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网格乘法

网格乘法
几何画板及绘图内容加载中，请稍等……
2015-02-07 20:10
函数三角函数解析几何几何作图
①本范例通过动态演示网格乘法，直观展示乘法运算的几何意义；②涉及核心数学概念包括乘法、方程、频率分布、统计特征、割线；③作图要点运用了多边形、线段、点、垂线、交点、距离、中点等GeoGebra命令与对象；④适合初中及以上数学学习者，用于理解乘法与几何图形的关联，增强空间想象能力。

GeoGebra 命令及参数

  1. Polygon(Ay, ABxy, Bx, A) → poly5, ay_1, abxy_1, bx_1, a_2
  2. Segment(Ay, ABxy) → c
  3. Segment(ABxy, Bx) → d
  4. Segment(Bx, A) → e
  5. Segment(Ay, A) → f
  6. PointIn(poly5) → B
  7. OrthogonalLine(B, xAxis) → g
  8. OrthogonalLine(B, yAxis) → h
  9. Intersect(g, c) → C
  10. Intersect(h, d) → F
  11. Intersect(h, f) → D
  12. Intersect(g, e) → E
  13. Segment(D, B) → i
  14. Segment(B, F) → j
  15. Segment(C, B) → k
  16. Segment(B, E) → l
  17. Polygon(Ay, C, B, D) → poly1, ay, c_1, b_1, d_1
  18. Polygon(C, ABxy, F, B) → poly2, c_2, abxy, f_1, b_2
  19. Polygon(B, F, Bx, E) → poly3, b_3, f_2, bx, e_1
  20. Polygon(D, B, E, A) → poly4, d_2, b_4, e_2, a_1
  21. Intersect(i, k) → G
  22. Distance(C, Ay) → dAyC
  23. Midpoint(Ay, C) → H
  24. Midpoint(C, B) → I
  25. Midpoint(C, ABxy) → J
  26. Midpoint(B, E) → K
  27. Midpoint(B, F) → L
  28. Midpoint(B, D) → M
  29. Midpoint(A, E) → N
  30. Midpoint(E, Bx) → O
  31. Midpoint(Bx, F) → P
  32. Midpoint(D, A) → Q
  33. Midpoint(Ay, D) → R
  34. Midpoint(R, I) → S
  35. Midpoint(ABxy, F) → T
  36. Midpoint(I, T) → U
  37. Midpoint(K, P) → V
  38. Midpoint(Q, K) → W
  39. Midpoint(ABxy, Bx) → Z
  40. Midpoint(Ay, ABxy) → A_1
  41. Distance(ABxy, C) → dCABxy
  42. Distance(ABxy, Ay) → dABxyAy
  43. Distance(ABxy, F) → dABxyF
  44. Distance(F, Bx) → dFBx
  45. Distance(ABxy, Bx) → dABxyBx
  46. Distance(C, B) → dCB
  47. Distance(B, E) → dBE
  48. Distance(F, B) → dFB
  49. Distance(B, D) → dBD