Look Inside: 几何与微积分综合演示

GeoGebra 命令及参数

1. Intersect(yAxis, zAxis) → A
2. Point(xAxis) → B
3. Point(Circle[B, Distance[A, B], Segment[A, B]]) → C
4. Cube(A, B, C) → k, D, stenaCDHG, stenaEFGH, hranaAD, hranaAB, hranaBC, hranaCD, hranaAE, hranaDH, hranaEH, hranaEF, E, hranaBF, hranaFG, hranaCG, hranaGH, F, G, H, stenaABCD, stenaADHE, stenaABFE, stenaBCGF
5. Intersect(hranaAB, hranaAD) → I
6. Intersect(hranaAB, hranaBC) → J
7. Vector(I, J) → u
8. Intersect(hranaAD, hranaCD) → K
9. Vector(I, K) → v
10. Intersect(zAxis, hranaEH) → L
11. Vector(I, L) → w
12. Intersect(hranaCG, hranaBC) → M
13. Intersect(hranaFG, hranaGH) → N
14. Point(zAxis) → O
15. Point(yAxis) → P
16. Vector(I, P) → l
17. Vector(J, M) → p
18. Translate(k, Vector[(-2 * v) - (2 * u) - (2 * w) + (e * l)]) → U1
19. Translate(k, Vector[(-v) - (2 * u) - (2 * w) + (e * l)]) → U2
20. Translate(k, Vector[(-2 * u) - (2 * w) + (e * l)]) → U3
21. Translate(k, Vector[v - (2 * u) - (2 * w) + (e * p)]) → U4
22. Translate(k, Vector[(2 * v) - (2 * u) - (2 * w) + (e * p)]) → U5
23. Translate(k, Vector[(-2 * v) - (2 * u) - w + (e * l)]) → V1
24. Translate(k, Vector[(-v) - (2 * u) - w + (e * l)]) → V2
25. Translate(k, Vector[(2 * v) - (2 * u) - w + (e * p)]) → V5
26. Translate(k, Vector[(-2 * u) - w + (e * p)]) → V3
27. Translate(k, Vector[(-2 * u) + v - w + (e * p)]) → V4
28. Translate(k, Vector[(-2 * u) - (2 * v) + (e * l)]) → X1
29. Translate(k, Vector[(-2 * u) - v + (e * l)]) → X2
30. Translate(k, Vector[(-2 * u) + (e * l)]) → X3
31. Translate(k, Vector[(-2 * u) + v + (e * p)]) → X4
32. Translate(k, Vector[(-2 * u) + (2 * v) + (e * p)]) → X5
33. Translate(k, Vector[(-2 * u) + w - (2 * v) + (e * l)]) → Y1
34. Translate(k, Vector[(-2 * u) + w - v + (e * l)]) → Y2
35. Translate(k, Vector[(-2 * u) + w + (e * p)]) → Y3
36. Translate(k, Vector[(-2 * u) + w + v + (e * p)]) → Y4
37. Translate(k, Vector[(-2 * u) + w + (2 * v) + (e * p)]) → Y5
38. Translate(k, Vector[(-2 * u) + (2 * w) - (2 * v) + (e * l)]) → Z1
39. Translate(k, Vector[(-2 * u) + (2 * w) - v + (e * l)]) → Z2
40. Translate(k, Vector[(-2 * u) + (2 * w) + (e * l)]) → Z3
41. Translate(k, Vector[(-2 * u) + (2 * w) + v + (e * p)]) → Z4
42. Translate(k, Vector[(-2 * u) + (2 * w) + (2 * v) + (e * p)]) → Z5
43. Translate(k, Vector[(-u) - (2 * w) - (2 * v) + (d * l)]) → P1
44. Translate(k, Vector[(-u) - (2 * w) - v + (d * l)]) → P2
45. Translate(k, Vector[(-u) - (2 * w) + (d * p)]) → P3
46. Translate(k, Vector[(-u) - (2 * w) + v + (d * p)]) → P4
47. Translate(k, Vector[(-u) - (2 * w) + (2 * v) + (d * p)]) → P5
48. Translate(k, Vector[(-u) - w - (2 * v) + (d * l)]) → Q1
49. Translate(k, Vector[(-u) - w - v + (d * l)]) → Q2
50. Translate(k, Vector[(-u) - w + (d * l)]) → Q3
