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三角形不等式 by Breanna Davis

三角形不等式 by Breanna Davis
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2017-12-02 05:17
测试改名0不等式几何作图
①本范例演示三角形三边长度关系及不等式定理；②涉及核心数学概念为三角形不等式、几何作图；③作图要点：使用 GeoGebra 命令 Point（点）、Segment（线段）、Distance（距离）、Midpoint（中点）等构建三角形并验证不等式a+b>c；④适合初中及以上学生学习几何证明与不等式应用。

GeoGebra 命令及参数

  1. Point(Circle[A, 10]) → B
  2. Segment(A, B) → f
  3. Point(Circle[C, 9]) → D
  4. Segment(C, D) → g
  5. Point(Circle[E, 5]) → F
  6. Segment(E, F) → h
  7. Point(Circle[G, 6.5]) → H
  8. Segment(G, H) → i
  9. Point(Circle[I, 3]) → J
  10. Segment(I, J) → j
  11. Point(Circle[K, 4.8]) → L
  12. Segment(K, L) → k
  13. Point(Circle[M, 7]) → N
  14. Segment(M, N) → l
  15. Point(Circle[O, 8.1]) → P
  16. Segment(O, P) → m
  17. Point(Circle[Q, 4]) → R
  18. Segment(Q, R) → n
  19. Point(Circle[S, 5]) → T
  20. Segment(S, T) → p
  21. Point(Circle[U, 2.6]) → V
  22. Segment(U, V) → q
  23. Point(Circle[W, 1.9]) → Z
  24. Segment(W, Z) → r
  25. Point(Circle[A_1, 3.3]) → B_1
  26. Segment(A_1, B_1) → s
  27. Point(Circle[C_1, 5.8]) → D_1
  28. Segment(C_1, D_1) → t
  29. Point(Circle[E_1, 5]) → F_1
  30. Segment(E_1, F_1) → a
  31. Point(Circle[G_1, 8.2]) → H_1
  32. Segment(G_1, H_1) → b
  33. Point(Circle[I_1, 10.1]) → J_1
  34. Segment(I_1, J_1) → c
  35. Point(Circle[K_1, 5.6]) → L_1
  36. Segment(K_1, L_1) → d
  37. Point(Circle[M_1, 4.5]) → N_1
  38. Segment(M_1, N_1) → e
  39. Point(Circle[O_1, 3.2]) → P_1
  40. Segment(O_1, P_1) → f_1
  41. Point(Circle[Q_1, 1.5]) → R_1
  42. Segment(Q_1, R_1) → g_1
  43. Point(Circle[S_1, 2]) → T_1
  44. Segment(S_1, T_1) → h_1
  45. Point(Circle[U_1, 4.6]) → V_1
  46. Segment(U_1, V_1) → i_1
  47. Point(Circle[W_1, 3.7]) → Z_1
  48. Segment(W_1, Z_1) → j_1
  49. Point(Circle[A_2, 4]) → B_2
  50. Segment(A_2, B_2) → k_1
  51. Distance(U_1, d) → distanceU1d
  52. Midpoint(U_1, ClosestPoint[d, U_1]) →