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图形分数演示

图形分数演示
几何画板及绘图内容加载中，请稍等……
2017-05-16 17:59
圆多边形函数几何作图滑块动画
①本范例演示如何将不同形状（如立方体、等腰三角形）分割成若干份，直观展示分数概念；②涉及核心数学概念包括分数、自然数、多边形构造、函数应用；③通过 GeoGebra 命令 Polygon（多边形）、Sequence（数列）、Circle（圆）、Point（点）、Sector（扇形）等实现形状分割与分数可视化；④适合小学及以上数学教学，用于分数启蒙与几何直观教学。

GeoGebra 命令及参数

  1. Polygon((B1, 0), (B2, 0), (B2, 1 / shape), (B1, 1 / shape)) → C1, D1, E1, F1, G1
  2. Polygon((B2, 0), (B3, 0), (B3, 1 / shape), (B2, 1 / shape)) → C2, D2, E2, F2, G2
  3. Polygon((B3, 0), (B4, 0), (B4, 1 / shape), (B3, 1 / shape)) → C3, D3, E3, F3, G3
  4. Polygon((B4, 0), (B5, 0), (B5, 1 / shape), (B4, 1 / shape)) → C4, D4, E4, F4, G4
  5. Polygon((B5, 0), (B6, 0), (B6, 1 / shape), (B5, 1 / shape)) → C5, D5, E5, F5, G5
  6. Polygon((B6, 0), (B7, 0), (B7, 1 / shape), (B6, 1 / shape)) → C6, D6, E6, F6, G6
  7. Polygon((B7, 0), (B8, 0), (B8, 1 / shape), (B7, 1 / shape)) → C7, D7, E7, F7, G7
  8. Polygon((B8, 0), (B9, 0), (B9, 1 / shape), (B8, 1 / shape)) → C8, D8, E8, F8, G8
  9. Polygon((B9, 0), (B10, 0), (B10, 1 / shape), (B9, 1 / shape)) → C9, D9, E9, F9, G9
  10. Polygon((B10, 0), (B11, 0), (B11, 1 / shape), (B10, 1 / shape)) → C10, D10, E10, F10, G10
  11. Sequence("SetValue[H" + (i) + "," + (If[i + 1 ≟ newDenom, true, false]) + "]", i, 1, 10) → list4
  12. Sequence("SetCoords[I" + (i) + ",0,-0.25]", i, 1, 100) → list5
  13. Polygon(A, B, C, D) → poly1, a, b, c, d
  14. Polygon(E, F, G, H) → poly2, e, f, g, h
  15. Polygon(I, J, K) → poly3, k_1, i, j
  16. Circle(L, M) → p
  17. Polygon(N, P, R) → poly4, r, n, p_1
  18. Polygon(O, R, P) → poly5, p_2, o, r_1
  19. Polygon(Q, P, N) → poly6, n_1, q, p_3
  20. Polygon(N, Q, O) → poly7, o_1, n_2, q_1
  21. Polygon(P, O, Q) → poly8, q_2, p_4, o_2
  22. Circle(S, T) → k
  23. Point(k, A1 / denominator) → J1
  24. Point(k, A2 / denominator) → J2
  25. Point(k, A3 / denominator) → J3
  26. Point(k, A4 / denominator) → J4
  27. Point(k, A5 / denominator) → J5
  28. Point(k, A6 / denominator) → J6
  29. Point(k, A7 / denominator) → J7
  30. Point(k, A8 / denominator) → J8
  31. Point(k, A9 / denominator) → J9
  32. Point(k, A10 / denominator) → J10
  33. Point(k, A11 / denominator) → J11
  34. Sector(k, J1, J2) → K1
  35. Sector(k, J2, J3) → K2
  36. Sector(k, J3, J4) → K3
  37. Sector(k, J4, J5) → K4
  38. Sector(k, J5, J6) → K5
  39. Sector(k, J6, J7) → K6
  40. Sector(k, J7, J8) → K7
  41. Sector(k, J8, J9) → K8
  42. Sector(k, J9, J10) → K9
  43. Sector(k, J10, J11) → K10