51. Translate(k, Vector[(-u) - w + v + (d * p)]) → Q4
52. Translate(k, Vector[(-u) - w + (2 * v) + (d * p)]) → Q5
53. Translate(k, Vector[(-u) - (2 * v) + (d * l)]) → R1
54. Translate(k, Vector[(-u) - v + (d * l)]) → R2
55. Translate(k, Vector[(-u) + (d * p)]) → R3
56. Translate(k, Vector[(-u) + v + (d * p)]) → R4
57. Translate(k, Vector[(-u) + (2 * v) + (d * p)]) → R5
58. Translate(k, Vector[(-u) - (2 * v) + w + (d * l)]) → S1
59. Translate(k, Vector[(-u) - v + w + (d * l)]) → S2
60. Translate(k, Vector[(-u) + w + (d * l)]) → S3
61. Translate(k, Vector[(-u) + v + w + (d * p)]) → S4
62. Translate(k, Vector[(-u) + (2 * v) + w + (d * p)]) → S5
63. Translate(k, Vector[(-u) - (2 * v) + (2 * w) + (d * l)]) → T1
64. Translate(k, Vector[(-u) - v + (2 * w) + (d * l)]) → T2
65. Translate(k, Vector[(-u) + (2 * w) + (d * p)]) → T3
66. Translate(k, Vector[(-u) + (2 * w) + v + (d * p)]) → T4
67. Translate(k, Vector[(-u) + (2 * w) + (2 * v) + (d * p)]) → T5
68. Translate(k, Vector[(-2 * w) - (2 * v) + (c * l)]) → K11
69. Translate(k, Vector[(-2 * w) - v + (c * l)]) → K22
70. Translate(k, Vector[(-2 * w) + (c * l)]) → K33
71. Translate(k, Vector[(-2 * w) + v + (c * p)]) → K44
72. Translate(k, Vector[(-2 * w) + (2 * v) + (c * p)]) → K55
73. Translate(k, Vector[(-w) - (2 * v) + (c * l)]) → L11
74. Translate(k, Vector[(-w) - v + (c * l)]) → L22
75. Translate(k, Vector[(-w) + v + (c * p)]) → L44
76. Translate(k, Vector[(-w) + (c * p)]) → L33
77. Translate(k, Vector[(-w) + (2 * v) + (c * p)]) → L55
78. Translate(k, Vector[(-2 * v) + (c * l)]) → M11
79. Translate(k, Vector[(-v) + (c * l)]) → M22
80. Translate(k, Vector[(c * l)]) → M33
81. Translate(k, Vector[v + (c * p)]) → M44
82. Translate(k, Vector[(2 * v) + (c * p)]) → M55
83. Translate(k, Vector[w - (2 * v) + (c * l)]) → N11
84. Translate(k, Vector[w - v + (c * l)]) → N22
85. Translate(k, Vector[w + (c * p)]) → N33
86. Translate(k, Vector[w + v + (c * p)]) → N44
87. Translate(k, Vector[w + (2 * v) + (c * p)]) → N55
88. Translate(k, Vector[(2 * w) - (2 * v) + (c * l)]) → O11
89. Translate(k, Vector[(2 * w) - v + (c * l)]) → O22
90. Translate(k, Vector[(2 * w) + (c * l)]) → O33
91. Translate(k, Vector[(2 * w) + v + (c * p)]) → O44
92. Translate(k, Vector[(2 * w) + (2 * v) + (c * p)]) → O55
93. Translate(k, Vector[u - (2 * w) - (2 * v) + (b * l)]) → F11
94. Translate(k, Vector[u - (2 * w) - v + (b * l)]) → F22
95. Translate(k, Vector[u - (2 * w) + (b * p)]) → F33
96. Translate(k, Vector[u - (2 * w) + v + (b * p)]) → F44
97. Translate(k, Vector[u - (2 * w) + (2 * v) + (b * p)]) → F55
98. Translate(k, Vector[u - w - (2 * v) + (b * l)]) → G11
99. Translate(k, Vector[u - w - v + (b * l)]) → G22
100. Translate(k, Vector[u - w + (b * l)]) → G33
