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罗西托内斯·科因布拉

罗西托内斯·科因布拉
几何画板及绘图内容加载中，请稍等……
2023-03-13 20:15
微积分几何作图
所属专题 geometriadinamica.es
①本范例演示了罗西托内斯·科因布拉的数学图形构造；②涉及核心数学概念包括连续性、面积、实数、正方形、上下和或黎曼和；③构造要点使用了If、圆、正交线、交点、旋转、圆扇形等GeoGebra命令/对象；④适合高中及以上数学学习者和教师用于教学演示和探索。

GeoGebra 命令及参数

  1. If(tiempo2 ≥ (2 * cambio) ∧ tiempo2 < (3 * cambio), 1, 0) → test03
  2. Circle(AC, (2.95 * r1)) → c
  3. OrthogonalLine(AC, xAxis) → a
  4. Intersect(c, a, 1) → AV
  5. Rotate(AV, 329.99999999999994°, AC) → AV330
  6. Rotate(AV, 210°, AC) → AV210
  7. Rotate(AV, 180°, AC) → AV180
  8. Rotate(AV, 150.00000000000003°, AC) → AV150
  9. Rotate(AV, 119.99999999999999°, AC) → AV120
  10. Rotate(AV, 29.999999999999996°, AC) → AV030
  11. If(tiempo2 < cambio, 1, 0) → test01
  12. Rotate(AV, 36°, AC) → AV036
  13. If(tiempo2 ≥ cambio ∧ tiempo2 < (2 * cambio), 1, 0) → test02
  14. If(tiempo2 ≥ (3 * cambio) ∧ tiempo2 < (4 * cambio), 1, 0) → test04
  15. If(tiempo2 ≥ (4 * cambio) ∧ tiempo2 < (5 * cambio), 1, 0) → test05
  16. If(tiempo2 ≥ (5 * cambio) ∧ tiempo2 < (6 * cambio), 1, 0) → test06
  17. If(tiempo2 ≥ (6 * cambio) ∧ tiempo2 < (7 * cambio), 1, 0) → test07
  18. If(tiempo2 ≥ (7 * cambio) ∧ tiempo2 < (8 * cambio), 1, 0) → test08
  19. If(tiempo2 ≥ (8 * cambio) ∧ tiempo2 < (9 * cambio), 1, 0) → test09
  20. If(tiempo2 ≥ (9 * cambio) ∧ tiempo2 < (10 * cambio), 1, 0) → test10
  21. If(tiempo2 ≥ (10 * cambio) ∧ tiempo2 < (11 * cambio), 1, 0) → test11
  22. If(tiempo2 ≥ (11 * cambio) ∧ tiempo2 < (12 * cambio), 1, 0) → test12
  23. If(tiempo2 ≥ (12 * cambio) ∧ tiempo2 < (13 * cambio), 1, 0) → test13
  24. If(tiempo2 ≥ (13 * cambio) ∧ tiempo2 < (14 * cambio), 1, 0) → test14
  25. If(tiempo2 ≥ (14 * cambio) ∧ tiempo2 < (15 * cambio), 1, 0) → test15
  26. If(tiempo2 ≥ (15 * cambio) ∧ tiempo2 < (16 * cambio), 1, 0) → test16
  27. If(tiempo2 ≥ (16 * cambio) ∧ tiempo2 < (17 * cambio), 1, 0) → test17
  28. If(tiempo2 ≥ (17 * cambio) ∧ tiempo2 < (18 * cambio), 1, 0) → test18
  29. If(tiempo2 ≥ (18 * cambio) ∧ tiempo2 < (19 * cambio), 1, 0) → test19
  30. If(tiempo2 ≥ (19 * cambio) ∧ tiempo2 < (20 * cambio), 1, 0) → test20
  31. If(tiempo2 ≥ (20 * cambio) ∧ tiempo2 < (21 * cambio), 1, 0) → test21
  32. Rotate(AV, 72°, AC) → AV072
  33. Rotate(AV, 108°, AC) → AV108
  34. Rotate(AV, 144°, AC) → AV144
  35. Rotate(AV, 216°, AC) → AV216
  36. Rotate(AV, 252°, AC) → AV252
  37. Rotate(AV, 288°, AC) → AV288
  38. Rotate(AV, 324°, AC) → AV324
  39. CircleSector(AC / test01, AV036 / ver, AV072) → s1a036a072
  40. CircleSector(AC / test01, AV072 / ver, AV108) → s1a072a108
  41. CircleSector(AC / test01, AV108 / ver, AV144) → s1a108a144
  42. CircleSector(AC / test01, AV144 / ver, AV180) → s1a144a180
  43. CircleSector(AC / test01, AV180 / ver, AV216) → s1a180a216
  44. CircleSector(AC / test01, AV216 / ver, AV252) → s1a216a252
  45. CircleSector(AC / test01, AV252 / ver, AV288) → s1a252a288
  46. CircleSector(AC / test01, AV288 / ver, AV324) → s1a288a324
