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全等三角形练习6

全等三角形练习6
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2018-04-27 09:51
测试改名0变换几何作图
所属专题 Unit 5: Triangle Congruence Naming Congruent Triangles with Reasons Naming Congruent Triangles with Reasons Congruence cases
本示例演示如何命名全等三角形及其理由。用户可以移动、旋转和反射三角形。通过使用Polygon, Vector, Angle, Intersect, Textfield, Segment, Midpoint, Rotate等GeoGebra命令，可以构造和验证全等三角形。适合初中几何学习。

GeoGebra 命令及参数

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Vector(P, A) → u
  3. Vector(P, B) → v
  4. Vector(P, C) → w
  5. Polygon(A_1, B_1, C_1) → poly1_1, c_1, a_1, b_1
  6. Vector(P_1, A_1) → u_1
  7. Vector(P_1, B_1) → v_1
  8. Vector(P_1, C_1) → w_1
  9. Angle(B, A, C) → α
  10. Angle(A, C, B) → β
  11. Angle(A_1, C_1, B_1) → γ
  12. Angle(B_1, A_1, C_1) → δ
  13. Intersect(Circle[X_0, Side_b], Circle[Y_0, Side_a]) → Z_0, L, ,
  14. Polygon(X_0, Y_0, Z_0) → poly2, z_0, x_0, y_0
  15. Textfield(text13) → Ans1
  16. Textfield(text14) → Ans2
  17. Segment(D, E) → r
  18. Midpoint(Segment[Intersect[Circle[A, r], b], Intersect[Circle[A, r], c]]) → F
  19. Midpoint(Segment[Intersect[Circle[C, r], a], Intersect[Circle[C, r], b]]) → G
  20. Midpoint(Segment[Intersect[Circle[A_1, r], b_1], Intersect[Circle[A_1, r], c_1]]) → H
  21. Midpoint(Segment[Intersect[Circle[C_1, r], a_1], Intersect[Circle[C_1, r], b_1]]) → I
  22. Angle(A_1, B_1, C_1) → ε
  23. Angle(C, B, A) → ζ
  24. Midpoint(Segment[Intersect[Circle[B, r], a], Intersect[Circle[B, r], c]]) → J
  25. Midpoint(Segment[Intersect[Circle[B_1, r], a_1], Intersect[Circle[B_1, r], c_1]]) → K
  26. Rotate(Translate[Mirror[X_0, x = 0], translate], (-(180° - Angle[Y_0, X_0, Z_0])), (11, 0)) → X_1
  27. Rotate(Translate[Mirror[Y_0, x = 0], translate], (-(180° - Angle[Y_0, X_0, Z_0])), (11, 0)) → Y_1
  28. Rotate(Translate[Mirror[Z_0, x = 0], translate], (-(180° - Angle[Y_0, X_0, Z_0])), (11, 0)) → Z_1