勾股定理平铺演示 #133

GeoGebra 命令及参数

1. Line(A, B) → a
2. Line(C, D) → b
3. Point(b) → E
4. Point(b) → F
5. OrthogonalLine(E, b) → c
6. OrthogonalLine(D, b) → d
7. Point(c) → G
8. Point(c) → H
9. OrthogonalLine(H, c) → e
10. Point(c) → I
11. Point(c) → J
12. Point(c) → K
13. Point(c) → L
14. Point(d) → M
15. Line(J, M) → f
16. Point(d) → N
17. Line(K, N) → g
18. Point(d) → O
19. Line(L, O) → h
20. Point(f) → P
21. Line(C, P) → i
22. Point(d) → Q
23. Point(d) → R
24. Point(d) → S
25. Point(i) → T
26. Line(Q, T) → j
27. Point(i) → U
28. Line(R, U) → k
29. Point(i) → V
30. Line(S, V) → l
31. Point(j) → W
32. Point(h) → Z
33. Line(W, Z) → m
34. Point(j) → A_1
35. Point(h) → B_1
36. Line(A_1, B_1) → n
37. Point(e) → C_1
38. Point(g) → D_1
39. Point(c) → E_1
40. Point(d) → F_1
41. Segment(H, G_1) → p
42. Rotate(H, 270*°, G_1) → H'
43. Angle(H', G_1, H) → α
44. Segment(G_1, H') → q
45. Segment(H_1, D_1) → r
46. Segment(O, H_1) → s
47. Segment(I_1, N) → t
48. Segment(I_1, C_1) → a_1
49. Segment(J_1, C_1) → b_1
50. Segment(J_1, E) → c_1
51. Segment(K_1, H) → d_1
52. Segment(K_1, L_1) → e_1
53. Segment(L_1, C) → f_1
54. Segment(M_1, D) → g_1
55. Point(c) → N_1
56. Segment(M_1, N_1) → h_1
57. Intersect(d, e) → O_1
58. Segment(O_1, P_1) → i_1
59. Point(b) → Q_1
60. Segment(P_1, Q_1) → j_1
61. Segment(R_1, N_1) → k_1
62. Segment(R_1, E) → l_1
63. Segment(D, S_1) → m_1
64. Segment(S_1, Q_1) → n_1
65. Point(e_1) → T_1
66. Segment(T_1, O_1) → p_1
67. Segment(U_1, O_1) → q_1
68. Segment(U_1, V_1) → r_1
69. Segment(V_1, H) → s_1
70. Segment(W_1, K) → t_1
71. Segment(Z_1, W_1) → a_2
72. Intersect(e, i) → A_2
73. Segment(A_2, Z_1) → b_2
74. Segment(B_2, O_1) → c_2
75. Segment(C_2, B_2) → d_2
76. Intersect(h, i) → D_2
77. Segment(D_2, C_2) → e_2
78. Segment(E_2, K) → f_2
79. Segment(E_2, F_2) → g_2
80. Segment(F_2, Q) → h_2
81. Segment(O, G_2) → i_2
82. Point(c) → H_2
83. Segment(G_2, H_2) → j_2
84. Segment(L, I_2) → k_2
85. Point(j) → J_2
86. Segment(I_2, J_2) → l_2
87. Segment(L, K_2) → m_2
88. Segment(K_2, L_2) → n_2
89. Intersect(g, i) → M_2
90. Segment(L_2, M_2) → p_2
91. Intersect(b_1, h_1) → N_2
92. Polygon(R_1, E, J_1, N_2) → poly1, r_2, e_3, j_3, n_3
93. Intersect(h_1, j_1) → O_2
94. Polygon(M_1, O_2, S_1, D) → poly2, m_3, o_2, s_2, d_3
95. Intersect(e_1, j_1) → P_2
96. Polygon(P_1, P_2, T_1, O_1) → poly3, p_3, p_4, t_2, o_1
97. Intersect(b_1, e_1) → Q_2
98. Intersect(p, a_1) → R_2
99. Polygon(H, K_1, Q_2, R_2) → poly4, h_3, k_3, q_2, r_3
100. Intersect(q, a_2) → S_2
101. Intersect(r, f_2) → T_2
102. Polygon(K, W_1, S_2, T_2) → poly5, k_4, w_1, s_3, t_3
103. Point(a_2) → U_2
104. Intersect(a_1, a_2) → V_2
105. Polygon(N, U_2, V_2, I_1) → poly6, n_4, u_2, v_2, i_3
