正棱柱体积计算演示

正棱柱体积计算演示
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2020-08-12 23:25
①本范例演示正棱柱体积的计算方法,通过可视化展示底面积与高的乘积关系;②涉及核心数学概念包括体积公式、底面积计算、三维几何体构造;③构造要点:使用Polygon命令绘制底面多边形,Prism命令生成棱柱,Point命令定位关键点,涉及对象如poly1_2、faceABFE_2等;④适合初中及以上学生学习立体几何体积计算,也可用于数学教学演示。

GeoGebra 命令及参数

  1. Polygon(A_2, B_2, C_2, D_2) → poly1_2, a_2, b_2, c_2, d_2
  2. Prism(poly1_2, E_2) → e_2, F_2, edgeBF_2, edgeCG_2, edgeDH_2, edgeEF_2, edgeFG_2, edgeGH_2, edgeEH_2, G_2, H_2, faceABFE_2, faceBCGF_2, faceCDHG_2, faceADHE_2, faceEFGH_2, edgeAE_2
  3. Polygon(A_3, B_3, C_3, D_3) → poly1_3, a_3, b_3, c_3, d_3
  4. Prism(poly1_3, E_3) → e_3, F_3, edgeBF_3, edgeCG_3, edgeDH_3, edgeEF_3, edgeFG_3, edgeGH_3, edgeEH_3, G_3, H_3, faceABFE_3, faceBCGF_3, faceCDHG_3, faceADHE_3, faceEFGH_3, edgeAE_3
  5. Polygon(A_4, B_4, C_4, D_4) → poly1_4, a_4, b_4, c_4, d_4
  6. Prism(poly1_4, E_4) → e_4, F_4, edgeBF_4, edgeCG_4, edgeDH_4, edgeEF_4, edgeFG_4, edgeGH_4, edgeEH_4, G_4, H_4, faceABFE_4, faceBCGF_4, faceCDHG_4, faceADHE_4, faceEFGH_4, edgeAE_4
  7. Polygon(A_5, B_5, C_5, D_5) → poly1_5, a_5, b_5, c_5, d_5
  8. Prism(poly1_5, E_5) → e_5, F_5, edgeBF_5, edgeCG_5, edgeDH_5, edgeEF_5, edgeFG_5, edgeGH_5, edgeEH_5, G_5, H_5, faceABFE_5, faceBCGF_5, faceCDHG_5, faceADHE_5, faceEFGH_5, edgeAE_5
  9. Polygon(A_6, B_6, C_6, D_6) → poly1_6, a_6, b_6, c_6, d_6
  10. Prism(poly1_6, E_6) → e_6, F_6, edgeBF_6, edgeCG_6, edgeDH_6, edgeEF_6, edgeFG_6, edgeGH_6, edgeEH_6, G_6, H_6, faceABFE_6, faceBCGF_6, faceCDHG_6, faceADHE_6, faceEFGH_6, edgeAE_6
  11. Polygon(A_7, B_7, C_7, D_7) → poly1_7, a_7, b_7, c_7, d_7
  12. Prism(poly1_7, E_7) → e_7, F_7, edgeBF_7, edgeCG_7, edgeDH_7, edgeEF_7, edgeFG_7, edgeGH_7, edgeEH_7, G_7, H_7, faceABFE_7, faceBCGF_7, faceCDHG_7, faceADHE_7, faceEFGH_7, edgeAE_7
  13. Polygon(A_8, B_8, C_8, D_8) → poly1_8, a_8, b_8, c_8, d_8
  14. Prism(poly1_8, E_8) → e_8, F_8, edgeBF_8, edgeCG_8, edgeDH_8, edgeEF_8, edgeFG_8, edgeGH_8, edgeEH_8, G_8, H_8, faceABFE_8, faceBCGF_8, faceCDHG_8, faceADHE_8, faceEFGH_8, edgeAE_8
  15. Polygon(A_9, B_9, C_9, D_9) → poly1_9, a_9, b_9, c_9, d_9
  16. Prism(poly1_9, E_9) → e_9, F_9, edgeBF_9, edgeCG_9, edgeDH_9, edgeEF_9, edgeFG_9, edgeGH_9, edgeEH_9, G_9, H_9, faceABFE_9, faceBCGF_9, faceCDHG_9, faceADHE_9, faceEFGH_9, edgeAE_9
  17. Polygon(A_{10}, B_{10}, C_{10}, D_{10}) → poly1_{10}, a_{10}, b_{10}, c_{10}, d_{10}
  18. Prism(poly1_{10}, E_{10}) → e_{10}, F_{10}, edgeBF_{10}, edgeCG_{10}, edgeDH_{10}, edgeEF_{10}, edgeFG_{10}, edgeGH_{10}, edgeEH_{10}, G_{10}, H_{10}, faceABFE_{10}, faceBCGF_{10}, faceCDHG_{10}, faceADHE_{10}, faceEFGH_{10}, edgeAE_{10}
  19. Polygon(A_{11}, B_{11}, C_{11}, D_{11}) → poly1_{11}, a_{11}, b_{11}, c_{11}, d_{11}
