积极 AI Logo 积极 AI

部分-部分-整体模型

部分-部分-整体模型
几何画板及绘图内容加载中，请稍等……
2017-06-14 16:31
圆多边形函数
所属专题 Concrete-Pictorial-Abstract and the Teaching for Mastery
该范例通过条形图和圆圈展示了部分-部分-整体模型。它涉及加法和减法的核心数学概念。通过使用GeoGebra命令如Sequence, Circle, Textfield, Mod, Div, Polygon等，可以动态地展示数学概念。适合小学高年级和初中学生学习。

GeoGebra 命令及参数

  1. Sequence(Circle[(8 + (2.5 * (i - (n + 1) / 2)), -5), 1], i, 1, n) → list1
  2. Circle(A, B) → c
  3. Sequence(JoinCircles[c, Element[list1, i]], i, 1, n) → list2
  4. Corner(1) → C_1
  5. Corner(3) → C_3
  6. Corner(5) → C_5
  7. Sequence("SetCoords[A" + (i) + ",x(Center[Element[list1," + (i) + "]])/pixely,-y(Center[Element[list1," + (i) + "]])/pixelx]", i, 1, n) → list3
  8. Textfield(B1) → A1
  9. Textfield(B2) → A2
  10. Textfield(B3) → A3
  11. Textfield(B4) → A4
  12. Textfield(B5) → A5
  13. Textfield(B6) → A6
  14. Textfield(total) → InputBox1
  15. Sequence("SetValue[B" + (i) + ",div + mod*(" + (i) + "==n)]", i, 1, n) → list4
  16. Mod(total, n) → mod
  17. Div(total, n) → div
  18. Sequence("SetValue[B" + (i) + ",?]", i, 1, n) → list5
  19. Polygon(D, C, F, E) → poly1, d, c_1, f, e
  20. Polygon(G, H, N, E) → poly2, g, h, n_1, e_1
  21. Polygon(H, I, O, N) → poly3, h_1, i, o, n_2
  22. Polygon(I, J, P, O) → poly4, i_1, j, p, o_1
  23. Polygon(J, K, Q, P) → poly5, j_1, k, q, p_1
  24. Polygon(L, M, S, R) → poly7, m, s, t, a
  25. Polygon(K, L, R, Q) → poly6, k_1, l, r, q_1
  26. Text(total, (E + C) / 2 - (0, 0.2)) → text1
  27. Text(B1, (G + N) / 2 - (0, 0.2)) → C1
  28. Text(B2, (H + O) / 2 - (0, 0.2)) → C2
  29. Text(B3, (I + P) / 2 - (0, 0.2)) → C3
  30. Text(B4, (J + Q) / 2 - (0, 0.2)) → C4
  31. Text(B5, (K + R) / 2 - (0, 0.2)) → C5
  32. Text(B6, (L + S) / 2 - (0, 0.2)) → C6