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多个数字排序

多个数字排序
几何画板及绘图内容加载中，请稍等……
2024-06-13 18:24
数列不等式几何作图
所属专题 Ordnen und Vergleichen von ganzen Zahlen
本范例演示了如何比较和排序多个整数。学生可以通过选择正确的排序序列来回答问题。这个范例涉及的核心数学概念是整数的比较和排序。作图要点包括使用 GeoGebra 的 Sequence 和 Sort 命令来创建和排序整数序列。适合的学段或用途是初中数学教育，特别是整数和比较的学习。

GeoGebra 命令及参数

  1. Sequence(Random[1, 10], i, 1, 10) → randomNumbers, {2, 4, 6, 5, 6, 4, 1, 9, 10, 8}
  2. Element(randomNumbers, Mod[questionCount, Length[randomNumbers]] + 1) → randomNumber
  3. Textfield(input) → inputBox
  4. Join({Reverse[Sequence[Origin - (k * ((lengthAxis1 / ((2 * anzahl1)) * 1), 0)), k, 1, anzahl1 / 1]], Sequence[Origin + (k * ((lengthAxis1 / ((2 * anzahl1)) * 1), 0)), k, 0, anzahl1 / 1]}) → PointAxisList
  5. Sequence((-floor((1 * anzahl1 / 1))) + (k * 1), k, 0, floor((anzahl1 * 2 / 1))) → NumberList, {-8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8}
  6. Join({PointAxisList, Sequence[Origin + (((-lengthAxis1)) / 2, 1) + (k * (lengthAxis1 / ((2 * anzahl1)), 0)), k, 0, 5]}) → PosListPoints
  7. Point(PosListPoints) → Point31
  8. Point(PosListPoints) → Point32
  9. Point(PosListPoints) → Point34
  10. Point(PosListPoints) → Point35
  11. Point(PosListPoints) → Point36
  12. Sort({number31, number32, number33, number34, number35, number36}) → Number3List
  13. Join({Reverse[Sequence[Origin7 - (k * ((lengthAxis1 / ((2 * anzahl7)) * strichabstand), 0)), k, 1, anzahl7 / strichabstand]], Sequence[Origin7 + (k * ((lengthAxis1 / ((2 * anzahl7)) * strichabstand), 0)), k, 0, anzahl7 / strichabstand]}) → PointAxisList7
  14. Join({PointAxisList7, Sequence[Origin + (((-lengthAxis1)) / 2, 1) + (k * (lengthAxis1 / 20, 0)), k, 0, 5]}) → PosListPoints7
  15. Point(PosListPoints7) → Point71
  16. Point(PosListPoints7) → Point72
  17. Point(PosListPoints7) → Point74
  18. Point(PosListPoints7) → Point75
  19. Point(PosListPoints7) → Point76
  20. Sequence((-floor((schrittweite * anzahl7 / strichabstand))) + (k * schrittweite), k, 0, floor((anzahl7 * 2 / strichabstand))) → NumberList7, {-10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
  21. Point(PosListPoints) → Point33
  22. Reverse(Sort[{number71, number72, number73, number74, number75, number76}]) → Number7List
  23. Point(PosListPoints7) → Point73
  24. If(step ≟ 3, correct31 ∧ correct32 ∧ correct33 ∧ correct34 ∧ correct35 ∧ correct36, step ≟ 4, correct41 ∧ correct42 ∧ correct43 ∧ correct44 ∧ correct45 ∧ correct46, step ≟ 7, correct71 ∧ correct72 ∧ correct73 ∧ correct74 ∧ correct75 ∧ correct76, step ≟ 8, correct81 ∧ correct82 ∧ correct83 ∧ correct84 ∧ correct85 ∧ correct86, true) → clickableBtnNext
