第三节 曲面立体的阴影.pps

单击此处编辑母版标题样式,单击此处编辑母版文本样式,第二级,第三级,第四级,第五级,*,第3,节 曲线及曲面立体的阴影,圆锥的阴影,形体在圆柱上的阴影,形体在圆锥上的阴影,回转体的阴影,圆柱的阴影,形体在曲线回转面上的落影,圆柱的阴影,二、正圆柱阴影的画法,三、圆柱阴面的单面作图法,四、垂直圆柱在,H,面上的落影,一、正圆柱阴影的形成,一、正圆柱阴影的形成,半圆阴线,阳面,素线阴线,阴面,素线阴线,光,平面,二、,正圆柱阴影的画法,o,o,a,b,o,1,c,d,c,1,a,1,ab,cd,三、,圆柱阴面的单面作图法,方法（,2,）,方法（,1,）,四、垂直圆柱在,H,面上的落影,oq,c,da,b,o,1,q,1,a,1,ab,cd,b,1,d,1,c,1,o,q,圆锥的阴影,二、,圆锥阴影的画法,三、,圆锥的阴线及其在,V、H,面上的落影,四、,倒立圆锥阴线的作法,五、,倒立圆锥阴影的作法,一、,圆锥阴影的形成,六、,锥面阴线的单面作图法,七、,圆锥阴线单面作图的证明,一、,圆锥阴影的形成,A,S,H,B,二、,圆锥阴影的画法,a,b,s,h,b,a,s,h,三、,圆锥的阴线及其在,V、H,面上的落影,s,v,a,s,h,b,x,a,x,b,a,b,四、,倒立圆锥阴线的作法,b,a,a,b,s,0,s,0,五、,倒立圆锥阴影的作法,a,0,b,0,o,0,o,b,a,a,b,s,1,s,1,s,s,o,六、,锥面阴线的单面作图法,2,1,(a),正锥,(b),倒锥,a,b,a,b,2,1,a,1,45,b,45,a,1,45,f,d,s,s,b,1,45,f,d,七、,圆锥阴线单面作图的证明,a,1,f,1,s,2,H,b,a,d,s,h,s,e,9-,10,形体在圆柱上的阴影,二、内凹半圆柱面的阴影,三、方帽柱头的阴影,四、方盖盘在内凹半圆柱面上的落影,一、圆盖盘在圆柱面上的落影,a,a,一,、,圆盖盘在圆柱面上的落影,b,d,d,0,c,0,c,b,0,b,b,0,c,0,c,d,d,0,g,f,f,1,g,1,f,1,g,1,e,0,e,e,1,e,e,1,e,0,fg,二、,内凹半圆柱面的阴影,e,0,b,0,e,0,c,0,c,d,d,c,c,0,b,0,ab,a,b,三,、,方帽柱头的阴影,m,m,1,1,0,c,0,e,0,e,0,a,v,b,v,f,d,c,ab,o,a,f,c,d,b,c,0,1,0,o,0,e,e,e,v,四,、方盖盘,在内凹半圆柱面上的落影,1,1,1,1,0,2,0,1,0,m,m,b,1,o,0,c,1,1,1,o,2,2,1,a,1,c,d,ab,a,e,b,c,d,形体在圆锥上的阴影,二、方盖盘在圆锥面上的落影,三、在内凹锥面上的落影,一、圆盖盘在圆锥面上的落影,一,、,圆盖盘在圆锥面上的落影,方法,1,c0,s,o,a,1,a,a,a,0,b,0,g,g,o,35,a,a,o,a,1,a,1,o,a,0,a,10,a,0,a,10,d,a,d,0,o,1,d,1,一,、,圆盖盘在圆锥面上的落影,方法,2,c,0,s,o,a,a,a,0,b,0,g,g,m,P,H,m,o,35,a,a,o,a,1,a,1,o,a,0,a,10,a,0,a,10,d,a,d,0,o,1,d,1,二、,方盖盘在圆锥面上的落影,方法,1,4,5,2,3,a,0,f,0,a,10,a,1,d,0,k,a,1,a,b,b,a,o,1,k,0,二、,方盖盘在圆锥面上的落影,方法,2,4,5,g,2,3,a,0,f,0,a10,d,0,k,a,b,a,1,k,0,三,、,在内凹锥面上的落影,e,s,e,s,1,0,1,a,3,b,d,3,0,b,s,h,c,1,0,1,a,3,s,h,2,2,d,3,0,2,0,2,0,回转体的阴影,二、,切锥法切柱法求阴线的实例,三、,球面的阴影,四、用包络线法作回转面阴线的落影,一,、回转面的阴线,一、回转面的阴线,几种特殊锥面的阴线位置、阴面大小及底角,大小,切锥面法求回转面阴线的步骤,回转面阴线的单面作图法,切锥、切柱法,1.,几种特殊锥面的阴线位置、阴面大小及底角,大小,=,35,一条素线与光线重合,1/4,锥面为阴面,阴线在右后方,=,35,=,45,=,45,仅一条素线受光,阴线在左前方,3/4,锥面为阴面,1/2,柱面为阴面,阴线在右后方,阴线在左前方,阴线在左后、右前方,=,90,2.,切锥面法求回转面阴线的步骤,相切锥面,曲线回转面,所求阴点,相切纬圆,锥面阴线,3.,回转面阴线的单面作图法