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旗帜的周长与面积 by Casey Hawthorne

旗帜的周长与面积 by Casey Hawthorne
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2015-07-29 05:33
圆多边形几何作图
这个范例演示了如何通过几何作图方法来计算旗帜的周长和面积。涉及的核心数学概念包括周长、面积以及多边形的性质。通过使用GeoGebra命令如Segment、LineBisector、Intersect等，可以构造出旗帜的形状，并进一步计算其周长和面积。适合初中及以上学生学习几何作图和相关计算。

GeoGebra 命令及参数

  1. Segment(A, B) → a
  2. Segment(A, C) → b
  3. Segment(B, D) → c
  4. Segment(C, D) → d
  5. LineBisector(A, C) → e
  6. Intersect(e, b) → E
  7. Intersect(c, e) → F
  8. Circle(E, f / 4) → g
  9. Intersect(g, b) → G, H
  10. Circle(F, f / 4) → h
  11. Intersect(h, c) → I, J
  12. Segment(G, I) → i
  13. Segment(H, J) → j
  14. LineBisector(C, D) → k
  15. Intersect(d, k) → K
  16. Intersect(a, k) → L
  17. Segment(G, I) → l
  18. Circle(L, f / 4) → p
  19. Circle(K, f / 4) → q
  20. Intersect(p, a) → M, N
  21. Intersect(q, d) → O, P
  22. Segment(M, O) → m
  23. Segment(P, N) → n
  24. Intersect(l, m) → Q
  25. Intersect(j, m) → R
  26. Intersect(n, j) → S
  27. Intersect(n, l) → T
  28. Polygon(G, Q, R, H, M, N, T, I, J, S, P, O) → poly1, g_1, o, r, h_1, q_1, m_1, n_1, t, i_1, j_1, s, p_1
  29. PointIn(poly1) → Pointpoly1_1
  30. Intersect(j, n) → U
  31. PointIn(poly1) → Pointpoly1
  32. Polygon(A, B, D, C) → poly2, a_1, b_1, d_1, c_1
  33. PointIn(poly2) → Pointpoly2