  25. Segment(Origin + (((-lengthAxis1)) / 2 - edge, 0), Origin + (lengthAxis1 / 2 + edge, 0)) → Axis1
  26. Sequence(Text[(("\textsf{\(" * NumberList(k)) * "\)}"), PointAxisList(k) + (If[NumberList(k) < 0, -0.17, 0], ((-lengthSeg)) / 2), false, true, 0, -1], k, 1, Length[NumberList]) → CapAxis
  27. Sequence(Segment[PointAxisList(k) + (0, ((-lengthSeg)) / 2), PointAxisList(k) + (0, lengthSeg / 2)], k, 1, Length[PointAxisList]) → SegList
  28. Textfield(input41) → InputBox41
  29. Textfield(input43) → InputBox43
  30. Textfield(input42) → InputBox42
  31. Textfield(input44) → InputBox44
  32. Textfield(input45) → InputBox45
  33. Textfield(input46) → InputBox46
  34. Sequence(Text["\textsf{<}", PosInputBoxes + ((k * 1.7), -0.225), false, true, 0, 0], k, 1, 5) → SymbList4
  35. Textfield(input81) → InputBox81
  36. Textfield(input82) → InputBox82
  37. Textfield(input83) → InputBox83
  38. Textfield(input84) → InputBox84
  39. Textfield(input85) → InputBox85
  40. Textfield(input86) → InputBox86
  41. SelectedIndex(dropdown101) → index101
  42. SelectedIndex(dropdown102) → index102
  43. SelectedIndex(dropdown103) → index103
  44. Segment(Origin10 + (((-lengthAxis10)) / 2 - edge, 0), Origin10 + (lengthAxis10 / 2 + edge, 0)) → Axis10
  45. Join({Reverse[Sequence[Origin10 - (k * (lengthAxis10 / ((2 * anzahl10)), 0)), k, 1, anzahl10]], Sequence[Origin10 + (k * (lengthAxis10 / ((2 * anzahl10)), 0)), k, 0, anzahl10]}) → PointAxisList10
  46. Text("\textsf{Beispiel:}", PointAxisList10(1) + ((-3 * edge), 0.075), false, true, -1, 0) → txt101
  47. Sequence(Text[(("\textsf{\(" * NumberList10(k)) * "\)}"), PointAxisList10(k) + (If[NumberList10(k) < 0, -0.17, 0], ((-lengthSeg)) / 2), false, true, 0, -1], k, 1, Length[NumberList10]) → CapAxis10
  48. Sequence(Segment[PointAxisList10(k) + (0, ((-lengthSeg)) / 2), PointAxisList10(k) + (0, lengthSeg / 2)], k, 1, Length[PointAxisList10]) → SegList10
  49. Sequence(Text[(((("\textsf{" * If[NumberList10(k) ∈ {-3, -1, 0, 2}, "\bold{", "{"]) * "\(") * NumberList10(k)) * "\)}}"), PointAxisList10(k) + (If[NumberList10(k) < 0, -0.17, 0], ((-lengthSeg)) / 2), false, true, 0, -1], k, 1, Length[NumberList10]) → l1
  50. Sequence(Text[(((((("\textsf{" * If[NumberList10(k) ∈ {-3, -1, 0, 2}, "\bold{", "{"]) * "\textcolor{") * If[NumberList10(k) ≟ -3, orange, NumberList10(k) ≟ -1, green, NumberList10(k) ≟ 0, olive, NumberList10(k) ≟ 2, blue, "#000000"]) * "}{\(") * NumberList10(k)) * "\)}}}"), PointAxisList10(k) + (If[NumberList10(k) < 0, -0.17, 0], ((-lengthSeg)) / 2 + If[NumberList10(k) < 0, -0.04, 0]), false, true, 0, -1], k, 1, Length[NumberList10]) → l2
