梯形几何构造教程

GeoGebra 命令及参数

1. Shuffle({1, 2, 3, 4, 5, 6, 7, 8, 9}) → bspList, {2, 9, 3, 4, 6, 5, 8, 1, 7}
2. Rotate(B, alph°, A) → B'
3. Ray(A, B') → rayD
4. Segment(A, B) → segA
5. Rotate(A, (-(bet°)), B) → A'
6. Ray(B, A') → rayB
7. Circle(B, sideB) → circleB
8. Intersect(circleB, rayB) → C,
9. Circle(C, sideC) → circleC
10. Point(circleC) → P
11. Point(circleC) → O
12. CircleArc(C, O, P) → zirkelC
13. Line(C, segA) → j
14. Intersect(j, rayD) → E
15. Segment(C + (1, 0), E - (1.5, 0)) → segC4
16. Intersect(zirkelC, segC4) → E_1,
17. Circle(A, sideD) → circleD
18. Intersect(circleD, rayD) → D,
19. Line(D, segA) → i
20. Intersect(i, rayB) → F
21. Angle(B, A, B') → α
22. Angle(A', B, A) → β
23. Angle(D, F, B) → γ
24. Angle(E, C, B) → ε
25. Angle(A, E, C) → ζ
26. Segment(A + (0, -0.15), A + (0, 0.15)) → segbeiA
27. Segment(B + (0, -0.15), B + (0, 0.15)) → segbeiB
28. Point(circleD) → G
29. Point(circleD) → H
30. CircleArc(A, G, H) → zirkelD
31. Point(i) → I
32. Point(i) → J
33. Segment(I, J) → segC
34. Ray(F, B) → rayB2
35. Circle(F, y(F)) → circleB2
36. Point(circleB2) → K
37. Point(circleB2) → L
38. CircleArc(F, K, L) → zirkelB
39. Point(circleB) → M
40. Point(circleB) → N
41. CircleArc(B, M, N) → zirkelB2
42. Intersect(zirkelC, segC) → Q,
43. Circle(PunktD2, sideD) → circleD1
44. Point(circleD1) → R
45. Point(circleD1) → S
46. Circle(F, sideB) → circleB3
47. Point(circleB3) → T
48. Point(circleB3) → U
49. CircleArc(F, T, U) → zirkelB3
50. Ray(PunktD2, A) → rayD2
51. CircleArc(PunktD2, R, S) → zirkelA
52. Intersect(zirkelA, rayD2) → PunktA5,
53. Segment(PunktA5 + (-1, 0), PunktA5 + (8, 0)) → segA5
54. Intersect(zirkelB3, segA5) → V,
55. Segment(F, V) → segB
56. Segment(E_1, A) → segD1
57. Point(Circle[D, sideC]) → A_1
58. Point(circleD1) → W
59. Point(circleD1) → Z
60. Rotate(PunktD2, gam°, PunktC2) → D'
61. Ray(PunktC2, D') → rayB3
62. Circle(PunktC2, sideB) → circleB4
63. Point(circleB4) → B_1
64. Point(circleB4) → C_1
65. Point(circleB4) → M_1
66. CircleArc(PunktC2, B_1, M_1) → zirkleB4
67. Intersect(zirkleB4, rayB3) → PunktB2,
68. Segment(A, PunktB2) → segA3
69. Point(circleB4) → F_1
70. Point(circleB4) → G_1
71. Segment(PunktB2 - (6, 0), (6, y(PunktB2))) → segA4
72. Intersect(rayD2, segA4) → H_1
73. Segment(A, D) → segD2_{1}
74. Segment(B, F) → segB1
75. Segment(F, D) → segC5
76. Circle(PunktC2, sideB) → c
77. Point(c) → D_1
78. Point(c) → N_1
79. CircleArc(PunktC2, D_1, N_1) → d
80. Intersect(d, segA5) → PunktB5,
81. Segment(D, H_1) → segD4
82. Segment(H_1, PunktB2) → segA6
83. Segment(B, C) → segB3
84. Segment(A, E) → segD5_{1}
85. Segment(C, E) → segC6
86. Segment(B, C) → segB4
87. Segment(C, E_1) → segC7
88. Segment(A_1, PunktB2) → segB5_{1}
89. Polygon(I_1, J_1, K_1, L_1) → q1, i_1, j_1, k_1, l_1
90. Angle(PunktB2, A, D) → θ
91. Angle(A_1, PunktB2, A) → ι
92. Angle(A, E, C) → κ
93. Angle(E, C, B) → λ
94. Angle(V, A, D) → μ
95. Angle(F, V, A) → ν
96. Angle(D, F, V) → ξ
97. Angle(A, D, F) → ο
98. Angle(D, F, B) → ρ
99. Angle(B, A, E_1) → σ
100. Angle(A, E_1, C) → τ
101. Angle(E_1, C, B) → υ
