高等数学微积分课件点集精要.ppt

6.1.1 点集 Set of Points * * * * 四川大学数学学院 2005 上一页 | 首页 | 下一页 四川大学数学学院 2005 上一页 | 首页 | 下一页 * 四川大学数学学院 2005 直线 R 中的点集 实数集，一维空间 区间 自然数集 平面中的点集 实平面，二维空间 平面中的点集 A Circle 圆域 with(student):with(plots): quxian:=implicitplot(y=x^2,x=-2..2,y=-0.2..4): zhixian:=implicitplot(y=1-x,x=-2..2,y=-0.2..4,color=blue): display(quxian,zhixian,scaling=constrained,thickness=6); with(student):with(plots): quxian:=implicitplot(y=x^2,x=-2..2,y=-0.2..4): zhixian:=implicitplot(y=1-x,x=-2..2,y=x^2..1-x,color=blue): region:=implicitplot(y=1-x,x=-(sqrt(5)+1)/2..(sqrt(5)-1)/2,y=x^2..1-x,color=grey,filled=true): display(quxian,zhixian,region,scaling=constrained,thickness=6); with(student):with(plots): quxian:=implicitplot(y=x^2,x=-2..2,y=-0.2..4): zhixian:=implicitplot(y=1-x,x=-2..2,y=-0.2..4,color=blue): display(quxian,zhixian,scaling=constrained,thickness=6); with(student):with(plots): quxian:=implicitplot(y=x^2,x=-2..2,y=-0.2..4): zhixian:=implicitplot(y=1-x,x=-2..2,y=-0.2..4,color=blue): display(quxian,zhixian,scaling=constrained,thickness=6); 圆环域 空间中的点集 实空间，三维空间 球面 with(plots): qiumian:=implicitplot3d(x^2+y^2+z^2=1,x=-1..1,y=-1..1,z=-1..1,color=yellow,grid=[20,20,20]): x_axis:=plot3d([u,0,0],u=-2..2,v=0..0.01,thickness=2): y_axis:=plot3d([0,u,0],u=-2..2,v=0..0.01,thickness=2): z_axis:=plot3d([0,0,u],u=-2..2,v=0..0.01,thickness=2): display(qiumian,x_axis,y_axis, z_axis,orientation=[23,66],scaling=constrained); 球体 with(plots): qiumian:=implicitplot3d(x^2+y^2+z^2=1,x=-1..1,y=-1..1,z=-1..1,color=yellow,grid=[20,20,20]): x_axis:=plot3d([u,0,0],u=-2..2,v=0..0.01,thickness=2): y_axis:=plot3d([0,u,0],u=-2..2,v=0..0.01,thickness=2): z_axis:=plot3d([0,0,u],u=-2..2,v=0..0.01,thickness=2): display(qiumian,x_axis,y_axis, z_axis,orientation=[23,66],scaling=constrained); with(plots): zuimian:=plot3d([r*cos(t),r*sin(t),r],t=0..2*Pi,r=0..1.2,color=yellow): qiumian:=plot3d([sin(s)*cos(t),sin(s)*sin(t),cos(s)],s=0..Pi/2,t=0..2*Pi,color=green): x_axis:=plot3d([u,0,0],u=-1.2..1.2,v=0..0.01,thickness=2): y_a