积极 AI Logo 积极 AI

复合棱柱的三视图绘制

复合棱柱的三视图绘制
几何画板及绘图内容加载中，请稍等……
2018-04-19 22:26
立体几何几何作图函数图像
所属专题 Cuboids & their Nets
①本范例演示如何绘制复合棱柱的三视图；②涉及核心数学概念包括棱柱、三视图、几何作图；③构造中使用了点、线段、多边形等基本元素，以及取点、构造线等操作；④适合初中及以上学生学习立体几何和几何作图。

GeoGebra 命令及参数

  1. Point(yAxis) → D_1
  2. Segment(Element[ClickedPoints, 1], Element[ClickedPoints, 2]) → L1
  3. Segment(Element[ClickedPoints, 3], Element[ClickedPoints, 4]) → L2
  4. Segment(Element[ClickedPoints, 5], Element[ClickedPoints, 6]) → L3
  5. Segment(Element[ClickedPoints, 7], Element[ClickedPoints, 8]) → L4
  6. Segment(Element[ClickedPoints, 9], Element[ClickedPoints, 10]) → L5
  7. Segment(Element[ClickedPoints, 11], Element[ClickedPoints, 12]) → L6
  8. Segment(Element[ClickedPoints, 13], Element[ClickedPoints, 14]) → L7
  9. Segment(Element[ClickedPoints, 15], Element[ClickedPoints, 16]) → L8
  10. Segment(Element[ClickedPoints, 17], Element[ClickedPoints, 18]) → L9
  11. Segment(Element[ClickedPoints, 19], Element[ClickedPoints, 20]) → L10
  12. Take(ClickedPoints, 1, NumClicks) → ShortPointList
  13. Take(LineList, 1, NumLines) → ShortLineList
  14. Segment(Element[ClickedPoints, 21], Element[ClickedPoints, 22]) → L11
  15. Segment(Element[ClickedPoints, 23], Element[ClickedPoints, 24]) → L12
  16. Segment(Element[ClickedPoints, 25], Element[ClickedPoints, 26]) → L13
  17. Segment(Element[ClickedPoints, 27], Element[ClickedPoints, 28]) → L14
  18. Segment(Element[ClickedPoints, 29], Element[ClickedPoints, 30]) → L15
  19. Segment(Element[ClickedPoints, 31], Element[ClickedPoints, 32]) → L16
  20. Segment(Element[ClickedPoints, 33], Element[ClickedPoints, 34]) → L17
  21. Segment(Element[ClickedPoints, 35], Element[ClickedPoints, 36]) → L18
  22. Segment(Element[ClickedPoints, 37], Element[ClickedPoints, 38]) → L19
  23. Segment(Element[ClickedPoints, 39], Element[ClickedPoints, 40]) → L20
  24. Polygon((-0.5, 5.5), (4.5, 5.5), (4.5, -0.5), (-0.5, -0.5)) → PaperOutline, f, g, h, i
  25. Segment(Q35, Q43) → P1line4
  26. Segment(Q43, Q38) → P1line5
  27. Segment(Q38, Q30) → P1line6
  28. Segment(Q30, Q35) → P1line7
  29. Segment(Q35, Q21) → P1line8
  30. Segment(Q21, Q29) → P1line9
  31. Segment(Q29, Q43) → P1line10
  32. Segment(Q30, Q23) → P1line11
  33. Segment(Q21, Q7) → P1line12
  34. Segment(Q7, Q14) → P1line13
  35. Segment(Q14, Q23) → P1line1
  36. Segment(Q14, Q22) → P1line2
  37. Segment(Q22, Q27) → P1line3
  38. Polygon(Q14, Q7, Q21, Q35, Q30, Q23) → P1Top, q14, q7, q21, q35, q30, q23
  39. Polygon(Q35, Q21, Q29, Q43) → P1Side, q35_1, q21_1, q29, q43
  40. Polygon(Q30, Q35, Q43, Q38) → P1Front1, q30_1, q35_2, q43_1, q38
  41. Polygon(Q14, Q23, Q27, Q22) → P1Front2, q14_1, q23_1, q27, q22
  42. Segment(A7, A10) → P1front1
  43. Segment(A10, A15) → P1front2
  44. Segment(A15, A12) → P1front3
  45. Segment(A12, A7) → P1front4
  46. Segment(A9, A14) → P1front5
  47. Polygon(A9, A10, A15, A14) → P1Front1A, a9, a10, a15, a14
  48. Polygon(A7, A9, A14, A12) → P1Front2A, a7, a9_1, a14_1, a12
  49. Segment(A21, A25) → P1top1
  50. Segment(A25, A10) → P1top2
  51. Segment(A10, A8) → P1top3
  52. Segment(A8, A18) → P1top4
  53. Segment(A18, A16) → P1top5
  54. Segment(A16, A21) → P1top6
  55. Polygon(A16, A18, A8, A10, A25, A21) → P1TopA, a16, a18, a8, a10_1, a25, a21
