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百分数与分数

百分数与分数
几何画板及绘图内容加载中，请稍等……
2017-06-24 01:25
函数解析几何概率统计
①本范例演示了百分数与分数之间的转换关系及视觉表现；②涉及核心数学概念包括百分数、分数、椭圆、算术运算、线性函数、超几何分布及均值；③作图要点提炼自构造摘要，使用了Random（随机数生成）、Intersect（交集）、Polygon（多边形）、Sum（求和）等GeoGebra命令与对象；④适合高中阶段数学教学，用于理解数值转换及几何应用。

GeoGebra 命令及参数

  1. Random(1, 100) → e
  2. Intersect(xAxis, yAxis) → A
  3. Polygon(A, B1, B2, A2) → poly1, a, b1, b2, a2
  4. Polygon(A2, B2, B3, A3) → poly2, a2_1, b2_1, b3, a3
  5. Polygon(A3, B3, B4, A4) → poly3, a3_1, b3_1, b4, a4
  6. Polygon(A4, B4, B5, A5) → poly4, a4_1, b4_1, b5, a5
  7. Polygon(A5, B5, B6, A6) → poly5, a5_1, b5_1, b6, a6
  8. Polygon(A6, B6, B7, A7) → poly6, a6_1, b6_1, b7, a7
  9. Polygon(A7, B7, B8, A8) → poly7, a7_1, b7_1, b8, a8
  10. Polygon(A8, B8, B9, A9) → poly8, a8_1, b8_1, b9, a9
  11. Polygon(A9, B9, B10, A10) → poly9, a9_1, b9_1, b10, a10
  12. Polygon(A10, B10, B11, A11) → poly10, a10_1, b10_1, b11, a11
  13. Polygon(B1, B2, C2, C1) → poly11, b1_1, b2_2, c2, c1
  14. Polygon(B2, C2, C3, B3) → poly12, b2_3, c2_1, c3, b3_2
  15. Polygon(C3, C4, B4, B3) → poly13, c3_1, c4, b4_2, b3_3
  16. Polygon(C4, C5, B5, B4) → poly14, c4_1, c5, b5_2, b4_3
  17. Polygon(C5, C6, B6, B5) → poly15, c5_1, c6, b6_2, b5_3
  18. Polygon(C6, C7, B7, B6) → poly16, c6_1, c7, b7_2, b6_3
  19. Polygon(C7, C8, B8, B7) → poly17, c7_1, c8, b8_2, b7_3
  20. Polygon(C8, C9, B9, B8) → poly18, c8_1, c9, b9_2, b8_3
  21. Polygon(C9, C10, B10, B9) → poly19, c9_1, c10, b10_2, b9_3
  22. Polygon(C10, C11, B11, B10) → poly20, c10_1, c11, b11_1, b10_3
  23. Polygon(C1, D1, D2, C2) → poly21, c1_1, d1, d2, c2_2
  24. Polygon(C2, D2, D3, C3) → poly22, c2_3, d2_1, d3, c3_2
  25. Polygon(C3, D3, D4, C4) → poly23, c3_3, d3_1, d4, c4_2
  26. Polygon(C4, D4, D5, C5) → poly24, c4_3, d4_1, d5, c5_2
  27. Polygon(C5, D5, D6, C6) → poly25, c5_3, d5_1, d6, c6_2
  28. Polygon(C6, D6, D7, C7) → poly26, c6_3, d6_1, d7, c7_2
  29. Polygon(D7, D8, C8, C7) → poly27, d7_1, d8, c8_2, c7_3
  30. Polygon(D8, D9, C9, C8) → poly28, d8_1, d9, c9_2, c8_3
  31. Polygon(D9, D10, C10, C9) → poly29, d9_1, d10, c10_2, c9_3
  32. Polygon(D10, D11, C11, C10) → poly30, d10_1, d11, c11_1, c10_3
  33. Polygon(D1, E1, E2, D2) → poly31, d1_1, e1, e2, d2_2
