对数运算性质（倒数关系）动态探究

GeoGebra 命令及参数

1. Textfield(a) → InputBox1
2. Textfield(f_1) → InputBox2
3. Textfield(f) → InputBox3
4. Intersect(f, h, 1) → E
5. Dilate(F, If[0 < d ≤ 1, 1 - d, 0], A) → F'
6. Dilate(A, If[1 < d ≤ 2, 2 - d, 0], B) → A'
7. Segment(A, A') → j
8. Dilate(B, If[2 < d ≤ 3, 3 - d, 0], G) → B'
9. Vector(B, B') → u
10. Translate(A, u) → A'_1
11. Translate(A', u) → A''
12. Segment(A'_1, A'') → j'
13. Rotate(A'_1, If[3 < d ≤ 4, ((-(d - 3)) * π / 2), ((-π)) / 2], F) → H
14. Rotate(A'', If[3 < d ≤ 4, ((-(d - 3)) * π / 2), ((-π)) / 2], F) → A'''
15. Segment(H, A''') → j''
16. Rotate(A'_1, If[3 < d ≤ 4, ((d - 3) * π / 2), π / 2], F) → I
17. Rotate(A'', If[3 < d ≤ 4, ((d - 3) * π / 2), π / 2], F) → A'''_1
18. Dilate(D, If[4 < d ≤ 5, 5 - d, 0], E) → D'
19. Segment(D, D') → l
20. Dilate(A, If[1 < d ≤ 2, 2 - d, 0], C) → A'_2
21. Segment(A, A'_2) → m
22. Dilate(A, If[2 < d ≤ 3, 3 - d, 0], R) → C'
23. Vector(C, C') → v
24. Intersect(f, p, 1) → N
25. Rotate(F, If[5 < d ≤ 6, ((d - 5) * π / 2), π / 2], F) → F'_1
26. Rotate(F', If[5 < d ≤ 6, ((d - 5) * π / 2), π / 2], F) → F''
27. Dilate(F, If[6 < d ≤ 7, 7 - d, 0], M) → F'_2
28. Vector(F, F'_2) → w
29. Translate(F'_1, w) → P
30. Translate(F'', w) → F'''
31. Distance(A, C) → distanceAC
32. Vector(A, A'_2) → i
33. Vector(A, C') → b_1
34. Translate(i, b_1) → i'
35. Dilate(W, If[6 < d ≤ 7, 7 - d, 0], L) → W'
36. Vector(W, W') → w_1
37. Distance(W, L) → distanceWL
38. Dilate(T, If[2 < d ≤ 3, 3 - d, 0], U) → T'
39. Vector(T, T') → e
40. Distance(T, U) → distanceTU
41. Rotate(C, If[3 < d ≤ 4, ((-(d - 3)) * π), (-π)], A) → C'_1
42. Vector(A, C'_1) → q
43. Dilate(A, If[4 < d ≤ 5, 5 - d, 0], T) → A'_3
44. Vector(A, A'_3) → u_1
45. Translate(C'_1, u_1) → Q
46. Vector(A'_3, Q) → v_1