圆面积探索活动

GeoGebra 命令及参数

1. If(2 < a < 3, Translate[h, (((0.9 * pi) * (a - 2)), 0)]) → e_2
2. Center(e_2) → Q_1
3. Segment(A, B) → a_1
4. Dilate(D, If[0 < a < 1, 1 - a, 1], B) → D'
5. Intersect(c, yAxis, 2) → E
6. Point(yAxis) → F
7. Translate(c, If[0 < a < 1, ((pi * a), 0)]) → c'
8. Center(c') → G
9. Segment(D, D') → d
10. Mirror(D, f) → D'_1
11. Mirror(D', f) → D''
12. Segment(D'_1, D'') → d'
13. Intersect(g, f, 2) → J
14. Mirror(K, f) → K'
15. Mirror(L, f) → L'
16. Mirror(N, f) → N'
17. Mirror(P, f) → P'
18. Mirror(Q, f) → Q'
19. Mirror(R, f) → R'
20. Mirror(S, f) → S'
21. Mirror(T, f) → T'
22. Mirror(U, f) → U'
23. Mirror(V, f) → V'
24. Mirror(W, f) → W'
25. Mirror(Z, f) → Z'
26. Mirror(A_1, f) → M
27. Mirror(B_1, f) → O
28. Mirror(C_1, f) → H_1
29. Mirror(D_1, f) → I_1
30. Mirror(E_1, f) → J_1
31. Mirror(F_1, f) → K_1
32. Mirror(G_1, f) → L_1
33. Dilate(J, If[1 < a < 2, 2 - a, 1], K) → J'
34. If(1 < a < 2, Translate[g, (((0.95 * pi) * (a - 1)), 0)]) → t_1
35. Center(t_1) → N_1
36. Segment(J, J') → j
37. Mirror(J', f) → J''_1
38. Segment(J, J''_1) → b_1
39. Mirror(J, f) → J'_1
40. Mirror(J', f) → J''_2
41. Segment(K', K) → m
42. Intersect(g, f, 1) → I
43. Intersect(h, f) → M_1, O_1
44. Intersect(k, f) → P_1, R_1
45. Intersect(p, f) → S_1, T_1
46. If(1 < a < 2, Translate[I, (((0.95 * pi) * (a - 1)), 0)]) → U_1
47. Rotate(U_1, ((1 - a) * 180°), N_1) → V_1
48. CircleArc(N_1, J', V_1) → c_2
49. Mirror(c_2, f) → d_2
50. If(2 < a < 3, Translate[M_1, (((0.9 * pi) * (a - 2)), 0)]) → W_1
51. Dilate(O_1, If[2 < a < 3, 3 - a, 1], L) → Z_1
52. Rotate(W_1, ((2 - a) * 180°), Q_1) → A_2
53. CircleArc(Q_1, Z_1, A_2) → f_2
54. Segment(O_1, Z_1) → n
55. Mirror(f_2, f) → g_2
56. Mirror(O_1, f) → B_2
57. Mirror(Z_1, f) → C_2
58. Segment(B_2, C_2) → n'
59. Segment(L', L) → j_1
60. Segment(N', N) → l_1
61. Intersect(k, f, 1) → D_2
62. Dilate(R_1, If[3 < a < 4, 4 - a, 1], N) → E_2
63. If(3 < a < 4, Translate[k, (((0.85 * pi) * (a - 3)), 0)]) → h_2
64. Center(h_2) → F_2
65. If(3 < a < 4, Translate[D_2, (((0.85 * pi) * (a - 3)), 0)]) → G_2
66. Rotate(G_2, ((3 - a) * 180°), F_2) → H_2
67. CircleArc(F_2, E_2, H_2) → k_2
68. Segment(R_1, E_2) → m_1
69. Mirror(k_2, f) → p_2
70. Mirror(R_1, f) → I_2
71. Mirror(E_2, f) → J_2
72. Segment(I_2, J_2) → n_1
73. Intersect(f, yAxis) → K_2
74. Intersect(f, yAxis) → L_2
75. Intersect(f, yAxis) → M_2
76. Intersect(c, f) → N_2, O_2
77. If(0 < a < 1, Translate[N_2, ((a * pi), 0)]) → P_2
78. Rotate(P_2, If[0 < a < 1, ((-a) * 180°)], C) → H
79. CircleArc(C, D', H) → e
80. Mirror(e, f) → e'
81. Intersect(q, f) → Q_2, R_2
82. Intersect(f, yAxis) → S_2
83. Intersect(f, yAxis) → T_2
84. Intersect(f, yAxis) → U_2
85. Intersect(f, yAxis) → V_2
86. Intersect(f, yAxis) → W_2
87. Intersect(f, yAxis) → Z_2
88. Intersect(f, yAxis) → A_3
89. Intersect(r, s) → B_3, , ,
90. Intersect(f, yAxis) → C_3