  34. Polygon(E2, E3, D3, D2) → poly32, e2_1, e3, d3_2, d2_3
  35. Polygon(E3, E4, D4, D3) → poly33, e3_1, e4, d4_2, d3_3
  36. Polygon(E4, E5, D5, D4) → poly34, e4_1, e5, d5_2, d4_3
  37. Polygon(E5, E6, D6, D5) → poly35, e5_1, e6, d6_2, d5_3
  38. Polygon(E6, E7, D7, D6) → poly36, e6_1, e7, d7_2, d6_3
  39. Polygon(E7, E8, D8, D7) → poly37, e7_1, e8, d8_2, d7_3
  40. Polygon(E8, E9, D9, D8) → poly38, e8_1, e9, d9_2, d8_3
  41. Polygon(E9, E10, D10, D9) → poly39, e9_1, e10, d10_2, d9_3
  42. Polygon(E10, E11, D11, D10) → poly40, e10_1, e11, d11_1, d10_3
  43. Polygon(E1, F1, F2, E2) → poly41, e1_1, f1, f2, e2_2
  44. Polygon(E2, F2, F3, E3) → poly42, e2_3, f2_1, f3, e3_2
  45. Polygon(F3, F4, E4, E3) → poly43, f3_1, f4, e4_2, e3_3
  46. Polygon(F4, F5, E5, E4) → poly44, f4_1, f5, e5_2, e4_3
  47. Polygon(F5, F6, E6, E5) → poly45, f5_1, f6, e6_2, e5_3
  48. Polygon(F6, F7, E7, E6) → poly46, f6_1, f7, e7_2, e6_3
  49. Polygon(F7, F8, E8, E7) → poly47, f7_1, f8, e8_2, e7_3
  50. Polygon(E8, F8, F9, E9) → poly48, e8_3, f8_1, f9, e9_2
  51. Polygon(E9, F9, F10, E10) → poly49, e9_3, f9_1, f10, e10_2
  52. Polygon(F10, F11, E11, E10) → poly50, f10_1, f11, e11_1, e10_3
  53. Polygon(F1, G1, G2, F2) → poly51, f1_1, g1, g2, f2_2
  54. Polygon(G2, G3, F3, F2) → poly52, g2_1, g3, f3_2, f2_3
  55. Polygon(G3, G4, F4, F3) → poly53, g3_1, g4, f4_2, f3_3
  56. Polygon(G4, G5, F5, F4) → poly54, g4_1, g5, f5_2, f4_3
  57. Polygon(G5, G6, F6, F5) → poly55, g5_1, g6, f6_2, f5_3
  58. Polygon(G6, G7, F7, F6) → poly56, g6_1, g7, f7_2, f6_3
  59. Polygon(G7, G8, F8, F7) → poly57, g7_1, g8, f8_2, f7_3
  60. Polygon(G8, G9, F9, F8) → poly58, g8_1, g9, f9_2, f8_3
  61. Polygon(G9, G10, F10, F9) → poly59, g9_1, g10, f10_2, f9_3
  62. Polygon(G10, G11, F11, F10) → poly60, g10_1, g11, f11_1, f10_3
  63. Polygon(G1, H1, H2, G2) → poly61, g1_1, h1, h2, g2_2
  64. Polygon(H2, H3, G3, G2) → poly62, h2_1, h3, g3_2, g2_3
  65. Polygon(H3, H4, G4, G3) → poly63, h3_1, h4, g4_2, g3_3
  66. Polygon(H4, H5, G5, G4) → poly64, h4_1, h5, g5_2, g4_3
  67. Polygon(H5, H6, G6, G5) → poly65, h5_1, h6, g6_2, g5_3
  68. Polygon(H6, H7, G7, G6) → poly66, h6_1, h7, g7_2, g6_3
  69. Polygon(H7, H8, G8, G7) → poly67, h7_1, h8, g8_2, g7_3
