習(xí)題解答-28-三重積分的概念與計算(157-158頁)(編輯修改稿)
2025-08-22 13:25 本頁面
【文章內(nèi)容簡介】 d???????0?? ?1 y 2x z( )?? ?1 y 2z y x148with(plots): qumian1:=plot3d([0,y,z],y=0..1,z=0..1y^2,color=yellow): qumian2:=plot3d([x,y,0],x=0..1,y=x^2..1,color=green): qumian3:=plot3d([x,x^2,z],x=0..1,z=0..1x^4,color=brown): qumian4:=plot3d([x,y,1y^2],x=0..1,y=x^2..1,color=gray): x_axis:=plot3d([u,0,0],u=1/2..1,v=0..,thickness=3): y_axis:=plot3d([0,u,0],u=1/2..,v=0..,thickness=3): z_axis:=plot3d([0,0,u],u=..,v=0..,thickness=3): xyz:=display(x_axis,y_axis,z_axis,thickness=3): display(qumian1,qumian2,qumian3,qumian4,xyz,scaling=constrained,orientation=[55,68])。 f:=(x,y,z)exp(abs(z))。 theta1:=0:theta2:=2*Pi: r1:=theta0:r2:=thetasqrt(1z^2): z1:=(x,y)1:z2:=(x,y)1: Int(Int(Int(f(x,y,z)*r,r=r1(theta)..r2(theta)),theta=theta1..theta2),z=z1..z2) =int(int(int(f(x,y,z)*r,r=r1(theta)..r2(theta)),theta=theta1..theta2),z=z1..z2)。 ?? ?d????11d????02 ?d????0?? ?1 z 2e z r r ? z 2 ?f:=(x,y,z)x: x1:=0:x2:=1: y1:=x0:y2:=x(1x)/(1+x): z1:=(x,y)0:z2:=(x,y)x*y: Int(Int(Int(f(x,y,z),z=z1(z,y)..z2(z,y)),y=y1(x)..y2(x)),x=x1..x2) =int(int
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