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找错误！运算顺序与括号规则互动练习

找错误！运算顺序与括号规则互动练习
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2024-03-06 15:41
函数数列不等式滑块动画函数图像
所属专题 Bruchzahlen - Verbindung der Grundrechnungsarten
该范例是一个面向5-6年级学生的数学互动练习，旨在通过找出算式中的错误来巩固运算顺序（括号、先乘除后加减）规则。它演示了如何利用GeoGebra的动态交互功能，随机生成包含运算顺序错误的题目，并让学生输入正确答案或指出错误位置。核心数学概念包括四则混合运算的优先级、括号的使用以及运算顺序的判定。作图要点方面，构造摘要显示使用了Join、Point、Polygon、Circle、Shuffle、Element、Append、Remove、Textfield、If、LaTeX、Defined、Line、Intersect、Tangent、Semicircle、Sequence等命令，并涉及多个对象如输入框（input1-input8）、随机名称列表、答案列表、几何图形（圆、多边形、切线）等，实现了题目的随机生成、答案验证和可视化反馈。适合小学高年级或初中低年级学生作为课堂练习或家庭作业，也可用于教师演示运算顺序规则。

GeoGebra 命令及参数

  1. Join(Sequence[Shuffle[Sequence[1, 5]], m, 1, 20]) → randomNames
  2. Join(Sequence[Shuffle[Sequence[1, maxexnum]], m, 1, 100 / maxexnum + 10]) → listExnum
  3. Point(Line[F, xAxis]) → B
  4. PointIn(Polygon[A, (x(A), y(B)), B, (x(B), y(A))]) → Light
  5. Polygon(A, (x(A), y(F)), F, (x(F), y(A))) → v2, f, g, h, i
  6. Circle(Light, radius) → p
  7. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, rectangleCorrectS3, rectangleCorrectS4, rectangleCorrectS2, rectangleCorrectS1
  8. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForX, {5, 7, 8, 8, 1, 1, 3, 6, 2, 9, 4, 10, 1, 5, 8, 3, 9, 8, 9, 1, 6, 0, 5, 7, 8, 8, 1, 0, 0, 3, 4, 5, 4, 5, 6, 9, 8, 0, 10, 4, 7, 3, 2, 6, 6, 8, 2, 3, 4, 6, 0, 3, 5, 7, 10, 10, 0, 8, 3, 3, 6, 10, 4, 9, 4, 9, 9, 10, 3, 6, 3, 3, 1, 2, 2, 5, 9, 0, 1, 1, 6, 4, 3, 10, 10, 6, 7, 2, 6, 9, 3, 3, 5, 2, 4, 2, 8, 4, 7, 4}
  9. Element(randomNosForX, Mod[questionCount, 100] + 1) → numX
  10. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForY, {2, 10, 3, 2, 4, 0, 9, 0, 6, 5, 2, 6, 3, 4, 10, 9, 9, 2, 8, 1, 9, 0, 1, 3, 8, 1, 6, 0, 1, 6, 7, 10, 0, 1, 9, 5, 1, 2, 4, 6, 5, 8, 3, 9, 10, 6, 8, 0, 8, 2, 4, 7, 8, 6, 4, 0, 10, 9, 5, 0, 5, 9, 3, 0, 2, 4, 2, 6, 8, 2, 4, 9, 2, 5, 5, 4, 10, 0, 8, 0, 6, 7, 3, 4, 5, 7, 5, 2, 10, 6, 10, 8, 5, 10, 8, 10, 7, 7, 2, 7}
  11. Element(randomNosForY, Mod[questionCount, 100] + 1) → numY
  12. Append(true, Sequence[If[randomNosForX(i) ≟ randomNosForX(i - 1), false, true], i, 2, 100]) → stayX
  13. Append(true, Sequence[If[randomNosForY(i) ≟ randomNosForY(i - 1), false, true], i, 2, 100]) → stayY
  14. Remove(Sequence[If[stayX(i), randomNosForX(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForXwithoutRepeat
  15. Remove(Sequence[If[stayY(i), randomNosForY(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForYwithoutRepeat
  16. Element(randomNosForXwithoutRepeat, Mod[questionCount, Length[randomNosForXwithoutRepeat]] + 1) → numXwithoutRepeat
  17. Element(randomNosForYwithoutRepeat, Mod[questionCount, Length[randomNosForYwithoutRepeat]] + 1) → numYwithoutRepeat