91. Intersect(r, f, 1) → D_3
92. Intersect(s, f, 1) → E_3
93. Intersect(t, f, 1) → F_3
94. Intersect(c_1, f, 1) → G_3
95. Intersect(d_1, f, 1) → H_3
96. Intersect(e_1, f, 1) → I_3
97. Intersect(f_1, f, 1) → J_3
98. Intersect(g_1, f, 1) → K_3
99. Intersect(h_1, f, 1) → L_3
100. Intersect(k_1, f, 1) → M_3
101. Intersect(p_1, f, 1) → N_3
102. Intersect(q_1, f, 1) → O_3
103. Intersect(r_1, f, 1) → P_3
104. Intersect(s_1, f, 1) → Q_3
105. Intersect(s_1, f, 2) → R_3
106. Intersect(r_1, f, 2) → S_3
107. Intersect(q_1, f, 2) → T_3
108. Intersect(f, yAxis) → U_3
109. Intersect(p_1, f, 2) → V_3
110. Intersect(k_1, f, 2) → W_3
111. Intersect(h_1, f, 2) → Z_3
112. Intersect(g_1, f, 2) → A_4
113. Intersect(f_1, f, 2) → B_4
114. Intersect(e_1, f, 2) → C_4
115. Intersect(d_1, f, 2) → D_4
116. Intersect(c_1, f, 2) → E_4
117. Intersect(t, f, 2) → F_4
118. Intersect(s, f, 2) → G_4
119. Intersect(r, f, 2) → H_4
120. Dilate(T_1, If[4 < a < 5, 5 - a, 1], P) → I_4
121. Dilate(R_2, If[5 < a < 6, 6 - a, 1], Q) → J_4
122. Segment(T_1, I_4) → a_2
123. Mirror(T_1, f) → K_4
124. Mirror(I_4, f) → L_4
125. Segment(K_4, L_4) → b_2
126. Segment(P', P) → i_2
127. Segment(Q', Q) → j_2
128. Segment(R', R) → l_2
129. Segment(S', S) → m_2
130. Segment(T', T) → n_2
131. Segment(U', U) → q_2
132. Segment(V', V) → r_2
133. Segment(W', W) → s_2
134. Segment(Z', Z) → t_2
135. Segment(M, A_1) → a_3
136. Segment(O, B_1) → b_3
137. Segment(H_1, C_1) → c_3
138. Segment(I_1, D_1) → d_3
139. Segment(J_1, E_1) → e_3
140. Segment(K_1, F_1) → f_3
141. Segment(L_1, G_1) → g_3
142. Segment(R_2, J_4) → h_3
143. Dilate(H_4, If[6 < a < 7, 7 - a, 1], R) → M_4
144. Segment(H_4, M_4) → i_3
145. Dilate(G_4, If[7 < a < 8, 8 - a, 1], S) → N_4
146. Segment(G_4, N_4) → j_3
147. Dilate(F_4, If[8 < a < 9, 9 - a, 1], T) → O_4
148. Segment(F_4, O_4) → k_3
149. Dilate(E_4, If[9 < a < 10, 10 - a, 1], U) → P_4
150. Segment(E_4, P_4) → l_3
151. Dilate(D_4, If[10 < a < 11, 11 - a, 1], V) → Q_4
152. Segment(D_4, Q_4) → m_3
153. Dilate(C_4, If[11 < a < 12, 12 - a, 1], W) → R_4
154. Segment(C_4, R_4) → n_3
155. Dilate(B_4, If[12 < a < 13, 13 - a, 1], Z) → S_4
156. Segment(B_4, S_4) → p_3
157. Dilate(A_4, If[13 < a < 14, 14 - a, 1], A_1) → T_4
158. Segment(A_4, T_4) → q_3
159. Dilate(Z_3, If[14 < a < 15, 15 - a, 1], B_1) → U_4
160. Segment(Z_3, U_4) → r_3
161. Dilate(W_3, If[15 < a < 16, 16 - a, 1], C_1) → V_4
162. Segment(W_3, V_4) → s_3
163. Dilate(V_3, If[16 < a < 17, 17 - a, 1], D_1) → W_4
164. Segment(V_3, W_4) → t_3
165. Dilate(T_3, If[17 < a < 18, 18 - a, 1], E_1) → Z_4
166. Segment(T_3, Z_4) → a_4
167. Dilate(S_3, If[18 < a < 19, 19 - a, 1], F_1) → A_5
168. Segment(S_3, A_5) → b_4
169. Dilate(R_3, If[19 < a < 20, 20 - a, 1], G_1) → B_5
170. Segment(R_3, B_5) → c_4
171. If(4 < a < 5, Translate[p, (((0.8 * pi) * (a - 4)), 0)]) → d_4