  20. Prism(poly1_{11}, E_{11}) → e_{11}, F_{11}, edgeBF_{11}, edgeCG_{11}, edgeDH_{11}, edgeEF_{11}, edgeFG_{11}, edgeGH_{11}, edgeEH_{11}, G_{11}, H_{11}, faceABFE_{11}, faceBCGF_{11}, faceCDHG_{11}, faceADHE_{11}, faceEFGH_{11}, edgeAE_{11}
  21. Polygon(A_1, B_1, C_1, D_1) → poly1_1, a_1, b_1, c_1, d_1
  22. Prism(poly1_1, E_1) → e_1, F_1, edgeBF_1, edgeCG_1, edgeDH_1, edgeEF_1, edgeFG_1, edgeGH_1, edgeEH_1, G_1, H_1, faceABFE_1, faceBCGF_1, faceCDHG_1, faceADHE_1, faceEFGH_1, edgeAE_1
  23. Polygon(A_{12}, B_{12}, C_{12}, D_{12}) → poly1_{12}, a_{12}, b_{12}, c_{12}, d_{12}
  24. Prism(poly1_{12}, E_{12}) → e_{12}, F_{12}, edgeBF_{12}, edgeCG_{12}, edgeDH_{12}, edgeEF_{12}, edgeFG_{12}, edgeGH_{12}, edgeEH_{12}, G_{12}, H_{12}, faceABFE_{12}, faceBCGF_{12}, faceCDHG_{12}, faceADHE_{12}, faceEFGH_{12}, edgeAE_{12}
  25. Polygon(E, B, C, D) → poly1, a, b, c, d
  26. Polygon(A_{13}, B_{13}, C_{13}, D_{13}) → poly1_{13}, a_{13}, b_{13}, c_{13}, d_{13}
  27. Prism(poly1_{13}, E_{13}) → e_{13}, F_{13}, edgeBF_{13}, edgeCG_{13}, edgeDH_{13}, edgeEF_{13}, edgeFG_{13}, edgeGH_{13}, edgeEH_{13}, G_{13}, H_{13}, faceABFE_{13}, faceBCGF_{13}, faceCDHG_{13}, faceADHE_{13}, faceEFGH_{13}, edgeAE_{13}
  28. Polygon(A_{14}, B_{14}, C_{14}, D_{14}) → poly1_{14}, a_{14}, b_{14}, c_{14}, d_{14}
  29. Prism(poly1_{14}, E_{14}) → e_{14}, F_{14}, edgeBF_{14}, edgeCG_{14}, edgeDH_{14}, edgeEF_{14}, edgeFG_{14}, edgeGH_{14}, edgeEH_{14}, G_{14}, H_{14}, faceABFE_{14}, faceBCGF_{14}, faceCDHG_{14}, faceADHE_{14}, faceEFGH_{14}, edgeAE_{14}
  30. Polygon(A_{15}, B_{15}, C_{15}, D_{15}) → poly1_{15}, a_{15}, b_{15}, c_{15}, d_{15}
  31. Prism(poly1_{15}, E_{15}) → e_{15}, F_{15}, edgeBF_{15}, edgeCG_{15}, edgeDH_{15}, edgeEF_{15}, edgeFG_{15}, edgeGH_{15}, edgeEH_{15}, G_{15}, H_{15}, faceABFE_{15}, faceBCGF_{15}, faceCDHG_{15}, faceADHE_{15}, faceEFGH_{15}, edgeAE_{15}
  32. Polygon(A_{16}, B_{16}, C_{16}, D_{16}) → poly1_{16}, a_{16}, b_{16}, c_{16}, d_{16}
  33. Prism(poly1_{16}, E_{16}) → e_{16}, F_{16}, edgeBF_{16}, edgeCG_{16}, edgeDH_{16}, edgeEF_{16}, edgeFG_{16}, edgeGH_{16}, edgeEH_{16}, G_{16}, H_{16}, faceABFE_{16}, faceBCGF_{16}, faceCDHG_{16}, faceADHE_{16}, faceEFGH_{16}, edgeAE_{16}
  34. Polygon(A_{17}, B_{17}, C_{17}, D_{17}) → poly1_{17}, a_{17}, b_{17}, c_{17}, d_{17}
  35. Prism(poly1_{17}, E_{17}) → e_{17}, F_{17}, edgeBF_{17}, edgeCG_{17}, edgeDH_{17}, edgeEF_{17}, edgeFG_{17}, edgeGH_{17}, edgeEH_{17}, G_{17}, H_{17}, faceABFE_{17}, faceBCGF_{17}, faceCDHG_{17}, faceADHE_{17}, faceEFGH_{17}, edgeAE_{17}
  36. Polygon(A_{18}, B_{18}, C_{18}, D_{18}) → poly1_{18}, a_{18}, b_{18}, c_{18}, d_{18}
