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正方形与三角形面积

正方形与三角形面积
几何画板及绘图内容加载中，请稍等……
2017-04-13 06:54
测试改名0多边形几何作图
本范例演示正方形和三角形的面积计算。涉及的核心数学概念包括面积计算公式和相似三角形的性质。通过使用GeoGebra命令如Intersect、Point、Polygon等进行几何作图。适合初中及以上学生学习面积计算和相似三角形的相关知识。

GeoGebra 命令及参数

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Polygon(A, B, 4) → poly1, f, g, h, i, C, D
  4. Semicircle(A, B) → c
  5. Segment(D, B) → j
  6. Tangent(C, c) → k, p
  7. Intersect(c, k, 1) → E
  8. Segment(E, B) → l
  9. Intersect(c, j, 2) → F
  10. Segment(E, F) → m
  11. Segment(E, C) → n
  12. Polygon(E, F, B) → poly2, b, e, f_1
  13. Line(E, j) → q
  14. Intersect(f, q) → G
  15. If(1 ≤ a < 2, Polygon[F, Dilate[E, 2 - a, G], B], Polygon[F, G, B]) → poly3
  16. Midpoint(g) → H
  17. If(3 ≤ a < 4, Polygon[G, Dilate[F, 4 - a, H], B], Polygon[H, G, B]) → poly4
  18. Midpoint(G, B) → I
  19. If(5 ≤ a < 6, Segment[B, Dilate[B, 6 - a, I]], Segment[B, I]) → r
  20. If(5 ≤ a < 6, Segment[B, Dilate[B, 6 - a, H]], Segment[B, H]) → s
  21. If(7 ≤ a < 8, Rotate[r, ((-(a - 7)) * π), I], Segment[G, I]) → t
  22. If(7 ≤ a < 8, Rotate[s, ((a - 7) * π), H], Segment[H, C]) → d
  23. If(9 ≤ a < 10, Polygon[B, Dilate[G, 10 - a, I], Dilate[H, 10 - a, C]], Polygon[I, B, C]) → poly5
  24. If(11 ≤ a < 12, Rotate[poly5, ((a - 11) * π), Midpoint[I, C]], Rotate[poly5, ((12 - 11) * π), Midpoint[I, C]]) → poly6
  25. If(13 ≤ a < 14, Translate[{poly5, poly6}, Vector[((a - 13) * Vector[B, I])]], Translate[{poly5, poly6}, Vector[B, I]]) → list1
  26. If(13 ≤ a < 14, Translate[{poly5, poly6}, Vector[((2 * (a - 13)) * Vector[B, I])]], Translate[{poly5, poly6}, Vector[(2 * Vector[B, I])]]) → list2
  27. If(13 ≤ a < 14, Translate[{poly5, poly6}, Vector[((3 * (a - 13)) * Vector[B, I])]], Translate[{poly5, poly6}, Vector[(3 * Vector[B, I])]]) → list3
  28. If(13 ≤ a < 14, Translate[{poly5, poly6}, Vector[((4 * (a - 13)) * Vector[B, I])]], Translate[{poly5, poly6}, Vector[(4 * Vector[B, I])]]) → list4
  29. OrthogonalLine(F, i) → g_1