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全等与变换

全等与变换
几何画板及绘图内容加载中，请稍等……
2018-12-03 10:48
解析几何变换几何作图
本范例演示全等图形及其变换。核心数学概念包括全等、变换（镜像、旋转、缩放）等。通过使用GeoGebra命令如Polygon、Line、Mirror、Rotate、Dilate等，可以构造出全等图形及其变换过程。适合初中及以上学生学习几何变换。

GeoGebra 命令及参数

  1. Polygon(A, B, C) → t1, c_1, a_1, b_1
  2. Line(D, E) → f
  3. Mirror(A, f) → G
  4. Mirror(B, f) → H
  5. Mirror(C, f) → F
  6. Polygon(G, H, F) → t1', c', a', b'
  7. Polygon(B', C', A') → t2, k, i, j
  8. Textfield(A') → InputBox1
  9. Textfield(B') → InputBox2
  10. Textfield(C') → InputBox3
  11. Mirror(A, xAxis) → A'_1
  12. Mirror(B, xAxis) → B'_1
  13. Mirror(C, xAxis) → C'_1
  14. Polygon(A'_1, B'_1, C'_1) → t1'_1, c'_1, a'_1, b'_1
  15. Polygon(C'', A'', B'') → t3, k_1, i_1, j_1
  16. Textfield(A'') → InputBox4
  17. Textfield(B'') → InputBox5
  18. Textfield(C'') → InputBox6
  19. Polygon(I, J, K) → t4, k_2, i_2, j_2
  20. Polygon(I', K', J') → t5, n, l, m
  21. Intersect(xAxis, yAxis) → L
  22. Rotate(I, (-(90°)), L) → I'_1
  23. Rotate(J, (-(90°)), L) → J'_1
  24. Rotate(K, (-(90°)), L) → K'_1
  25. Polygon(I'_1, J'_1, K'_1) → t4', k'_1, i'_1, j'_1
  26. Rotate(I, 90°, L) → I'_2
  27. Rotate(J, 90°, L) → J'_2
  28. Rotate(K, 90°, L) → K'_2
  29. Polygon(I'_2, J'_2, K'_2) → t4'_1, k'_2, i'_2, j'_2
  30. Textfield(J') → InputBox7
  31. Textfield(K') → InputBox8
  32. Textfield(I') → InputBox9
  33. Polygon(M, N, O) → t6, o, m_1, n_1
  34. Textfield(M) → InputBox10
  35. Textfield(N) → InputBox11
  36. Textfield(O) → InputBox12
  37. Polygon(P, Q, R) → t7, r, p, q
  38. Polygon(P', R', Q') → t8, a_2, w, z_1
  39. Polygon(Z, A_1, B_1) → t9, b_2, z_2, a_3
  40. Dilate(Z, 2, W) → Z'
  41. Dilate(A_1, 2, W) → C_1
  42. Dilate(B_1, 2, W) → D_1
  43. Polygon(Z', C_1, D_1) → t9', d_1, z', c_2
  44. Polygon(E_1, F_1, G_1) → t10, g_1, e_1, f_1
  45. Textfield(E_1) → InputBox13
  46. Textfield(F_1) → InputBox14
  47. Textfield(G_1) → InputBox15