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用 GeoGebra 探索函数与规则

用 GeoGebra 探索函数与规则
几何画板及绘图内容加载中，请稍等……
2018-08-22 01:10
函数概率统计最值优化
所属专题 Mapping Diagrams: From AB to C&DE, Resource
①本范例通过交互式图形演示函数规则猜测游戏，直观展示函数图像与性质；②涉及核心数学概念包括函数、二次方程、概率、正交中心、整数、最值优化；③构造中运用了 Textfield, Random, Polygon, Translate, Element, Sequence, Zip 等命令与对象，实现随机图形生成与变换；④适合高中数学教学，用于函数性质探究、概率统计实践及几何变换理解。

GeoGebra 命令及参数

  1. Textfield(inpt) → InputBox1
  2. Random(1, Length[list1]) → new
  3. Random(0, 1) → fnc
  4. Polygon(C, D, E, G) → poly1, c, d, e, g_1
  5. Translate(Polygon[C, C + (1, 0), C + (1, 0.5), C + (0, 1)], (1, 0)) → poly2
  6. Translate(Mirror[poly2, C + (2, 0)], Vector[C, D]) → poly3
  7. Element(inlist, 1) → A1
  8. Element(inlist, 2) → A2
  9. Element(inlist, 3) → A3
  10. Element(inlist, 4) → A4
  11. Element(inlist, 5) → A5
  12. Element(outlist, 1) → B1
  13. Element(outlist, 2) → B2
  14. Element(outlist, 3) → B3
  15. Element(outlist, 4) → B4
  16. Element(outlist, 5) → B5
  17. Element(inlist, 15) → A15
  18. Element(inlist, 14) → A14
  19. Element(inlist, 13) → A13
  20. Element(inlist, 12) → A12
  21. Element(inlist, 11) → A11
  22. Element(inlist, 10) → A10
  23. Element(inlist, 9) → A9
  24. Element(inlist, 7) → A7
  25. Element(outlist, 6) → B6
  26. Element(outlist, 7) → B7
  27. Element(outlist, 8) → B8
  28. Element(outlist, 9) → B9
  29. Element(outlist, 10) → B10
  30. Element(outlist, 11) → B11
  31. Element(outlist, 12) → B12
  32. Element(outlist, 13) → B13
  33. Element(outlist, 14) → B14
  34. Element(outlist, 15) → B15
  35. Element(inlist, 8) → A8
  36. Element(inlist, 6) → A6
  37. Random(1, Length[list2]) → ckn_0
  38. Sequence(F(i), i, -5, 5) → list3
  39. Textfield(rule) → InputBox2
  40. Sequence(rule(i), i, -5, 5) → list4
  41. Sequence(rule(Element[inlist, i]), i, 1, Length[inlist]) → list5
  42. Zip((0, A), A, inlist) → MDin
  43. Zip((2, A), A, outlist) → MDout
  44. Zip(Vector[A, B], A, MDin, B, MDout) → MDArr