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角度大小分类匹配练习

角度大小分类匹配练习
几何画板及绘图内容加载中，请稍等……
2024-03-20 21:24
角几何作图函数图像
所属专题 Besondere Winkelpaare
本范例是一个互动式角度分类练习。①演示内容：学生在界面上将不同大小的角与对应的角类型（锐角、直角、钝角、平角、优角、圆周角）进行匹配。②核心数学概念：角的定义与分类、角度大小的量化（度数制）。③作图要点：利用Shuffle命令随机打乱选项顺序，通过Textfield和Text命令显示题目与选项，使用If命令判断答案正确性，结合Polygon绘制角度示意图，运用Sequence和Length控制题目流程。④适合学段：5-6年级（初中预备班），可用于课堂练习或课后巩固，帮助学生掌握角的概念和分类标准。

GeoGebra 命令及参数

  1. Polygon(allowedRect4, allowedRect3, allowedRect2, allowedRect1) → allowedRect, a_1, b, c, d
  2. Max(widthsOptionsR) → widthR
  3. Max(heightsOptionsR) → heightR
  4. Max(heightR, Max[heightsOptionsL]) → heightL
  5. Max(widthsOptionsL) → widthL
  6. If(isShuffleOptionsLechts, Shuffle[1…numOptionsR], 1…numOptionsR) → indizesOptionsRechts
  7. If(isShuffleOptionsLinks, Shuffle[1…numOptionsL], 1…numOptionsL) → indizesOptionsLinks
  8. Textfield(input1) → InputBox1
  9. Textfield(input2) → InputBox2
  10. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, rectangleCorrectS3, rectangleCorrectS4, rectangleCorrectS2, rectangleCorrectS1
  11. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForX, {1, 3, 9, 9, 3, 7, 5, 2, 8, 6, 2, 6, 8, 4, 2, 0, 0, 9, 4, 4, 8, 10, 9, 0, 4, 10, 6, 6, 8, 0, 0, 7, 2, 5, 5, 2, 4, 1, 1, 2, 9, 3, 6, 6, 9, 0, 10, 6, 4, 6, 2, 5, 8, 4, 1, 2, 2, 6, 10, 9, 3, 2, 0, 0, 9, 5, 0, 9, 8, 3, 5, 3, 10, 4, 10, 3, 8, 6, 4, 9, 6, 10, 10, 8, 5, 10, 10, 10, 8, 1, 6, 0, 10, 9, 1, 6, 10, 3, 1, 0}
  12. Element(randomNosForX, Mod[questionCount, 100] + 1) → numX
  13. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForY, {8, 7, 2, 1, 5, 3, 9, 10, 10, 5, 9, 5, 5, 5, 1, 6, 5, 5, 5, 5, 10, 8, 4, 5, 3, 5, 1, 2, 10, 6, 0, 10, 1, 6, 10, 10, 10, 10, 9, 10, 2, 5, 9, 3, 3, 2, 7, 0, 6, 3, 3, 9, 4, 3, 9, 2, 3, 8, 6, 0, 9, 5, 3, 0, 1, 0, 4, 9, 2, 3, 2, 2, 2, 5, 5, 8, 3, 7, 5, 7, 6, 9, 6, 2, 5, 5, 10, 10, 9, 1, 7, 5, 10, 5, 9, 10, 9, 4, 0, 10}
  14. Element(randomNosForY, Mod[questionCount, 100] + 1) → numY
  15. Append(true, Sequence[If[randomNosForX(i) ≟ randomNosForX(i - 1), false, true], i, 2, 100]) → stayX
  16. Append(true, Sequence[If[randomNosForY(i) ≟ randomNosForY(i - 1), false, true], i, 2, 100]) → stayY
  17. Remove(Sequence[If[stayX(i), randomNosForX(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForXwithoutRepeat
  18. Remove(Sequence[If[stayY(i), randomNosForY(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForYwithoutRepeat
  19. Element(randomNosForXwithoutRepeat, Mod[questionCount, Length[randomNosForXwithoutRepeat]] + 1) → numXwithoutRepeat
  20. Element(randomNosForYwithoutRepeat, Mod[questionCount, Length[randomNosForYwithoutRepeat]] + 1) → numYwithoutRepeat
  21. Sequence(1) → positionsOptionsRechts
  22. Sequence(Element[optionsRAll, indizesOptionsRechts(i)], i, 1, numOptionsR) → optionsRActual
  23. Length(optionsRActual) → a
  24. Sequence(Element[optionsLAll, indizesOptionsLinks(i)], i, 1, numOptionsL) → optionsLActual
