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相似直角三角形演示 by Kirsten Erlandsen

相似直角三角形演示 by Kirsten Erlandsen
几何画板及绘图内容加载中，请稍等……
2019-02-12 04:41
测试改名0圆几何作图
①本范例演示相似直角三角形的性质与判定；②涉及核心概念：直角三角形相似判定、三角函数、面积关系；③作图要点：使用Segment、Midpoint、OrthogonalLine、Circle、Semicircle、Point、Intersect、Angle、Polygon、CircleSector、Dilate、Vector、Translate、Rotate、CircleArc等命令构建图形；④适合高中数学教学与几何作图练习。

GeoGebra 命令及参数

  1. Segment(A, B) → a
  2. Midpoint(a) → C_1
  3. OrthogonalLine(C_1, a) → b
  4. Circle(C_1, A) → c
  5. Semicircle(A, B) → d
  6. Point(d) → C
  7. Segment(A, C) → e
  8. Segment(C, B) → f
  9. OrthogonalLine(C, a) → g
  10. Intersect(g, a) → E
  11. Segment(C, E) → h
  12. Angle(B, E, C) → α
  13. Angle(A, C, B) → β
  14. Polygon(A, E, C) → poly1, d_1, a_1, e_1
  15. Polygon(E, B, C) → poly2, d_2, e_2, b_1
  16. Circle(A, 1) → k
  17. Circle(C, 1) → p
  18. Circle(B, 1) → q
  19. Intersect(p, e_1, 1) → F
  20. Intersect(a_1, b_1) → G
  21. Intersect(a_1, b_1) → H
  22. Intersect(p, h, 1) → I
  23. Intersect(p, f, 1) → J
  24. Intersect(q, a, 1) → K
  25. Intersect(q, f, 1) → L
  26. Intersect(k, a, 1) → M
  27. Intersect(k, e, 1) → N
  28. CircleSector(A, M, N) → r
  29. Dilate(C, If[-2 < i < -1, -1 - i, 0], E) → D'
  30. Segment(C, D') → j
  31. CircleSector(C, I, J) → s
  32. CircleSector(B, L, K) → t
  33. CircleSector(C, F, I) → c_1
  34. Angle(C, E, A) → γ
  35. Dilate(A, If[-0.5 < i < 0.5, 0.5 - i, 1], C) → A'
  36. Vector(A, A') → u
  37. Translate(r, u) → r'
  38. Rotate(r', If[-0.5 < i < 0.5, (((-(i + 0.5)) * 90))°], A') → r''
  39. CircleArc(A, M, N) → f_1
  40. Dilate(B, If[0.5 < i < 1.5, 1.5 - i], C) → B'
  41. Vector(B, B') → v
  42. Translate(t, v) → t'
  43. Rotate(t', If[0.5 < i < 1.5, (((i - 0.5) * 90))°], B') → t''
  44. CircleArc(B, L, K) → g_1
  45. Polygon(A, B, C) → poly3, d_3, a_2, b_2