积极 AI Logo 积极 AI

猴子数学

猴子数学
几何画板及绘图内容加载中，请稍等……
2014-04-19 11:39
函数数列几何作图
该范例通过一个电子表格帮助解决了一个 nrich 问题。它展示了如何使用 GeoGebra 的 DivisorsList, Factors, Element 等命令来分析数字的因数和除数。涉及的核心数学概念包括分数、质数三角形、二次函数等。适合初中及以上学生学习和探索。

GeoGebra 命令及参数

  1. DivisorsList(A1) → B1
  2. Factors(A1) →
  3. Element(B1, Length[B1] - 1) → C1
  4. DivisorsList(A2) → B2
  5. Factors(A2) →
  6. Element(B2, Length[B2] - 1) → C2
  7. DivisorsList(A3) → B3
  8. Factors(A3) →
  9. Element(B3, Length[B3] - 1) → C3
  10. DivisorsList(A4) → B4
  11. Factors(A4) →
  12. Element(B4, Length[B4] - 1) → C4
  13. DivisorsList(A5) → B5
  14. Factors(A5) →
  15. Element(B5, Length[B5] - 1) → C5
  16. DivisorsList(A6) → B6
  17. Factors(A6) →
  18. Element(B6, Length[B6] - 1) → C6
  19. DivisorsList(A7) → B7
  20. Factors(A7) →
  21. Element(B7, Length[B7] - 1) → C7
  22. DivisorsList(A8) → B8
  23. Factors(A8) →
  24. Element(B8, Length[B8] - 1) → C8
  25. DivisorsList(A9) → B9
  26. Factors(A9) →
  27. Element(B9, Length[B9] - 1) → C9
  28. DivisorsList(A10) → B10
  29. Factors(A10) →
  30. Element(B10, Length[B10] - 1) → C10
  31. DivisorsList(A11) → B11
  32. Factors(A11) →
  33. Element(B11, Length[B11] - 1) → C11
  34. DivisorsList(A12) → B12
  35. Factors(A12) →
  36. Element(B12, Length[B12] - 1) → C12
  37. DivisorsList(A13) → B13
  38. Factors(A13) →
  39. Element(B13, Length[B13] - 1) → C13
  40. DivisorsList(A14) → B14
  41. Factors(A14) →
  42. Element(B14, Length[B14] - 1) → C14
  43. DivisorsList(A15) → B15
  44. Factors(A15) →
  45. Element(B15, Length[B15] - 1) → C15
  46. DivisorsList(A16) → B16
  47. Factors(A16) →
  48. Element(B16, Length[B16] - 1) → C16
  49. DivisorsList(A17) → B17
  50. Factors(A17) →
  51. Element(B17, Length[B17] - 1) → C17
  52. DivisorsList(A18) → B18
  53. Factors(A18) →
  54. Element(B18, Length[B18] - 1) → C18
  55. DivisorsList(A19) → B19
  56. Factors(A19) →
  57. Element(B19, Length[B19] - 1) → C19
  58. DivisorsList(A20) → B20
  59. Factors(A20) →
  60. Element(B20, Length[B20] - 1) → C20
  61. Element(B1, Length[B1] - 2) → D1
  62. Element(B2, Length[B2] - 2) → D2
  63. Element(B3, Length[B3] - 2) → D3
  64. Element(B4, Length[B4] - 2) → D4
  65. Element(B5, Length[B5] - 2) → D5
  66. Element(B6, Length[B6] - 2) → D6
  67. Element(B7, Length[B7] - 2) → D7
  68. Element(B8, Length[B8] - 2) → D8
  69. Element(B9, Length[B9] - 2) → D9
  70. Element(B10, Length[B10] - 2) → D10
  71. Element(B11, Length[B11] - 2) → D11
  72. Element(B12, Length[B12] - 2) → D12
  73. Element(B13, Length[B13] - 2) → D13
  74. Element(B14, Length[B14] - 2) → D14
  75. Element(B15, Length[B15] - 2) → D15
  76. Element(B16, Length[B16] - 2) → D16
  77. Element(B17, Length[B17] - 2) → D17
  78. Element(B18, Length[B18] - 2) → D18
  79. Element(B19, Length[B19] - 2) → D19
  80. Element(B20, Length[B20] - 2) → D20
  81. DivisorsList(E2) → F2
  82. Factors(E2) →
  83. Element(F2, Length[F2] - 1) → G2
  84. DivisorsList(E3) → F3
  85. Factors(E3) →
  86. Element(F3, Length[F3] - 1) → G3
  87. DivisorsList(E4) → F4
  88. Factors(E4) →
  89. Element(F4, Length[F4] - 1) → G4
  90. DivisorsList(E5) → F5
  91. Factors(E5) →
  92. Element(F5, Length[F5] - 1) → G5
  93. DivisorsList(E6) → F6
  94. Factors(E6) →