102. Angle(PunktB2, H_1, D) → ψ
103. Angle(A_1, PunktB2, H_1) → ω
104. Rotate(PunktC2, ((-delt))°, PunktD2) → PunktC2'
105. Ray(PunktD2, PunktC2') → f
106. Intersect(f, segA4) → PunktA2
107. Segment(PunktA2, PunktB2) → segA2
108. Segment(C - (6, 0), C + (1, 0)) → segC4_1
109. Intersect(zirkelC, segC4_1) → PunktD4,
110. Segment(A, PunktD4) → segD4_1
111. Segment(PunktC2 + (0, -0.15), PunktC2 + (0, 0.15)) → segbeiC2
112. Segment(PunktD2 + (0, -0.15), PunktD2 + (0, 0.15)) → segbeiD2
113. Segment(PunktD2, PunktC2) → segC3
114. Angle(PunktD2, PunktC2, D') → η
115. Segment(PunktC2, PunktB2) → segB2
116. Angle(PunktC2, PunktD2, PunktC2') → α_1
117. Segment(PunktA2, PunktD2) → segD2
118. Angle(PunktB2, PunktA2, PunktD2) → β_1
119. Angle(PunktA2, PunktD2, PunktC2) → γ_1
120. Angle(PunktC2, PunktB2, PunktA2) → δ_1
121. Segment(PunktD4, C) → segC4_2
122. Angle(B, A, PunktD4) → ε_1
123. Angle(A, PunktD4, C) → ζ_1
124. Angle(PunktD4, C, B) → η_1
125. Angle(A, PunktD2, PunktC2) → δ
126. Segment(PunktA5, PunktD2) → segD5
127. Segment(PunktA5, PunktB5) → segA5_1
128. Segment(PunktC2, PunktB5) → segB5
129. Angle(PunktB5, PunktA5, PunktD2) → θ_1
130. Angle(PunktC2, PunktB5, PunktA5) → ι_1
131. Angle(PunktD2, PunktC2, PunktB5) → κ_1
132. Segment((-1, 5), (8, 5)) → h
133. Intersect(rayD, h) → O_1
134. Intersect(h, rayB) → P_1
135. Circle(B, sideEFH) → e
136. Point(e) → Q_1
137. Point(e) → R_1
138. CircleArc(B, Q_1, R_1) → p
139. Intersect(p, zirkelD) → S_1, C_2, ,
140. Segment(C_2, Point[Circle[C_2, 3.5]]) → segC2
141. Segment(B, P_1) → l
142. Segment(S_2, B) → q
143. Segment((-1, -0.8), (10, -0.8)) → g_1
144. Rotate(PunktD2, gam°, PunktC2) → PunktC2'_{1}
145. Ray(PunktC2, PunktC2'_{1}) → h_1
146. Intersect(h_1, g_1) → W_1
147. Rotate(PunktC2, (-(delt°)), PunktD2) → PunktC2'_{2}
148. Ray(PunktD2, PunktC2'_{2}) → n_1
149. Intersect(n_1, g_1) → Z_1
150. Segment(W_1, Z_1) → q_1
151. Circle(A, sideEFH) → r
152. Point(r) → T_1
153. Point(r) → U_1
154. CircleArc(A, T_1, U_1) → s
155. Intersect(s, zirkelB2) → V_1, , ,
156. Segment(A, V_2) → b
157. Segment((4.2, -2), (4.2, 6)) → g
158. Segment(A, O_1) → k
159. Segment(A, S_1) → m
160. Segment(S_1, S_1 + (sideC, 0)) → n
161. Angle(B, A, S_1) → ϕ
162. Angle(S_2, B, A) → χ
163. Angle(S_1, S_2, B) → λ_1
164. Angle(A, S_1, S_2) → μ_1
165. Segment(B, V_1) → t
166. Segment(V_1, V_1 - (sideC, 0)) → a
167. Angle(B, A, V_2) → ν_1
168. Angle(A, V_2, V_1) → ξ_1
169. Angle(V_2, V_1, B) → ο_1
170. Angle(V_1, B, A) → ρ_1
171. OrthogonalLine((4, 2), segC3) → f_1
172. Angle(PunktD2, PunktC2, PunktC2'_{1}) → σ_1
173. Segment(PunktC2, W_1) → m_1
174. Angle(PunktC2'_{2}, PunktD2, PunktC2) → τ_1
175. Segment(PunktD2, Z_1) → p_1
176. Angle(W_1, Z_1, PunktD2) → υ_1
177. Angle(PunktC2, W_1, Z_1) → ϕ_1
178. Segment(A + (0, 0.12), A - (0, 0.12)) → seg1
179. Segment(B + (0, 0.12), B - (0, 0.12)) → seg2
180. Segment(PunktC2 + (0, 0.13), PunktC2 - (0, 0.13)) → seg3
181. Segment(PunktD2 + (0, 0.13), PunktD2 - (0, 0.13)) → seg4
182. Segment(O_1, P_1) → segCD
183. Angle(O_1, P_1, B) → χ_1
184. Angle(A, O_1, P_1) → ψ_1