  47. CircleSector(AC / test01, AV324 / ver, AV) → s1a324a360
  48. CircleSector(AC / test01, AV / ver, AV036) → s1a000a036
  49. Rotate(AV, 59.99999999999999°, AC) → AV060
  50. Rotate(AV, 239.99999999999997°, AC) → AV240
  51. Rotate(AV, 300.00000000000006°, AC) → AV300
  52. CircleSector(AC / test02, AV / ver, AV060) → s2a000a060
  53. CircleSector(AC / test02, AV060 / ver, AV120) → s2a060a120
  54. CircleSector(AC / test02, AV120 / ver, AV180) → s2a120a180
  55. CircleSector(AC / test02, AV180 / ver, AV240) → s2a180a240
  56. CircleSector(AC / test02, AV240 / ver, AV300) → s2a240a300
  57. CircleSector(AC / test02, AV300 / ver, AV) → s2a300a360
  58. Rotate(AV, 45°, AC) → AV045
  59. Rotate(AV, 90°, AC) → AV090
  60. Rotate(AV, 135°, AC) → AV135
  61. Rotate(AV, 225°, AC) → AV225
  62. Rotate(AV, 270°, AC) → AV270
  63. Rotate(AV, 315°, AC) → AV315
  64. CircleSector(AC / test03, AV030 / ver, AV060) → s3a030a060
  65. CircleSector(AC / test03, AV060 / ver, AV090) → s3a060a090
  66. CircleSector(AC / test03, AV090 / ver, AV120) → s3a090a120
  67. CircleSector(AC / test03, AV150 / ver, AV180) → s3a150a180
  68. CircleSector(AC / test03, AV / ver, AV030) → s3a000a030
  69. CircleSector(AC / test03, AV120 / ver, AV150) → s3a120a150
  70. CircleSector(AC / test03, AV180 / ver, AV210) → s3a180a210
  71. CircleSector(AC / test03, AV210 / ver, AV240) → s3a210a240
  72. CircleSector(AC / test03, AV240 / ver, AV270) → s3a240a270
  73. CircleSector(AC / test03, AV270 / ver, AV300) → s3a270a300
  74. CircleSector(AC / test03, AV300 / ver, AV330) → s3a300a330
  75. CircleSector(AC / test03, AV330 / ver, AV) → s3a330a360
  76. CircleSector(AC / test04, AV / ver, AV060) → s4a000a060
  77. CircleSector(AC / test04, AV060 / ver, AV120) → s4a060a120
  78. CircleSector(AC / test04, AV120 / ver, AV180) → s4a120a180
  79. CircleSector(AC / test04, AV180 / ver, AV240) → s4a180a240
  80. CircleSector(AC / test04, AV240 / ver, AV300) → s4a240a300
  81. CircleSector(AC / test04, AV300 / ver, AV) → s4a300a360
  82. CircleSector(AC / test05, AV / ver, AV030) → s5a000a030
  83. CircleSector(AC / test05, AV030 / ver, AV060) → s5a030a060
  84. CircleSector(AC / test05, AV060 / ver, AV090) → s5a060a090
  85. CircleSector(AC / test05, AV090 / ver, AV120) → s5a090a120
  86. CircleSector(AC / test05, AV120 / ver, AV150) → s5a120a150
  87. CircleSector(AC / test05, AV150 / ver, AV180) → s5a150a180
  88. CircleSector(AC / test05, AV180 / ver, AV210) → s5a180a210
  89. CircleSector(AC / test05, AV210 / ver, AV240) → s5a210a240
  90. CircleSector(AC / test05, AV240 / ver, AV270) → s5a240a270
  91. CircleSector(AC / test05, AV270 / ver, AV300) → s5a270a300
  92. CircleSector(AC / test05, AV300 / ver, AV330) → s5a300a330
  93. CircleSector(AC / test05, AV330 / ver, AV) → s5a330a360
  94. CircleSector(AC / test06, AV / ver, AV045) → s6a000a045
  95. CircleSector(AC / test06, AV045 / ver, AV090) → s6a045a090
  96. CircleSector(AC / test06, AV090 / ver, AV135) → s6a090a135