  37. Prism(poly1_{18}, E_{18}) → e_{18}, F_{18}, edgeBF_{18}, edgeCG_{18}, edgeDH_{18}, edgeEF_{18}, edgeFG_{18}, edgeGH_{18}, edgeEH_{18}, G_{18}, H_{18}, faceABFE_{18}, faceBCGF_{18}, faceCDHG_{18}, faceADHE_{18}, faceEFGH_{18}, edgeAE_{18}
  38. Polygon(A_{19}, B_{19}, C_{19}, D_{19}) → poly1_{19}, a_{19}, b_{19}, c_{19}, d_{19}
  39. Prism(poly1_{19}, E_{19}) → e_{19}, F_{19}, edgeBF_{19}, edgeCG_{19}, edgeDH_{19}, edgeEF_{19}, edgeFG_{19}, edgeGH_{19}, edgeEH_{19}, G_{19}, H_{19}, faceABFE_{19}, faceBCGF_{19}, faceCDHG_{19}, faceADHE_{19}, faceEFGH_{19}, edgeAE_{19}
  40. Polygon(A_{20}, B_{20}, C_{20}, D_{20}) → poly1_{20}, a_{20}, b_{20}, c_{20}, d_{20}
  41. Prism(poly1_{20}, E_{20}) → e_{20}, F_{20}, edgeBF_{20}, edgeCG_{20}, edgeDH_{20}, edgeEF_{20}, edgeFG_{20}, edgeGH_{20}, edgeEH_{20}, G_{20}, H_{20}, faceABFE_{20}, faceBCGF_{20}, faceCDHG_{20}, faceADHE_{20}, faceEFGH_{20}, edgeAE_{20}
  42. Polygon(A_{21}, B_{21}, C_{21}, D_{21}) → poly1_{21}, a_{21}, b_{21}, c_{21}, d_{21}
  43. Prism(poly1_{21}, E_{21}) → e_{21}, F_{21}, edgeBF_{21}, edgeCG_{21}, edgeDH_{21}, edgeEF_{21}, edgeFG_{21}, edgeGH_{21}, edgeEH_{21}, G_{21}, H_{21}, faceABFE_{21}, faceBCGF_{21}, faceCDHG_{21}, faceADHE_{21}, faceEFGH_{21}, edgeAE_{21}
  44. Polygon(A_{22}, B_{22}, C_{22}, D_{22}) → poly1_{22}, a_{22}, b_{22}, c_{22}, d_{22}
  45. Prism(poly1_{22}, E_{22}) → e_{22}, F_{22}, edgeBF_{22}, edgeCG_{22}, edgeDH_{22}, edgeEF_{22}, edgeFG_{22}, edgeGH_{22}, edgeEH_{22}, G_{22}, H_{22}, faceABFE_{22}, faceBCGF_{22}, faceCDHG_{22}, faceADHE_{22}, faceEFGH_{22}, edgeAE_{22}
  46. Polygon(A_{23}, B_{23}, C_{23}, D_{23}) → poly1_{23}, a_{23}, b_{23}, c_{23}, d_{23}
  47. Prism(poly1_{23}, E_{23}) → e_{23}, F_{23}, edgeBF_{23}, edgeCG_{23}, edgeDH_{23}, edgeEF_{23}, edgeFG_{23}, edgeGH_{23}, edgeEH_{23}, G_{23}, H_{23}, faceABFE_{23}, faceBCGF_{23}, faceCDHG_{23}, faceADHE_{23}, faceEFGH_{23}, edgeAE_{23}
  48. Polygon(A_{24}, B_{24}, C_{24}, D_{24}) → poly1_{24}, a_{24}, b_{24}, c_{24}, d_{24}
  49. Prism(poly1_{24}, E_{24}) → e_{24}, F_{24}, edgeBF_{24}, edgeCG_{24}, edgeDH_{24}, edgeEF_{24}, edgeFG_{24}, edgeGH_{24}, edgeEH_{24}, G_{24}, H_{24}, faceABFE_{24}, faceBCGF_{24}, faceCDHG_{24}, faceADHE_{24}, faceEFGH_{24}, edgeAE_{24}
  50. Polygon(E_{25}, B_{25}, C_{25}, D_{25}) → poly1_{25}, a_{25}, b_{25}, c_{25}, d_{25}
  51. Polygon(A_{25}, B_{26}, C_{26}, D_{26}) → poly1_{26}, a_{26}, b_{26}, c_{26}, d_{26}
  52. Prism(poly1_{26}, E_{26}) → e_{25}, F_{25}, edgeBF_{25}, edgeCG_{25}, edgeDH_{25}, edgeEF_{25}, edgeFG_{25}, edgeGH_{25}, edgeEH_{25}, G_{25}, H_{25}, faceABFE_{25}, faceBCGF_{25}, faceCDHG_{25}, faceADHE_{25}, faceEFGH_{25}, edgeAE_{25}
  53. Polygon(A_{26}, B_{27}, C_{27}, D_{27}) → poly1_{27}, a_{27}, b_{27}, c_{27}, d_{27}
