix with a lead of 48 mm. Start from the lower left side.0ir70，87/八ITn/7V于A34 丿6A1-35.完成柱状面的两面投影。母线的各个位置(素线)借助于分 每一圆导线为12等分来确定。Complete the two projections of the cylindroi

13、ds- Positions for the generatrix (element) areestablished by dividing each circular directory into 12 equalpar ts.导平而 PLANE DIRECTOR1096r:4凶 Al-36.作右旋斜螺旋面的两面投影。导程为54mm,母线角为45度。从给定 爭长投粤的素线处出发画完整的一圈，并在侧面投影中作出给定平面与该螺 旋面的交线。Draw two projections of a right-handed oblique121098761iJnInhelicoids The lead i

14、s 54 mm, with a 45degree generatrix angle raw one complete turn starting from the given true length element. Show the intersection of the given plane and the helicoids in the profile projection.区A1-37.过点弭作一平面与斜圆柱相切。Draw a plane through point A and tangent to the oblique cylinderDraw a planeShow twoN

15、A1-38.过点/作一平面与斜圆锥相切。作出两可能解。 through point A and tangent to the oblique cone.Al-39过圆球表面上的点/作一平面与该圆球相切。Draw tangent to the sphere and containing point A on itsba plane surface区A1-40.过圆环表面上的点力作一平面与该圆环相切。Draw a plane tangent to the tours and containing point A on its surface.determineA1-41.用旋转法求三脚架每条腿的实

16、长。Using rotation, the true length of each of the tripod legs.A1-42.用旋转法求直线的实长及其与水平面间的夹角。作辅投影进行验 证，可使用基准面。Using rotation, determine the true length of the line and the angle the line makes with the horizontai plane Verify by projecting an auxiliary. Reference planes may be usedA1-43.用旋转法求直线的实长及其与正面间的

17、夹角。作辅投影进行验证， 可使用基准面。Using rotati on, det ermine the t rue leng th of the line and the angle the line makes with the frontal plane Verify by projecting an auxiliary. Reference planes may be usedA1-44.用旋转法求直线与侧面间的夹角。Using rotation, determine the区A1-45.用旋转法完成直线的水平投影，该直线长60 mm. Using rotation, complete

18、the horizontal projection of the line that has a length of 60 mm.A1-46.用旋转法完成直线的水平投影，设直线与正面间夹角0为30。By rotation, complete the horizontal projection of the line if the true angle 0 between the line and the frontai plane is 30 backward.Al-47过点A作一50mm长的直线AB (or =30 ,0二45。)。所作直线往后下方 向倾斜。Cons true t a 50

19、mm line AB t hrough poi nt A(er =30 ,0 =45 )The construeted line slants downward and*A1-48.用二次旋转法求平面的实形及平面与水平投影面间的夹角。Using double rotation, determine the true shape of the plane and the true angle between the plane and the horizontal projection plane 区*A1-49用二次旋转法求平面力风与平面力加间的夹角。Using double rotation, determine the true angle between planes ABC and A