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直线函数下的面积

直线函数下的面积
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2015-11-27 19:00
函数微积分积分
本范例通过绘制直线函数下的面积，让学生观察并理解直线函数面积的变化规律。核心数学概念包括函数、几何作图和积分。使用了Point, Line, OrthogonalLine, Intersect, Circle, Ray, Polygon, Segment等GeoGebra命令。适合初中及以上学生学习函数图像和积分概念。

GeoGebra 命令及参数

  1. Point(yAxis) → A
  2. Point(yAxis) → B
  3. Point(yAxis) → C
  4. Point(xAxis) → D
  5. Point(xAxis) → E
  6. Point(xAxis) → F
  7. Point(xAxis) → G
  8. Point(xAxis) → H
  9. Point(xAxis) → I
  10. Point(yAxis) → K
  11. Point(yAxis) → L
  12. Point(yAxis) → M
  13. Line(M, xAxis) → a
  14. OrthogonalLine(M, a) → b
  15. Line(E, J) → c
  16. Point(b) → N
  17. Point(b) → O
  18. Point(a) → P
  19. Point(a) → Q
  20. Point(a) → R
  21. Point(a) → S
  22. Point(a) → T
  23. Point(a) → U
  24. Point(a) → V
  25. Point(a) → W
  26. Line(B, K) → d
  27. Line(A, O) → e
  28. Point(a) → Z
  29. OrthogonalLine(Z, c) → f
  30. Intersect(c, f) → A_1
  31. Circle(Z, (m * x(Z))) → g
  32. Intersect(g, f) → B_1, C_1
  33. Ray(M, C_1) → h
  34. Polygon(M, Z, C_1) → poly1, c_1, m_1, z
  35. Circle(A_1, ((m * x(B)) * x(b) / 2)) → k
  36. Circle(A_1, ((m * x(Z)) * x(Z) / 2)) → p
  37. Intersect(p, f) → D_1, E_1
  38. Segment(E_1, A_1) → i
  39. Segment(B, K) → j
  40. Segment(A, O) → l