  51. Last(PosListPoints, 6) → ParkPos
  52. Polygon({(0.38, 3.68), (3.88, 3.68), (3.88, 4.58), (0.38, 4.58)} + (10.68, 0.3)) → PolyHelp
  53. Polygon({(0.38, 3.68), (3.88, 3.68), (3.88, 4.58), (0.38, 4.58)} + (10.68, 0.3)) → PolyHelp8
  54. Segment(Origin7 + (((-lengthAxis1)) / 2 - edge, 0), Origin7 + (lengthAxis1 / 2 + edge, 0)) → Axis7
  55. Sequence(Segment[PointAxisList7(k) + (0, ((-lengthSeg)) / 2), PointAxisList7(k) + (0, lengthSeg / 2)], k, 1, Length[PointAxisList7]) → SegList7
  56. Sequence(Text[(("\textsf{\(" * NumberList7(k)) * "\)}"), PointAxisList7(k) + (If[NumberList7(k) < 0, -0.17, 0], ((-lengthSeg)) / 2), false, true, 0, -1], k, 1, Length[NumberList7]) → CapAxis7
  57. Last(PosListPoints7, 6) → ParkPos7
  58. PolyLine(PosSB, Corner[txt021, 2] + (-0.5, 0), Corner[txt021, 1] + (-0.05, 0), Corner[txt021, 4] + (-0.05, 0.1), Corner[txt021, 3] + (0, 0.1), Corner[txt021, 3] + (0, -0.5), PosSB) → sb02
  59. PolyLine(PosSB, Corner[txt031, 2] + (-0.5, 0), Corner[txt031, 1] + (-0.05, 0), Corner[txt031, 4] + (-0.05, 0.1), Corner[txt031, 3] + (0, 0.1), Corner[txt031, 3] + (0, -0.5), PosSB) → sb03
  60. Text((((("\textsf{\textcolor{" * color1) * "}{\small{\(") * number31) * "\)}}}"), Point31 + (If[number31 < 0, -0.12, 0], 0.05), false, true, 0, 1) → capP31
  61. Text((((("\textsf{\textcolor{" * color2) * "}{\small{\(") * number32) * "\)}}}"), Point32 + (If[number32 < 0, -0.12, 0], 0.05), false, true, 0, 1) → capP32
  62. Text((((("\textsf{\textcolor{" * color3) * "}{\small{\(") * number33) * "\)}}}"), Point33 + (If[number33 < 0, -0.12, 0], 0.05), false, true, 0, 1) → capP33
  63. Text((((("\textsf{\textcolor{" * color4) * "}{\small{\(") * number34) * "\)}}}"), Point34 + (If[number34 < 0, -0.12, 0], 0.05), false, true, 0, 1) → capP34
  64. Text((((("\textsf{\textcolor{" * color5) * "}{\small{\(") * number35) * "\)}}}"), Point35 + (If[number35 < 0, -0.12, 0], 0.05), false, true, 0, 1) → capP35
  65. Text((((("\textsf{\textcolor{" * color6) * "}{\small{\(") * number36) * "\)}}}"), Point36 + (If[number36 < 0, -0.12, 0], 0.05), false, true, 0, 1) → capP36
  66. If(step ≟ 3, Length[Unique[{Point31, Point32, Point33, Point34, Point35, Point36}]] < 6, step ≟ 7, Length[Unique[{Point71, Point72, Point73, Point74, Point75, Point76}]] < 6, false) → double
  67. PolyLine(PosSB, Corner[txt041, 2] + (-0.5, 0), Corner[txt041, 1] + (-0.05, 0), Corner[txt041, 4] + (-0.05, 0.1), Corner[txt041, 3] + (0, 0.1), Corner[txt041, 3] + (0, -0.5), PosSB) → sb04