  54. Prism(poly1_{27}, E_{27}) → e_{26}, F_{26}, edgeBF_{26}, edgeCG_{26}, edgeDH_{26}, edgeEF_{26}, edgeFG_{26}, edgeGH_{26}, edgeEH_{26}, G_{26}, H_{26}, faceABFE_{26}, faceBCGF_{26}, faceCDHG_{26}, faceADHE_{26}, faceEFGH_{26}, edgeAE_{26}
  55. Polygon(A_{27}, B_{28}, C_{28}, D_{28}) → poly1_{28}, a_{28}, b_{28}, c_{28}, d_{28}
  56. Prism(poly1_{28}, E_{28}) → e_{27}, F_{27}, edgeBF_{27}, edgeCG_{27}, edgeDH_{27}, edgeEF_{27}, edgeFG_{27}, edgeGH_{27}, edgeEH_{27}, G_{27}, H_{27}, faceABFE_{27}, faceBCGF_{27}, faceCDHG_{27}, faceADHE_{27}, faceEFGH_{27}, edgeAE_{27}
  57. Polygon(A_{28}, B_{29}, C_{29}, D_{29}) → poly1_{29}, a_{29}, b_{29}, c_{29}, d_{29}
  58. Prism(poly1_{29}, E_{29}) → e_{28}, F_{28}, edgeBF_{28}, edgeCG_{28}, edgeDH_{28}, edgeEF_{28}, edgeFG_{28}, edgeGH_{28}, edgeEH_{28}, G_{28}, H_{28}, faceABFE_{28}, faceBCGF_{28}, faceCDHG_{28}, faceADHE_{28}, faceEFGH_{28}, edgeAE_{28}
  59. Polygon(A_{29}, B_{30}, C_{30}, D_{30}) → poly1_{30}, a_{30}, b_{30}, c_{30}, d_{30}
  60. Prism(poly1_{30}, E_{30}) → e_{29}, F_{29}, edgeBF_{29}, edgeCG_{29}, edgeDH_{29}, edgeEF_{29}, edgeFG_{29}, edgeGH_{29}, edgeEH_{29}, G_{29}, H_{29}, faceABFE_{29}, faceBCGF_{29}, faceCDHG_{29}, faceADHE_{29}, faceEFGH_{29}, edgeAE_{29}
  61. Polygon(A_{30}, B_{31}, C_{31}, D_{31}) → poly1_{31}, a_{31}, b_{31}, c_{31}, d_{31}
  62. Prism(poly1_{31}, E_{31}) → e_{30}, F_{30}, edgeBF_{30}, edgeCG_{30}, edgeDH_{30}, edgeEF_{30}, edgeFG_{30}, edgeGH_{30}, edgeEH_{30}, G_{30}, H_{30}, faceABFE_{30}, faceBCGF_{30}, faceCDHG_{30}, faceADHE_{30}, faceEFGH_{30}, edgeAE_{30}
  63. Polygon(A_{31}, B_{32}, C_{32}, D_{32}) → poly1_{32}, a_{32}, b_{32}, c_{32}, d_{32}
  64. Prism(poly1_{32}, E_{32}) → e_{31}, F_{31}, edgeBF_{31}, edgeCG_{31}, edgeDH_{31}, edgeEF_{31}, edgeFG_{31}, edgeGH_{31}, edgeEH_{31}, G_{31}, H_{31}, faceABFE_{31}, faceBCGF_{31}, faceCDHG_{31}, faceADHE_{31}, faceEFGH_{31}, edgeAE_{31}
  65. Polygon(A_{32}, B_{33}, C_{33}, D_{33}) → poly1_{33}, a_{33}, b_{33}, c_{33}, d_{33}
  66. Prism(poly1_{33}, E_{33}) → e_{32}, F_{32}, edgeBF_{32}, edgeCG_{32}, edgeDH_{32}, edgeEF_{32}, edgeFG_{32}, edgeGH_{32}, edgeEH_{32}, G_{32}, H_{32}, faceABFE_{32}, faceBCGF_{32}, faceCDHG_{32}, faceADHE_{32}, faceEFGH_{32}, edgeAE_{32}
  67. Polygon(E_{38}, B_{38}, C_{38}, D_{38}) → poly1_{38}, a_{38}, b_{38}, c_{38}, d_{38}
  68. Polygon(A_{33}, B_{34}, C_{34}, D_{34}) → poly1_{34}, a_{34}, b_{34}, c_{34}, d_{34}
  69. Prism(poly1_{34}, E_{34}) → e_{33}, F_{33}, edgeBF_{33}, edgeCG_{33}, edgeDH_{33}, edgeEF_{33}, edgeFG_{33}, edgeGH_{33}, edgeEH_{33}, G_{33}, H_{33}, faceABFE_{33}, faceBCGF_{33}, faceCDHG_{33}, faceADHE_{33}, faceEFGH_{33}, edgeAE_{33}
  70. Polygon(A_{34}, B_{35}, C_{35}, D_{35}) → poly1_{35}, a_{35}, b_{35}, c_{35}, d_{35}
