角度大小比较与分类

角度大小比较与分类
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2024-04-10 21:24
所属专题 Besondere Winkelpaare
本范例演示如何比较和分类不同角度的大小,包括锐角、直角、钝角、平角、优角和全角。涉及的核心数学概念是角度的度量及其分类。作图要点包括使用GeoGebra命令如Join, SelectedIndex, Element, If, KeepIf, Zip, Point, Textfield, Polygon, Shuffle, Append, Remove, Angle, Sort等来创建和操作角度对象。适合小学5-6年级学生使用,用于教学和练习角度分类及度量。

GeoGebra 命令及参数

  1. Join(Sequence[Shuffle[Sequence[1, maxexnum]], m, 1, floor(110 / maxexnum)]) → listExNums
  2. SelectedIndex(DropDown2Alt) → input2b
  3. SelectedIndex(DropDown2) → input2a
  4. Element(listwinkelart(exnum), 2) → winkelart2
  5. SelectedIndex(DropDown1Alt) → input1b
  6. SelectedIndex(DropDown1) → input1a
  7. Element(listwinkelart(exnum), 1) → winkelart1
  8. If(altDropDown2, input2b, input2a) → input2
  9. If(altDropDown1, input1b, input1a) → input1
  10. KeepIf(m ≠ 0, m, input0) → input0clean
  11. Zip(IndexOf[m, MCPosActual], m, sol0) → sol0real
  12. Point(Line[H3, Vector[OrthogonalVector[Vector[H4, H5]]]]) → H2
  13. Textfield(input1) → InputBox1
  14. Textfield(input2) → InputBox2
  15. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, rectangleCorrectS3, rectangleCorrectS4, rectangleCorrectS2, rectangleCorrectS1
  16. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForX, {4, 9, 5, 3, 10, 10, 3, 7, 9, 0, 9, 5, 4, 7, 8, 6, 8, 7, 10, 10, 10, 2, 10, 8, 10, 8, 3, 6, 5, 5, 10, 4, 2, 7, 9, 7, 9, 9, 0, 7, 7, 5, 0, 0, 0, 8, 7, 8, 8, 0, 1, 6, 9, 1, 5, 4, 4, 1, 8, 9, 5, 10, 8, 9, 4, 8, 2, 8, 3, 7, 0, 5, 0, 9, 5, 2, 5, 4, 10, 7, 2, 9, 9, 0, 5, 7, 8, 1, 1, 4, 8, 10, 0, 7, 8, 3, 9, 0, 6, 0}
  17. Element(randomNosForX, Mod[questionCount, 100] + 1) → numX
  18. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForY, {4, 6, 6, 0, 10, 8, 10, 9, 8, 3, 7, 1, 3, 7, 3, 3, 1, 5, 10, 2, 3, 2, 8, 6, 0, 9, 0, 6, 0, 5, 5, 7, 8, 1, 0, 9, 3, 6, 10, 10, 8, 5, 10, 9, 1, 0, 7, 6, 7, 0, 4, 4, 4, 5, 10, 8, 1, 0, 10, 5, 8, 6, 2, 9, 5, 10, 3, 2, 4, 10, 9, 1, 6, 2, 10, 1, 2, 8, 7, 5, 10, 2, 2, 9, 7, 7, 9, 9, 1, 1, 10, 2, 8, 8, 9, 8, 1, 8, 4, 4}
  19. Element(randomNosForY, Mod[questionCount, 100] + 1) → numY
  20. Append(true, Sequence[If[randomNosForX(i) ≟ randomNosForX(i - 1), false, true], i, 2, 100]) → stayX
  21. Append(true, Sequence[If[randomNosForY(i) ≟ randomNosForY(i - 1), false, true], i, 2, 100]) → stayY
  22. Remove(Sequence[If[stayX(i), randomNosForX(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForXwithoutRepeat
  23. Remove(Sequence[If[stayY(i), randomNosForY(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForYwithoutRepeat
  24. Element(randomNosForXwithoutRepeat, Mod[questionCount, Length[randomNosForXwithoutRepeat]] + 1) → numXwithoutRepeat
  25. Element(randomNosForYwithoutRepeat, Mod[questionCount, Length[randomNosForYwithoutRepeat]] + 1) → numYwithoutRepeat
  26. Point(Line[F3, Vector[F5, F4]]) → F2
  27. Point(Line[G4, Vector[OrthogonalVector[Vector[G6, G7]]]]) → G3
  28. Point(Segment[G6, G7]) → G5
  29. Point(Line[H2, Vector[OrthogonalVector[Vector[H4, H6]]]]) → H1
  30. Point(Line[C6, xAxis]) → C5
  31. Point(Line[C6, yAxis]) → C8
  32. Point(Line[E1, xAxis]) → E3