  70. Polygon(H8, H9, G9, G8) → poly68, h8_1, h9, g9_2, g8_3
  71. Polygon(H9, H10, G10, G9) → poly69, h9_1, h10, g10_2, g9_3
  72. Polygon(G10, H10, H11, G11) → poly70, g10_3, h10_1, h11, g11_1
  73. Polygon(H1, I1, I2, H2) → poly71, h1_1, i1, i2, h2_2
  74. Polygon(H2, I2, I3, H3) → poly72, h2_3, i2_1, i3, h3_2
  75. Polygon(H3, I3, I4, H4) → poly73, h3_3, i3_1, i4, h4_2
  76. Polygon(H4, I4, I5, H5) → poly74, h4_3, i4_1, i5, h5_2
  77. Polygon(I5, I6, H6, H5) → poly75, i5_1, i6, h6_2, h5_3
  78. Polygon(I6, I7, H7, H6) → poly76, i6_1, i7, h7_2, h6_3
  79. Polygon(H7, I7, I8, H8) → poly77, h7_3, i7_1, i8, h8_2
  80. Polygon(I8, I9, H9, H8) → poly78, i8_1, i9, h9_2, h8_3
  81. Polygon(I9, I10, H10, H9) → poly79, i9_1, i10, h10_2, h9_3
  82. Polygon(I10, I11, H11, H10) → poly80, i10_1, i11, h11_1, h10_3
  83. Polygon(I1, J1, J2, I2) → poly81, i1_1, j1, j2, i2_2
  84. Polygon(J2, J3, I3, I2) → poly82, j2_1, j3, i3_2, i2_3
  85. Polygon(J3, J4, I4, I3) → poly83, j3_1, j4, i4_2, i3_3
  86. Polygon(J4, J5, I5, I4) → poly84, j4_1, j5, i5_2, i4_3
  87. Polygon(J5, J6, I6, I5) → poly85, j5_1, j6, i6_2, i5_3
  88. Polygon(J6, J7, I7, I6) → poly86, j6_1, j7, i7_2, i6_3
  89. Polygon(J7, J8, I8, I7) → poly87, j7_1, j8, i8_2, i7_3
  90. Polygon(J8, J9, I9, I8) → poly88, j8_1, j9, i9_2, i8_3
  91. Polygon(J9, J10, I10, I9) → poly89, j9_1, j10, i10_2, i9_3
  92. Polygon(J10, J11, I11, I10) → poly90, j10_1, j11, i11_1, i10_3
  93. Polygon(J1, K1, K2, J2) → poly91, j1_1, k1, k2, j2_2
  94. Polygon(K2, K3, J3, J2) → poly92, k2_1, k3, j3_2, j2_3
  95. Polygon(K3, K4, J4, J3) → poly93, k3_1, k4, j4_2, j3_3
  96. Polygon(K4, K5, J5, J4) → poly94, k4_1, k5, j5_2, j4_3
  97. Polygon(K5, K6, J6, J5) → poly95, k5_1, k6, j6_2, j5_3
  98. Polygon(K6, K7, J7, J6) → poly96, k6_1, k7, j7_2, j6_3
  99. Polygon(K7, K8, J8, J7) → poly97, k7_1, k8, j8_2, j7_3
  100. Polygon(K8, K9, J9, J8) → poly98, k8_1, k9, j9_2, j8_3
  101. Polygon(K9, K10, J10, J9) → poly99, k9_1, k10, j10_2, j9_3
  102. Polygon(K10, K11, J11, J10) → poly100, k10_1, k11, j11_1, j10_3
  103. Polygon(A, B1, B2, A2) → poly101, a_1, b1_2, b2_4, a2_2
  104. Polygon(A2, B2, B3, A3) → poly102, a2_3, b2_5, b3_4, a3_2