101. Translate(k, Vector[u - w + v + (b * p)]) → G44
102. Translate(k, Vector[u - w + (2 * v) + (b * p)]) → G55
103. Translate(k, Vector[u - (2 * v) + (b * l)]) → H11
104. Translate(k, Vector[u - v + (b * l)]) → H22
105. Translate(k, Vector[u + (b * p)]) → H33
106. Translate(k, Vector[u + v + (b * p)]) → H44
107. Translate(k, Vector[u + (2 * v) + (b * p)]) → H55
108. Translate(k, Vector[u + w - (2 * v) + (b * l)]) → I11
109. Translate(k, Vector[u + w - v + (b * l)]) → I22
110. Translate(k, Vector[u + w + (b * l)]) → I33
111. Translate(k, Vector[u + w + v + (b * p)]) → I44
112. Translate(k, Vector[u + w + (2 * v) + (b * p)]) → I55
113. Translate(k, Vector[u + (2 * w) - (2 * v) + (b * l)]) → J11
114. Translate(k, Vector[u + (2 * w) - v + (b * l)]) → J22
115. Translate(k, Vector[u + (2 * w) + (b * p)]) → J33
116. Translate(k, Vector[u + (2 * w) + v + (b * p)]) → J44
117. Translate(k, Vector[u + (2 * w) + (2 * v) + (b * p)]) → J55
118. Translate(k, Vector[(2 * u) - (2 * w) - (2 * v) + (a * l)]) → A11
119. Translate(k, Vector[(2 * u) - (2 * w) - v + (a * l)]) → A22
120. Translate(k, Vector[(2 * u) - (2 * w) + (a * l)]) → A33
121. Translate(k, Vector[(2 * u) - (2 * w) + v + (a * p)]) → A44
122. Translate(k, Vector[(2 * u) - (2 * w) + (2 * v) + (a * p)]) → A55
123. Translate(k, Vector[(2 * u) - w - (2 * v) + (a * l)]) → B11
124. Translate(k, Vector[(2 * u) - w - v + (a * l)]) → B22
125. Translate(k, Vector[(2 * u) - w + (a * p)]) → B33
126. Translate(k, Vector[(2 * u) - w + v + (a * p)]) → B44
127. Translate(k, Vector[(2 * u) - w + (2 * v) + (a * p)]) → B55
128. Translate(k, Vector[(2 * u) - (2 * v) + (a * l)]) → C11
129. Translate(k, Vector[(2 * u) - v + (a * l)]) → C22
130. Translate(k, Vector[(2 * u) + (a * l)]) → C33
131. Translate(k, Vector[(2 * u) + v + (a * p)]) → C44
132. Translate(k, Vector[(2 * u) + (2 * v) + (a * p)]) → C55
133. Translate(k, Vector[w + (2 * u) - (2 * v) + (a * l)]) → D11
134. Translate(k, Vector[w + (2 * u) - v + (a * l)]) → D22
135. Translate(k, Vector[w + (2 * u) + (a * p)]) → D33
136. Translate(k, Vector[w + (2 * u) + v + (a * p)]) → D44
137. Translate(k, Vector[w + (2 * u) + (2 * v) + (a * p)]) → D55
138. Translate(k, Vector[(2 * w) + (2 * u) - (2 * v) + (a * l)]) → E11
139. Translate(k, Vector[(2 * w) + (2 * u) - v + (a * l)]) → E22
140. Translate(k, Vector[(2 * w) + (2 * u) + (a * l)]) → E33
141. Translate(k, Vector[(2 * w) + (2 * u) + v + (a * p)]) → E44
142. Translate(k, Vector[(2 * w) + (2 * u) + (2 * v) + (a * p)]) → E55
143. Point(yAxis) → Q
144. Polygon(Q, R, 4) → A0, f_6, g_6, h_6, i_6, S, T
145. Point(f_6) → U
146. Polygon(Q, U, 4) → A1, j_6, k_6, l_6, m_6, V, W
147. Point(f_6) → Z
148. Polygon(U, Z, 4) → A2, n_6, p_6, q_6, r_6, A_1, B_1
149. Point(f_6) → C_1