106. Intersect(b_1, i_1) → W_2
107. Intersect(a_1, r_1) → Z_2
108. Polygon(W_2, O_1, U_1, Z_2) → poly7, w_2, o_3, u_1, z_2
109. Intersect(q, r_1) → A_3
110. Polygon(V_1, A_3, S_2, G_1, H) → poly8, v_1, a_3, s_4, g_3, h_4
111. Point(n_2) → B_3
112. Intersect(r, n_2) → C_3
113. Polygon(O, B_3, C_3, H_1) → poly9, o, b_3, c_3, h_5
114. Intersect(g_2, n_2) → D_3
115. Intersect(g_2, k_2) → E_3
116. Polygon(D_3, E_3, L, K_2) → poly10, d_4, e_4, l_3, k_5
117. Segment(N, F_3) → f_3
118. Point(c) → G_3
119. Segment(G_3, F_3) → q_3
120. Segment(H_3, G_3) → a_4
121. Segment(K, H_3) → b_4
122. Point(g_2) → I_3
123. Polygon(H_3, I_3, E_2, K) → poly11, h_6, i_4, e_5, k_6
124. Point(r) → J_3
125. Intersect(q, t) → K_3
126. Polygon(J_3, K_3, N, F_3) → poly12, j_4, k_7, n_5, f_4
127. Intersect(c, j) → L_3
128. Segment(L_3, M_3) → c_4
129. Segment(M_3, N_3) → g_4
130. Segment(N_3, Q) → l_4
131. Segment(J_2, O_3) → m_4
132. Segment(O_3, L_3) → q_4
133. Segment(H_2, P_3) → r_4
134. Segment(P_3, L) → t_4
135. Intersect(l_2, g_4) → Q_3
136. Polygon(L_3, M_3, Q_3, O_3) → poly13, l_5, m_5, q_5, o_4
137. Intersect(j_2, l_2) → R_3
138. Polygon(P_3, R_3, I_2, L) → poly14, p_5, r_5, i_5, l_6
139. Intersect(g_2, j_2) → S_3
140. Intersect(s, g_2) → T_3
141. Polygon(S_3, T_3, O, G_2) → poly15, s_5, t_5, o_5, g_5
142. Intersect(g_2, g_4) → U_3
143. Polygon(N_3, Q, F_2, U_3) → poly16, n_6, q_6, f_5, u_3
144. Segment(D, V_3) → a_5
145. Segment(V_3, W_3) → b_5
146. Segment(W_3, M_2) → c_5
147. Segment(O_1, Z_3) → d_5
148. Point(i) → A_4
149. Segment(Z_3, A_4) → j_5
150. Segment(A_2, B_4) → a_6
151. Point(b) → C_4
152. Segment(B_4, C_4) → b_6
153. Segment(C_4, D_4) → c_6
154. Segment(D_4, C) → d_6
155. Segment(A_4, E_4) → e_6
156. Segment(E_4, A_2) → f_6
157. Segment(N, F_4) → g_6
158. Segment(F_4, G_4) → i_6
159. Segment(G_4, M_2) → j_6
160. Segment(O, H_4) → m_6
161. Point(i) → I_4
162. Segment(H_4, I_4) → p_6
163. Segment(N, J_4) → r_6
164. Segment(J_4, K_4) → s_6
165. Segment(K_4, T) → t_6
166. Intersect(e_1, g_1) → L_4
167. Intersect(e_1, b_5) → M_4
168. Polygon(L_4, D, V_3, M_4) → poly17, l_7, d_7, v_3, m_7
169. Intersect(e_1, b_6) → N_4
170. Polygon(D_4, C, L_1, N_4) → poly18, d_8, c_7, l_8, n_7
171. Intersect(j_5, b_6) → O_4
172. Polygon(E_4, A_2, B_4, O_4) → poly19, e_7, a_7, b_7, o_6
173. Intersect(b_5, j_5) → P_4
174. Intersect(c_2, b_5) → Q_4
175. Polygon(O_1, Z_3, P_4, Q_4) → poly20, o_7, z_3, p_7, q_7
176. Intersect(b_5, a_6) → R_4
177. Intersect(a_2, b_5) → S_4
178. Polygon(R_4, A_2, Z_1, S_4) → poly21, r_7, a_8, z_1, s_7
179. Intersect(b_5, i_6) → T_4
180. Polygon(G_4, M_2, W_3, T_4) → poly22, g_7, m_8, w_3, t_7
181. Intersect(d_2, i_6) → U_4
