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Zahlenmauer：小学乘法练习与图形作图

Zahlenmauer：小学乘法练习与图形作图
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2023-09-06 19:09
所属专题 Wiederholung: Rechnen mit Dezimalzahlen und Brüchen
本范例演示如何通过GeoGebra工具创建乘法练习题，涉及非负小数乘法运算。核心数学概念包括乘法运算规则、数列生成与随机数应用。作图要点包括使用Textfield、Sequence、Polygon等命令生成输入框和随机数，Point、If等命令控制条件判断。适合小学五年级至六年级学生，用于巩固乘法计算能力与图形化数学思维。

GeoGebra 命令及参数

  1. Textfield(inputd1) → InputBoxD1
  2. Sequence(Random[1, 3], m, 1, 110) → randomNosForA2, {3, 1, 1, 2, 2, 3, 3, 1, 3, 3, 2, 2, 3, 2, 3, 2, 1, 2, 1, 3, 2, 2, 2, 2, 1, 1, 3, 3, 3, 2, 2, 1, 1, 3, 1, 1, 3, 2, 3, 2, 1, 1, 3, 3, 1, 2, 2, 1, 1, 3, 1, 3, 2, 3, 2, 1, 1, 2, 1, 2, 2, 1, 2, 3, 2, 2, 3, 1, 1, 3, 1, 3, 2, 2, 1, 2, 2, 3, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 1, 3, 2, 2, 2, 2, 3, 2}
  3. Zip(RandomElement[{1, 2, 3} \ {m}], m, randomNosForA2) → randomNosForA3
  4. Textfield(inputc2) → InputBoxC2
  5. Textfield(inputc1) → InputBoxC1
  6. Textfield(inputb3) → InputBoxB3
  7. Textfield(inputb2) → InputBoxB2
  8. Textfield(inputb1) → InputBoxB1
  9. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, rectangleCorrectS3, rectangleCorrectS4, rectangleCorrectS2, rectangleCorrectS1
  10. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForX, {6, 1, 2, 6, 9, 0, 2, 2, 9, 8, 9, 9, 2, 9, 5, 6, 1, 1, 5, 5, 10, 2, 6, 6, 6, 3, 4, 10, 3, 6, 5, 7, 10, 9, 3, 1, 3, 0, 7, 9, 6, 4, 6, 5, 7, 5, 2, 8, 1, 2, 9, 7, 6, 4, 5, 1, 9, 9, 9, 4, 1, 10, 1, 9, 1, 8, 9, 0, 6, 7, 7, 4, 3, 4, 8, 1, 9, 8, 4, 8, 8, 7, 4, 0, 8, 2, 7, 2, 5, 4, 7, 9, 0, 3, 2, 6, 2, 8, 7, 3}
  11. Element(randomNosForX, Mod[questionCount, 100] + 1) → numX
  12. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForY, {9, 7, 9, 5, 7, 1, 3, 9, 7, 8, 0, 3, 3, 8, 7, 10, 9, 8, 4, 10, 9, 10, 6, 1, 6, 2, 10, 4, 1, 8, 0, 7, 2, 10, 0, 4, 3, 10, 1, 8, 9, 2, 9, 3, 4, 4, 6, 0, 3, 9, 9, 5, 3, 9, 10, 7, 9, 3, 8, 10, 4, 9, 5, 9, 1, 1, 6, 7, 10, 4, 5, 8, 6, 9, 1, 10, 5, 6, 8, 0, 0, 1, 0, 1, 6, 6, 7, 9, 5, 9, 10, 2, 8, 10, 3, 8, 8, 7, 9, 5}
  13. Element(randomNosForY, Mod[questionCount, 100] + 1) → numY
  14. Append(true, Sequence[If[randomNosForX(i) ≟ randomNosForX(i - 1), false, true], i, 2, 100]) → stayX
  15. Append(true, Sequence[If[randomNosForY(i) ≟ randomNosForY(i - 1), false, true], i, 2, 100]) → stayY
  16. Remove(Sequence[If[stayX(i), randomNosForX(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForXwithoutRepeat
  17. Remove(Sequence[If[stayY(i), randomNosForY(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForYwithoutRepeat
  18. Element(randomNosForXwithoutRepeat, Mod[questionCount, Length[randomNosForXwithoutRepeat]] + 1) → numXwithoutRepeat
  19. Element(randomNosForYwithoutRepeat, Mod[questionCount, Length[randomNosForYwithoutRepeat]] + 1) → numYwithoutRepeat
  20. Point(Line[A, xAxis]) → B
  21. If(correctd, 4, If[correctc, 3, If[correctb, 2, 1]]) → step
  22. Point(Line[C, yAxis]) → F
  23. Point(Line[C, yAxis]) → H
  24. Point(Line[C, yAxis]) → G
  25. Segment(L, M) → f
  26. Segment(N, O) → g