周长与圆周长2

周长与圆周长2
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2016-04-21 08:10
本范例演示了如何通过几何作图计算周长和圆周长。核心数学概念包括周长和圆周长的计算方法。使用了Segment, Circle, Line, Intersect, CircleArc, Point, Polygon等GeoGebra命令。适合初中及以上学生学习几何作图和相关概念。

GeoGebra 命令及参数

  1. Segment((x(F) - 2, y(F)), (x(F) + 2, y(F))) → a
  2. Segment((x(G) - 1, y(G)), (x(G) + 1, y(G))) → b
  3. Circle(F, 2) → p
  4. Circle(G, 1) → q
  5. Segment((x(F), y(F) + 2), (x(F), y(F) - 2)) → i
  6. Segment((x(G), y(G) + 1), (x(G), y(G) - 1)) → j
  7. Circle(H, 1) → r
  8. Segment((x(H) - 1, y(H)), (x(H) + 1, y(H))) → l
  9. Segment((x(H), y(H) + 1), (x(H), y(H) - 1)) → m
  10. Segment((1.508765339343849, -1.0073814239854815), (1.508765339343849, 0.9926185760145194)) → n
  11. Circle(X, 2) → c
  12. Line(X, xAxis) → s
  13. OrthogonalLine(X, s) → t
  14. Intersect(c, s, 2) → E
  15. Intersect(c, t, 2) → I
  16. CircleArc(X, E, I) → d
  17. Point(d) → Y
  18. Segment(X, Y) → n_2
  19. Semicircle((-2.4912346606561515, 1.0056283561167114), (1.508765339343849, 1.0056283561167114)) → e
  20. Semicircle((1.5087653393438476, -1.0203912040876726), (-0.4912346606561504, -1.0203912040876726)) → f
  21. Semicircle((-2.4912346606561497, 1.018638136218903), (-0.49123466065615085, 1.018638136218903)) → g
  22. Segment((-0.4912346606561513, -1.033400984189865), (-0.4912346606561513, 0.9665990158101362)) → n_1
  23. Circle(O, A) → h
  24. Circle(B, A) → c_1
  25. Sector(c_1, B, A) → d_1
  26. Sector(h, B, A) → e_1
  27. Polygon(B, C, D, J) → poly1, b_1, c_2, d_2, j_1
  28. Midpoint(D, J) → K
  29. Circle(K, D) → f_1
  30. Sector(f_1, J, D) → g_1