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分数操作与比较：GeoGebra教学范例

分数操作与比较：GeoGebra教学范例
几何画板及绘图内容加载中，请稍等……
2025-01-21 20:16
几何作图
所属专题 Rationale Zahlen & Arbeiten mit der Zahlengerade
本范例演示如何使用GeoGebra进行分数输入与提取操作，适用于小学高年级数学教学。核心数学概念包括有理数的比较与表示，以及分数在数轴上的位置。作图要点涉及Sequence、Join、Flatten、If等GeoGebra命令，以及Point、Textfield等对象。适合7-8年级学生使用，可用于课堂练习或在线学习平台。

GeoGebra 命令及参数

  1. Sequence(PStart + (k * (disP, 0)), k, 0, numberOfNumbers - 1) → AllPointsList
  2. Join({{1}, Shuffle[2…8]}) → CaseZStartList
  3. Flatten(Sequence[CaseZStartList, k, 1, 20]) → CaseZList
  4. If(example, numberStartList(1), numberStartList(CaseZ)) → numberStart
  5. If(example, numberStepList(1), numberStepList(CaseZ)) → numberStep
  6. Sequence(numberStart + (k * numberStep), k, 0, numberOfNumbers - 1) → AllNumbersList, {-7.5, -7, -6.5, -6, -5.5, -5, -4.5, -4, -3.5, -3, -2.5, -2, -1.5, -1, -0.5, 0, 0.5, 1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5, 5.5, 6, 6.5, 7, 7.5}
  7. If(example, 1, capStepList(CaseZ)) → capStep
  8. If(example, capStartList(1), capStartList(CaseZ)) → capStart
  9. Sequence(capStart + (k * capStep), k, 0, numberOfNumbers - 1, capDis) → CapNumbersList, {-7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23}
  10. Flatten(Sequence[CaseQStartList, k, 1, 50]) → CaseQList
  11. Remove(AllNumbersList, CapNumbersList) → NumberList1
  12. Sequence(If[k ≟ 1, RandomElement[KeepIf[abs(a) > 1 ∧ a ≠ -11 / 2 ∧ a ≠ 3 / 2, a, Element[NumberDrawList, CaseZList(1)]]], RandomElement[Element[NumberDrawList, CaseZList(k)]]], k, 1, 99) → NumberList
  13. Join({{StartPQ1}, AllPointsList}) → PointsQ1List
  14. Point(PointsQ1List) → PQ1
  15. If(selectedNumber < 0, SelectedIndex[dropdown01] ≟ 3, SelectedIndex[dropdown01] ∈ {1, 2}) → correctSign
  16. If(Defined[input1], input1 + input2 / input3 ≟ abs(selectedNumber), input2 / input3 ≟ abs(selectedNumber)) → correctNumber
  17. If(CaseQ ≟ 1, PQ1 ≟ SolPQ1, If[bruch, correctNumber ∧ correctSign, input ≟ selectedNumber]) → correct
  18. Sequence(Random[1, 10], i, 1, 10) → randomNumbers, {9, 5, 7, 9, 1, 1, 5, 10, 9, 7}
  19. Element(randomNumbers, Mod[questionCount, Length[randomNumbers]] + 1) → randomNumber
  20. Textfield(input) → inputBox
  21. Join({Sequence[Segment[Corner[4] + (RasterPixMat * ((k * RasterStepXY), 0)), Corner[4] + (RasterPixMat * ((k * RasterStepXY), RasterMaxY))], k, 0, RasterMaxX / RasterStepXY], Sequence[Segment[Corner[4] + (RasterPixMat * (0, (k * RasterStepXY))), Corner[4] + (RasterPixMat * (RasterMaxX, (k * RasterStepXY)))], k, 0, RasterMaxY / RasterStepXY]}) → RasterStrecken
  22. Join({Sequence[Text[UnicodeToLetter[65 + k], Midpoint[Corner[4] + (RasterPixMat * ((k * RasterStepXY), RasterMaxY)), Corner[4] + (RasterPixMat * (((k + 1) * RasterStepXY), RasterMaxY))], false, true, 0, -1], k, 0, RasterMaxX / RasterStepXY - 1], Sequence[Text[("" * k), Midpoint[Corner[4] + (RasterPixMat * (RasterMaxX, ((k - 1) * RasterStepXY))), Corner[4] + (RasterPixMat * (RasterMaxX, (k * RasterStepXY)))], false, true, 1, 0], k, 1, RasterMaxY / RasterStepXY]}) → RasterBeschriftung
