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梯形变矩形

梯形变矩形
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2019-10-10 13:50
多边形变换几何作图
这个范例演示了如何通过旋转和移动点将梯形转化为矩形。核心数学概念包括几何变换和多边形性质。使用了Line, Point, Polygon, Midpoint, OrthogonalLine, Intersect, Rotate等GeoGebra命令。适合初中及以上学生学习几何变换和多边形性质。

GeoGebra 命令及参数

  1. Line(A, B) → f
  2. Line(C, f) → g
  3. Point(f) → D
  4. Point(f) → E
  5. Point(g) → F
  6. Point(g) → G
  7. Polygon(D, G, F, E) → q1, d, g_1, f_1, e
  8. Midpoint(D, G) → H
  9. Midpoint(E, F) → I
  10. OrthogonalLine(G, g_1) → h
  11. OrthogonalLine(F, g_1) → i
  12. Intersect(e, h) → J
  13. Intersect(e, i) → K
  14. Midpoint(G, J) → L
  15. Midpoint(F, K) → M
  16. Midpoint(D, J) → N
  17. Midpoint(K, E) → O
  18. Polygon(H, N, D) → t1, d_1, h_1, n
  19. Polygon(I, O, E) → t2, e_1, i_1, o
  20. Polygon(N, H, G, F, I, O) → poly1, n_1, h_2, g_2, f_2, i_2, o_1
  21. Rotate(H, (-left), H) → H'
  22. Rotate(N, (-left), H) → N'
  23. Rotate(D, (-left), H) → D'
  24. Polygon(H', N', D') → t1', d', h', n'
  25. Rotate(I, right, I) → I'
  26. Rotate(O, right, I) → O'
  27. Rotate(E, right, I) → E'
  28. Polygon(I', O', E') → t2', e', i', o'