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黑体辐射与普朗克定律演示

黑体辐射与普朗克定律演示
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2019-10-13 00:39
函数微积分最值优化函数图像
①本范例演示黑体辐射曲线随温度变化的图形现象；②涉及核心数学概念包括普朗克定律、维恩位移定律、指数函数、导数、积分等；③作图要点提炼自构造摘要，使用了正交线、点、交点、多边形等 GeoGebra 命令与对象；④适合高中及以上学生及需要理解热辐射与函数图像关系的教育场景。

GeoGebra 命令及参数

  1. OrthogonalLine(c45, xAxis) → j_2
  2. Point(xAxis) → c5
  3. OrthogonalLine(c5, xAxis) → h_1
  4. OrthogonalLine(c4, xAxis) → q
  5. Intersect(p, q, (565, 25407018645111.46)) → c41
  6. Intersect(Blackbody, j_2, (534.38634, 25999490224972.543)) → c451
  7. Intersect(Blackbody, h_1, (500, 26238542956227.062)) → c51
  8. Point(xAxis) → c12
  9. OrthogonalLine(c12, xAxis) → q_1
  10. OrthogonalLine(c1, xAxis) → i
  11. OrthogonalLine(c2, xAxis) → b
  12. Intersect(p, b, (625, 23580720410684.496)) → c21
  13. Intersect(Blackbody, q_1, (677.2236876494022, 21618654915219.52)) → c121
  14. Intersect(Blackbody, i, (740, 19145785410070.09)) → c11
  15. Point(xAxis) → c78
  16. OrthogonalLine(c78, xAxis) → g
  17. OrthogonalLine(c7, xAxis) → i_1
  18. OrthogonalLine(c8, xAxis) → f
  19. Intersect(Blackbody, g, (414.15466633466133, 23838177367702.99)) → c781
  20. Intersect(Blackbody, i_1, (450, 25461783794414.273)) → c71
  21. Intersect(p, f, (380, 21319963631038.91)) → c81
  22. OrthogonalLine(c3, xAxis) → m
  23. Intersect(p, m, (590, 24729854079135.98)) → c31
  24. OrthogonalLine(c6, xAxis) → s
  25. Intersect(p, s, (485, 26163247692685.766)) → c61
  26. Corner(1) → conerLD
  27. Corner(3) → conerRU
  28. Polygon(c21, c2, c1, c11, c121) → cc1, r_1, s_1, t_1, a_1, b_1
  29. Polygon(c31, c21, c2, c3) → cc2, d, j, n, e_1
  30. Polygon(c51, c5, c4, c41, c451) → cc4, r, c_1, f_2, k_2, l_2
  31. Polygon(c41, c31, c3, c4) → cc3, f_1, d_1, g_1, e_2
  32. Polygon(c61, c51, c5, c6) → cc5, g_2, e_4, c_2, a
  33. Polygon(c81, c781, c71, c7, c8) → cc7, k_1, l_1, m_1, n_1, p_1
  34. Polygon(c61, c71, c7, c6) → cc6, g_3, i_2, h_2, j_1
  35. OrthogonalLine(B, xAxis) → c
  36. Intersect(Blackbody, c, (502.03049203049204, 26239593572189.543)) → A