  23. Sequence(Sequence[Corner[4] + (RasterPixMat * ((k * RasterStepXY), (m * RasterStepXY))), k, 0, RasterMaxX / RasterStepXY], m, 0, RasterMaxY / RasterStepXY) → RasterPunkte, {{(-0.3200000000000001, 10.360000000000001), (0.682358490566038, 10.360000000000001), (1.6847169811320761, 10.360000000000001), (2.6870754716981144, 10.360000000000001), (3.689433962264152, 10.360000000000001), (4.691792452830191, 10.360000000000001), (5.694150943396229, 10.360000000000001), (6.696509433962267, 10.360000000000001), (7.6988679245283045, 10.360000000000001), (8.701226415094343, 10.360000000000001), (9.703584905660382, 10.360000000000001), (10.70594339622642, 10.360000000000001), (11.708301886792459, 10.360000000000001), (12.710660377358497, 10.360000000000001), (13.713018867924534, 10.360000000000001), (14.715377358490572, 10.360000000000001), (15.71773584905661, 10.360000000000001), (16.720094339622648, 10.360000000000001)}, {(-0.3200000000000001, 9.35665551839465), (0.682358490566038, 9.35665551839465), (1.6847169811320761, 9.35665551839465), (2.6870754716981144, 9.35665551839465), (3.689433962264152, 9.35665551839465), (4.691792452830191, 9.35665551839465), (5.694150943396229, 9.35665551839465), (6.696509433962267, 9.35665551839465), (7.6988679245283045, 9.35665551839465), (8.701226415094343, 9.35665551839465), (9.703584905660382, 9.35665551839465), (10.70594339622642, 9.35665551839465), (11.708301886792459, 9.35665551839465), (12.710660377358497, 9.35665551839465), (13.713018867924534, 9.35665551839465), (14.715377358490572, 9.35665551839465), (15.71773584905661, 9.35665551839465), (16.720094339622648, 9.35665551839465)}, {(-0.3200000000000001, 8.353311036789298), (0.682358490566038, 8.353311036789298), (1.6847169811320761, 8.353311036789298), (2.6870754716981144, 8.353311036789298), (3.689433962264152, 8.353311036789298), (4.691792452830191, 8.353311036789298), (5.694150943396229, 8.353311036789298), (6.696509433962267, 8.353311036789298), (7.6988679245283045, 8.353311036789298), (8.701226415094343, 8.353311036789298), (9.703584905660382, 8.353311036789298), (10.70594339622642, 8.353311036789298), (11.708301886792459, 8.353311036789298), (12.710660377358497, 8.353311036789298), (13.713018867924534, 8.353311036789298), (14.715377358490572, 8.353311036789298), (15.71773584905661, 8.353311036789298), (16.720094339622648, 8.353311036789298)}, {(-0.3200000000000001, 7.349966555183947), (0.682358490566038, 7.349966555183947), (1.6847169811320761, 7.349966555183947), (2.6870754716981144, 7.349966555183947), (3.689433962264152, 7.349966555183947), (4.691792452830191, 7.349966555183947), (5.694150943396229, 7.349966555183947), (6.696509433962267, 7.349966555183947), (7.6988679245283045, 7.349966555183947), (8.701226415094343, 7.349966555183947), (9.703584905660382, 7.349966555183947), (10.70594339622642, 7.349966555183947), (11.708301886792459, 7.349966555183947), (12.710660377358497, 7.349966555183947), (13.713018867924534, 7.349966555183947), (14.715377358490572, 7.349966555183947), (15.71773584905661, 7.349966555183947), (16.720094339622648, 7.349966555183947)}, {(-0.3200000000000001, 6.346622073578595), (0.682358490566038, 6.346622073578595), (1.6847169811320761, 6.346622073578595), (2.6870754716981144, 6.346622073578595), (3.689433962264152, 6.346622073578595), (4.691792452830191, 6.346622073578595), (5.694150943396229, 6.346622073578595), (6.696509433962267, 6.346622073578595), (7.6988679245283045, 6.346622073578595), (8.701226415094343, 6.346622073578595), (9.703584905660382, 6.346622073578595), (10.70594339622642, 