150. Polygon(Z, C_1, 4) → A3, s_6, t_6, a_6, b_6, D_1, E_1
151. Point(f_6) → F_1
152. Polygon(C_1, F_1, 4) → A4, c_6, d_6, e_6, f_7, G_1, H_1
153. Polygon(F_1, R, 4) → A5, g_7, h_7, i_7, j_7, I_1, J_1
154. Polygon(W, V, 4) → B1, k_7, l_7, m_7, n_7, K_1, L_1
155. Polygon(V, A_1, 4) → B2, p_7, q_7, r_7, s_7, M_1, N_1
156. Polygon(A_1, D_1, 4) → B3, t_7, a_7, b_7, c_7, O_1, P_1
157. Polygon(D_1, G_1, 4) → B4, d_7, e_7, f_8, g_8, Q_1, R_1
158. Polygon(G_1, I_1, 4) → B5, h_8, i_8, j_8, k_8, S_1, T_1
159. Polygon(L_1, K_1, 4) → C1, l_8, m_8, n_8, p_8, U_1, V_1
160. Polygon(K_1, M_1, 4) → C2, q_8, r_8, s_8, t_8, W_1, Z_1
161. Polygon(M_1, O_1, 4) → C3, a_8, b_8, c_8, d_8, A_2, B_2
162. Polygon(O_1, Q_1, 4) → C4, e_8, f_9, g_9, h_9, C_2, D_2
163. Polygon(Q_1, S_1, 4) → C5, i_9, j_9, k_9, l_9, E_2, F_2
164. Polygon(V_1, U_1, 4) → D1, m_9, n_9, p_9, q_9, G_2, H_2
165. Polygon(U_1, W_1, 4) → D2, r_9, s_9, t_9, a_9, I_2, J_2
166. Polygon(W_1, A_2, 4) → D3, b_9, c_9, d_9, e_9, K_2, L_2
167. Polygon(A_2, C_2, 4) → D4, f_{10}, g_{10}, h_{10}, i_{10}, M_2, N_2
168. Polygon(C_2, E_2, 4) → D5, j_{10}, k_{10}, l_{10}, m_{10}, O_2, P_2
169. Polygon(H_2, G_2, 4) → E1, n_{10}, p_{10}, q_{10}, r_{10}, Q_2, R_2
170. Polygon(G_2, I_2, 4) → E2, s_{10}, t_{10}, a_{10}, b_{10}, S_2, T_2
171. Polygon(I_2, K_2, 4) → E3, c_{10}, d_{10}, e_{10}, f_{11}, U_2, V_2
172. Polygon(K_2, M_2, 4) → E4, g_{11}, h_{11}, i_{11}, j_{11}, W_2, Z_2
173. Polygon(M_2, O_2, 4) → E5, k_{11}, l_{11}, m_{11}, n_{11}, A_3, B_3
174. Intersect(f_6, i_6) → C_3
175. Point(f_6) → D_3
176. Polygon(C_3, D_3, 4) → F1, p_{11}, q_{11}, r_{11}, s_{11}, E_3, F_3
177. Polygon(D_3, G_3, 4) → F2, t_{11}, a_{11}, b_{11}, c_{11}, H_3, I_3
178. Point(f_6) → J_3
179. Polygon(G_3, J_3, 4) → F3, d_{11}, e_{11}, f_{12}, g_{12}, K_3, L_3
180. Point(f_6) → M_3
181. Polygon(J_3, M_3, 4) → F4, h_{12}, i_{12}, j_{12}, k_{12}, N_3, O_3
182. Intersect(f_6, g_6) → P_3
183. Polygon(M_3, P_3, 4) → F5, l_{12}, m_{12}, n_{12}, p_{12}, Q_3, R_3
184. Polygon(F_3, E_3, 4) → G1, q_{12}, r_{12}, s_{12}, t_{12}, S_3, T_3
185. Polygon(E_3, H_3, 4) → G2, a_{12}, b_{12}, c_{12}, d_{12}, U_3, V_3
186. Polygon(H_3, K_3, 4) → G3, e_{12}, f_{13}, g_{13}, h_{13}, W_3, Z_3
187. Polygon(K_3, N_3, 4) → G4, i_{13}, j_{13}, k_{13}, l_{13}, A_4, B_4
188. Polygon(N_3, Q_3, 4) → G5, m_{13}, n_{13}, p_{13}, q_{13}, C_4, D_4
189. Polygon(T_3, S_3, 4) → H1, r_{13}, s_{13}, t_{13}, a_{13}, E_4, F_4
190. Polygon(S_3, U_3, 4) → H2, b_{13}, c_{13}, d_{13}, e_{13}, G_4, H_4
191. Polygon(U_3, W_3, 4) → H3, f_{14}, g_{14}, h_{14}, i_{14}, I_4, J_4
192. Polygon(W_3, A_4, 4) → H4, j_{14}, k_{14}, l_{14}, m_{14}, K_4, L_4
193. Polygon(A_4, C_4, 4) → H5, n_{14}, p_{14}, q_{14}, r_{14}, M_4, N_4