182. Intersect(d_2, r_6) → V_4
183. Polygon(N, F_4, U_4, V_4) → poly23, n_8, f_7, u_4, v_4
184. Intersect(q_1, a_2) → W_4
185. Intersect(a_2, d_2) → Z_4
186. Polygon(W_4, O_1, B_2, Z_4) → poly24, w_4, o_8, b_8, z_4
187. Intersect(d_2, c_5) → A_5
188. Intersect(d_2, n_2) → B_5
189. Polygon(A_5, B_5, L_2, M_2) → poly25, a_9, b_9, l_9, m_9
190. Intersect(d_2, p_6) → D_5
191. Polygon(C_5, D_5, C_2, D_2) → poly26, c_8, d_9, c_9, d_{10}
192. Point(s_6) → F_5
193. Segment(F_5, O) → h_7
194. Intersect(p_6, s_6) → G_5
195. Polygon(O, H_4, G_5, F_5) → poly27, o_9, h_8, g_8, f_8
196. Point(n_2) → H_5
197. Intersect(n_2, s_6) → I_5
198. Polygon(H_5, I_5, J_4, N) → poly28, h_9, i_7, j_7, n_9
199. Polygon(H_5, I_5, J_4, N) → poly29, h_{10}, i_8, j_8, n_{10}
200. Polygon(O, H_4, G_5, F_5) → poly30, o_{10}, h_{11}, g_9, f_9
201. Polygon(A_5, M_2, L_2, B_5) → poly31, a_{10}, m_{10}, l_{10}, b_{10}
202. Segment(N_3, J_5) → e_8
203. Point(i) → K_5
204. Segment(J_5, K_5) → k_8
205. Segment(D_2, L_5) → p_8
206. Intersect(d, g_4) → M_5
207. Segment(L_5, M_5) → q_8
208. Segment(K_5, N_5) → r_8
209. Segment(N_5, T) → s_8
210. Point(k_8) → P_5
211. Polygon(Q, O_5, P_5, J_5) → poly32, q_9, o_{11}, p_9, j_9
212. Intersect(i_2, g_4) → Q_5
213. Intersect(q_8, o_{11}) → S_5
214. Polygon(Q_5, O, R_5, S_5) → poly33, q_{10}, o_{12}, r_9, s_9
215. Intersect(e_2, s_6) → T_5
216. Intersect(s_6, q_8) → U_5
217. Polygon(T_5, D_2, L_5, U_5) → poly34, t_8, d_{11}, l_{11}, u_5
218. Intersect(s_6, k_8) → V_5
219. Polygon(N_5, T, K_4, V_5) → poly35, n_{11}, t_9, k_9, v_5
220. Segment(C, W_5) → e_9
221. Segment(W_5, Z_5) → i_9
222. Intersect(g, m) → A_6
223. Segment(Z_5, A_6) → c_{10}
224. Intersect(e, m) → C_6
225. Segment(B_6, C_6) → e_{10}
226. Intersect(b_2, i_6) → D_6
227. Segment(B_6, D_6) → f_{10}
228. Segment(A_2, E_6) → g_{10}
229. Segment(E_6, F_6) → i_{10}
230. Segment(F_6, Z) → j_{10}
231. Segment(D_2, G_6) → k_{10}
232. Point(m) → H_6
233. Segment(G_6, H_6) → p_{10}
234. Segment(A_6, I_6) → r_{10}
235. Intersect(p_2, p_6) → J_6
236. Segment(I_6, J_6) → s_{10}
237. Segment(M_2, K_6) → t_{10}
238. Segment(K_6, L_6) → a_{11}
239. Segment(L_6, W) → b_{11}
240. Segment(T, M_6) → c_{11}
241. Point(m) → N_6
242. Segment(M_6, N_6) → e_{11}
243. Segment(Z, O_6) → f_{11}
244. Intersect(k_8, p_8) → P_6
245. Segment(O_6, P_6) → g_{11}
246. Segment(D_2, Q_6) → i_{11}
247. Point(j) → R_6
248. Segment(Q_6, R_6) → j_{11}
249. Segment(R_6, S_6) → k_{11}
250. Segment(S_6, T) → m_{11}
251. Segment(T_6, N_6) → p_{11}
252. Segment(T_6, W) → q_{11}
253. Segment(U_6, H_6) → r_{11}
254. Segment(U_6, Z) → s_{11}
255. Segment(M_2, V_6) → t_{11}
256. Segment(V_6, W_6) → a_{12}