6.346622073578595), (11.708301886792459, 6.346622073578595), (12.710660377358497, 6.346622073578595), (13.713018867924534, 6.346622073578595), (14.715377358490572, 6.346622073578595), (15.71773584905661, 6.346622073578595), (16.720094339622648, 6.346622073578595)}, {(-0.3200000000000001, 5.343277591973243), (0.682358490566038, 5.343277591973243), (1.6847169811320761, 5.343277591973243), (2.6870754716981144, 5.343277591973243), (3.689433962264152, 5.343277591973243), (4.691792452830191, 5.343277591973243), (5.694150943396229, 5.343277591973243), (6.696509433962267, 5.343277591973243), (7.6988679245283045, 5.343277591973243), (8.701226415094343, 5.343277591973243), (9.703584905660382, 5.343277591973243), (10.70594339622642, 5.343277591973243), (11.708301886792459, 5.343277591973243), (12.710660377358497, 5.343277591973243), (13.713018867924534, 5.343277591973243), (14.715377358490572, 5.343277591973243), (15.71773584905661, 5.343277591973243), (16.720094339622648, 5.343277591973243)}, {(-0.3200000000000001, 4.339933110367892), (0.682358490566038, 4.339933110367892), (1.6847169811320761, 4.339933110367892), (2.6870754716981144, 4.339933110367892), (3.689433962264152, 4.339933110367892), (4.691792452830191, 4.339933110367892), (5.694150943396229, 4.339933110367892), (6.696509433962267, 4.339933110367892), (7.6988679245283045, 4.339933110367892), (8.701226415094343, 4.339933110367892), (9.703584905660382, 4.339933110367892), (10.70594339622642, 4.339933110367892), (11.708301886792459, 4.339933110367892), (12.710660377358497, 4.339933110367892), (13.713018867924534, 4.339933110367892), (14.715377358490572, 4.339933110367892), (15.71773584905661, 4.339933110367892), (16.720094339622648, 4.339933110367892)}, {(-0.3200000000000001, 3.3365886287625406), (0.682358490566038, 3.3365886287625406), (1.6847169811320761, 3.3365886287625406), (2.6870754716981144, 3.3365886287625406), (3.689433962264152, 3.3365886287625406), (4.691792452830191, 3.3365886287625406), (5.694150943396229, 3.3365886287625406), (6.696509433962267, 3.3365886287625406), (7.6988679245283045, 3.3365886287625406), (8.701226415094343, 3.3365886287625406), (9.703584905660382, 3.3365886287625406), (10.70594339622642, 3.3365886287625406), (11.708301886792459, 3.3365886287625406), (12.710660377358497, 3.3365886287625406), (13.713018867924534, 3.3365886287625406), (14.715377358490572, 3.3365886287625406), (15.71773584905661, 3.3365886287625406), (16.720094339622648, 3.3365886287625406)}, {(-0.3200000000000001, 2.3332441471571883), (0.682358490566038, 2.3332441471571883), (1.6847169811320761, 2.3332441471571883), (2.6870754716981144, 2.3332441471571883), (3.689433962264152, 2.3332441471571883), (4.691792452830191, 2.3332441471571883), (5.694150943396229, 2.3332441471571883), (6.696509433962267, 2.3332441471571883), (7.6988679245283045, 2.3332441471571883), (8.701226415094343, 2.3332441471571883), (9.703584905660382, 2.3332441471571883), (10.70594339622642, 2.3332441471571883), (11.708301886792459, 2.3332441471571883), (12.710660377358497, 2.3332441471571883), (13.713018867924534, 2.3332441471571883), (14.715377358490572, 2.3332441471571883), (15.71773584905661, 2.3332441471571883), (16.720094339622648, 2.3332441471571883)}, {(-0.3200000000000001, 1.329899665551837), (0.682358490566038, 