  97. CircleSector(AC / test06, AV135 / ver, AV180) → s6a135a180
  98. CircleSector(AC / test06, AV180 / ver, AV225) → s6a180a225
  99. CircleSector(AC / test06, AV225 / ver, AV270) → s6a225a270
  100. CircleSector(AC / test06, AV270 / ver, AV315) → s6a270a315
  101. CircleSector(AC / test06, AV315 / ver, AV) → s6a315a360
  102. CircleSector(AC / test07, AV / ver, AV060) → s7a000a060
  103. CircleSector(AC / test07, AV060 / ver, AV120) → s7a060a120
  104. CircleSector(AC / test07, AV120 / ver, AV180) → s7a120a180
  105. CircleSector(AC / test07, AV180 / ver, AV240) → s7a180a240
  106. CircleSector(AC / test07, AV240 / ver, AV300) → s7a240a300
  107. CircleSector(AC / test07, AV300 / ver, AV) → s7a300a360
  108. Rotate(AV, 22.5°, AC) → AV022
  109. Rotate(AV, 67.5°, AC) → AV067
  110. Rotate(AV, 112.5°, AC) → AV112
  111. Rotate(AV, 157.5°, AC) → AV157
  112. Rotate(AV, 202.49999999999997°, AC) → AV202
  113. Rotate(AV, 247.5°, AC) → AV247
  114. Rotate(AV, 292.50000000000006°, AC) → AV292
  115. Rotate(AV, 337.5000000000001°, AC) → AV337
  116. CircleSector(AC / test08, AV / ver, AV022) → s8a000a022
  117. CircleSector(AC / test08, AV022 / ver, AV045) → s8a022a045
  118. CircleSector(AC / test08, AV045 / ver, AV067) → s8a045a067
  119. CircleSector(AC / test08, AV067 / ver, AV090) → s8a067a090
  120. CircleSector(AC / test08, AV090 / ver, AV112) → s8a090a112
  121. CircleSector(AC / test08, AV112 / ver, AV135) → s8a112a135
  122. CircleSector(AC / test08, AV135 / ver, AV157) → s8a135a157
  123. CircleSector(AC / test08, AV157 / ver, AV180) → s8a157a180
  124. CircleSector(AC / test08, AV180 / ver, AV202) → s8a180a202
  125. CircleSector(AC / test08, AV202 / ver, AV225) → s8a202a225
  126. CircleSector(AC / test08, AV225 / ver, AV247) → s8a225a247
  127. CircleSector(AC / test08, AV247 / ver, AV270) → s8a247a270
  128. CircleSector(AC / test08, AV270 / ver, AV292) → s8a270a292
  129. CircleSector(AC / test08, AV292 / ver, AV315) → s8a292a315
  130. CircleSector(AC / test08, AV315 / ver, AV337) → s8a315a337
  131. CircleSector(AC / test08, AV337 / ver, AV) → s8a337a360
  132. CircleSector(AC / test09, AV / ver, AV045) → s9a000a045
  133. CircleSector(AC / test09, AV045 / ver, AV090) → s9a045a090
  134. CircleSector(AC / test09, AV090 / ver, AV135) → s9a090a135
  135. CircleSector(AC / test09, AV135 / ver, AV180) → s9a135a180
  136. CircleSector(AC / test09, AV180 / ver, AV225) → s9a180a225
  137. CircleSector(AC / test09, AV225 / ver, AV270) → s9a225a270
  138. CircleSector(AC / test09, AV270 / ver, AV315) → s9a270a315
  139. CircleSector(AC / test09, AV315 / ver, AV) → s9a315a360
  140. CircleSector(AC / test10, AV / ver, AV060) → s10a000a060
  141. CircleSector(AC / test10, AV060 / ver, AV120) → s10a060a120
  142. CircleSector(AC / test10, AV120 / ver, AV180) → s10a120a180
  143. CircleSector(AC / test10, AV180 / ver, AV240) → s10a180a240
  144. CircleSector(AC / test10, AV240 / ver, AV300) → s10a240a300
