正棱柱体积计算演示 by Jesse Parete

GeoGebra 命令及参数

1. Polygon(((sides - 3) / sides, 0), (8.5 / sides + (sides - 3) / sides, 0), sides) → poly1
2. Perimeter(poly1) → Perimeter
3. Area(poly1) → Area
4. Text("Perimeter = " + Perimeter) → text2
5. Text("Area = " + Area) → text1
6. Text("Number of sides = " + sides) → text3
7. Text("Base of right prism with HEIGHT = 5.5") → text4
8. OrthogonalLine(B, yAxis) → c
9. OrthogonalLine(D, xAxis) → d
10. Intersect(c, d) → C
11. Polygon(A, B, C, D) → poly2, a_1, b_1, c_1, d_1
12. Text("Area = " + (AD * h)) → text8
13. Text("Side AB = " + h) → text9
14. Text("Side AD = " + AD) → text10
15. Text("If the rectangle is the base of a right prism of height 5.5 then Volume = " + (AD * h * 5.5)) → text7
16. Text("height =5.5 units") → text11
17. Segment(A', D') → g
18. Rotate(F, 65, A') → F'
19. Segment(A', F') → i
20. Vector(A', D') → u
21. Translate(F, u) → F'_1
22. Rotate(F'_1, 65, D') → E
23. Polygon(A', D', E, F') → poly3, a', d', e_1, f'
24. Segment(G, F') → j
25. Segment(G', A') → k
26. Segment(G, G') → l
27. Segment(G, H') → m
28. Segment(H', H) → n
29. Segment(H, G') → p
30. Segment(H', E) → q
31. Rotate(A', 327.5*°, A') → A''
32. Intersect(e_1, k) → I
33. Intersect(e_1, k) → J
34. Intersect(e_1, d') → K
35. Segment(F', I) → r
36. Segment(I, E) → s
37. Segment(H, D') → t
38. Text("Length = " + g_2) → text12
39. Point(i) → L
40. Text("Width = " + a_1) → text13
41. Text("Height = 5.5 ") → text14
42. Point(t) → M
43. Segment(F', E) → f_1
44. Text(" = 5.5 units") → text15
45. Vector(N, O) → w
46. Text("Volume = " + volume) → text16
47. Point(yAxis) → P
48. Vector(A, P) → z
49. Point(xAxis) → Q
50. Vector(A, Q) → b
51. Text("How do the area and volume values relate?") → text6
52. Text("11''x8.5''") → text18
53. Text("5.5''x8.5''") → text19
54. Text("8.5''") → text20
55. Text("5.5''") → text21
56. Text("''Max-Min''") → text22