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Marmelade kochen：比例与几何作图练习

Marmelade kochen：比例与几何作图练习
几何画板及绘图内容加载中，请稍等……
2023-08-03 16:33
所属专题 Wiederholung: Direkte und Indirekte Proportionalität Direkte Proportionalität
Marmelade kochen是一个几何作图练习范例，演示如何通过比例关系构造图形。核心数学概念包括直接与间接比例、几何作图技巧和坐标几何。作图要点涉及使用GeoGebra命令如Join、Polygon和Shuffle来创建图形，适合小学5-6年级学生用于比例与几何学习。

GeoGebra 命令及参数

  1. Join(Sequence[Shuffle[Sequence[m, m, 1, maxexnum]], i, 1, 15]) → listExnums
  2. Join(Sequence[Shuffle[{0, 1}], i, 1, 115]) → listkg
  3. Join(Sequence[Shuffle[Sequence[m, m, 3, 15]], i, 1, 15]) → randomNosForX
  4. Zip(RandomElement[Sequence[3, 30] \ {m}], m, randomNosForX) → randomNosForZ
  5. Element(randomNosForZ, Mod[questionCount, 100] + 1) → numZ
  6. If(isKG, numsKG(exnum), numsML(exnum)) → numY
  7. RandomElement({1, 2, 3, 4, 5, 6}) → excount1
  8. Element(randomNosForX, Mod[questionCount, 100] + 1) → numX
  9. Textfield(input1) → InputBox1
  10. Textfield(input2) → InputBox2
  11. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, rectangleCorrectS3, rectangleCorrectS4, rectangleCorrectS2, rectangleCorrectS1
  12. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForY, {6, 9, 9, 7, 10, 8, 0, 6, 1, 8, 1, 4, 6, 7, 5, 3, 0, 5, 1, 1, 9, 7, 2, 2, 6, 0, 10, 6, 7, 6, 8, 2, 3, 4, 0, 0, 9, 3, 0, 6, 2, 2, 5, 9, 5, 0, 0, 7, 1, 6, 7, 3, 9, 9, 9, 0, 2, 1, 10, 1, 4, 10, 9, 9, 7, 7, 5, 6, 8, 5, 1, 1, 5, 2, 3, 2, 8, 1, 10, 5, 0, 2, 0, 10, 5, 3, 6, 1, 4, 5, 8, 6, 0, 0, 8, 8, 6, 6, 0, 10}
  13. Append(true, Sequence[If[randomNosForX(i) ≟ randomNosForX(i - 1), false, true], i, 2, 100]) → stayX
  14. Append(true, Sequence[If[randomNosForY(i) ≟ randomNosForY(i - 1), false, true], i, 2, 100]) → stayY
  15. Remove(Sequence[If[stayX(i), randomNosForX(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForXwithoutRepeat
  16. Remove(Sequence[If[stayY(i), randomNosForY(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForYwithoutRepeat
  17. Element(randomNosForXwithoutRepeat, Mod[questionCount, Length[randomNosForXwithoutRepeat]] + 1) → numXwithoutRepeat
  18. Element(randomNosForYwithoutRepeat, Mod[questionCount, Length[randomNosForYwithoutRepeat]] + 1) → numYwithoutRepeat
  19. Semicircle(A2, A) → c
  20. Semicircle(B, B2) → d
  21. Point(Line[U, xAxis]) → V
  22. NumberSeparationComma(numXY) → TextXY
  23. NumberSeparationComma(sol) → TextSol
  24. Textfield(input3) → InputBox3
  25. Textfield(input4) → InputBox4
  26. Textfield(input5) → InputBox5
  27. Textfield(input6) → InputBox6
  28. Textfield(input7) → InputBox7
  29. Textfield(input8) → InputBox8
  30. Textfield(input9) → InputBox9
  31. Semicircle(A3, A2 + (0, circleabs)) → e
  32. Semicircle(B2 + (0, circleabs), B3) → f
  33. Point(Line[C, xAxis]) → D
  34. Point(Line[I, xAxis]) → J
  35. Point(Line[G, xAxis]) → H
  36. Point(Line[E, xAxis]) → F
  37. Point(Line[O, xAxis]) → P
  38. SpeechBubbleRight(Q, 6, 0.5) → Vieleck1