  68. PolyLine(PosSB, Corner[txt051, 2] + (0, 0.5), Corner[txt051, 2], Corner[txt051, 1] + (-0.05, 0), Corner[txt051, 4] + (-0.05, 0.1), Corner[txt051, 3] + (0, 0.1), Corner[txt051, 3] + (0, -0.5), PosSB) → sb05
  69. PolyLine(PosSB, Corner[txt062, 2] + (-0.5, 0), Corner[txt062, 1] + (-0.05, 0), Corner[txt062, 4] + (-0.05, 0.1), Corner[txt062, 3] + (0, 0.1), Corner[txt062, 3] + (0, -0.5), PosSB) → sb06
  70. PolyLine(PosSB, Corner[txt071, 2] + (-0.5, 0), Corner[txt071, 1] + (-0.05, 0), Corner[txt071, 4] + (-0.05, 0.1), Corner[txt071, 3] + (0, 0.1), Corner[txt071, 3] + (0, -0.5), PosSB) → sb07
  71. Text((((("\textsf{\textcolor{" * color1) * "}{\small{\(") * number71) * "\)}}}"), Point71 + (If[number71 < 0, -0.12, 0], 0.05), false, true, 0, 1) → capP71
  72. Text((((("\textsf{\textcolor{" * color2) * "}{\small{\(") * number72) * "\)}}}"), Point72 + (If[number72 < 0, -0.12, 0], 0.05), false, true, 0, 1) → capP72
  73. Text((((("\textsf{\textcolor{" * color3) * "}{\small{\(") * number73) * "\)}}}"), Point73 + (If[number73 < 0, -0.12, 0], 0.05), false, true, 0, 1) → capP73
  74. Text((((("\textsf{\textcolor{" * color4) * "}{\small{\(") * number74) * "\)}}}"), Point74 + (If[number74 < 0, -0.12, 0], 0.05), false, true, 0, 1) → capP74
  75. Text((((("\textsf{\textcolor{" * color5) * "}{\small{\(") * number75) * "\)}}}"), Point75 + (If[number75 < 0, -0.12, 0], 0.05), false, true, 0, 1) → capP75
  76. Text((((("\textsf{\textcolor{" * color6) * "}{\small{\(") * number76) * "\)}}}"), Point76 + (If[number76 < 0, -0.12, 0], 0.05), false, true, 0, 1) → capP76
  77. PolyLine(PosSB, Corner[txt081, 2] + (-0.5, 0), Corner[txt081, 1] + (-0.05, 0), Corner[txt081, 4] + (-0.05, 0.1), Corner[txt081, 3] + (0, 0.1), Corner[txt081, 3] + (0, -0.5), PosSB) → sb08
  78. Sequence(Text["\textsf{>}", PosInputBoxes + ((k * 1.7), -0.225), false, true, 0, 0], k, 1, 5) → SymbList8
  79. PolyLine(PosSB, Corner[txt091, 2] + (0, 0.5), Corner[txt091, 2], Corner[txt091, 1] + (-0.05, 0), Corner[txt091, 4] + (-0.05, 0.1), Corner[txt091, 3] + (0, 0.1), Corner[txt091, 3] + (0, -0.5), PosSB) → sb09
  80. PolyLine(PosSB + (0, 0.25), Corner[txtInfo, 2] + (0, 0.5), Corner[txtInfo, 2], Corner[txtInfo, 1] + (-0.05, 0), Corner[txtInfo, 4] + (-0.05, 0.1), Corner[txtInfo, 3] + (0, 0.1), Corner[txtInfo, 3] + (0, -2.5), PosSB + (0, 0.25)) → sb10

AI 绘图提示语参考

绘制一个整数排序练习的交互式数轴教学图形。在画面中央水平方向画一条数轴，数轴上均匀标记从负八到正八的整数刻度，并在每个刻度处画出垂直的短刻度线。在数轴下方相应位置标记六个随机选取的1到10之间的整数点，每个点用圆圈圈出并在下方标注对应数字。图形下方从左到右排列六个文本输入框，每个输入框上方带有一个小于符号作为提示，表示学生需要在这些框中按从小到大的顺序填写刚才看到的六个数字的排序结果。图形最下方设置一个提交按钮用于检查答案是否正确。
以上提示语为根据原始绘图命令整理而来，仅供参考。