  105. Polygon(A3, B3, B4, A4) → poly103, a3_3, b3_5, b4_4, a4_2
  106. Polygon(A4, B4, B5, A5) → poly104, a4_3, b4_5, b5_4, a5_2
  107. Polygon(A5, B5, B6, A6) → poly105, a5_3, b5_5, b6_4, a6_2
  108. Polygon(A6, B6, B7, A7) → poly106, a6_3, b6_5, b7_4, a7_2
  109. Polygon(A7, B7, B8, A8) → poly107, a7_3, b7_5, b8_4, a8_2
  110. Polygon(A8, B8, B9, A9) → poly108, a8_3, b8_5, b9_4, a9_2
  111. Polygon(A9, B9, B10, A10) → poly109, a9_3, b9_5, b10_4, a10_2
  112. Polygon(A10, B10, B11, A11) → poly110, a10_3, b10_5, b11_2, a11_1
  113. Sum(L1:L100) → L101
  114. Polygon(B1, B2, C2, C1) → poly111, b1_3, b2_6, c2_4, c1_2
  115. Polygon(B2, B3, C3, C2) → poly112, b2_7, b3_6, c3_4, c2_5
  116. Polygon(B3, B4, C4, C3) → poly113, b3_7, b4_6, c4_4, c3_5
  117. Polygon(B4, B5, C5, C4) → poly114, b4_7, b5_6, c5_4, c4_5
  118. Polygon(B5, B6, C6, C5) → poly115, b5_7, b6_6, c6_4, c5_5
  119. Polygon(B6, B7, C7, C6) → poly116, b6_7, b7_6, c7_4, c6_5
  120. Polygon(B7, B8, C8, C7) → poly117, b7_7, b8_6, c8_4, c7_5
  121. Polygon(B8, B9, C9, C8) → poly118, b8_7, b9_6, c9_4, c8_5
  122. Polygon(B9, B10, C10, C9) → poly119, b9_7, b10_6, c10_4, c9_5
  123. Polygon(B10, B11, C11, C10) → poly120, b10_7, b11_3, c11_2, c10_5
  124. Polygon(C1, D1, D2, C2) → poly121, c1_3, d1_2, d2_4, c2_6
  125. Polygon(C2, D2, D3, C3) → poly122, c2_7, d2_5, d3_4, c3_6
  126. Polygon(C3, D3, D4, C4) → poly123, c3_7, d3_5, d4_4, c4_6
  127. Polygon(C4, D4, D5, C5) → poly124, c4_7, d4_5, d5_4, c5_6
  128. Polygon(C5, D5, D6, C6) → poly125, c5_7, d5_5, d6_4, c6_6
  129. Polygon(C6, D6, D7, C7) → poly126, c6_7, d6_5, d7_4, c7_6
  130. Polygon(C7, D7, D8, C8) → poly127, c7_7, d7_5, d8_4, c8_6
  131. Polygon(C8, D8, D9, C9) → poly128, c8_7, d8_5, d9_4, c9_6
  132. Polygon(C9, D9, D10, C10) → poly129, c9_7, d9_5, d10_4, c10_6
  133. Polygon(C10, D10, D11, C11) → poly130, c10_7, d10_5, d11_2, c11_3
  134. Polygon(D1, E1, E2, D2) → poly131, d1_3, e1_2, e2_4, d2_6
  135. Polygon(D2, E2, E3, D3) → poly132, d2_7, e2_5, e3_4, d3_6
  136. Polygon(D3, E3, E4, D4) → poly133, d3_7, e3_5, e4_4, d4_6
  137. Polygon(D4, E4, E5, D5) → poly134, d4_7, e4_5, e5_4, d5_6
  138. Polygon(D5, E5, E6, D6) → poly135, d5_7, e5_5, e6_4, d6_6
  139. Polygon(D6, E6, E7, D7) → poly136, d6_7, e6_5, e7_4, d7_6
