积极 AI Logo 积极 AI

平行四边形、三角形、四边形面积

平行四边形、三角形、四边形面积
几何画板及绘图内容加载中，请稍等……
2017-04-09 03:49
多边形几何作图
本范例演示了平行四边形、三角形和四边形的面积计算。核心数学概念包括几何作图、面积公式和多边形。通过使用GeoGebra命令如Point、Segment、Polygon等，可以动态构造这些图形并计算其面积。适合初中及以上学生学习几何和面积计算。

GeoGebra 命令及参数

  1. Point(xAxis) → A
  2. Point(xAxis) → B
  3. Segment(A, C) → f
  4. Segment(B, C) → g
  5. Segment(A, B) → h
  6. Point(f) → D
  7. Line(D, h) → i
  8. Line(D, g) → j
  9. Intersect(j, h) → E
  10. Intersect(i, g) → F
  11. Segment(A, F) → k
  12. Segment(C, E) → l
  13. Intersect(k, l) → G
  14. Segment(E, D) → m
  15. Segment(B, F) → n
  16. Segment(D, F) → p
  17. Segment(E, B) → q
  18. Segment(A, G) → r
  19. Segment(G, C) → s
  20. Segment(G, F) → t
  21. Segment(G, E) → a
  22. Segment(A, E) → b
  23. Segment(F, C) → c
  24. Polygon(A, G, C) → poly1, c_1, a_1, g_1
  25. Polygon(E, G, F, B) → poly2, e, g_2, f_1, b_1
  26. Polygon(A, G, D) → poly3, d, a_2, g_3
  27. Polygon(G, D, C) → poly4, c_2, g_4, d_1
  28. Polygon(G, B, E) → poly5, e_1, g_5, b_2
  29. Polygon(G, F, B) → poly6, b_3, g_6, f_2
  30. Segment(D, G) → h_1
  31. Segment(G, B) → i_1
  32. Line(D, r) → j_1
  33. Line(A, B) → k_1
  34. Intersect(j_1, k_1) → H
  35. If(2 ≤ w < 3, Polygon[Dilate[D, 3 - w, H], A, G], Polygon[H, A, G]) → poly7
  36. If(4 ≤ w < 5, Polygon[G, Translate[Dilate[A, 5 - w, B], Vector[A, H]], Dilate[A, 5 - w, B]], Polygon[G, E, B]) → poly8
  37. Line(D, s) → l_1
  38. Line(C, B) → m_1
  39. Intersect(l_1, m_1) → I
  40. If(7 ≤ w < 8, Polygon[Dilate[D, 8 - w, I], C, G], Polygon[I, C, G]) → poly10
  41. If(9 ≤ w < 10, Polygon[G, Translate[Dilate[C, 10 - w, B], Vector[C, I]], Dilate[C, 10 - w, B]], Polygon[G, F, B]) → poly11