矩阵的几何性质

GeoGebra 命令及参数

1. Element(Reflections, (2 * indexreflection) - 1) → reflectiony1
2. Element(Reflections, (2 * indexreflection)) → reflectiony2
3. SelectedIndex(Listnames) → Indexnames
4. Intersect(xAxis, yAxis) → A
5. Circle(A, 1) → unitcircle
6. Intersect(unitcircle, xAxis, 1) → B
7. OrthogonalLine(B, xAxis) → f
8. Intersect(unitcircle, yAxis, 2) → C
9. OrthogonalLine(C, yAxis) → g
10. Intersect(unitcircle, yAxis, 1) → D
11. Intersect(unitcircle, xAxis, 2) → E
12. OrthogonalLine(E, xAxis) → h
13. OrthogonalLine(D, f) → i
14. Intersect(f, g) → F
15. Intersect(g, h) → G
16. Intersect(h, i) → H
17. Intersect(f, i) → I
18. Polygon(I, H, G, F) → poly1, i_1, h_1, g_1, f_1
19. Point(poly1) → P
20. Vector((0, 0), P') → u
21. Vector(TP) → Tu
22. Determinant(T) → det
23. ApplyMatrix(Tanimated, I) → I'
24. ApplyMatrix(Tanimated, H) → H'
25. ApplyMatrix(Tanimated, G) → G'
26. ApplyMatrix(Tanimated, F) → F'
27. Polygon(I', H', G', F') → poly1', i'_1, h'_1, g'_1, f'_1
28. Element(ListMatrixtext, Indexnames) → Ttext
29. Flatten(T) → list1
30. ApplyMatrix(T, I) → I'_1
31. ApplyMatrix(T, H) → H'_1
32. ApplyMatrix(T, G) → G'_1
33. ApplyMatrix(T, F) → F'_1
34. Polygon(I'_1, H'_1, G'_1, F'_1) → poly1'_1, i'_2, h'_2, g'_2, f'_2
35. Element(list1, 1) → a
36. Element(list1, 2) → b
37. Element(list1, 3) → c
38. Element(list1, 4) → d
39. Textfield(k) → InputBox2
40. Textfield(m) → InputBox4
41. ApplyMatrix(Tanimated, pic2) → pic2'
42. ApplyMatrix(T, pic2) → pic2'_1
43. Textfield(a11) → InputBox5
44. Textfield(a12) → InputBox6
45. Textfield(a21) → InputBox7
46. Textfield(a22) → InputBox8
47. Sequence(Sequence[(j, k), j, (-scale), scale, (2 * scale / grid)], k, (-scale), scale, (2 * scale / grid)) → pointsuv
48. ApplyMatrix(Tanimated, pointsuv) → pointsxy
49. Sequence(Line[Element[pointsxy, j, 1], Element[pointsxy, j, 2]], j, 1, grid + 1) → hlinesuv
50. Sequence(Line[Element[pointsxy, 1, j], Element[pointsxy, 2, j]], j, 1, grid + 1) → vlinesuv