  140. Polygon(D7, E7, E8, D8) → poly137, d7_7, e7_5, e8_4, d8_6
  141. Polygon(D8, E8, E9, D9) → poly138, d8_7, e8_5, e9_4, d9_6
  142. Polygon(D9, E9, E10, D10) → poly139, d9_7, e9_5, e10_4, d10_6
  143. Polygon(D10, E10, E11, D11) → poly140, d10_7, e10_5, e11_2, d11_3
  144. Polygon(E1, F1, F2, E2) → poly141, e1_3, f1_2, f2_4, e2_6
  145. Polygon(E2, F2, F3, E3) → poly142, e2_7, f2_5, f3_4, e3_6
  146. Polygon(E3, F3, F4, E4) → poly143, e3_7, f3_5, f4_4, e4_6
  147. Polygon(E4, F4, F5, E5) → poly144, e4_7, f4_5, f5_4, e5_6
  148. Polygon(E5, F5, F6, E6) → poly145, e5_7, f5_5, f6_4, e6_6
  149. Polygon(E6, F6, F7, E7) → poly146, e6_7, f6_5, f7_4, e7_6
  150. Polygon(E7, F7, F8, E8) → poly147, e7_7, f7_5, f8_4, e8_6
  151. Polygon(E8, F8, F9, E9) → poly148, e8_7, f8_5, f9_4, e9_6
  152. Polygon(E9, F9, F10, E10) → poly149, e9_7, f9_5, f10_4, e10_6
  153. Polygon(E10, F10, F11, E11) → poly150, e10_7, f10_5, f11_2, e11_3
  154. Polygon(F1, G1, G2, F2) → poly151, f1_3, g1_2, g2_4, f2_6
  155. Polygon(F2, G2, G3, F3) → poly152, f2_7, g2_5, g3_4, f3_6
  156. Polygon(F3, G3, G4, F4) → poly153, f3_7, g3_5, g4_4, f4_6
  157. Polygon(F4, G4, G5, F5) → poly154, f4_7, g4_5, g5_4, f5_6
  158. Polygon(F5, G5, G6, F6) → poly155, f5_7, g5_5, g6_4, f6_6
  159. Polygon(F6, G6, G7, F7) → poly156, f6_7, g6_5, g7_4, f7_6
  160. Polygon(F7, G7, G8, F8) → poly157, f7_7, g7_5, g8_4, f8_6
  161. Polygon(F8, G8, G9, F9) → poly158, f8_7, g8_5, g9_4, f9_6
  162. Polygon(F9, G9, G10, F10) → poly159, f9_7, g9_5, g10_4, f10_6
  163. Polygon(F10, G10, G11, F11) → poly160, f10_7, g10_5, g11_2, f11_3
  164. Polygon(G1, H1, H2, G2) → poly161, g1_3, h1_2, h2_4, g2_6
  165. Polygon(G2, H2, H3, G3) → poly162, g2_7, h2_5, h3_4, g3_6
  166. Polygon(G3, H3, H4, G4) → poly163, g3_7, h3_5, h4_4, g4_6
  167. Polygon(G4, H4, H5, G5) → poly164, g4_7, h4_5, h5_4, g5_6
  168. Polygon(G5, H5, H6, G6) → poly165, g5_7, h5_5, h6_4, g6_6
  169. Polygon(G6, H6, H7, G7) → poly166, g6_7, h6_5, h7_4, g7_6
  170. Polygon(G7, H7, H8, G8) → poly167, g7_7, h7_5, h8_4, g8_6
  171. Polygon(G8, H8, H9, G9) → poly168, g8_7, h8_5, h9_4, g9_6
  172. Polygon(G9, H9, H10, G10) → poly169, g9_7, h9_5, h10_4, g10_6