1.329899665551837), (1.6847169811320761, 1.329899665551837), (2.6870754716981144, 1.329899665551837), (3.689433962264152, 1.329899665551837), (4.691792452830191, 1.329899665551837), (5.694150943396229, 1.329899665551837), (6.696509433962267, 1.329899665551837), (7.6988679245283045, 1.329899665551837), (8.701226415094343, 1.329899665551837), (9.703584905660382, 1.329899665551837), (10.70594339622642, 1.329899665551837), (11.708301886792459, 1.329899665551837), (12.710660377358497, 1.329899665551837), (13.713018867924534, 1.329899665551837), (14.715377358490572, 1.329899665551837), (15.71773584905661, 1.329899665551837), (16.720094339622648, 1.329899665551837)}, {(-0.3200000000000001, 0.3265551839464855), (0.682358490566038, 0.3265551839464855), (1.6847169811320761, 0.3265551839464855), (2.6870754716981144, 0.3265551839464855), (3.689433962264152, 0.3265551839464855), (4.691792452830191, 0.3265551839464855), (5.694150943396229, 0.3265551839464855), (6.696509433962267, 0.3265551839464855), (7.6988679245283045, 0.3265551839464855), (8.701226415094343, 0.3265551839464855), (9.703584905660382, 0.3265551839464855), (10.70594339622642, 0.3265551839464855), (11.708301886792459, 0.3265551839464855), (12.710660377358497, 0.3265551839464855), (13.713018867924534, 0.3265551839464855), (14.715377358490572, 0.3265551839464855), (15.71773584905661, 0.3265551839464855), (16.720094339622648, 0.3265551839464855)}, {(-0.3200000000000001, -0.6767892976588659), (0.682358490566038, -0.6767892976588659), (1.6847169811320761, -0.6767892976588659), (2.6870754716981144, -0.6767892976588659), (3.689433962264152, -0.6767892976588659), (4.691792452830191, -0.6767892976588659), (5.694150943396229, -0.6767892976588659), (6.696509433962267, -0.6767892976588659), (7.6988679245283045, -0.6767892976588659), (8.701226415094343, -0.6767892976588659), (9.703584905660382, -0.6767892976588659), (10.70594339622642, -0.6767892976588659), (11.708301886792459, -0.6767892976588659), (12.710660377358497, -0.6767892976588659), (13.713018867924534, -0.6767892976588659), (14.715377358490572, -0.6767892976588659), (15.71773584905661, -0.6767892976588659), (16.720094339622648, -0.6767892976588659)}, {(-0.3200000000000001, -1.6801337792642173), (0.682358490566038, -1.6801337792642173), (1.6847169811320761, -1.6801337792642173), (2.6870754716981144, -1.6801337792642173), (3.689433962264152, -1.6801337792642173), (4.691792452830191, -1.6801337792642173), (5.694150943396229, -1.6801337792642173), (6.696509433962267, -1.6801337792642173), (7.6988679245283045, -1.6801337792642173), (8.701226415094343, -1.6801337792642173), (9.703584905660382, -1.6801337792642173), (10.70594339622642, -1.6801337792642173), (11.708301886792459, -1.6801337792642173), (12.710660377358497, -1.6801337792642173), (13.713018867924534, -1.6801337792642173), (14.715377358490572, -1.6801337792642173), (15.71773584905661, -1.6801337792642173), (16.720094339622648, -1.6801337792642173)}}
  24. Translate(imgChilliGrau1, Vector[(1 * Vector[((0.8 * dimChilli), 0)])]) → imgChilliGrau2
  25. Translate(imgChilliRot1, Vector[(1 * Vector[((0.8 * dimChilli), 0)])]) → imgChilliRot2
  26. Translate(imgChilliRot1, Vector[(2 * Vector[((0.8 * dimChilli), 0)])]) → imgChilliRot3
  27. Segment(PStart + ((-disEnd), 0), PStart + (((numberOfNumbers - 1) * disP) + disEnd, 0)) → Zahlengerade