257. Segment(W_6, A_6) → b_{12}
258. Segment(C_6, Z_6) → c_{12}
259. Point(b) → A_7
260. Segment(Z_6, A_7) → d_{12}
261. Intersect(b, m) → B_7
262. Segment(B_7, C_7) → e_{12}
263. Segment(C_7, A_4) → f_{12}
264. Segment(A_7, D_7) → g_{12}
265. Segment(D_7, B_7) → h_{12}
266. Segment(E_4, E_7) → i_{12}
267. Segment(E_7, F_7) → j_{12}
268. Segment(F_7, C_6) → k_{12}
269. OrthogonalLine(R, d) → l_{12}
270. Intersect(f_1, j_5) → G_7
271. Intersect(i_9, f_{12}) → H_7
272. Polygon(G_7, C, W_5, H_7) → poly36, g_{13}, c_{13}, w_5, h_{13}
273. Intersect(d_{12}, f_{12}) → I_7
274. Polygon(I_7, D_7, B_7, C_7) → poly37, i_{13}, d_{13}, b_{13}, c_{14}
275. Intersect(d_{12}, j_{12}) → J_7
276. Polygon(Z_6, J_7, F_7, C_6) → poly38, z_6, j_{13}, f_{13}, c_{15}
277. Intersect(i_9, j_{12}) → K_7
278. Intersect(i_9, g_{10}) → L_7
279. Polygon(A_2, E_7, K_7, L_7) → poly39, a_{13}, e_{13}, k_{13}, l_{13}
280. Intersect(i_9, f_{10}) → M_7
281. Intersect(i_9, c_{12}) → N_7
282. Polygon(M_7, N_7, C_6, B_6) → poly40, m_{12}, n_{12}, c_{16}, b_{14}
283. Intersect(i_9, a_{12}) → O_7
284. Polygon(O_7, W_6, A_6, Z_5) → poly41, o_{13}, w_6, a_{14}, z_5
285. Intersect(i_{10}, a_{12}) → P_7
286. Intersect(i_{10}, t_{10}) → Q_7
287. Polygon(P_7, Q_7, M_2, V_6) → poly42, p_{12}, q_{12}, m_{13}, v_6
288. Intersect(f_{10}, i_{10}) → R_7
289. Polygon(D_6, A_2, E_6, R_7) → poly43, d_{14}, a_{15}, e_{14}, r_{12}
290. Intersect(i_{10}, p_{10}) → S_7
291. Polygon(U_6, Z, F_6, S_7) → poly44, u_6, z, f_{14}, s_{12}
292. Intersect(p_{10}, a_{11}) → T_7
293. Intersect(a_{11}, i_{11}) → U_7
294. Polygon(D_2, G_6, T_7, U_7) → poly45, d_{15}, g_{14}, t_{12}, u_7
295. Intersect(s_{10}, a_{11}) → V_7
296. Polygon(J_6, M_2, K_6, V_7) → poly46, j_{14}, m_{14}, k_{14}, v_7
297. Intersect(i_{10}, s_{10}) → W_7
298. Intersect(c_{10}, i_{10}) → Z_7
299. Polygon(W_7, Z_7, A_6, I_6) → poly47, w_7, z_7, a_{16}, i_{14}
300. Intersect(e_{11}, j_{11}) → A_8
301. Polygon(T, M_6, A_8, S_6) → poly48, t_{13}, m_{15}, a_{17}, s_{13}
302. Intersect(g_{11}, j_{11}) → B_8
303. Polygon(P_6, D_2, Q_6, B_8) → poly49, p_{13}, d_{16}, q_{13}, b_{15}
304. Intersect(j_{10}, a_{11}) → C_8
305. Intersect(a_{11}, g_{11}) → D_8
306. Polygon(C_8, Z, O_6, D_8) → poly50, c_{17}, z_8, o_{14}, d_{17}
307. Intersect(a_{11}, e_{11}) → E_8
308. Polygon(E_8, T_6, W, L_6) → poly51, e_{15}, t_{14}, w, l_{14}
309. Segment(E, B_7) → n_{13}
310. Segment(B_7, W) → r_{13}
311. Segment(W, L_3) → h_{14}
312. Segment(L_3, E) → n_{14}
313. Segment(Q, D) → p_{14}
314. Segment(C, T) → q_{14}
315. Segment(W, B_7) → r_{14}
316. Segment(C_6, H) → s_{14}
317. Segment(K, A_6) → f_{15}
318. Segment(Z, L) → g_{15}
319. Segment(W, L_3) → h_{15}