  71. Prism(poly1_{35}, E_{35}) → e_{34}, F_{34}, edgeBF_{34}, edgeCG_{34}, edgeDH_{34}, edgeEF_{34}, edgeFG_{34}, edgeGH_{34}, edgeEH_{34}, G_{34}, H_{34}, faceABFE_{34}, faceBCGF_{34}, faceCDHG_{34}, faceADHE_{34}, faceEFGH_{34}, edgeAE_{34}
  72. Polygon(A_{35}, B_{36}, C_{36}, D_{36}) → poly1_{36}, a_{36}, b_{36}, c_{36}, d_{36}
  73. Prism(poly1_{36}, E_{36}) → e_{35}, F_{35}, edgeBF_{35}, edgeCG_{35}, edgeDH_{35}, edgeEF_{35}, edgeFG_{35}, edgeGH_{35}, edgeEH_{35}, G_{35}, H_{35}, faceABFE_{35}, faceBCGF_{35}, faceCDHG_{35}, faceADHE_{35}, faceEFGH_{35}, edgeAE_{35}
  74. Polygon(A_{36}, B_{37}, C_{37}, D_{37}) → poly1_{37}, a_{37}, b_{37}, c_{37}, d_{37}
  75. Prism(poly1_{37}, E_{37}) → e_{36}, F_{36}, edgeBF_{36}, edgeCG_{36}, edgeDH_{36}, edgeEF_{36}, edgeFG_{36}, edgeGH_{36}, edgeEH_{36}, G_{36}, H_{36}, faceABFE_{36}, faceBCGF_{36}, faceCDHG_{36}, faceADHE_{36}, faceEFGH_{36}, edgeAE_{36}
  76. Polygon(A_{37}, B_{39}, C_{39}, D_{39}) → poly1_{39}, a_{39}, b_{39}, c_{39}, d_{39}
  77. Prism(poly1_{39}, E_{39}) → e_{37}, F_{37}, edgeBF_{37}, edgeCG_{37}, edgeDH_{37}, edgeEF_{37}, edgeFG_{37}, edgeGH_{37}, edgeEH_{37}, G_{37}, H_{37}, faceABFE_{37}, faceBCGF_{37}, faceCDHG_{37}, faceADHE_{37}, faceEFGH_{37}, edgeAE_{37}
  78. Polygon(A_{38}, B_{40}, C_{40}, D_{40}) → poly1_{40}, a_{40}, b_{40}, c_{40}, d_{40}
  79. Prism(poly1_{40}, E_{40}) → e_{38}, F_{38}, edgeBF_{38}, edgeCG_{38}, edgeDH_{38}, edgeEF_{38}, edgeFG_{38}, edgeGH_{38}, edgeEH_{38}, G_{38}, H_{38}, faceABFE_{38}, faceBCGF_{38}, faceCDHG_{38}, faceADHE_{38}, faceEFGH_{38}, edgeAE_{38}
  80. Polygon(A_{39}, B_{41}, C_{41}, D_{41}) → poly1_{41}, a_{41}, b_{41}, c_{41}, d_{41}
  81. Prism(poly1_{41}, E_{41}) → e_{39}, F_{39}, edgeBF_{39}, edgeCG_{39}, edgeDH_{39}, edgeEF_{39}, edgeFG_{39}, edgeGH_{39}, edgeEH_{39}, G_{39}, H_{39}, faceABFE_{39}, faceBCGF_{39}, faceCDHG_{39}, faceADHE_{39}, faceEFGH_{39}, edgeAE_{39}
  82. Polygon(A_{40}, B_{42}, C_{42}, D_{42}) → poly1_{42}, a_{42}, b_{42}, c_{42}, d_{42}
  83. Prism(poly1_{42}, E_{42}) → e_{40}, F_{40}, edgeBF_{40}, edgeCG_{40}, edgeDH_{40}, edgeEF_{40}, edgeFG_{40}, edgeGH_{40}, edgeEH_{40}, G_{40}, H_{40}, faceABFE_{40}, faceBCGF_{40}, faceCDHG_{40}, faceADHE_{40}, faceEFGH_{40}, edgeAE_{40}
  84. Polygon(A_{41}, B_{43}, C_{43}, D_{43}) → poly1_{43}, a_{43}, b_{43}, c_{43}, d_{43}
  85. Prism(poly1_{43}, E_{43}) → e_{41}, F_{41}, edgeBF_{41}, edgeCG_{41}, edgeDH_{41}, edgeEF_{41}, edgeFG_{41}, edgeGH_{41}, edgeEH_{41}, G_{41}, H_{41}, faceABFE_{41}, faceBCGF_{41}, faceCDHG_{41}, faceADHE_{41}, faceEFGH_{41}, edgeAE_{41}
  86. Polygon(A_{42}, B_{44}, C_{44}, D_{44}) → poly1_{44}, a_{44}, b_{44}, c_{44}, d_{44}
