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特殊四边形定理1

特殊四边形定理1
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2017-02-09 03:40
多边形变换几何作图
所属专题 Congruence (CO) Cluster Congruence (Vol 2) CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 Gail LeBlancCCSS High School: Geometry (Congruence) Volume 2 Unit 7: Polygons and Quadrilaterals Quadrilaterals
本范例演示特殊四边形定理1，涉及旋转、线段、圆等几何概念。通过旋转、线段构造、圆等命令，动态展示四边形的性质。适合初中及以上学生学习几何变换与四边形性质。

GeoGebra 命令及参数

  1. Rotate(B, a°, A) → B'
  2. Angle(B, A, B') → α
  3. Ray(A, B) → f
  4. Ray(A, B') → g
  5. Line(B, g) → h
  6. Point(g) → C
  7. Line(C, f) → i
  8. Intersect(h, i) → D
  9. Segment(C, D) → j
  10. Segment(A, B) → k
  11. Segment(B, D) → l
  12. Segment(A, C) → m
  13. Min(m, k) → b
  14. Circle(C, (0.2 * b)) → d
  15. Circle(A, (0.2 * b)) → e
  16. Circle(B, (0.2 * b)) → p
  17. Circle(D, (0.2 * b)) → c
  18. Intersect(e, k, 1) → E
  19. Intersect(e, m, 1) → F
  20. Intersect(p, k, 1) → G
  21. Intersect(p, l, 1) → H
  22. Intersect(d, g, 2) → I
  23. Ray(C, I) → q
  24. Intersect(c, h, 2) → J
  25. Ray(D, J) → r
  26. Intersect(c, i, 2) → K
  27. Ray(D, K) → s
  28. Dilate(A, If[0 < o ≤ 1, 1 - o, 0], B) → A'
  29. Segment(A, A') → t
  30. Rotate(E, If[1 < o ≤ 2, ((o - 1) * α), α], A) → E'
  31. Dilate(A, If[1 < o ≤ 2, 2 - o, 0], C) → A'_1
  32. Vector(A, A'_1) → u
  33. Segment(A, A'_1) → f_1
  34. Dilate(C, If[2 < o ≤ 3, 3 - o, 0], D) → C'
  35. Vector(C, C') → v
  36. Segment(C, C') → g_1
  37. Dilate(D, If[3 < o ≤ 4, 4 - o, 0], B) → D'
  38. Segment(D, D') → h_1
  39. Polygon(A, B, D, C) → poly1, a_1, b_1, d_2, c_2
  40. Dilate(A, If[5.5 < o ≤ 6.5, 6.5 - o, 0], C) → A'_2
  41. Vector(A, A'_2) → w
  42. Translate(A, w) → A'_3
  43. Translate(A', w) → A''
  44. Dilate(A, If[5 < o ≤ 6, 6 - o, 0], B) → A'_4
  45. Vector(A, A'_4) → u_1
  46. Translate(A, u_1) → A'_5
  47. Translate(A'_1, u_1) → L
  48. Segment(A'_5, L) → i_1
  49. Dilate(A, If[4 < o ≤ 5, 5 - o, 0], C) → A'_6
  50. Vector(A, A'_6) → v_1
  51. Translate(A, v_1) → A'_7
  52. Translate(A', v_1) → A''_1
  53. Segment(A'_7, A''_1) → t'_1
  54. Rotate(E, If[6.5 < o ≤ 7.5, ((o - 6.5) * α), α], A) → E'_1
  55. CircleSector(A, E, E'_1) → c_1
  56. Dilate(A, If[7.5 < o ≤ 8.5, 8.5 - o, 0], C) → A'_8
  57. Vector(A, A'_8) → w_1
  58. Translate(c_1, w_1) → d_1
  59. Dilate(C, If[8.5 < o ≤ 9.5, 9.5 - o, 0], D) → C'_1
  60. Vector(C, C'_1) → e_1
  61. Translate(d_1, e_1) → k_1