126.sagews

3.1.

point((-1,2))

3.2.

sage: point(((-1,1),(1,-1)),pointsize=30,rgbcolor='red')

3.3.

sage: arrow((1,1),(2,2))

sage: show(arrow((1,1),(2,2)),xmin=-3,xmax=3,ymin=-3,ymax=3)

3.4. 1,5) 2,3).

sage: line(((-1,5), (2,-3)))

3.5. (2,2), (1,3), (0.5,0), (2,6) 7,4).

line( ((-2,2),(-1,-3),(0.5,0),(2,6),(7,-4)),\
linestyle='--', marker='^')

3.6. (1,1).

c1=circle((1,1),1); c1

show(c1,aspect_ratio=1)

3.7. (0,0).

c2= circle((0,0),1,fill=true,rgbcolor=(0.1,0.2,0.3))
c2.show(aspect_ratio=1)

3.8. (0,0).

show(disk((0,0),1,(0,2*pi)),aspect_ratio=1)

3.9. (1,1) 960;/4, 3π/4.

sage: show(disk((-1,-1),4,(pi/4,3*pi/4)),aspect_ratio=1)

3.10. , (1,2), (5,6), (5,0).

sage: polygon([[1,2], [5,6], [5,0]], rgbcolor=(1,0,1))

3.11. .

sage: L=[[cos(pi*i/3),sin(pi*i/3)] for i in range(6)];
sage: show(polygon(L,rgbcolor=(1,0,1)),aspect_ratio=1)

3.12.

sage: plot(sin(x),(-2*pi,2*pi),rgbcolor='black')

3.13.

sage: t=var('t');parametric_plot((3*sin(t),2*cos(t)),0,2*pi)

3.14.

polar_plot(3*x,0,7*pi)

3.15. 12, 17, 19, 37, 30, 10, 8, 5, 4.

bar_chart([12, 17, 19, 37, 30, 10, 8, 5, 4])

3.16. $f(x,y) =\cos{(x^3+y^2)}$.

sage: f(x,y)=cos(x^3+y^2)
sage: contour_plot(f,(-3,6),(-3,3))

3.17. $\;f_1=\sin{(x + y)}\;$ \;f_2 = \cos{(x y)}\;$.

sage: f1(x,y)=sin(x+y)
sage: f2(x,y)=cos(x-y)
sage: plot_vector_field((f1,f2), (-3,3), (-3,3))

3.18. .

sage: point3d((-1,2,2),size=10)

3.19. ,

sage: point3d(((-1,1,2),(1,-1,2)),size=5,rgbcolor='green')

3.20. (1,2,3), (1,0,-2), (3,1,4), (2,1,-2).

sage: line3d([(1,2,3), (1,0,-2), (3,1,4), (2,1,-2)],\
color='green',radius=0.02)

3.21. .

sage: u,v=var('u,v')
sage: plot3d(u^2-v^2, (u,-1,1), (v,-1,1),\
plot_points=[50,50])

3.22. .

sage: u,v=var('u,v')
sage: parametric_plot3d([u*cos(v),u*sin(v),u^2],\
(u,0,1),(v,0,2*pi+0.4))

3.23.

sage: u,v=var('u,v')
sage: parametric_plot3d([u*cos(v),u*sin(v),u],\
(u,-1,0), (v, 0, 2*pi+0.5))

3.24.

sage: u,v=var('u,v')
sage: f_x = cos(u)*(4*sqrt(1-v^2)*sin(abs(u))^abs(u))
sage: f_y = sin(u) *(4*sqrt(1-v^2)*sin(abs(u))^abs(u))
sage: f_z = v
sage: parametric_plot3d([f_x,f_y,f_z],(u,-pi,pi), (v,-1,1),\
frame=False, color='red')