复合图形面积计算

GeoGebra 命令及参数

1. Point(yAxis) → Z_1
2. Point(yAxis) → W_1
3. Polygon(W_1, Z_1, A_2, B_2, C_2, D_2, E_2, F_2) → poly7, w_1, z_2, a_2, b_2, c_2, d_2, e_2, f_2
4. Point(yAxis) → Q_1
5. Polygon(Q_1, R_1, S_1, T_1, U_1, V_1) → poly6, q_1, r_1, s_1, t_1, u_1, v_1
6. Point(yAxis) → H_1
7. Point(yAxis) → G_1
8. Polygon(G_1, H_1, I_1, J_1, K_1, L_1, O_1, P_1) → poly5, g_1, h_1, i_1, j_1, k_1, l_1, m_1, n_1
9. Point(xAxis) → D_1
10. Polygon(V, W, Z, A_1, B_1, C_1, D_1, E_1, F_1) → poly4, v, w, z_1, a_1, b_1, c_1, d_1, e_1, f_1
11. Intersect(xAxis, yAxis) → S
12. Point(yAxis) → N
13. Polygon(N, O, P, Q, R, S, T, U) → poly3, n, o, p, q, r, s, t, u
14. Point(yAxis) → H
15. Polygon(H, I, J, K, L, M) → poly2, h, i, j, k, l, m
16. Point(yAxis) → B
17. Point(yAxis) → A
18. Polygon(A, B, C, D, E, F, G) → poly1, a, b, c, d, e, f, g
19. LaTeX("Calculate\ the\ area\ of\ the\ composite\ shape\ by\ decomposing\ the\ shape\ into\ rectangles,\\ parallelograms,\, trapezoids,\, and\ triangles.") → Instructions1
20. LaTeX("\textbf{Instructions\text{:}}\ Use\ the\ grid\ to\ find\ the\ lengths\ of\ the\ sides.\, Enter\ the\ area\ in\ the\ input\ box.") → Instructions2
21. Textfield(StudentAns) → InputBox1
22. LaTeX("Area=") → AreaLabel
23. If(ShapeIndex ≟ 1, Area[poly1], If[ShapeIndex ≟ 2, Area[poly2], If[ShapeIndex ≟ 3, Area[poly3], If[ShapeIndex ≟ 4, Area[poly4], If[ShapeIndex ≟ 5, Area[poly5], If[ShapeIndex ≟ 6, Area[poly6], Area[poly7]]]]]]) → ShapeArea
24. LaTeX("\checkmark") → RightCheck
25. LaTeX("\times") → WrongCheck
26. If(StudentAnsNum < ShapeArea, LaTeX["small"], LaTeX["large"]) → problem
27. LaTeX("Please\ type\ a\ number\ into\\ the\ input\ box\ before\\ checking\ your\ answer.") → NotStartedFB
28. Intersect(t, u) → G_2
29. Intersect(o, p) → H_2
30. Segment(G_2, H_2) → S3L1
31. Intersect(s, t) → I_2
32. Segment(I_2, J_2) → S3L2
33. Intersect(m_1, n_1) → K_2
34. Point(h_1) → L_2
35. Segment(K_2, L_2) → S5L2
36. Intersect(k_1, l_1) → M_2
37. Point(h_1) → N_2
38. Segment(M_2, N_2) → S5L1
39. Point(e_2) → O_2
40. Intersect(b_2, c_2) → P_2
41. Segment(O_2, P_2) → S7L1
42. Segment(K_2, L_2) → S7L2
43. Intersect(h, i) → Q_2
44. Intersect(k, l) → R_2
45. Segment(Q_2, R_2) → S2L1
46. Intersect(a_1, b_1) → S_2
47. Segment(P_2, S_2) → S4L1
48. Intersect(d_1, e_1) → T_2
49. Segment(T_2, R_2) → S4L2
50. Intersect(u_1, v_1) → U_2
51. Segment(Q_2, U_2) → S6L1
52. Point(a) → V_2
53. Segment(V_2, R_2) → S1L2
54. Intersect(d, e) → W_2
55. Segment(W_2, Z_2) → S1L1
56. LaTeX("That\ is\ not\ correct.\\Please\ try\ again.") → KeepGoingFB
57. LaTeX("One\ possible\ decomposition\ has\\ been\ shown.\, Find\ the\ area\ of\ each \\ of\ the\ simple\ shapes\ and\ add\\ them\ together\ to\ find\ the\ area\ of\\ the\ composite\ shape.") → AnswerShownFB
58. Polygon((-2, 5.5), (20, 5.5), (20, 100), (-2, 100)) → White1, p_1, g_2, h_2, i_2
59. Polygon((7.5, 6), (20, 6), (20, -100), (7.5, -100)) → White2, j_2, k_2, l_2, m_2
60. LaTeX("units^2") → Units