  145. CircleSector(AC / test10, AV300 / ver, AV) → s10a300a360
  146. CircleSector(AC / test11, AV / ver, AV045) → s11a000a045
  147. CircleSector(AC / test11, AV045 / ver, AV090) → s11a045a090
  148. CircleSector(AC / test11, AV090 / ver, AV135) → s11a090a135
  149. CircleSector(AC / test11, AV135 / ver, AV180) → s11a135a180
  150. CircleSector(AC / test11, AV180 / ver, AV225) → s11a180a225
  151. CircleSector(AC / test11, AV225 / ver, AV270) → s11a225a270
  152. CircleSector(AC / test11, AV270 / ver, AV315) → s11a270a315
  153. CircleSector(AC / test11, AV315 / ver, AV) → s11a315a360
  154. CircleSector(AC / test12, AV / ver, AV060) → s12a000a060
  155. CircleSector(AC / test12, AV060 / ver, AV120) → s12a060a120
  156. CircleSector(AC / test12, AV120 / ver, AV180) → s12a120a180
  157. CircleSector(AC / test12, AV180 / ver, AV240) → s12a180a240
  158. CircleSector(AC / test12, AV240 / ver, AV300) → s12a240a300
  159. CircleSector(AC / test12, AV300 / ver, AV) → s12a300a360
  160. CircleSector(AC / test13, AV / ver, AV045) → s13a000a045
  161. CircleSector(AC / test13, AV045 / ver, AV090) → s13a045a090
  162. CircleSector(AC / test13, AV090 / ver, AV135) → s13a090a135
  163. CircleSector(AC / test13, AV135 / ver, AV180) → s13a135a180
  164. CircleSector(AC / test13, AV180 / ver, AV225) → s13a180a225
  165. CircleSector(AC / test13, AV225 / ver, AV270) → s13a225a270
  166. CircleSector(AC / test13, AV270 / ver, AV315) → s13a270a315
  167. CircleSector(AC / test13, AV315 / ver, AV) → s13a315a360
  168. CircleSector(AC / test14, AV / ver, AV022) → s14a000a022
  169. CircleSector(AC / test14, AV022 / ver, AV045) → s14a022a045
  170. CircleSector(AC / test14, AV045 / ver, AV067) → s14a045a067
  171. CircleSector(AC / test14, AV067 / ver, AV090) → s14a067a090
  172. CircleSector(AC / test14, AV090 / ver, AV112) → s14a090a112
  173. CircleSector(AC / test14, AV112 / ver, AV135) → s14a112a135
  174. CircleSector(AC / test14, AV135 / ver, AV157) → s14a135a157
  175. CircleSector(AC / test14, AV157 / ver, AV180) → s14a157a180
  176. CircleSector(AC / test14, AV180 / ver, AV202) → s14a180a202
  177. CircleSector(AC / test14, AV202 / ver, AV225) → s14a202a225
  178. CircleSector(AC / test14, AV225 / ver, AV247) → s14a225a247
  179. CircleSector(AC / test14, AV247 / ver, AV270) → s14a247a270
  180. CircleSector(AC / test14, AV270 / ver, AV292) → s14a270a292
  181. CircleSector(AC / test14, AV292 / ver, AV315) → s14a292a315
  182. CircleSector(AC / test14, AV315 / ver, AV337) → s14a315a337
  183. CircleSector(AC / test14, AV337 / ver, AV) → s14a337a360
  184. CircleSector(AC / test15, AV / ver, AV060) → s15a000a060
  185. CircleSector(AC / test15, AV060 / ver, AV120) → s15a060a120
  186. CircleSector(AC / test15, AV120 / ver, AV180) → s15a120a180
  187. CircleSector(AC / test15, AV180 / ver, AV240) → s15a180a240
  188. CircleSector(AC / test15, AV240 / ver, AV300) → s15a240a300
  189. CircleSector(AC / test15, AV300 / ver, AV) → s15a300a360
