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Fehlersuche

Fehlersuche
几何画板及绘图内容加载中，请稍等……
2024-07-01 17:16
函数
所属专题 Binomische Formeln
Fehlersuche是FLINK-Team为7-8年级学生准备的一道数学练习题。通过此题，学生可以学习如何使用三项二项式公式来求解二项式表达式。该练习题使用GeoGebra来展示二项式表达式的图形和动画，帮助学生更好地理解二项式公式的应用。GeoGebra命令：Polygon, PointIn, Point, Circle, Join, Line, Intersect, Textfield, Element, Tangent, Semicircle, LaTeX; 对象：radius, A_2, B_2, l3, l3_{2}, l3_{3}, l3_{4}, l3_{5}, Light, Origin, M7_2, k72, M7_1, k71, M1_2, M1_1, k12, k11, questionCount, M4_1, k41, correctK4, M6_1, M8_{1}, M9_{1}, k91, correctK9, M10_{1}, k101, M10_{2}, k102, correctK10, M11_1, k111, correctK11, M12_{1}, M3_1, M2_1, k21, M2_{2}。适合7-8年级学生使用。

GeoGebra 命令及参数

  1. Polygon(A_2, (x(A_2), y(B_2)), B_2, (x(B_2), y(A_2))) → l3, l3_{2}, l3_{3}, l3_{4}, l3_{5}
  2. PointIn(l3) → Light
  3. Point(Line[Origin, xAxis]) → M7_2
  4. Circle(M7_2, radius) → k72
  5. Point(Line[Origin, xAxis]) → M7_1
  6. Circle(M7_1, radius) → k71
  7. Point(Line[Origin, xAxis]) → M1_2
  8. Point(Line[Origin, xAxis]) → M1_1
  9. Circle(M1_2, radius) → k12
  10. Circle(M1_1, radius) → k11
  11. Point(Line[Origin, xAxis]) → M4_1
  12. Circle(M4_1, radius) → k41
  13. Point(Line[Origin, xAxis]) → M6_1
  14. Point(Line[Origin, xAxis]) → M8_{1}
  15. Point(Line[Origin, xAxis]) → M9_{1}
  16. Circle(M9_{1}, (1.93 * radius)) → k91
  17. Point(Line[Origin, xAxis]) → M10_{1}
  18. Circle(M10_{1}, radius + 0.05) → k101
  19. Point(Line[Origin, xAxis]) → M10_{2}
  20. Circle(M10_{2}, radius) → k102
  21. Point(Line[Origin, xAxis]) → M11_1
  22. Circle(M11_1, radius + 0.03) → k111
  23. Point(Line[Origin, xAxis]) → M12_{1}
  24. Point(Line[Origin, xAxis]) → M3_1
  25. Point(Line[Origin, xAxis]) → M2_1
  26. Circle(M2_1, radius + 0.04) → k21
  27. Point(Line[Origin, xAxis]) → M2_{2}
  28. Circle(M2_{2}, radius + 0.02) → k22
  29. Point(Line[Origin, xAxis]) → M5_1
  30. Point(Line[Origin, xAxis]) → M5_{2}
  31. Circle(M3_1, radius3) → k31
  32. Circle(M12_{1}, radius3) → k121
  33. Circle(M8_{1}, radius3) → k81
  34. Circle(M6_1, radius3) → k61
  35. Circle(M5_1, radius3 + 0.03) → k51
  36. Circle(M5_{2}, radius3) → k52
  37. Join(Sequence[Sequence[1, 3], m, 1, 10]) → NameNums
  38. Join(Sequence[Shuffle[Sequence[m, m, 1, maxExCount, 1]], k, 1, 1]) → ListeLayout
  39. Circle(Light, radius) → p
  40. Line(Center[p], L1) → light
  41. Intersect(Circle[L1, 1.5], light) → M3, M4
  42. Join(Sequence[Join[{Join[{{1}, Shuffle[{2, 3, 4, 5}]}], Shuffle[{6, 7, 8, 9, 10, 11, 12}]}], m, 1, 9]) → ListeExNums
  43. Textfield(bInput) → InputBox2
  44. Element({correctK1, correctK2, correctK3, correctK4, correctK5, correctK6, correctK7, correctK8, correctK9, correctK10, correctK11, correctK12}, layout) → correct
  45. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, ptopleftcornerfeedback, ptoprightcornerfeedback, pbottomrightcornerfeedback, pbottomleftcornerfeedback
  46. Textfield(bInput) → Eingabefeld2
  47. Polygon(V11, (x(V11), y(V13)), V13, (x(V13), y(V11))) → v1, f, g, h, i
  48. Intersect(Circle[L1, 0.5], light) → C, D
  49. Tangent(M4, p) → l1, l2
  50. Intersect(Circle[M4, 3], M4) → L_1
  51. Intersect(Circle[M4, 2], M4) → M_1
  52. Circle(M4, 1.7) → k
  53. Intersect(k, l1, 2) → N_1
  54. Intersect(k, l2) → O_1, P_1
  55. Intersect(p, l1) → Q_1
  56. Intersect(p, l2) → R_1
  57. Polygon(R_1, Q_1, N_1, P_1) → v2, r_1, q_1, n_1, p_1
  58. Circle(Light, radius) → pr
  59. Semicircle(R_1, Q_1) → c
  60. LaTeX(layout, true, true) → Text16
  61. Point(Line[B1a, xAxis]) → B1b
  62. Point(Line[B2a, xAxis]) → B2b
  63. Point(Line[S_1, xAxis]) → T_1
  64. Point(Line[W_1, xAxis]) → Z_1
  65. Point(Line[U_1, xAxis]) → V_1

AI 绘图提示语参考

在坐标系中先确定一条水平参考线，并取原点作为基准。沿该水平线分别取多个点作为圆心，画出若干半径相同的小圆，以及少量半径略有偏差的圆，用这些圆围成若干交叠区域。再画一个由四个顶点构成的矩形，并在其上建立与反馈相关的四个角点。最后在平面中加入文本输入框位置用于题目回答，同时准备一组可选择的正确选项条目，并把光照/交点对应的标记在圆的交叠处体现出来。
以上提示语为根据原始绘图命令整理而来，仅供参考。