  25. Sequence(allOptionsL(indizesOptionsLinks(i)), i, 1, numOptionsL) → optionsL
  26. Sequence(allOptionsR(indizesOptionsLinks(i)), i, 1, numOptionsL) → optionsR
  27. Polygon((-10, -2), (10, -2), (10, 10), (-10, 10)) → q1, q_1, r_1, s_1, t_1
  28. Polygon(E, F, G, H) → q2, e_1, f_2, g_2, h_2
  29. Polygon(I, J, K, L) → q3, i_2, j_2, k_1, l_1
  30. Text(optionsLActual(1), CenterOptionL1, true, true, 0, 0) → opL1
  31. Text(optionsLActual(2), CenterOptionL2, true, true, 0, 0) → opL2
  32. Text(optionsLActual(3), CenterOptionL3, true, true, 0, 0) → opL3
  33. Text(optionsLActual(4), CenterOptionL4, true, true, 0, 0) → opL4
  34. PointIn(allowedRect) → CenterOptionR1
  35. Text(optionsRActual(1), CenterOptionR1, true, true, 0, 0) → opR1
  36. Polygon(CenterOptionR1, CenterOptionR1 - (widthR / 2, heightR / 2), CenterOptionR1 + (widthR / 2, ((-heightR)) / 2), CenterOptionR1 + (widthR / 2, heightR / 2), CenterOptionR1 - (widthR / 2, ((-heightR)) / 2), CenterOptionR1 - (widthR / 2, heightR / 2)) → rectRMove1, centeroptionr1, f, g, h, i, j
  37. PointIn(allowedRect) → CenterOptionR2
  38. Text(optionsRActual(2), CenterOptionR2, true, true, 0, 0) → opR2
  39. Polygon(CenterOptionR2, CenterOptionR2 - (widthR / 2, heightR / 2), CenterOptionR2 + (widthR / 2, ((-heightR)) / 2), CenterOptionR2 + (widthR / 2, heightR / 2), CenterOptionR2 - (widthR / 2, ((-heightR)) / 2), CenterOptionR2 - (widthR / 2, heightR / 2)) → rectRMove2, centeroptionr2, k, l, m, n, p
  40. PointIn(allowedRect) → CenterOptionR3
  41. Text(optionsRActual(3), CenterOptionR3, true, true, 0, 0) → opR3
  42. Polygon(CenterOptionR3, CenterOptionR3 - (widthR / 2, heightR / 2), CenterOptionR3 + (widthR / 2, ((-heightR)) / 2), CenterOptionR3 + (widthR / 2, heightR / 2), CenterOptionR3 - (widthR / 2, ((-heightR)) / 2), CenterOptionR3 - (widthR / 2, heightR / 2)) → rectRMove3, centeroptionr3, q, r, s, t, e
  43. PointIn(allowedRect) → CenterOptionR4
  44. Text(optionsRActual(4), CenterOptionR4, true, true, 0, 0) → opR4
  45. Polygon(CenterOptionR4, CenterOptionR4 - (widthR / 2, heightR / 2), CenterOptionR4 + (widthR / 2, ((-heightR)) / 2), CenterOptionR4 + (widthR / 2, heightR / 2), CenterOptionR4 - (widthR / 2, ((-heightR)) / 2), CenterOptionR4 - (widthR / 2, heightR / 2)) → rectRMove4, centeroptionr4, f_1, g_1, h_1, i_1, j_1
  46. PointIn(allowedRect) → CenterOptionR5
  47. Text(optionsRActual(5), CenterOptionR5, true, true, 0, 0) → opR5
  48. Polygon(CenterOptionR5, CenterOptionR5 - (widthR / 2, heightR / 2), CenterOptionR5 + (widthR / 2, ((-heightR)) / 2), CenterOptionR5 + (widthR / 2, heightR / 2), CenterOptionR5 - (widthR / 2, ((-heightR)) / 2), CenterOptionR5 - (widthR / 2, heightR / 2)) → rectRMove5, centeroptionr5, m_1, n_1, b_1, c_1, d_1
  49. PointIn(allowedRect) → CenterOptionR6
  50. Text(optionsRActual(6), CenterOptionR6, true, true, 0, 0) → opR6