  18. Element(listNames, numNames) → name
  19. Circle(Light, radius) → pr
  20. Textfield(input3) → Eingabefeld3
  21. Textfield(input4) → Eingabefeld4
  22. Textfield(input5) → Eingabefeld5
  23. Textfield(input6) → Eingabefeld6
  24. Textfield(input7) → Eingabefeld7
  25. Textfield(input8) → Eingabefeld8
  26. Textfield(input1) → Eingabefeld1
  27. Textfield(input2) → Eingabefeld2
  28. If(correct2 ∧ (¬kurzen), resy - 118, resy - 160) → posSol2
  29. If(correct2 ∧ (¬kurzen), resy - 250, resy - 300) → posSol2b
  30. LaTeX(exnum, true, true) → Text38
  31. If(exnum ≟ 6, input7, input5) → inputsol1
  32. If(exnum ≟ 6, input8, input6) → inputsol2
  33. Defined((input1 * input2)) → fixed2
  34. If(exnum ∈ {2, 4, 5}, 520, If[exnum ∈ {3, 6}, 428, 488]) → ykurzen
  35. Point(Line[P0, xAxis]) → P1
  36. Point(Line[P0, xAxis]) → P2
  37. Point(Line[P0, xAxis]) → P3
  38. Point(Line[P0, xAxis]) → P4
  39. Point(Line[P0, xAxis]) → P5
  40. Point(Line[P0, xAxis]) → P6
  41. Element({P1, P2, P3, P4, P5, P6}, exnum) → P
  42. Line(Center[p], L1) → light
  43. Intersect(Circle[L1, 1.5], light, 2) → E
  44. Intersect(Circle[L1, 0.5], light, 2) → D
  45. Tangent(E, p) → t1, t2
  46. Intersect(Circle[L1, 0.5], light, 1) → C
  47. Semicircle(Intersect[p, t1], Intersect[p, t2]) → c
  48. Circle(M11, radius2) → k11
  49. Circle(M12, radius2) → k12
  50. Circle(M13, radius2) → k13
  51. Circle(M14, radius2) → k14
  52. Circle(M15, radius2) → k15
  53. Circle(M16, radius2) → k16
  54. Circle(M21, radius2) → k21
  55. Circle(M22, radius2) → k22
  56. Circle(M23, radius2) → k23
  57. Circle(M31, radius2) → k31
  58. Circle(M32, radius2) → k32
  59. Circle(M11, radius2) → k41
  60. Circle(M42, radius2) → k42
  61. Circle(M51, radius2) → k51
  62. Circle(M52, radius2) → k52
  63. Circle(M53, radius2) → k53
  64. Circle(M61, radius2) → k61
  65. Circle(M62, radius2) → k62
  66. Element({correctK1, correctK2, correctK3, correctK4, correctK5, correctK6}, exnum) → correct
  67. If(sol ≥ 1, green, white) → color1
  68. If(sol ≥ 2, green, white) → color2
  69. If(sol ≥ 3, green, white) → color3
  70. If(sol ≥ 4, green, white) → color4
  71. If(sol ≥ 5, green, white) → color5
  72. If(sol ≥ 6, green, white) → color6
  73. If(sol ≥ 7, green, white) → color7
  74. Element({6, 8, 5, 7, 7, 6}, exnum) → maxsol
  75. Sequence(M + (0, (m * abssol)), m, 0, maxsol) → listPunktSol
  76. If(sol ≥ 8, green, white) → color8

AI 绘图提示语参考

这是一个用于数学运算顺序练习的图形界面，包含多个输入框用于填写随机数字，以及一个表达式展示区域。图形中会绘制圆、多边形、切线、半圆等几何元素，用以直观展示运算优先级和括号的作用。构造顺序为：先创建输入区域和表达式区域，然后生成随机数字序列，接着绘制几何图形，最后添加反馈和答案区域。该图形旨在帮助学生通过视觉化方式理解PEMDAS或BODMAS规则，并识别常见错误。
以上提示语为根据原始绘图命令整理而来，仅供参考。