194. Polygon(F_4, E_4, 4) → I1, s_{14}, t_{14}, a_{14}, b_{14}, O_4, P_4
195. Polygon(E_4, G_4, 4) → I2, c_{14}, d_{14}, e_{14}, f_{15}, Q_4, R_4
196. Polygon(G_4, I_4, 4) → I3, g_{15}, h_{15}, i_{15}, j_{15}, S_4, T_4
197. Polygon(I_4, K_4, 4) → I4, k_{15}, l_{15}, m_{15}, n_{15}, U_4, V_4
198. Polygon(K_4, M_4, 4) → I5, p_{15}, q_{15}, r_{15}, s_{15}, W_4, Z_4
199. Polygon(P_4, O_4, 4) → J1, t_{15}, a_{15}, b_{15}, c_{15}, A_5, B_5
200. Polygon(O_4, Q_4, 4) → J2, d_{15}, e_{15}, f_{16}, g_{16}, C_5, D_5
201. Polygon(Q_4, S_4, 4) → J3, h_{16}, i_{16}, j_{16}, k_{16}, E_5, F_5
202. Polygon(S_4, U_4, 4) → J4, l_{16}, m_{16}, n_{16}, p_{16}, G_5, H_5
203. Polygon(U_4, W_4, 4) → J5, q_{16}, r_{16}, s_{16}, F1_2, I_5, J_5
204. SelectedIndex(l1) → o_6
205. Intersect(f_6, i_6) → K_5
206. Point(f_6) → L_5
207. Polygon(K_5, L_5, 4) → K1, t_{16}, a_{16}, b_{16}, c_{16}, M_5, N_5
208. Point(f_6) → O_5
209. Polygon(L_5, O_5, 4) → K2, d_{16}, e_{16}, f_{17}, g_{17}, P_5, Q_5
210. Point(f_6) → R_5
211. Polygon(O_5, R_5, 4) → K3, h_{17}, i_{17}, j_{17}, k_{17}, S_5, T_5
212. Point(f_6) → U_5
213. Polygon(R_5, U_5, 4) → K4, l_{17}, m_{17}, n_{17}, p_{17}, V_5, W_5
214. Intersect(f_6, g_6) → Z_5
215. Polygon(U_5, Z_5, 4) → K5, q_{17}, r_{17}, s_{17}, t_{17}, A_6, B_6
216. Polygon(N_5, M_5, 4) → L1, a_{17}, b_{17}, c_{17}, d_{17}, C_6, D_6
217. Polygon(M_5, P_5, 4) → L2, e_{17}, f_{18}, g_{18}, h_{18}, E_6, F_6
218. Polygon(P_5, S_5, 4) → L3, i_{18}, j_{18}, k_{18}, l_{18}, G_6, H_6
219. Polygon(S_5, V_5, 4) → L4, m_{18}, n_{18}, p_{18}, q_{18}, I_6, J_6
220. Polygon(V_5, A_6, 4) → L5, r_{18}, s_{18}, t_{18}, a_{18}, K_6, L_6
221. Polygon(D_6, C_6, 4) → M1, b_{18}, c_{18}, d_{18}, e_{18}, M_6, N_6
222. Polygon(C_6, E_6, 4) → M2, f_{19}, g_{19}, h_{19}, i_{19}, O_6, P_6
223. Polygon(E_6, G_6, 4) → M3, j_{19}, k_{19}, l_{19}, m_{19}, Q_6, R_6
224. Polygon(G_6, I_6, 4) → M4, n_{19}, p_{19}, q_{19}, r_{19}, S_6, T_6
225. Polygon(I_6, K_6, 4) → M5, s_{19}, t_{19}, a_{19}, b_{19}, U_6, V_6
226. Polygon(N_6, M_6, 4) → N1, c_{19}, d_{19}, e_{19}, f_{20}, W_6, Z_6
227. Polygon(M_6, O_6, 4) → N2, g_{20}, h_{20}, i_{20}, j_{20}, A_7, B_7
228. Polygon(O_6, Q_6, 4) → N3, k_{20}, l_{20}, m_{20}, n_{20}, C_7, D_7
229. Polygon(Q_6, S_6, 4) → N4, p_{20}, q_{20}, r_{20}, s_{20}, E_7, F_7
230. Polygon(S_6, U_6, 4) → N5, t_{20}, a_{20}, b_{20}, c_{20}, G_7, H_7
231. Polygon(Z_6, W_6, 4) → O1, d_{20}, e_{20}, f_{21}, g_{21}, I_7, J_7
232. Polygon(W_6, A_7, 4) → O2, h_{21}, i_{21}, j_{21}, k_{21}, K_7, L_7
233. Polygon(A_7, C_7, 4) → O3, l_{21}, m_{21}, n_{21}, p_{21}, M_7, N_7
234. Polygon(C_7, E_7, 4) → O4, q_{21}, r_{21}, s_{21}, t_{21}, O_7, P_7
235. Polygon(E_7, G_7, 4) → O5, a_{21}, b_{21}, c_{21}, d_{21}, Q_7, R_7