  173. Polygon(G10, H10, H11, G11) → poly170, g10_7, h10_5, h11_2, g11_3
  174. Polygon(H1, I1, I2, H2) → poly171, h1_3, i1_2, i2_4, h2_6
  175. Polygon(H2, I2, I3, H3) → poly172, h2_7, i2_5, i3_4, h3_6
  176. Polygon(H3, I3, I4, H4) → poly173, h3_7, i3_5, i4_4, h4_6
  177. Polygon(H4, I4, I5, H5) → poly174, h4_7, i4_5, i5_4, h5_6
  178. Polygon(H5, I5, I6, H6) → poly175, h5_7, i5_5, i6_4, h6_6
  179. Polygon(H6, I6, I7, H7) → poly176, h6_7, i6_5, i7_4, h7_6
  180. Polygon(H7, I7, I8, H8) → poly177, h7_7, i7_5, i8_4, h8_6
  181. Polygon(H8, I8, I9, H9) → poly178, h8_7, i8_5, i9_4, h9_6
  182. Polygon(H9, I9, I10, H10) → poly179, h9_7, i9_5, i10_4, h10_6
  183. Polygon(H10, I10, I11, H11) → poly180, h10_7, i10_5, i11_2, h11_3
  184. Polygon(I1, J1, J2, I2) → poly181, i1_3, j1_2, j2_4, i2_6
  185. Polygon(I2, J2, J3, I3) → poly182, i2_7, j2_5, j3_4, i3_6
  186. Polygon(I3, J3, J4, I4) → poly183, i3_7, j3_5, j4_4, i4_6
  187. Polygon(I4, J4, J5, I5) → poly184, i4_7, j4_5, j5_4, i5_6
  188. Polygon(I5, J5, J6, I6) → poly185, i5_7, j5_5, j6_4, i6_6
  189. Polygon(I6, J6, J7, I7) → poly186, i6_7, j6_5, j7_4, i7_6
  190. Polygon(I7, J7, J8, I8) → poly187, i7_7, j7_5, j8_4, i8_6
  191. Polygon(I8, J8, J9, I9) → poly188, i8_7, j8_5, j9_4, i9_6
  192. Polygon(I9, J9, J10, I10) → poly189, i9_7, j9_5, j10_4, i10_6
  193. Polygon(I10, J10, J11, I11) → poly190, i10_7, j10_5, j11_2, i11_3
  194. Polygon(J1, K1, K2, J2) → poly191, j1_3, k1_1, k2_2, j2_6
  195. Polygon(J2, K2, K3, J3) → poly192, j2_7, k2_3, k3_2, j3_6
  196. Polygon(J3, K3, K4, J4) → poly193, j3_7, k3_3, k4_2, j4_6
  197. Polygon(J4, K4, K5, J5) → poly194, j4_7, k4_3, k5_2, j5_6
  198. Polygon(J5, K5, K6, J6) → poly195, j5_7, k5_3, k6_2, j6_6
  199. Polygon(J6, K6, K7, J7) → poly196, j6_7, k6_3, k7_2, j7_6
  200. Polygon(J7, K7, K8, J8) → poly197, j7_7, k7_3, k8_2, j8_6
  201. Polygon(J8, K8, K9, J9) → poly198, j8_7, k8_3, k9_2, j9_6
  202. Polygon(J9, K9, K10, J10) → poly199, j9_7, k9_3, k10_2, j10_6
  203. Polygon(J10, K10, K11, J11) → poly200, j10_7, k10_3, k11_1, j11_3

AI 绘图提示语参考

画一个由多个多边形组成的图形，这些多边形围绕一个中心点，通过随机生成的百分比数值控制其大小和位置，展示百分比与分数的转换关系。图形中心是坐标轴的交点，向外扩展的多边形逐渐变大，形成层次感。每个多边形都与其他多边形共享顶点，构成一个复杂的几何网络，体现坐标几何和函数的关系。
以上提示语为根据原始绘图命令整理而来，仅供参考。