几何体体积计算与分解

GeoGebra 命令及参数

1. Textfield(input1) → InputBox1
2. Textfield(input2) → InputBox2
3. Sum({attemptCountInputBox1, attemptCountInputBox2, attemptCountInputBox3, attemptCountInputBox4, attemptCountInputBox5}) → attemptCount
4. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForX, {7, 3, 10, 7, 4, 4, 6, 8, 5, 5, 2, 3, 3, 3, 4, 4, 9, 1, 0, 8, 6, 4, 8, 6, 7, 0, 7, 9, 1, 5, 8, 8, 3, 4, 7, 2, 0, 9, 4, 1, 9, 0, 10, 0, 6, 3, 6, 0, 0, 8, 10, 0, 4, 8, 5, 9, 6, 10, 2, 0, 3, 1, 1, 0, 2, 2, 4, 9, 5, 0, 7, 2, 3, 1, 7, 4, 0, 2, 2, 3, 2, 5, 9, 6, 5, 8, 6, 9, 0, 1, 10, 0, 5, 10, 4, 6, 5, 5, 10, 8}
5. Element(randomNosForX, Mod[questionCount, 100] + 1) → numX
6. U(A, pointVec) → l1, l2, C, D, E, F, G, H, l0BG1, l4Kontur, l2Mantel, l4lines, l4linesManual, l5FG1, l5FG2, B
7. LaTeX(step, true, true) → Text1
8. Segment(pointOption1, F) → segmentOption1
9. Segment(F, pointOption2) → segmentOption2
10. Segment(E, pointOption3) → segmentOption3
11. Segment(E, pointOption4) → segmentOption4
12. Translate(C, pointVec) → C'
13. Translate(pointOption4, pointVec) → pointOption4'
14. Translate(F, pointVec) → F'
15. Translate(G, pointVec) → G'
16. Translate(H, pointVec) → H'
17. If(option1, A, pointOption1) → pointObject11
18. If(option1, pointOption2, F) → pointObject12
19. Translate(D, pointVec) → D'
20. Segment(pointOption4, pointOption4') → segmentOption41
21. Translate(B, pointVec) → B'
22. If(¬option4, pointOption4', B') → pointObject31
23. If(¬option4, pointOption4, B) → pointObject32
24. If(¬option4, E, pointOption3) → pointObject33
25. If(option2 ∧ option4, 1, option1 ∧ option4, 2, option1 ∧ option3, 3, 4) → typ
26. Segment(G', D') → segmentFilled1
27. Segment(G, D) → segmentFilled2
28. Segment(pointOption1, F) → segmentCutted1
29. Segment(E, pointOption4) → segmentCutted2
30. Segment(pointOption4, pointOption4') → segmentCutted3
31. Segment(B', C') → f
32. Segment(C', D') → g
33. Segment(D', D) → h
34. Segment(E', F') → i
35. Segment(F', G') → j
36. Segment(G', H') → k
37. Segment(H', H) → l
38. If(step ∈ {4, 5}, (-23.75, 32.5), (-23.75, 35)) → speechbubble12
39. If(step ∈ {4, 5}, (0, 32.5), (3.75, 35)) → speechbubble13
40. If(step ∈ {4, 5}, (0, 40.3), (3.75, 39.5)) → speechbubble14
41. If(step ∈ {4, 5}, (-23.75, 40.3), (-23.75, 39.5)) → speechbubble15
42. Textfield(input3) → InputBox3
43. Textfield(input4) → InputBox4
44. Textfield(input71) → InputBox71
45. Textfield(input72) → InputBox72
46. Textfield(input73) → InputBox73
47. Textfield(input74) → InputBox74
48. Textfield(input75) → InputBox75
49. If((¬option1) ∧ (¬option2), input72 ≟ ((3 * 5) * 2), true) → correct72
50. If((¬option3) ∧ (¬option4), input74 ≟ ((3 * 5) * 2), true) → correct74
51. Dilate(Translate[l5FG2, (-10, 0)], step6Scalefactor, CenterOfDilation) → l3
52. Dilate(Translate[listObject1, translationVector], step6Scalefactor, CenterOfDilation) → listObject1'
53. Dilate(Translate[listObjectFilledLeftBottom, translationVector], step6Scalefactor, CenterOfDilation) → listObjectFilledLeftBottom'
