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不规则图形周长计算练习（P4第二题）

不规则图形周长计算练习（P4第二题）
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2018-12-06 15:55
多边形不等式几何作图
所属专题 P4 4M1 Perimeter 周界
① 本范例通过GeoGebra展示一个由多个不规则多边形组合而成的图形，用于练习计算其周长，属于小学四年级（P4）的几何测量问题。② 核心数学概念是周长的定义与计算，涉及对不规则图形边界的识别、线段长度的累加，以及多边形边与边之间的衔接关系。③ 作图要点：从构造摘要可见，使用了GeoGebra的“线段（Segment）”和“多边形（Polygon）”命令，创建了多个多边形对象（如VPoly1Ma至VPoly1Ff）以及大量辅助线段（如Blue01a、Red01a等），这些对象通过不同颜色（蓝、红）区分图形的不同部分，便于学生观察和测量。④ 适合小学中高年级（约9-10岁）学生作为周长概念的巩固练习，也可用于教师课堂演示或学生自主探究，通过拖动顶点或测量线段长度来验证周长计算。

GeoGebra 命令及参数

  1. Segment(Blue01a, Blue01b) → Blue01
  2. Segment(Blue02a, Blue02b) → Blue02
  3. Segment(Blue03a, Blue03b) → Blue03
  4. Segment(Blue04a, Blue04b) → Blue04
  5. Segment(Red01a, Red01b) → Red01
  6. Segment(Red02a, Red02b) → Red02
  7. Segment(Red03a, Red03b) → Red03
  8. Segment(Red04a, Red04b) → Red04
  9. Segment(Blue05a, Blue05b) → Blue05
  10. Segment(Red05a, Red05b) → Red05
  11. Segment(Blue06a, Blue06b) → Blue06
  12. Segment(Red06a, Red06b) → Red06
  13. Segment(Blue07a, Blue07b) → Blue07
  14. Segment(Blue08a, Blue08b) → Blue08
  15. Segment(Blue09a, Blue09b) → Blue09
  16. Segment(Blue10a, Blue10b) → Blue10
  17. Segment(Blue11a, Blue11b) → Blue11
  18. Segment(Blue12a, Blue12b) → Blue12
  19. Segment(Red07a, Red07b) → Red07
  20. Segment(Red08a, Red08b) → Red08
  21. Segment(Red09a, Red09b) → Red09
  22. Segment(Red10a, Red10b) → Red10
  23. Segment(Red11a, Red11b) → Red11
  24. Segment(Red12a, Red12b) → Red12
  25. Segment(Green01a, Green01b) → Green01
  26. Segment(Green02a, Green02b) → Green02
  27. Segment(Green03a, Green03b) → Green03
  28. Segment(Green04a, Green04b) → Green04
  29. Segment(Green05a, Green05b) → Green05
  30. Segment(Green06a, Green06b) → Green06
  31. Segment(Green07a, Green07b) → Green07
  32. Segment(Green08a, Green08b) → Green08
  33. Segment(Green09a, Green09b) → Green09
  34. Segment(Green10a, Green10b) → Green10
  35. Segment(Green11a, Green11b) → Green11
  36. Segment(Green12a, Green12b) → Green12
  37. Segment(Green13a, Green13b) → Green13
  38. Segment(Green14a, Green14b) → Green14
  39. Polygon(VPoly2Fa, VPoly2Fb, VPoly2Fc, VPoly2Fd) → Poly2F, SPoly2Fa, SPoly2Fb, SPoly2Fc, SPoly2Fd
  40. Polygon(VPoly2Ma, VPoly2Mb, VPoly2Mc, VPoly2Md) → Poly2M, SPoly2Ma, SPoly2Mb, SPoly2Mc, SPoly2Md
  41. Polygon(VPoly1Fa, VPoly1Fb, VPoly1Fc, VPoly1Fd, VPoly1Fe, VPoly1Ff, VPoly1Fg, VPoly1Fh) → Poly1F, SPoly1Fa, SPoly1Fb, SPoly1Fc, SPoly1Fd, SPoly1Fe, SPoly1Ff, SPoly1Fg, SPoly1Fh
  42. Polygon(VPoly1Ma, VPoly1Mb, VPoly1Mc, VPoly1Md, VPoly1Me, VPoly1Mf, VPoly1Mg, VPoly1Mh) → Poly1M, SPoly1Ma, SPoly1Mb, SPoly1Mc, SPoly1Md, SPoly1Me, SPoly1Mf, SPoly1Mg, SPoly1Mh
  43. Segment(A, B) → L8
  44. Segment(C, D) → L1
  45. Segment(E, F) → L2
  46. Segment(G, H) → L4
  47. Segment(I, J) → L5
  48. Segment(K, L) → L6
  49. Segment(M, N) → L3
  50. Segment(O, P) → L7
  51. Segment(Q, R) → f
  52. Segment(S, T) → R2
  53. Segment(U, V) → R3
  54. Segment(W, Z) → R4