  87. Prism(poly1_{44}, E_{44}) → e_{42}, F_{42}, edgeBF_{42}, edgeCG_{42}, edgeDH_{42}, edgeEF_{42}, edgeFG_{42}, edgeGH_{42}, edgeEH_{42}, G_{42}, H_{42}, faceABFE_{42}, faceBCGF_{42}, faceCDHG_{42}, faceADHE_{42}, faceEFGH_{42}, edgeAE_{42}
  88. Polygon(A_{43}, B_{45}, C_{45}, D_{45}) → poly1_{45}, a_{45}, b_{45}, c_{45}, d_{45}
  89. Prism(poly1_{45}, E_{45}) → e_{43}, F_{43}, edgeBF_{43}, edgeCG_{43}, edgeDH_{43}, edgeEF_{43}, edgeFG_{43}, edgeGH_{43}, edgeEH_{43}, G_{43}, H_{43}, faceABFE_{43}, faceBCGF_{43}, faceCDHG_{43}, faceADHE_{43}, faceEFGH_{43}, edgeAE_{43}
  90. Polygon(A_{44}, B_{46}, C_{46}, D_{46}) → poly1_{46}, a_{46}, b_{46}, c_{46}, d_{46}
  91. Prism(poly1_{46}, E_{46}) → e_{44}, F_{44}, edgeBF_{44}, edgeCG_{44}, edgeDH_{44}, edgeEF_{44}, edgeFG_{44}, edgeGH_{44}, edgeEH_{44}, G_{44}, H_{44}, faceABFE_{44}, faceBCGF_{44}, faceCDHG_{44}, faceADHE_{44}, faceEFGH_{44}, edgeAE_{44}
  92. Polygon(E_{47}, B_{47}, C_{47}, D_{47}) → poly1_{47}, a_{47}, b_{47}, c_{47}, d_{47}
  93. Polygon(A_{45}, B_{48}, C_{48}, D_{48}) → poly1_{48}, a_{48}, b_{48}, c_{48}, d_{48}
  94. Prism(poly1_{48}, E_{48}) → e_{45}, F_{45}, edgeBF_{45}, edgeCG_{45}, edgeDH_{45}, edgeEF_{45}, edgeFG_{45}, edgeGH_{45}, edgeEH_{45}, G_{45}, H_{45}, faceABFE_{45}, faceBCGF_{45}, faceCDHG_{45}, faceADHE_{45}, faceEFGH_{45}, edgeAE_{45}
  95. Polygon(A_{46}, B_{49}, C_{49}, D_{49}) → poly1_{49}, a_{49}, b_{49}, c_{49}, d_{49}
  96. Prism(poly1_{49}, E_{49}) → e_{46}, F_{46}, edgeBF_{46}, edgeCG_{46}, edgeDH_{46}, edgeEF_{46}, edgeFG_{46}, edgeGH_{46}, edgeEH_{46}, G_{46}, H_{46}, faceABFE_{46}, faceBCGF_{46}, faceCDHG_{46}, faceADHE_{46}, faceEFGH_{46}, edgeAE_{46}
  97. Polygon(A_{47}, B_{50}, C_{50}, D_{50}) → poly1_{50}, a_{50}, b_{50}, c_{50}, d_{50}
  98. Prism(poly1_{50}, E_{50}) → e_{47}, F_{47}, edgeBF_{47}, edgeCG_{47}, edgeDH_{47}, edgeEF_{47}, edgeFG_{47}, edgeGH_{47}, edgeEH_{47}, G_{47}, H_{47}, faceABFE_{47}, faceBCGF_{47}, faceCDHG_{47}, faceADHE_{47}, faceEFGH_{47}, edgeAE_{47}
  99. Polygon(A_{48}, B_{51}, C_{51}, D_{51}) → poly1_{51}, a_{51}, b_{51}, c_{51}, d_{51}
  100. Prism(poly1_{51}, E_{51}) → e_{48}, F_{48}, edgeBF_{48}, edgeCG_{48}, edgeDH_{48}, edgeEF_{48}, edgeFG_{48}, edgeGH_{48}, edgeEH_{48}, G_{48}, H_{48}, faceABFE_{48}, faceBCGF_{48}, faceCDHG_{48}, faceADHE_{48}, faceEFGH_{48}, edgeAE_{48}
  101. Polygon(A_{49}, B_{52}, C_{52}, D_{52}) → poly1_{52}, a_{52}, b_{52}, c_{52}, d_{52}
  102. Prism(poly1_{52}, E_{52}) → e_{49}, F_{49}, edgeBF_{49}, edgeCG_{49}, edgeDH_{49}, edgeEF_{49}, edgeFG_{49}, edgeGH_{49}, edgeEH_{49}, G_{49}, H_{49}, faceABFE_{49}, faceBCGF_{49}, faceCDHG_{49}, faceADHE_{49}, faceEFGH_{49}, edgeAE_{49}
