等腰梯形的性质与识别

GeoGebra 命令及参数

1. Polygon((-3, -1), (6, -1), (6, -3), (-3, -3)) → RegionBox1, j, k, l, m
2. PointIn(RegionBox1) → A_1
3. Polygon((x(A_1) + 1.5, 2.02), (8.56, 2.02), (8.56, 0.04), (x(A_1) + 1.5, 0.02)) → RegionBox2, c, d, e, f_1
4. SelectedIndex(drop5) → index5
5. SelectedIndex(drop2) → index2
6. SelectedIndex(drop1) → index1
7. SelectedIndex(drop3) → index3
8. SelectedIndex(drop4) → index4
9. Polygon((-3, 2), (7, 2), (7, 0.02), (-3, 0.02)) → RegionBox, f, g, h, i
10. PointIn(RegionBox1) → B
11. Segment(F, B - (0.5, 0)) → bf
12. PointIn(RegionBox) → D
13. Segment(D + (0.5, 0), E) → de
14. Point(de) → C
15. Segment(D, C) → cd
16. Point(bf) → A
17. Segment(D, A) → ad
18. Segment(A, B) → ab
19. Segment(C, B) → bc
20. Angle(B, A, D) → α
21. Angle(C, B, A) → β
22. Angle(D, C, B) → γ
23. Angle(A, D, C) → δ
24. Textfield(input1) → InputBox1
25. Textfield(input2) → InputBox2
26. PointIn(RegionBox2) → C_1
27. Segment(A_1, B_1) → ab_1
28. Segment(B_1, C_1) → bc_1
29. Segment(C_1, D_1) → cd_1
30. Segment(A_1, D_1) → ad_1
31. Angle(B_1, A_1, D_1) → ε
32. Angle(C_1, B_1, A_1) → ζ
33. Angle(D_1, C_1, B_1) → η
34. Angle(A_1, D_1, C_1) → θ
35. Segment(D_1, B_1) → diag1
36. Segment(A_1, C_1) → diag2
37. Sequence((0, y(D_1) + 0.5) + (i, 0), i, x(D_1) - 1, x(C_1) + 1, (lengthAB * 0.04)) → points
38. Sequence((0, y(A_1) - 0.5) + (i, 0), i, x(D_1) - 1, x(C_1) + 1, (lengthAB * 0.04)) → points2
39. Midpoint(A_1, B_1) → V
40. Midpoint(D_1, C_1) → G_1
41. Sequence((x(V) + ((lengthAB * j)) / 10, y(G_1) + 0.5), j, -5, 5) → punkteOben
42. Point(punkteOben) → Psym1
43. Sequence((x(V) + ((lengthAB * j)) / 10, y(V) - 0.5), j, -5, 5) → punkteUnten
44. Point(punkteUnten) → Psym2
45. Segment(Psym1, Psym2) → sym_{1}
46. Element(points, sym) → CorrSym
47. Segment(K, N) → n
48. Segment(N, M) → p
49. Segment(M, L) → q
50. Segment(L, K) → r
51. Segment(G, J) → s
52. Segment(J, I) → t
53. Segment(I, H) → a
54. Segment(H, G) → b
55. Segment((Midpoint[D, C] - 0.2, y(D) - 0.2), (Midpoint[D, C] + 0.2, y(D) + 0.2)) → parallel1
56. Segment(N, L) → g_1
57. Segment(M, K) → h_1
58. Intersect(diag1, diag2) → O
59. Midpoint(O, A_1) → mitte
60. Text(text21, Midpoint[O, B_1] + v, true, true, 0, 0) → text9
61. Angle(I, H, G) → ι
62. Angle(H, G, J) → κ
63. Angle(J, I, H) → λ
64. Angle(G, J, I) → μ
65. Angle(L, K, N) → ν
66. Angle(N, M, L) → ξ
67. Angle(M, L, K) → ο
68. Angle(K, N, M) → ρ
69. If(x(A) ≠ -0.72 ∨ x(B) ≠ 6 ∨ x(C) ≠ 5.03 ∨ x(D) ≠ 1, true, false) → moved
70. If(x(A_1) ≠ 0 ∨ x(C_1) ≠ 5 ∨ x(D_1) ≠ 1 ∨ x(B_1) ≠ 6, true, false) → moved2
71. OrthogonalLine(D, ab) → j_1
72. Segment(D, P) → k_1
73. OrthogonalLine(D_1, ab_1) → l_1
74. Intersect(l_1, ab_1) → Q
75. Segment(D_1, Q) → m_1
76. Angle(B_1, Q, D_1) → τ
77. Text(text20, Midpoint[O, A_1] + u, true, true, 1, 1) → text8
78. Angle(B + (10, 0), P, D) → σ
79. Segment(B, P) → n_1
80. SelectedIndex(drop7) → index7
81. Point(t) → W
82. OrthogonalLine(W, b) → p_1
83. Intersect(p_1, b) → Z
84. Segment(W, Z) → q_1
85. Angle(H, Z, W) → υ
86. Segment(G, I) → r_1
87. Segment(H, J) → s_1
88. Point(p) → E_1
89. OrthogonalLine(E_1, p) → t_1
90. Intersect(t_1, r) → F_1
91. Angle(L, F_1, E_1) → ϕ
92. Segment(E_1, F_1) → a_1
93. Segment(Midpoint[K, L] + (0, -0.5), Midpoint[M, N] + (0, 0.5)) → i_1
94. Segment(D + (0, 0.25), D + (0, lengthArrow)) → arrow1
95. Segment(C_1 + (0, 0.25), C_1 + (0, lengthArrow)) → arrow2
96. Rotate(arrow2, 270°, C_1) → arrow2'
97. Rotate(arrow2, 90°, C_1) → arrow2'_{1}
98. Rotate(arrow2, 180°, C_1) → arrow2'_{2}
99. Segment(A_1 + (1, -0.13), A_1 + (1, 0.13)) → b_1
100. Segment(A_1 + (1.1, -0.13), A_1 + (1.1, 0.13)) → c_1
101. Segment(D_1 + (1, -0.13), D_1 + (1, 0.13)) → d_1
102. Segment(D_1 + (1.1, -0.13), D_1 + (1.1, 0.13)) → e_1
103. Segment(Psym1 + (0.25, 0), Psym1 + (lengthArrow, 0)) → f_2
104. Segment(Psym1 + (-0.25, 0), Psym1 + ((-lengthArrow), 0)) → g_2
105. Segment(D + (0, 0.25), D + (0, lengthArrow)) → arrow1_{neu}
106. Rotate(arrow1_{neu}, 270°, D) → arrow1'
107. Rotate(arrow1_{neu}, 90°, D) → arrow1'_{1}
108. Rotate(arrow1_{neu}, 180°, D) → arrow1'_{2}
109. SelectedIndex(drop9) → index9
110. SelectedIndex(drop6) → index6
111. Segment(K + (3, -0.15), K + (3, 0.15)) → h_2
112. Segment(K + (3.1, -0.15), K + (3.1, 0.15)) → i_2
113. Segment(N + (2.3, -0.15), N + (2.3, 0.15)) → j_2
114. Segment(N + (2.4, -0.15), N + (2.4, 0.15)) → k_2