  51. Polygon(CenterOptionR6, CenterOptionR6 - (widthR / 2, heightR / 2), CenterOptionR6 + (widthR / 2, ((-heightR)) / 2), CenterOptionR6 + (widthR / 2, heightR / 2), CenterOptionR6 - (widthR / 2, ((-heightR)) / 2), CenterOptionR6 - (widthR / 2, heightR / 2)) → rectRMove6, centeroptionr6, k_2, l_2, m_2, n_2, p_2
  52. PointIn(allowedRect) → CenterOptionR7
  53. Text(optionsRActual(7), CenterOptionR7, true, true, 0, 0) → opR7
  54. Polygon(CenterOptionR7, CenterOptionR7 - (widthR / 2, heightR / 2), CenterOptionR7 + (widthR / 2, ((-heightR)) / 2), CenterOptionR7 + (widthR / 2, heightR / 2), CenterOptionR7 - (widthR / 2, ((-heightR)) / 2), CenterOptionR7 - (widthR / 2, heightR / 2)) → rectRMove7, centeroptionr7, q_2, r_2, s_2, t_2, a_2
  55. If(CountIf[P ∈ answerRectLarger1(1), P, verticesR1] ≟ 4, 1, CountIf[P ∈ answerRectLarger2(1), P, verticesR1] ≟ 4, 2, CountIf[P ∈ answerRectLarger3(1), P, verticesR1] ≟ 4, 3, CountIf[P ∈ answerRectLarger4(1), P, verticesR1] ≟ 4, 4, -1) → indexAnswerR1
  56. If(CountIf[P ∈ answerRectLarger1(1), P, verticesR2] ≟ 4, 1, CountIf[P ∈ answerRectLarger2(1), P, verticesR2] ≟ 4, 2, CountIf[P ∈ answerRectLarger3(1), P, verticesR2] ≟ 4, 3, CountIf[P ∈ answerRectLarger4(1), P, verticesR2] ≟ 4, 4, -1) → indexAnswerR2
  57. If(CountIf[P ∈ answerRectLarger1(1), P, verticesR3] ≟ 4, 1, CountIf[P ∈ answerRectLarger2(1), P, verticesR3] ≟ 4, 2, CountIf[P ∈ answerRectLarger3(1), P, verticesR3] ≟ 4, 3, CountIf[P ∈ answerRectLarger4(1), P, verticesR3] ≟ 4, 4, -1) → indexAnswerR3
  58. If(CountIf[P ∈ answerRectLarger1(1), P, verticesR4] ≟ 4, 1, CountIf[P ∈ answerRectLarger2(1), P, verticesR4] ≟ 4, 2, CountIf[P ∈ answerRectLarger3(1), P, verticesR4] ≟ 4, 3, CountIf[P ∈ answerRectLarger4(1), P, verticesR4] ≟ 4, 4, -1) → indexAnswerR4
  59. If(CountIf[P ∈ answerRectLarger1(1), P, verticesR5] ≟ 4, 1, CountIf[P ∈ answerRectLarger2(1), P, verticesR5] ≟ 4, 2, CountIf[P ∈ answerRectLarger3(1), P, verticesR5] ≟ 4, 3, CountIf[P ∈ answerRectLarger4(1), P, verticesR5] ≟ 4, 4, -1) → indexAnswerR5
  60. If(CountIf[P ∈ answerRectLarger1(1), P, verticesR6] ≟ 4, 1, CountIf[P ∈ answerRectLarger2(1), P, verticesR6] ≟ 4, 2, CountIf[P ∈ answerRectLarger3(1), P, verticesR6] ≟ 4, 3, CountIf[P ∈ answerRectLarger4(1), P, verticesR6] ≟ 4, 4, -1) → indexAnswerR6
  61. If(CountIf[P ∈ answerRectLarger1(1), P, verticesR7] ≟ 4, 1, CountIf[P ∈ answerRectLarger2(1), P, verticesR7] ≟ 4, 2, CountIf[P ∈ answerRectLarger3(1), P, verticesR7] ≟ 4, 3, CountIf[P ∈ answerRectLarger4(1), P, verticesR7] ≟ 4, 4, -1) → indexAnswerR7
  62. CountIf(ind ≠ -1, ind, indizesAnswerR) → numAnswersDraggedToLeft
  63. If(correct, "\vphantom{✘}✓ Richtig", If[correctpartially, "\vphantom{✓}✘ Teilweise richtig", "\vphantom{✓}✘ Falsch"]) → correctTextTemp
  64. Text((("\Large\textsf{" * correctTextTemp) * "}"), PStartCorrectText, true, true, 1, 0) → correctText

AI 绘图提示语参考

这是一个交互式角度分类练习的图形，包含六个角度类型选项：锐角、直角、钝角、平角、反射角和全角。图形中会显示一个矩形背景，上面有文本框用于显示问题和选项，并绘制一些角度示意图。构造顺序是先绘制矩形，然后随机化选项顺序，创建文本框和选项标签，最后绘制角度图示以供学生匹配。
以上提示语为根据原始绘图命令整理而来，仅供参考。