  103. Polygon(A_{50}, B_{53}, C_{53}, D_{53}) → poly1_{53}, a_{53}, b_{53}, c_{53}, d_{53}
  104. Prism(poly1_{53}, E_{53}) → e_{50}, F_{50}, edgeBF_{50}, edgeCG_{50}, edgeDH_{50}, edgeEF_{50}, edgeFG_{50}, edgeGH_{50}, edgeEH_{50}, G_{50}, H_{50}, faceABFE_{50}, faceBCGF_{50}, faceCDHG_{50}, faceADHE_{50}, faceEFGH_{50}, edgeAE_{50}
  105. Polygon(A_{51}, B_{54}, C_{54}, D_{54}) → poly1_{54}, a_{54}, b_{54}, c_{54}, d_{54}
  106. Prism(poly1_{54}, E_{54}) → e_{51}, F_{51}, edgeBF_{51}, edgeCG_{51}, edgeDH_{51}, edgeEF_{51}, edgeFG_{51}, edgeGH_{51}, edgeEH_{51}, G_{51}, H_{51}, faceABFE_{51}, faceBCGF_{51}, faceCDHG_{51}, faceADHE_{51}, faceEFGH_{51}, edgeAE_{51}
  107. Polygon(A_{52}, B_{55}, C_{55}, D_{55}) → poly1_{55}, a_{55}, b_{55}, c_{55}, d_{55}
  108. Prism(poly1_{55}, E_{55}) → e_{52}, F_{52}, edgeBF_{52}, edgeCG_{52}, edgeDH_{52}, edgeEF_{52}, edgeFG_{52}, edgeGH_{52}, edgeEH_{52}, G_{52}, H_{52}, faceABFE_{52}, faceBCGF_{52}, faceCDHG_{52}, faceADHE_{52}, faceEFGH_{52}, edgeAE_{52}
  109. Polygon(A_{53}, B_{56}, C_{56}, D_{56}) → poly1_{56}, a_{56}, b_{56}, c_{56}, d_{56}
  110. Prism(poly1_{56}, E_{56}) → e_{53}, F_{53}, edgeBF_{53}, edgeCG_{53}, edgeDH_{53}, edgeEF_{53}, edgeFG_{53}, edgeGH_{53}, edgeEH_{53}, G_{53}, H_{53}, faceABFE_{53}, faceBCGF_{53}, faceCDHG_{53}, faceADHE_{53}, faceEFGH_{53}, edgeAE_{53}
  111. Polygon(A_{54}, B_{57}, C_{57}, D_{57}) → poly1_{57}, a_{57}, b_{57}, c_{57}, d_{57}
  112. Prism(poly1_{57}, E_{57}) → e_{54}, F_{54}, edgeBF_{54}, edgeCG_{54}, edgeDH_{54}, edgeEF_{54}, edgeFG_{54}, edgeGH_{54}, edgeEH_{54}, G_{54}, H_{54}, faceABFE_{54}, faceBCGF_{54}, faceCDHG_{54}, faceADHE_{54}, faceEFGH_{54}, edgeAE_{54}
  113. Polygon(A_{55}, B_{58}, C_{58}, D_{58}) → poly1_{58}, a_{58}, b_{58}, c_{58}, d_{58}
  114. Prism(poly1_{58}, E_{58}) → e_{55}, F_{55}, edgeBF_{55}, edgeCG_{55}, edgeDH_{55}, edgeEF_{55}, edgeFG_{55}, edgeGH_{55}, edgeEH_{55}, G_{55}, H_{55}, faceABFE_{55}, faceBCGF_{55}, faceCDHG_{55}, faceADHE_{55}, faceEFGH_{55}, edgeAE_{55}
  115. Polygon(A_{56}, B_{59}, C_{59}, D_{59}) → poly1_{59}, a_{59}, b_{59}, c_{59}, d_{59}
  116. Prism(poly1_{59}, E_{59}) → e_{56}, F_{56}, edgeBF_{56}, edgeCG_{56}, edgeDH_{56}, edgeEF_{56}, edgeFG_{56}, edgeGH_{56}, edgeEH_{56}, G_{56}, H_{56}, faceABFE_{56}, faceBCGF_{56}, faceCDHG_{56}, faceADHE_{56}, faceEFGH_{56}, edgeAE_{56}
  117. Polygon(E_{60}, B_{60}, C_{60}, D_{60}) → poly1_{60}, a_{60}, b_{60}, c_{60}, d_{60}
  118. Polygon(A_{57}, B_{61}, C_{61}, D_{61}) → poly1_{61}, a_{61}, b_{61}, c_{61}, d_{61}
  119. Prism(poly1_{61}, E_{61}) → e_{57}, F_{57}, edgeBF_{57}, edgeCG_{57}, edgeDH_{57}, edgeEF_{57}, edgeFG_{57}, edgeGH_{57}, edgeEH_{57}, G_{57}, H_{57}, faceABFE_{57}, faceBCGF_{57}, faceCDHG_{57}, faceADHE_{57}, faceEFGH_{57}, edgeAE_{57}