54. Dilate(Translate[listObjectFilledRightBottom, translationVector], step6Scalefactor, CenterOfDilation) → listObjectFilledRightBottom'
55. Dilate(Segment[Translate[F, translationVector], Translate[pointOption2, translationVector]], step6Scalefactor, CenterOfDilation) → segmentOption2'
56. Dilate(Segment[Translate[E, translationVector], Translate[pointOption3, translationVector]], step6Scalefactor, CenterOfDilation) → segmentOption3'
57. Dilate(Segment[Translate[pointOption1, translationVector], Translate[F, translationVector]], step6Scalefactor, CenterOfDilation) → segmentOption1'
58. Dilate(Translate[listObject3, translationVector], step6Scalefactor, CenterOfDilation) → listObject3'
59. Dilate(Translate[listObject2, translationVector], step6Scalefactor, CenterOfDilation) → listObject2'
60. Dilate(Translate[l0BG1, translationVector], step6Scalefactor, CenterOfDilation) → step6l0BG1'
61. Dilate(Translate[l2Mantel, translationVector], step6Scalefactor, CenterOfDilation) → step6l2Mantel'
62. Dilate(Translate[l4Kontur, translationVector], step6Scalefactor, CenterOfDilation) → step6l4Kontur'
63. Dilate(Translate[l4linesManual, translationVector], step6Scalefactor, CenterOfDilation) → step6l4linesManual'
64. Dilate(Translate[l5FG1, translationVector], step6Scalefactor, CenterOfDilation) → step6l5FG1'
65. Dilate(Translate[l5FG2, translationVector], step6Scalefactor, CenterOfDilation) → step6l5FG2'
66. Dilate(Segment[Translate[pointOption4, translationVector], Translate[pointOption4', translationVector]], step6Scalefactor, CenterOfDilation) → segmentOption41'
67. Dilate(Translate[listObjectFilledRightBottom, translationVector], step6Scalefactor, CenterOfDilation) → listObjectFilledRightBottomBG'
68. PolyLine(Dilate[B, step6Scalefactor, CenterOfDilation], Dilate[B', step6Scalefactor, CenterOfDilation], Dilate[A, step6Scalefactor, CenterOfDilation], Dilate[C', step6Scalefactor, CenterOfDilation], Dilate[D', step6Scalefactor, CenterOfDilation], Dilate[D, step6Scalefactor, CenterOfDilation], Dilate[E', step6Scalefactor, CenterOfDilation], Dilate[F', step6Scalefactor, CenterOfDilation], Dilate[G', step6Scalefactor, CenterOfDilation], Dilate[H', step6Scalefactor, CenterOfDilation], Dilate[H, step6Scalefactor, CenterOfDilation]) → m
69. PolyLine(Translate[E, translationVector], Translate[pointOption4, translationVector], Translate[I', translationVector]) → n
70. Dilate(PolyLine[Translate[E, translationVector], Translate[pointOption4, translationVector], Translate[I', translationVector]], step6Scalefactor, CenterOfDilation) → segmentOption4'
71. Translate(cora, (7, 0)) → cora'
72. Textfield(input31) → InputBox31
73. Textfield(input32) → InputBox32
74. Translate(elia, (30.434007263501044, -17.511741828561323)) → elia'
75. Translate(Mirror[speechbubble2, x = -18], (0.5, -20)) → speechbubble3
76. Textfield(input2a) → InputBox2a
77. Textfield(input3a) → InputBox3a
78. Textfield(input1a) → InputBox1a
79. Textfield(input1b) → InputBox1b