3.
. . 11. , (. . 3.1.).
1. Inset → Graph → Polar Plot. . ( [Ctrl +7]).
2. θ. , ( ). r(θ) Re(r(θ)) Im(r(θ)). r(θ) , .
3. X-Y Plot. : x(θ)=r(θ)cos(θ) y(θ)=r(θ)sin(θ), x(θ) y(θ).
4. θ ( , ), MathCAD . Re Im , r(θ).
. 11. , MathCAD
3.1.
, ( ) Format → Graph → Polar Plot . Formatting Currently Selected Polar Plot ( ). , .
Polar Axes (. 12):
- Log Scale ( ) r -.
- Grid Lines ( ) , r=const q=const.
- Numbered () r=const q=const .
- Show Markers ( ) r=const. . , ; , .
- Auto Grid () MathCAD.
. 12. Polar Axes
Formatting Currently Selected Polar Plot
, X-Y Plot.
IV. z = f (x,y)
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4.
. , . 13.
. 13. z = f (x,y)
, MathCAD
1. , MathCAD . f (x, y) Insert → Graph → Surface Plot Graph ( [Ctrl+7]).
2. ( ) . MathCAD . x y [-5,5].
. Format → Graph → 3D Plot (. 14) Format. 3-D Plot Format QuickPlot Data x y.
. 14. QuickPlot Data
3D Plot Format
5.
. . 15.
1. xi yj, . ( ) f (x, y), . : A i,j = f (xi, yj).
2. Insert → Graph → Surface Plot ( ).
3. , , , 14.
. 15. , MathCAD |
6.
, , , 5.
1. , , () Contour Plot () (. 16).
. 16. ,
MathCAD
2. , 3D Bar Plot (3D ) , 3D Scatter Plot (3D ) (. 17). 3. 3D Patch Plot (3D ) , X-Y (. 18). |
. 17. , MathCAD | . 18. , MathCAD |
V. ,
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7.
, . . 19.
. 19. 7
1. , , x y z - u v. ui vj. x(u,v), y(u,v) y(u,v).
2. Surface Plot MathCAD . ( ) x, y, z.
3. , . 20.
. 20. , ,
MathCAD
5.1.
, , Format → Graph → 3D Plot . 3-D Plot Format, . . , , .
3-D Plot Format . , - .
General ( ) (. 21) :
View . Rotation Z X-Y. Tilt X-Y. Zoom () , , .
Axes Style ( ) , Perimetr () Corner (). . Corner Ox Oy A0,0 A.
Frames Show box () , Show border () .
Plot 1 (Plot 2...) Display as (/ ) - (, , .)
. 21. General 3-D Plot Format
Axes () (. 22).
. 22. Axes 3-D Plot Format
Grids () , x,y,z = const.
Show Numbers (), .
Ox Oy xi, yj, i j, Oz , Ai,j.
Auto Grid (), . , .
Auto Scale (), MathCAD . Minimum Value () Maximum Value ().
Appearance ( ) ( Fill Options); , ( Line Options); ( Draw Points Point Options), , .
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Lighting () Enable Lighting ( ) , , .
Backplanes ( ) , : , , , .
Special () , .
Advansed , ( Ox, Oy Oz). Enable Fog ( ) , (). Perspective () .
Quick Plot Data .
VI.
. , , (x (t) ,y (t) ,z (t)), t .
8.
. . 23.
1. MathCAD , xi, yi, zi. , !. | . 23. 8. | ||
2. Insert3D → Graph → Scatter Plot(. 24). Graph, . Appearance Line. | . 24. , MathCAD | ||
VII.
9.
. . 25.
. 25. 9
1. Insert → Graph → Vector Field Plot ( ) v=(vx, vy).
2. - - x y. x y. vx(x,y) vy(x,y) vxi, j vyi, j.
3. . 26.
. 26. ,
MathCAD
10.
. . 27.
. 27. 10
1. , , f (x,y). .
, , 3-D Plot Format.
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VIII. ,
, . .
11.
, , . 28 Y.
. 28. 11 | 1. . MathCAD CreateMesh, . |
. 29. ,
Y
IX. MathCAD
6- , MathCAD . X-Y Plot Graph Insert. FRAME ( 0 9).
, - ( , Frame).
12.
, . 30. .
. 30.
12.
:
1. Animate View. Animate (. 31).
2. .
. 31. Animate
3. FRAME ( From To).
4. At .
5. Animate. .
. 32. Playback | 6. Play Playback () (. 32). 7. Playback. 8. Save As AVI. |
. 33. | Mathcad- Windows Explorer. : 1. Windows Explorer. 2. Windows Explorer AVI-. 3. AVI- Mathcad-. (. 33). |
, AVI- . Mathcad- :
1. Object Insert.
2. .
3. AVI- .
4. , OK.
. 34.
. , , , FRAME=1,2,3... ..
, .
1. , 0 2 0.1; f (x) = x ∙sin(2 x)2, .
2. i 15, xi = i /10, yi = xi ∙sin(2 xi)2, yi (xi).
3. g (x, y) = x 2 y 2, x y -5 5.
4. . :
, , ,
N = 30.
5. . R (f) = |cos(FRAMEf)|. ( 20, 3. .
! !
6. , :
, ,
7. :
, ,
8. N, ; , .
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9. Z =e x / a (x + y 2); x (-5;5); 0,5; y (-5;5), 0,5; a =2.
10. Z = a ∙ln(bx 2 y 2+ c); x (-2;2), 0,2; (-2;2), 0,2; a =2; b=3;c=0,01.
11. , :
N=45, φ 0 2π, 1/N.
12. g(x,y) =x2 +y3+2x-20, x y -5 5.
1. Mathcad?
2. Mathcad?
3. ?
4. ?
5. ?
6. .
7. Mathcad?
8. , Mathcad?
9. ?
10. ?
1. http://www.ugtu.krasnoturinsk.ru/metod/metodic;
2. . MathCAD 2001 / . . : BHV--, 2001. 544 .
3. .. MathCAD -2000: / .. . , 2002 . 204 .