  28. Sequence(Segment[PStart + ((k * disP), If[IsInteger[AllNumbersList(k + 1)], segLength1, segLength2]), PStart + ((k * disP), (-If[IsInteger[AllNumbersList(k + 1)], segLength1, segLength2]))], k, 0, numberOfNumbers - 1) → AllSegList
  29. Unique(Sequence[IndexOf[true, Sequence[IsInteger[AllNumbersList(k)], k, 1, numberOfNumbers], m], m, 1, numberOfNumbers]) → AllIntegersIndexList
  30. KeepIf(IsInteger[a], a, AllNumbersList) → AllIntegersList
  31. Remove(1…numberOfNumbers, AllIntegersIndexList) → AllNotIntegersIndexList
  32. Remove(AllNumbersList, AllIntegersList) → AllNotIntegersList
  33. Sequence(abs(Numerator[AllNumbersList(k)]), k, 1, numberOfNumbers) → AllNumeratorsList, {15, 7, 13, 6, 11, 5, 9, 4, 7, 3, 5, 2, 3, 1, 1, 0, 1, 1, 3, 2, 5, 3, 7, 4, 9, 5, 11, 6, 13, 7, 15}
  34. Sequence(Denominator[AllNumbersList(k)], k, 1, numberOfNumbers) → AllDenominatorsList
  35. Sequence(If[AllNumbersList(k) < 0, "\(-\)", ""], k, 1, numberOfNumbers) → AllSignsTxtList
  36. Sequence((ReplaceAll[(AllSignsTxtList(k) * abs(AllNumbersList(k))), ".", ","] * "\vphantom{,}"), k, 1, numberOfNumbers) → AllTxtD1
  37. Sequence(((AllSignsTxtList(k) * If[k ∈ AllIntegersIndexList, ("" * abs(AllNumbersList(k))), (((("\dfrac{" * AllNumeratorsList(k)) * "}{") * AllDenominatorsList(k)) * "}")]) * "\vphantom{\dfrac{1}{2}}"), k, 1, numberOfNumbers) → AllTxtD2
  38. Sequence(Text[If[IsInteger[AllNumbersList(k)], (("\textsf{" * AllTxtD1(k)) * "}"), ""], AllPointsList(k) + (If[AllNumbersList(k) < 0, -0.166, 0], (-segLength1)), false, true, 0, -1], k, 1, numberOfNumbers) → TxtIntegers
  39. Sequence(markStart + (k * markStep), k, 0, numberOfNumbers - 1, markDis) → MarkNumbersList, {-7.5, -7, -6.5, -6, -5.5, -5, -4.5, -4, -3.5, -3, -2.5, -2, -1.5, -1, -0.5, 0, 0.5, 1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5, 5.5, 6, 6.5, 7, 7.5, 8, 8.5, 9, 9.5, 10, 10.5, 11, 11.5, 12, 12.5, 13, 13.5, 14, 14.5, 15, 15.5, 16, 16.5, 17, 17.5, 18, 18.5, 19, 19.5, 20, 20.5, 21, 21.5, 22, 22.5}
  40. KeepIf(a ≠ "", a, Sequence[Text[If[Defined[IndexOf[AllNumbersList(k), CapNumbersList]], (("\textsf{" * AllTxtD1(k)) * "}"), ""], AllPointsList(k) + (If[AllNumbersList(k) < 0, -0.166, 0], (-segLength1)), false, true, 0, -1], k, 1, numberOfNumbers]) → TxtDec
  41. Remove(AllNumbersList, MarkNumbersList) → NumberList2
  42. Text("\textsf{Lösung:}", PosSolution + (0, 0), false, true, 0, -1) → txtSolution2
  43. Circle(PQ1, radiusFB) → circleFB
  44. Segment(AllPointsList(IndexOf[selectedNumber, AllNumbersList]) + (0, segLength1 + 0.2), AllPointsList(IndexOf[selectedNumber, AllNumbersList]) + (0, segLength1 + 1.25)) → segSolution
  45. If(IndexOf[selectedNumber, AllNumbersList] ≤ 6, Segment[AllPointsList(numberOfNumbers - 1) + disHint, AllPointsList(numberOfNumbers) + disHint], Segment[AllPointsList(1) + disHint, AllPointsList(2) + disHint]) → segHint
  46. Textfield(input1) → InputBox1
  47. Textfield(input2) → InputBox2
  48. Textfield(input3) → InputBox3
  49. Sequence(abs(Numerator[Mod[AllNumbersList(k), 1]]), k, 1, numberOfNumbers) → AllNumeratorsList2, {1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1}
  50. Sequence(RandomElement[If[-1 < NumberList(k) < 1, {2}, {2, 3}]], k, 1, 100) → DarstellungList, {2, 3, 3, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 3, 2, 3, 3, 3, 2}