  120. Polygon(A_{58}, B_{62}, C_{62}, D_{62}) → poly1_{62}, a_{62}, b_{62}, c_{62}, d_{62}
  121. Prism(poly1_{62}, E_{62}) → e_{58}, F_{58}, edgeBF_{58}, edgeCG_{58}, edgeDH_{58}, edgeEF_{58}, edgeFG_{58}, edgeGH_{58}, edgeEH_{58}, G_{58}, H_{58}, faceABFE_{58}, faceBCGF_{58}, faceCDHG_{58}, faceADHE_{58}, faceEFGH_{58}, edgeAE_{58}
  122. Polygon(A_{59}, B_{63}, C_{63}, D_{63}) → poly1_{63}, a_{63}, b_{63}, c_{63}, d_{63}
  123. Prism(poly1_{63}, E_{63}) → e_{59}, F_{59}, edgeBF_{59}, edgeCG_{59}, edgeDH_{59}, edgeEF_{59}, edgeFG_{59}, edgeGH_{59}, edgeEH_{59}, G_{59}, H_{59}, faceABFE_{59}, faceBCGF_{59}, faceCDHG_{59}, faceADHE_{59}, faceEFGH_{59}, edgeAE_{59}
  124. Polygon(A_{60}, B_{64}, C_{64}, D_{64}) → poly1_{64}, a_{64}, b_{64}, c_{64}, d_{64}
  125. Prism(poly1_{64}, E_{64}) → e_{60}, F_{60}, edgeBF_{60}, edgeCG_{60}, edgeDH_{60}, edgeEF_{60}, edgeFG_{60}, edgeGH_{60}, edgeEH_{60}, G_{60}, H_{60}, faceABFE_{60}, faceBCGF_{60}, faceCDHG_{60}, faceADHE_{60}, faceEFGH_{60}, edgeAE_{60}
  126. Polygon(A_{61}, B_{65}, C_{65}, D_{65}) → poly1_{65}, a_{65}, b_{65}, c_{65}, d_{65}
  127. Prism(poly1_{65}, E_{65}) → e_{61}, F_{61}, edgeBF_{61}, edgeCG_{61}, edgeDH_{61}, edgeEF_{61}, edgeFG_{61}, edgeGH_{61}, edgeEH_{61}, G_{61}, H_{61}, faceABFE_{61}, faceBCGF_{61}, faceCDHG_{61}, faceADHE_{61}, faceEFGH_{61}, edgeAE_{61}
  128. Polygon(A_{62}, B_{66}, C_{66}, D_{66}) → poly1_{66}, a_{66}, b_{66}, c_{66}, d_{66}
  129. Prism(poly1_{66}, E_{66}) → e_{62}, F_{62}, edgeBF_{62}, edgeCG_{62}, edgeDH_{62}, edgeEF_{62}, edgeFG_{62}, edgeGH_{62}, edgeEH_{62}, G_{62}, H_{62}, faceABFE_{62}, faceBCGF_{62}, faceCDHG_{62}, faceADHE_{62}, faceEFGH_{62}, edgeAE_{62}
  130. Polygon(A_{63}, B_{67}, C_{67}, D_{67}) → poly1_{67}, a_{67}, b_{67}, c_{67}, d_{67}
  131. Prism(poly1_{67}, E_{67}) → e_{63}, F_{63}, edgeBF_{63}, edgeCG_{63}, edgeDH_{63}, edgeEF_{63}, edgeFG_{63}, edgeGH_{63}, edgeEH_{63}, G_{63}, H_{63}, faceABFE_{63}, faceBCGF_{63}, faceCDHG_{63}, faceADHE_{63}, faceEFGH_{63}, edgeAE_{63}
  132. Polygon(A_{64}, B_{68}, C_{68}, D_{68}) → poly1_{68}, a_{68}, b_{68}, c_{68}, d_{68}
  133. Prism(poly1_{68}, E_{68}) → e_{64}, F_{64}, edgeBF_{64}, edgeCG_{64}, edgeDH_{64}, edgeEF_{64}, edgeFG_{64}, edgeGH_{64}, edgeEH_{64}, G_{64}, H_{64}, faceABFE_{64}, faceBCGF_{64}, faceCDHG_{64}, faceADHE_{64}, faceEFGH_{64}, edgeAE_{64}
  134. Polygon(E_{69}, B_{69}, C_{69}, D_{69}) → poly1_{69}, a_{69}, b_{69}, c_{69}, d_{69}
  135. Point(Circle[J, 3]) → K
  136. Polygon(J, K, M, L, P, N) → poly2, j, k, m, l, p, n

AI 绘图提示语参考

绘制多个直棱柱,每个棱柱底面由四点A、B、C、D构成,顶面由点E构成。首先绘制底面多边形,然后以底面和顶点E为参数绘制直棱柱,重复此步骤多次,形成多个直棱柱。注意观察棱柱的底面和侧面。
以上提示语为根据原始绘图命令整理而来,仅供参考。