  190. CircleSector(AC / test16, AV / ver, AV036) → s16a000a036
  191. CircleSector(AC / test16, AV036 / ver, AV072) → s16a036a072
  192. CircleSector(AC / test16, AV072 / ver, AV108) → s16a072a108
  193. CircleSector(AC / test16, AV108 / ver, AV144) → s16a108a144
  194. CircleSector(AC / test16, AV144 / ver, AV180) → s16a144a180
  195. CircleSector(AC / test16, AV180 / ver, AV216) → s16a180a216
  196. CircleSector(AC / test16, AV216 / ver, AV252) → s16a216a252
  197. CircleSector(AC / test16, AV252 / ver, AV288) → s16a252a288
  198. CircleSector(AC / test16, AV288 / ver, AV324) → s16a288a324
  199. CircleSector(AC / test16, AV324 / ver, AV) → s16a324a360
  200. CircleSector(AC / test17, AV / ver, AV060) → s17a000a060
  201. CircleSector(AC / test17, AV060 / ver, AV120) → s17a000a120
  202. CircleSector(AC / test17, AV120 / ver, AV180) → s17a120a180
  203. CircleSector(AC / test17, AV180 / ver, AV240) → s17a180a240
  204. CircleSector(AC / test17, AV240 / ver, AV300) → s17a240a300
  205. CircleSector(AC / test17, AV300 / ver, AV) → s17a300a360
  206. CircleSector(AC / test18, AV / ver, AV045) → s18a000a045
  207. CircleSector(AC / test18, AV045 / ver, AV090) → s18a045a090
  208. CircleSector(AC / test18, AV090 / ver, AV135) → s18a090a135
  209. CircleSector(AC / test18, AV135 / ver, AV180) → s18a135a180
  210. CircleSector(AC / test18, AV180 / ver, AV225) → s18a180a225
  211. CircleSector(AC / test18, AV225 / ver, AV270) → s18a225a270
  212. CircleSector(AC / test18, AV270 / ver, AV315) → s18a270a315
  213. CircleSector(AC / test18, AV315 / ver, AV) → s18a315a360
  214. CircleSector(AC / test19, AV / ver, AV030) → s19a000a030
  215. CircleSector(AC / test19, AV030 / ver, AV060) → s19a030a060
  216. CircleSector(AC / test19, AV060 / ver, AV090) → s19a060a090
  217. CircleSector(AC / test19, AV090 / ver, AV120) → s19a090a120
  218. CircleSector(AC / test19, AV120 / ver, AV150) → s19a120a150
  219. CircleSector(AC / test19, AV150 / ver, AV180) → s19a150a180
  220. CircleSector(AC / test19, AV180 / ver, AV210) → s19a180a210
  221. CircleSector(AC / test19, AV210 / ver, AV240) → s19a210a240
  222. CircleSector(AC / test19, AV240 / ver, AV270) → s19a240a270
  223. CircleSector(AC / test19, AV270 / ver, AV300) → s19a270a300
  224. CircleSector(AC / test19, AV300 / ver, AV330) → s19a300a330
  225. CircleSector(AC / test19, AV330 / ver, AV) → s19a330a360
  226. CircleSector(AC / test20, AV / ver, AV060) → s20a000a060
  227. CircleSector(AC / test20, AV060 / ver, AV120) → s20a060a120
  228. CircleSector(AC / test20, AV120 / ver, AV180) → s20a120a180
  229. CircleSector(AC / test20, AV180 / ver, AV240) → s20a180a240
  230. CircleSector(AC / test20, AV240 / ver, AV300) → s20a240a300
  231. CircleSector(AC / test20, AV300 / ver, AV) → s20a300a360

AI 绘图提示语参考

该图形由多个圆扇形组成，呈现玫瑰花状结构。首先绘制一个圆，然后通过旋转操作将一条线段依次旋转至不同角度，使其与圆相交得到多个点。接着利用这些交点作为扇形的边界，绘制一系列圆扇形，最终形成花瓣状的玫瑰花图案。构造顺序为先画圆，再旋转线段，最后绘制扇形，图形由对称的圆弧构成，体现几何对称性。
以上提示语为根据原始绘图命令整理而来，仅供参考。