  51. Sequence(((AllSignsTxtList(k) * If[k ∈ AllIntegersIndexList, ("" * abs(AllNumbersList(k))), (((((If[AllNumeratorsList2(k) ≠ 0, If[AllNumbersList(k) < 0, (("" * abs(ceil(AllNumbersList(k)))) * "\:"), (("" * abs(floor(AllNumbersList(k)))) * "\:")]] * "\dfrac{") * AllNumeratorsList2(k)) * "}{") * AllDenominatorsList(k)) * "}")]) * "\vphantom{\dfrac{1}{2}}"), k, 1, numberOfNumbers) → AllTxtD3
  52. If(CaseQ ≟ 1, Defined[IndexOf[PQ1, AllPointsList]], If[¬bruch, Defined[input] ∧ (¬isDecimal), (¬isDecimal) ∧ NoMinus ∧ Defined[input2] ∧ Defined[input3]]) → clickableBtnValidate
  53. Segment(Midpoint[Corner[txtZiehMich, 1], Corner[txtZiehMich, 4]] + (0.1 * Vector[Midpoint[Corner[txtZiehMich, 1], Corner[txtZiehMich, 4]], StartPQ1]), Midpoint[Corner[txtZiehMich, 1], Corner[txtZiehMich, 4]] + (0.6 * Vector[Midpoint[Corner[txtZiehMich, 1], Corner[txtZiehMich, 4]], StartPQ1])) → segZiehMich
  54. Text((("\textsf{\bold{\textcolor{black}{" * If[CaseZ ≟ 1 ∨ CaseZ ≟ 2, "\frac{1}{2}", CaseZ ≟ 3, "\frac{1}{4}", CaseZ ≟ 4, "\frac{1}{5}", CaseZ ≟ 5, "\frac{1}{10}", CaseZ ≟ 6, "\frac{1}{3}", CaseZ ≟ 7, "\frac{1}{6}", "\frac{1}{8}"]) * "}}}"), Midpoint[segHint] + (0, segLength1 + 0.45), false, true, 0, 0) → CapHint
  55. If(CaseQ ≟ 1, markedNumber ≟ (-selectedNumber), correctNumber ∧ (¬correctSign)) → isTypicalError
  56. Text((("\textsf{\bold{" * If[darstellung ≟ 1, txtD1, darstellung ≟ 2, txtD2, txtD3]) * "}}"), PosSolution + (If[selectedNumber < 0, -0.166, 0], -0.75), false, true, 0, -1) → txtSolution1
  57. If(abs(selectedNumber) < 1, (txtD2 * ""), ((txtD2 * " = ") * txtD3)) → txtSolutionAlternative
  58. Textfield() → InputBoxEx11
  59. Textfield() → InputBoxEx12
  60. Textfield() → InputBoxEx13
  61. Textfield() → InputBoxEx21
  62. Textfield() → InputBoxEx22
  63. Textfield() → InputBoxEx23
  64. Sequence(((AllSignsTxtList(k) * If[k ∈ AllIntegersIndexList, ("" * abs(AllNumbersList(k))), (((((If[AllNumeratorsList2(k) ≠ 0, If[AllNumbersList(k) < 0, If[abs(ceil(AllNumbersList(k))) ≠ 0, (("" * abs(ceil(AllNumbersList(k)))) * "\:"), ""], If[abs(floor(AllNumbersList(k))) ≠ 0, (("" * abs(floor(AllNumbersList(k)))) * "\:"), ""]], ""] * "\dfrac{") * 5) * "}{") * 10) * "}")]) * "\vphantom{\dfrac{1}{2}}"), k, 1, numberOfNumbers) → AllTxtD35
  65. KeepIf(a ≠ "", a, Sequence[Text[If[Defined[IndexOf[AllNumbersList(k), CapNumbersList]], (("\textsf{" * AllTxtD35(k)) * "}"), ""], AllPointsList(k) + (If[AllNumbersList(k) < 0, -0.166, 0], (-segLength1)), false, true, 0, -1], k, 1, numberOfNumbers]) → Txt05
  66. KeepIf(a > 0, a, Sequence[Segment[PStart + ((k * disP), If[Defined[IndexOf[AllNumbersList(k + 1), MarkNumbersList]], If[AllNumbersList(k + 1) ≟ 0, segLength0, IsInteger[AllNumbersList(k + 1)], segLength1, segLength2], 0]), PStart + ((k * disP), (-If[Defined[IndexOf[AllNumbersList(k + 1), MarkNumbersList]], If[AllNumbersList(k + 1) ≟ 0, segLength0, IsInteger[AllNumbersList(k + 1)], segLength1, segLength2], 0]))], k, 0, numberOfNumbers - 1]) → SegMarkList
  67. Text((("\textsf{\bold{{" * If[darstellung ≟ 1, txtD1, darstellung ≟ 2, txtD2, txtD3]) * "}}}"), PQ1 + (If[selectedNumber < 0, -0.166, 0], segLength1 + 0), false, true, 0, 1) → CapPQ1

AI 绘图提示语参考

画一个包含有理数比较和表示的图形，包括一个数轴和一个分数图形。数轴上标注有理数，分数图形中包含有理数的分子和分母。图形中包含一个圆形标记，表示一个特定的有理数。
以上提示语为根据原始绘图命令整理而来，仅供参考。