  95. Element(F6, Length[F6] - 1) → G6
  96. DivisorsList(E7) → F7
  97. Factors(E7) →
  98. Element(F7, Length[F7] - 1) → G7
  99. DivisorsList(E8) → F8
  100. Factors(E8) →
  101. Element(F8, Length[F8] - 1) → G8
  102. DivisorsList(E9) → F9
  103. Factors(E9) →
  104. Element(F9, Length[F9] - 1) → G9
  105. DivisorsList(E10) → F10
  106. Factors(E10) →
  107. Element(F10, Length[F10] - 1) → G10
  108. DivisorsList(E11) → F11
  109. Factors(E11) →
  110. Element(F11, Length[F11] - 1) → G11
  111. DivisorsList(E12) → F12
  112. Factors(E12) →
  113. Element(F12, Length[F12] - 1) → G12
  114. DivisorsList(E13) → F13
  115. Factors(E13) →
  116. Element(F13, Length[F13] - 1) → G13
  117. DivisorsList(E14) → F14
  118. Factors(E14) →
  119. Element(F14, Length[F14] - 1) → G14
  120. DivisorsList(E15) → F15
  121. Factors(E15) →
  122. Element(F15, Length[F15] - 1) → G15
  123. DivisorsList(E16) → F16
  124. Factors(E16) →
  125. Element(F16, Length[F16] - 1) → G16
  126. DivisorsList(E17) → F17
  127. Factors(E17) →
  128. Element(F17, Length[F17] - 1) → G17
  129. DivisorsList(E18) → F18
  130. Factors(E18) →
  131. Element(F18, Length[F18] - 1) → G18
  132. DivisorsList(E19) → F19
  133. Factors(E19) →
  134. Element(F19, Length[F19] - 1) → G19
  135. DivisorsList(H2) → I2
  136. Factors(H2) →
  137. Element(I2, Length[I2] - 1) → J2
  138. DivisorsList(H3) → I3
  139. Factors(H3) →
  140. Element(I3, Length[I3] - 1) → J3
  141. DivisorsList(H4) → I4
  142. Factors(H4) →
  143. Element(I4, Length[I4] - 1) → J4
  144. DivisorsList(H5) → I5
  145. Factors(H5) →
  146. Element(I5, Length[I5] - 1) → J5
  147. DivisorsList(H6) → I6
  148. Factors(H6) →
  149. Element(I6, Length[I6] - 1) → J6
  150. DivisorsList(H7) → I7
  151. Factors(H7) →
  152. Element(I7, Length[I7] - 1) → J7
  153. DivisorsList(H8) → I8
  154. Factors(H8) →
  155. Element(I8, Length[I8] - 1) → J8
  156. DivisorsList(H9) → I9
  157. Factors(H9) →
  158. Element(I9, Length[I9] - 1) → J9
  159. DivisorsList(H10) → I10
  160. Factors(H10) →
  161. Element(I10, Length[I10] - 1) → J10
  162. DivisorsList(H11) → I11
  163. Factors(H11) →
  164. Element(I11, Length[I11] - 1) → J11
  165. DivisorsList(H12) → I12
  166. Factors(H12) →
  167. Element(I12, Length[I12] - 1) → J12
  168. DivisorsList(H13) → I13
  169. Factors(H13) →
  170. Element(I13, Length[I13] - 1) → J13
  171. DivisorsList(H14) → I14
  172. Factors(H14) →
  173. Element(I14, Length[I14] - 1) → J14
  174. DivisorsList(H15) → I15
  175. Factors(H15) →
  176. Element(I15, Length[I15] - 1) → J15
  177. DivisorsList(H16) → I16
  178. Factors(H16) →
  179. Element(I16, Length[I16] - 1) → J16
  180. DivisorsList(H17) → I17
  181. Factors(H17) →
  182. Element(I17, Length[I17] - 1) → J17
  183. DivisorsList(H18) → I18
  184. Factors(H18) →
  185. Element(I18, Length[I18] - 1) → J18
  186. DivisorsList(H19) → I19
  187. Factors(H19) →
  188. Element(I19, Length[I19] - 1) → J19
  189. DivisorsList(H20) → I20
  190. Factors(H20) →
  191. Element(I20, Length[I20] - 1) → J20

AI 绘图提示语参考

使用电子表格解决数学问题，展示如何分析因数和约数。绘制多个函数图像，包括分数、不等边三角形和二次函数，并标注关键因数和约数，从第1个到第16个依次展示，每个数用DivisorsList和Factors命令处理，取最后一个元素作为关键点，按顺序连接这些关键点形成几何构造序列。
以上提示语为根据原始绘图命令整理而来，仅供参考。