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根据表格写方程

根据表格写方程
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2015-02-06 01:19
函数数列函数图像
这个范例展示了如何根据给定的表格数据写出相应的方程。核心数学概念包括数列和函数。通过使用GeoGebra命令如Random, Sequence, Join等，可以动态生成表格数据并绘制相应的方程图像。适合高中数学教学和学习。

GeoGebra 命令及参数

  1. Random(1, 10) → intervalX1
  2. Sequence((-i), i, 1, 20) → list1
  3. Sequence(i, i, 1, 20) → list2
  4. Join({list1, list2}) → coefs
  5. Element(coefs, Random[1, 40]) → coef1
  6. Element(coefs, Random[1, 40]) → coef2
  7. Element(coefs, Random[1, 40]) → coef3
  8. Element(coefs, Random[1, 40]) → coef4
  9. Element(coefs, Random[1, 40]) → coef5
  10. Element(coefs, Random[1, 40]) → coef6
  11. Join({list1, list2, {0}}) → b
  12. FractionText((coef1 * A2^(2)) + b1) → B2
  13. FractionText((coef1 * A3^(2)) + b1) → B3
  14. FractionText((coef1 * A4^(2)) + b1) → B4
  15. FractionText((coef1 * A5^(2)) + b1) → B5
  16. FractionText((coef1 * A6^(2)) + b1) → B6
  17. FractionText((coef1 * A7^(2)) + b1) → B7
  18. Random(1, 10) → intervalX2
  19. FractionText((coef2 * D2^(2)) + b2) → E2
  20. FractionText((coef2 * D3^(2)) + b2) → E3
  21. FractionText((coef2 * D4^(2)) + b2) → E4
  22. FractionText((coef2 * D5^(2)) + b2) → E5
  23. FractionText((coef2 * D6^(2)) + b2) → E6
  24. FractionText((coef2 * D7^(2)) + b2) → E7
  25. Random(1, 10) → intervalX3
  26. FractionText((coef3 * G2^(2)) + b3) → H2
  27. FractionText((coef3 * G3^(2)) + b3) → H3
  28. FractionText((coef3 * G4^(2)) + b3) → H4
  29. FractionText((coef3 * G5^(2)) + b3) → H5
  30. FractionText((coef3 * G6^(2)) + b3) → H6
  31. FractionText((coef3 * G7^(2)) + b3) → H7
  32. Random(1, 10) → intervalX4
  33. FractionText((coef4 * J2^(2)) + b4) → K2
  34. FractionText((coef4 * J3^(2)) + b4) → K3
  35. FractionText((coef4 * J4^(2)) + b4) → K4
  36. FractionText((coef4 * J5^(2)) + b4) → K5
  37. FractionText((coef4 * J6^(2)) + b4) → K6
  38. FractionText((coef4 * J7^(2)) + b4) → K7
  39. Random(1, 10) → intervalX5
  40. FractionText((coef5 * M2^(2)) + b5) → N2
  41. FractionText((coef5 * M3^(2)) + b5) → N3
  42. FractionText((coef5 * M4^(2)) + b5) → N4
  43. FractionText((coef5 * M5^(2)) + b5) → N5
  44. FractionText((coef5 * M6^(2)) + b5) → N6
  45. FractionText((coef5 * M7^(2)) + b5) → N7
  46. Random(1, 10) → intervalX6
  47. FractionText((coef6 * P2^(2)) + b6) → Q2
  48. FractionText((coef6 * P3^(2)) + b6) → Q3
  49. FractionText((coef6 * P4^(2)) + b6) → Q4
  50. FractionText((coef6 * P5^(2)) + b6) → Q5
  51. FractionText((coef6 * P6^(2)) + b6) → Q6
  52. FractionText((coef6 * P7^(2)) + b6) → Q7
  53. If(b1 < 0, (-b1), b1) → forTextb1
  54. If(b2 < 0, (-b2), b2) → forTextb2
  55. If(b3 < 0, (-b3), b3) → forTextb3
  56. If(b4 < 0, (-b4), b4) → forTextb4
  57. If(b5 < 0, (-b5), b5) → forTextb5
  58. If(b6 < 0, (-b6), b6) → forTextb6
  59. If(b1 < 0, " - ", " + ") → sign1
  60. If(b2 < 0, " - ", " + ") → sign2
  61. If(b3 < 0, " - ", " + ") → sign3
  62. If(b4 < 0, " - ", " + ") → sign4
  63. If(b5 < 0, " - ", " + ") → sign5
  64. If(b6 < 0, " - ", " + ") → sign6
  65. If(showAnswers ≟ true, (("y = " * coef1) * "x²"), "y") → yText1
  66. If(showAnswers ≟ true, (("y = " * coef2) * "x²"), "y") → yText2
  67. If(showAnswers ≟ true, (("y = " * coef3) * "x²"), "y") → yText3
  68. If(showAnswers ≟ true, (("y = " * coef4) * "x²"), "y") → yText4
  69. If(showAnswers ≟ true, (("y = " * coef5) * "x²"), "y") → yText5
  70. If(showAnswers ≟ true, (("y = " * coef6) * "x²"), "y") → yText6
  71. TableText({{A1, B1}, {A2, B2}, {A3, B3}, {A4, B4}, {A5, B5}, {A6, B6}, {A7, B7}}, "|_") → Table1
  72. TableText({{D1, E1}, {D2, E2}, {D3, E3}, {D4, E4}, {D5, E5}, {D6, E6}, {D7, E7}}, "|_") → Table2
  73. TableText({{G1, H1}, {G2, H2}, {G3, H3}, {G4, H4}, {G5, H5}, {G6, H6}, {G7, H7}}, "|_") → Table3
  74. TableText({{J1, K1}, {J2, K2}, {J3, K3}, {J4, K4}, {J5, K5}, {J6, K6}, {J7, K7}}, "|_") → Table4
  75. TableText({{M1, N1}, {M2, N2}, {M3, N3}, {M4, N4}, {M5, N5}, {M6, N6}, {M7, N7}}, "|_") → Table5
  76. TableText({{P1, Q1}, {P2, Q2}, {P3, Q3}, {P4, Q4}, {P5, Q5}, {P6, Q6}, {P7, Q7}}, "|_") → Table6