172. If(4 < a < 5, Translate[S_1, (((0.8 * pi) * (a - 4)), 0)]) → C_5
173. Center(d_4) → D_5
174. Rotate(C_5, ((4 - a) * 180°), D_5) → E_5
175. CircleArc(D_5, I_4, E_5) → e_4
176. If(5 < a < 6, Translate[q, (((0.75 * pi) * (a - 5)), 0)]) → f_4
177. If(5 < a < 6, Translate[Q_2, (((0.75 * pi) * (a - 5)), 0)]) → F_5
178. Center(f_4) → G_5
179. Rotate(F_5, ((5 - a) * 180°), G_5) → H_5
180. CircleArc(G_5, J_4, H_5) → g_4
181. If(6 < a < 7, Translate[r, (((0.7 * pi) * (a - 6)), 0)]) → h_4
182. If(6 < a < 7, Translate[D_3, (((0.7 * pi) * (a - 6)), 0)]) → I_5
183. Center(h_4) → J_5
184. Rotate(I_5, ((6 - a) * 180°), J_5) → K_5
185. CircleArc(J_5, M_4, K_5) → k_4
186. If(7 < a < 8, Translate[s, (((0.65 * pi) * (a - 7)), 0)]) → p_4
187. If(7 < a < 8, Translate[E_3, (((0.65 * pi) * (a - 7)), 0)]) → L_5
188. Center(p_4) → M_5
189. Rotate(L_5, ((7 - a) * 180°), M_5) → N_5
190. CircleArc(M_5, N_4, N_5) → q_4
191. If(8 < a < 9, Translate[t, (((0.6 * pi) * (a - 8)), 0)]) → r_4
192. If(8 < a < 9, Translate[F_3, (((0.6 * pi) * (a - 8)), 0)]) → O_5
193. Center(r_4) → P_5
194. Rotate(O_5, ((8 - a) * 180°), P_5) → Q_5
195. CircleArc(P_5, O_4, Q_5) → s_4
196. If(9 < a < 10, Translate[c_1, (((0.55 * pi) * (a - 9)), 0)]) → t_4
197. If(9 < a < 10, Translate[G_3, (((0.55 * pi) * (a - 9)), 0)]) → R_5
198. Center(t_4) → S_5
199. Rotate(R_5, ((9 - a) * 180°), S_5) → T_5
200. CircleArc(S_5, P_4, T_5) → c_5
201. If(10 < a < 11, Translate[d_1, (((0.5 * pi) * (a - 10)), 0)]) → d_5
202. If(10 < a < 11, Translate[H_3, (((0.5 * pi) * (a - 10)), 0)]) → U_5
203. Center(d_5) → V_5
204. Rotate(U_5, ((10 - a) * 180°), V_5) → W_5
205. CircleArc(V_5, Q_4, W_5) → e_5
206. If(11 < a < 12, Translate[e_1, (((0.45 * pi) * (a - 11)), 0)]) → f_5
207. If(11 < a < 12, Translate[I_3, (((0.45 * pi) * (a - 11)), 0)]) → Z_5
208. Center(f_5) → A_6
209. Rotate(Z_5, ((11 - a) * 180°), A_6) → B_6
210. CircleArc(A_6, R_4, B_6) → g_5
211. If(12 < a < 13, Translate[f_1, (((0.4 * pi) * (a - 12)), 0)]) → h_5
212. If(12 < a < 13, Translate[J_3, (((0.4 * pi) * (a - 12)), 0)]) → C_6
213. Center(h_5) → D_6
214. Rotate(C_6, ((12 - a) * 180°), D_6) → E_6
215. CircleArc(D_6, S_4, E_6) → k_5
216. If(13 < a < 14, Translate[g_1, (((0.35 * pi) * (a - 13)), 0)]) → p_5
217. If(13 < a < 14, Translate[K_3, (((0.35 * pi) * (a - 13)), 0)]) → F_6
218. Center(p_5) → G_6
219. Rotate(F_6, ((13 - a) * 180°), G_6) → H_6
220. CircleArc(G_6, T_4, H_6) → q_5
221. If(14 < a < 15, Translate[h_1, (((0.3 * pi) * (a - 14)), 0)]) → r_5
222. If(14 < a < 15, Translate[L_3, (((0.3 * pi) * (a - 14)), 0)]) → I_6
223. Center(r_5) → J_6
224. Rotate(I_6, ((14 - a) * 180°), J_6) → K_6
225. CircleArc(J_6, U_4, K_6) → s_5
226. If(15 < a < 16, Translate[k_1, (((0.25 * pi) * (a - 15)), 0)]) → t_5
227. If(15 < a < 16, Translate[M_3, (((0.25 * pi) * (a - 15)), 0)]) → L_6
228. Center(t_5) → M_6
229. Rotate(L_6, ((15 - a) * 180°), M_6) → N_6
