简易面积周长游戏

简易面积周长游戏
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2016-06-09 10:37
①本范例演示计算多边形面积与周长的交互式游戏;②涉及核心数学概念:面积、周长、不等式、椭圆、梯形、算术运算;③作图要点:使用Segment、Point、Polygon、Midpoint、Circle、Area、Rotate、Mirror、Distance、Length、Textfield、Angle、Line、PointIn、Perimeter、LaTeX、Element等GeoGebra命令与对象;④适合初中及以上学生,用于几何计算与概念理解。

GeoGebra 命令及参数

  1. Segment(R, S) → a_1
  2. Point(a_1) → V
  3. Segment(V, S) → r_1
  4. Polygon(G, H, 4) → poly2, j, k, l, m, I, J
  5. Midpoint(m) → M
  6. Midpoint(k) → L
  7. Point(xAxis) → E
  8. Circle(E, f) → g
  9. Area(g) → A11
  10. Point(g) → F
  11. Rotate(F, Σ, E) → F'
  12. Midpoint(F', G) → N
  13. Polygon(L, N, G, M) → poly7, l_5, n_2, g_3, m_5
  14. Area(poly7) → i_1
  15. Polygon(N, L, M) → poly5, m_3, n, l_3
  16. Area(poly5) → f_1
  17. Mirror(N, G) → N'
  18. Polygon(N, N', M, L) → poly6, n_1, n', m_4, l_4
  19. Area(poly6) → h_1
  20. Distance(E, F') → j_1
  21. Mirror(F', E) → F''
  22. Distance(F', F'') → w
  23. Polygon(G, M, L, B) → poly4, g_2, m_2, l_2, b_2
  24. Length(b_2) → q_1
  25. Polygon(G, M, L, B) → poly3, g_1, m_1, l_1, b_1
  26. Polygon(A, B, 4) → poly1, a, b, c, d, C, D
  27. Length(c) → p_1
  28. Area(poly3) → e_1
  29. Area(poly2) → d_1
  30. Segment(E, F') → q
  31. Textfield(Answer) → inputBox2
  32. Textfield(text1) → inputBox1
  33. Angle(F, E, F') → β
  34. Line(F', E) → h
  35. Midpoint(L, M) → O
  36. Segment(N, O) → p
  37. Segment(F', F'') → r
  38. Circle(E, F') → s
  39. Area(s) → o
  40. PointIn(s) → Points_1
  41. Area(s) → t
  42. PointIn(s) → Points
  43. Perimeter(poly3) → perimeterpoly3
  44. PointIn(poly3) → Pointpoly3
  45. LaTeX(right, true, true) → text19
  46. LaTeX(wrong, true, true) → text21
  47. Element(list2, i) → v
  48. Point(r_1) → T
  49. Circle(R, T) → c_1
  50. Point(c_1) → U
  51. Mirror(U, R) → U'
  52. Textfield(Name) → inputBox3
  53. Textfield(Date) → inputBox4