,-,切锥、切柱法,s,1,e,0,d,0,f,0,g,0,g,0,k,0,s,5,i,0,h,0,s,6,l,0,s,4,s,3,a,0,s,2,c,0,b,0,二、,切锥法切柱法求阴线的实例,瓶颈阴线的单面作图,(,切锥、切柱法,),鼓面阴线的单面作法,鼓面阴线的作法,回转面在,V,面上的落影,1.,瓶颈阴线的单面作图,(,切锥、切柱法,),b,0,e,0,d,0,a,1,s,1,s,2,s,2,s,4,s,3,i,0,h,0,a,0,45,45,45,45,3,4,s,1,n,0,m,1,2,1,c,0,l,0,g,0,f,0,j,0,k,0,45,m,0,2.,鼓面阴线的单面作法,s,3,b,1,c,0,d,0,s,1,s,2,s,4,e,0,f,0,b,0,g,0,h,0,a,1,a,0,3.,鼓面阴线的作法,c,0,d,0,e,0,f,0,g,0,h,0,a,0,b,0,b,1,c,0,d,0,e,0,f,0,g,0,h,0,a,1,a,0,b,0,4.,回转面在,V,面上的落影,-,求法,1,b,1,e,1,h,1,d,0,e,0,f,0,h,0,b,0,4.,回转面在,V,面上的落影,-,求法,2,2,0,b,1,2,1,e,1,h,1,d,0,e,0,f,0,h,0,b,0,1,0,三、球面的阴影,圆球的阴影,圆球阴影作图根据的证明,3.,球心距离,V,面为,H,时，圆球阴影的单面作图,4.,用切锥切柱法求圆球面的阴影,1.,圆球的阴影,o,o,l,e,1,o,1,a,b,30,l,H,H,30,c,1,60,d,1,c,1,c,d,X,O,X,1,O,1,H,V,1,c,1,a,1,b,1,35,35,l,1,H,d,1,2.,圆球阴影作图根据的证明,3.,球心距离,V,面为,H,时，圆球阴影的单面作图,H,c,vH,o,v,a,v,60,b,v,d,v,4.,用切锥切柱法求圆球面的阴影,b,v,60,6,7,l,45,d,b,d,v,c,v,a,v,H,o,v,2,1,2,8,o,a,c,d,4,四、用包络线法作回转面阴线的落影,1.,回转面在,H,面上的落影,2.,包络线法作回转面阴影,1.,回转面在,H,面上的落影,2.包络线法作,回转面阴影,c,1,h,1,s,4,g,1,d,1,b,1,c,0,h,0,b,0,i,0,a,0,k,0,d,0,g,0,e,0,f,0,s,1,s,2,a,0,k,0,e,0,f,0,h,0,c,0,b,0,i,0,x,1,x,2,g,0,d,0,形体在曲线回转面上的落影,二、共轴半环面和柱面的阴影作法,一、形体阴线在曲线回转面上的落影,一、形体阴线在曲线回转面上的落影,1.,内凹半球面上的落影,内凹回转面上的落影,四棱柱盖盘在半环面上的阴影,4.,四棱柱盖盘在半环面上阴影的单面作图,1.,内凹半球面上的落影,H,1,V,r,r,/,3,l,e,1,b,1,o,1,e,b,l,1,b,0,c,a,2,b,01,3.,内凹回转面上的落影,U,H,T,H,R,H,2R,u,R,1,o,P,H,Q,H,S,H,s,o,45,r,t,q,p,3,2,4,5,6,7,1,1,2,2,3,3,5,5,4,4,6,6,o,3,o,3,o,6,o,6,o,5,o,5,o,4,o,4,o,2,o,2,o,1,7,7,o,1,3.,四棱柱盖盘在半环面上的阴影,o,o,P,v,Q,v,R,v,S,v,T,v,1,0,5,0,n,0,m,0,2,0,3,0,3,0,4,0,4,0,5,0,c,a,b,a,b,c,p,q,r,s,t,m,0,n,0,5,0,5,0,4,0,4,0,3,0,3,0,1,0,2,0,4.,四棱柱盖盘在半环面上阴影的单面作图,o,a,b,R3,R1,R2,R3,R2,R1,P,v,Q,v,R,v,S,v,T,v,1,0,n,0,m,0,3,0,3,0,4,0,4,0,5,0,5,0,2,0,二、共轴半环面和柱面的阴影作法,1.,环面在柱面上的落影,2.,柱头的落影,1.,环面在柱面上的落影,s,1,e,v,b,1,p,0,n,0,n,1,h,v,p,1,n,1,m,0,s,2,b,v,f,0,e,0,b,0,p,v,m,1,n,v,g,0,b,1,m,1,h,0,p,1,m,v,2.,柱头的落影,a,b,s,2,s,1,1,0,n,0,m,0,3,0,3,0,4,0,4,0,e,1,h,v,o,b,v,b,0,b,1,7,0,8,0,h,0,5,0,c,0,d,0,n,0,f,0,p,1,9,0,g,0,e,v,a,0,2,0,本节结束,