230. CircleArc(M_6, V_4, N_6) → c_6
231. If(16 < a < 17, Translate[p_1, (((0.2 * pi) * (a - 16)), 0)]) → d_6
232. If(16 < a < 17, Translate[N_3, (((0.2 * pi) * (a - 16)), 0)]) → O_6
233. Center(d_6) → P_6
234. Rotate(O_6, ((16 - a) * 180°), P_6) → Q_6
235. CircleArc(P_6, W_4, Q_6) → e_6
236. If(17 < a < 18, Translate[q_1, (((0.15 * pi) * (a - 17)), 0)]) → f_6
237. If(17 < a < 18, Translate[O_3, (((0.15 * pi) * (a - 17)), 0)]) → R_6
238. Center(f_6) → S_6
239. Rotate(R_6, ((17 - a) * 180°), S_6) → T_6
240. CircleArc(S_6, Z_4, T_6) → g_6
241. If(18 < a < 19, Translate[r_1, (((0.1 * pi) * (a - 18)), 0)]) → h_6
242. If(18 < a < 19, Translate[P_3, (((0.1 * pi) * (a - 18)), 0)]) → U_6
243. Center(h_6) → V_6
244. Rotate(U_6, ((18 - a) * 180°), V_6) → W_6
245. CircleArc(V_6, A_5, W_6) → k_6
246. If(19 < a < 20, Translate[s_1, (((0.05 * pi) * (a - 19)), 0)]) → p_6
247. If(19 < a < 20, Translate[Q_3, (((0.05 * pi) * (a - 19)), 0)]) → Z_6
248. Center(p_6) → A_7
249. Rotate(Z_6, ((19 - a) * 180°), A_7) → B_7
250. CircleArc(A_7, B_5, B_7) → q_6
251. Mirror(e_4, f) → r_6
252. Mirror(R_2, f) → C_7
253. Mirror(J_4, f) → D_7
254. Segment(C_7, D_7) → i_4
255. Mirror(g_4, f) → s_6
256. Mirror(k_4, f) → t_6
257. Mirror(H_4, f) → E_7
258. Mirror(M_4, f) → F_7
259. Segment(E_7, F_7) → j_4
260. Mirror(G_4, f) → G_7
261. Mirror(N_4, f) → H_7
262. Segment(G_7, H_7) → l_4
263. Mirror(q_4, f) → c_7
264. Mirror(F_4, f) → I_7
265. Mirror(O_4, f) → J_7
266. Segment(I_7, J_7) → m_4
267. Mirror(s_4, f) → d_7
268. Mirror(E_4, f) → K_7
269. Mirror(P_4, f) → L_7
270. Segment(K_7, L_7) → n_4
271. Mirror(c_5, f) → e_7
272. Mirror(D_4, f) → M_7
273. Mirror(Q_4, f) → N_7
274. Segment(M_7, N_7) → a_5
275. Mirror(e_5, f) → f_7
276. Mirror(C_4, f) → O_7
277. Mirror(R_4, f) → P_7
278. Segment(O_7, P_7) → b_5
279. Mirror(g_5, f) → g_7
280. Mirror(B_4, f) → Q_7
281. Mirror(S_4, f) → R_7
282. Segment(Q_7, R_7) → i_5
283. Mirror(k_5, f) → h_7
284. Mirror(A_4, f) → S_7
285. Mirror(T_4, f) → T_7
286. Segment(S_7, T_7) → j_5
287. Mirror(q_5, f) → k_7
288. Mirror(Z_3, f) → U_7
289. Mirror(U_4, f) → V_7
290. Segment(U_7, V_7) → l_5
291. Mirror(s_5, f) → p_7
292. Mirror(W_3, f) → W_7
293. Mirror(V_4, f) → Z_7
294. Segment(W_7, Z_7) → m_5
295. Mirror(c_6, f) → q_7
296. Mirror(V_3, f) → A_8
297. Mirror(W_4, f) → B_8
298. Segment(A_8, B_8) → n_5
299. Mirror(e_6, f) → r_7
300. Mirror(T_3, f) → C_8
301. Mirror(Z_4, f) → D_8
302. Segment(C_8, D_8) → a_6
303. Mirror(g_6, f) → s_7
304. Mirror(S_3, f) → E_8
305. Mirror(A_5, f) → F_8
306. Segment(E_8, F_8) → b_6
307. Mirror(k_6, f) → t_7
308. Mirror(R_3, f) → G_8
309. Mirror(B_5, f) → H_8
310. Segment(G_8, H_8) → i_6
311. Mirror(q_6, f) → c_8
312. Segment((0, 0), (0, 1)) → i
313. Segment(A, F) → j_6
314. Segment(F, B) → l_6
315. Circle((0, -2), 1) → e_8
316. Segment((0, -2), (0, -3)) → a_7