  33. Point(Line[E5, xAxis]) → E4
  34. Point(Line[E8, Vector[E7, E5]]) → E6
  35. Point(Line[E6, xAxis]) → E2
  36. Angle(A2, Intersect[Line[A1, A2], Line[A3, A4]], A3) → w1a
  37. Angle(A1, A2, A5) → w1b
  38. Angle(A2, Intersect[Line[A5, A2], Line[A3, A4]], A3) → w1c
  39. Angle(A3, Intersect[Line[A5, A2], Line[A3, A4]], A5) → w1d
  40. Angle(A5, Intersect[Line[A5, A2], Line[A3, A4]], A4) → w1e
  41. Angle(B1, Intersect[Line[B1, B2], Line[B7, B5]], B7) → w2a
  42. Angle(B6, Intersect[Line[B1, B2], Line[B6, B5]], B2) → w2b
  43. Angle(B5, Intersect[Line[B1, B2], Line[B7, B5]], B1) → w2c
  44. Angle(B4, Intersect[Line[B3, B4], Line[B6, B5]], B5) → w2d
  45. Angle(B3, Intersect[Line[B3, B4], Line[B7, B5]], B7) → w2e
  46. Angle(C6, Intersect[Line[C1, C2], Line[C6, C5]], C1) → w3a
  47. Angle(C2, Intersect[Line[C2, C1], Line[C8, C7]], C8) → w3b
  48. Angle(C8, Intersect[Line[C2, C1], Line[C8, C7]], C1) → w3c
  49. Angle(C1, Intersect[Line[C2, C1], Line[C8, C7]], C7) → w3d
  50. Angle(C2, Intersect[Line[C2, C1], Line[C3, C4]], C4) → w3e
  51. Angle(E7, Intersect[Line[E1, E3], Line[E7, E5]], E1) → w5a
  52. Angle(E3, Intersect[Line[E1, E3], Line[E8, E6]], E8) → w5b
  53. Angle(E1, Intersect[Line[E1, E3], Line[E8, E6]], E6) → w5c
  54. Angle(E4, Intersect[Line[E5, E4], Line[E7, E5]], E7) → w5d
  55. Angle(E8, Intersect[Line[E8, E6], Line[E2, E6]], E2) → w5e
  56. Angle(F5, Intersect[Line[F4, F5], Line[F6, F1]], F6) → w6a
  57. Angle(F4, Intersect[Line[F4, F5], Line[F6, F1]], F1) → w6b
  58. Angle(F1, Intersect[Line[F4, F5], Line[F6, F1]], F5) → w6c
  59. Angle(F3, Intersect[Line[F2, F3], Line[F6, F1]], F6) → w6d
  60. Angle(F6, Intersect[Line[F2, F3], Line[F6, F1]], F2) → w6e
  61. Angle(G5, Intersect[Line[G2, G4], Line[G1, G5]], G2) → w7a
  62. Angle(G4, Intersect[Line[G2, G4], Line[G1, G5]], G5) → w7b
  63. Angle(G3, Intersect[Line[G2, G4], Line[G4, G3]], G2) → w7c
  64. Angle(G6, Intersect[Line[G7, G6], Line[G3, G4]], G4) → w7d
  65. Angle(G3, Intersect[Line[G7, G5], Line[G3, G4]], G6) → w7e
  66. Angle(G1, G5, G7) → w7f
  67. Angle(G7, G5, G6) → w7g
  68. Angle(H2, Intersect[Line[H2, H3], Line[H4, H5]], H5) → w8a
  69. Angle(H2, Intersect[Line[H2, H3], Line[H6, H4]], H6) → w8b
  70. Angle(H5, Intersect[Line[H2, H1], Line[H4, H5]], H1) → w8c
  71. Angle(H2, Intersect[Line[H2, H1], Line[H4, H6]], H6) → w8d
  72. Angle(H6, Intersect[Line[H2, H1], Line[H4, H6]], H1) → w8e
  73. Angle(H5, H4, H6) → w8f
  74. Angle(H3, H2, H1) → w8g
  75. KeepIf(IndexOf[M, listwinkelnames] ≠ listwinkel(exnum), M, listwinkelnames) → listwinkelnamesextra
  76. Zip(Length[m], m, listsol0) → listNumCorrectAnswers
  77. Join({{sol0(1)}, {RandomElement[Sequence[1, 4] \ RemoveUndefined[{sol0(1), sol0(2)}]]}}) → MCSwap
  78. Zip(If[a ∈ MCSwap, RandomElement[MCSwap \ {a}], a], a, MCPosActual) → MCPosNext
  79. Sort({option1, option2, option3, option4}, MCPosActual) → optionsreal
  80. Zip(listwinkelnamesextra(m), m, MCPosActual) → listwinkelnamesActual

AI 绘图提示语参考

请绘制一个展示不同角度分类的图形。图形应包含锐角、直角、钝角、平角、反射角和完整角等关键角度对象。这些角度可以通过连接相应点并标注类型来呈现。构造顺序为:先绘制基础点,然后连接点形成角度,再添加标注说明角度分类。图形应清晰直观,适合教学使用。
以上提示语为根据原始绘图命令整理而来,仅供参考。