  56. Segment(A11, A15) → P1side1
  57. Segment(A15, A10) → P1side2
  58. Segment(A10, A6) → P1side3
  59. Segment(A6, A11) → P1side4
  60. Polygon(A6, A10, A15, A11) → P1SideA, a6, a10_2, a15_1, a11
  61. Segment(Q44, Q33) → P2line2
  62. Segment(Q33, Q17) → P2line3
  63. Segment(Q44, Q30) → P2line6
  64. Segment(Q44, Q36) → P2line7
  65. Segment(Q36, Q32) → P2line8
  66. Segment(Q32, Q24) → P2line4
  67. Segment(Q24, Q17) → P2line5
  68. Segment(Q36, Q22) → P2line9
  69. Segment(Q22, Q30) → P2line10
  70. Segment(Q22, Q19) → P2line11
  71. Segment(Q19, Q11) → P2line12
  72. Segment(Q11, Q24) → P2line13
  73. Segment(Q19, Q32) → P2line14
  74. Segment(Q11, Q3) → P2line15
  75. Segment(Q3, Q17) → P2line1
  76. Polygon(Q11, Q3, Q17, Q24) → P2Top1, q11, q3, q17, q24
  77. Polygon(Q19, Q22, Q36, Q32) → P2Top2, q19, q22_1, q36, q32
  78. Polygon(Q22, Q30, Q44, Q36) → P2Front1, q22_2, q30_2, q44, q36_1
  79. Polygon(Q11, Q19, Q32, Q24) → P2Front2, q11_1, q19_1, q32_1, q24_1
  80. Polygon(Q44, Q36, Q32, Q24, Q17, Q33) → P2Side, q44_1, q36_2, q32_2, q24_2, q17_1, q33
  81. Segment(A17, A20) → P2side1
  82. Segment(A20, A10) → P2side2
  83. Segment(A10, A8) → P2side3
  84. Segment(A8, A13) → P2side4
  85. Segment(A13, A12) → P2side5
  86. Segment(A12, A17) → P2side6
  87. Polygon(A12, A13, A8, A10, A20, A17) → P2SideA, a12_1, a13, a8_1, a10_3, a20, a17
  88. Segment(A7, A10) → P2top1
  89. Segment(A10, A20) → P2top2
  90. Segment(A20, A17) → P2top3
  91. Segment(A17, A7) → P2top4
  92. Segment(A17, A22) → P2top5
  93. Segment(A22, A25) → P2top6
  94. Segment(A25, A20) → P2top7
  95. Polygon(A7, A10, A20, A17) → P2Top1A, a7_1, a10_4, a20_1, a17_1
  96. Polygon(A22, A25, A20, A17) → P2Top2A, a22, a25_1, a20_2, a17_2
  97. Segment(A17, A20) → P2front1
  98. Segment(A20, A10) → P2front2
  99. Segment(A10, A7) → P2front3
  100. Segment(A7, A17) → P2front4
  101. Segment(A12, A15) → P2front5
  102. Polygon(A12, A15, A20, A17) → P2Front1A, a12_2, a15_2, a20_3, a17_3
  103. Polygon(A7, A10, A15, A12) → P2Front2A, a7_2, a10_5, a15_3, a12_3
  104. Segment(Q26, Q30) → P3line4
  105. Segment(Q30, Q38) → P3line5
  106. Segment(Q38, Q34) → P3line6
  107. Segment(Q34, Q26) → P3line7
  108. Segment(Q30, Q16) → P3line8
  109. Segment(Q16, Q12) → P3line9
  110. Segment(Q12, Q26) → P3line10
  111. Segment(Q28, Q38) → P3line11
  112. Segment(Q28, Q44) → P3line12
  113. Segment(Q44, Q39) → P3line13
  114. Segment(Q39, Q31) → P3line2
  115. Segment(Q16, Q40) → P3line3
  116. Segment(Q40, Q44) → P3line1
  117. Polygon(Q26, Q30, Q16, Q12) → P3Top, q26, q30_3, q16, q12
  118. Polygon(Q30, Q16, Q40, Q44, Q28, Q38) → P3Side, q30_4, q16_1, q40, q44_2, q28, q38_1
  119. Polygon(Q26, Q30, Q38, Q34) → P3Front1, q26_1, q30_5, q38_2, q34
  120. Polygon(Q31, Q28, Q44, Q39) → P3Front2, q31, q28_1, q44_3, q39
  121. Segment(A6, A10) → P3side1
  122. Segment(A10, A25) → P3side2
  123. Segment(A25, A24) → P3side3
  124. Segment(A24, A14) → P3side4
  125. Segment(A14, A11) → P3side5
  126. Segment(A11, A6) → P3side6
  127. Polygon(A6, A10, A25, A24, A14, A11) → P3SideA, a6_1, a10_6, a25_2, a24, a14_2, a11_1
  128. Segment(A6, A10) → P3top1
  129. Segment(A10, A15) → P3top2
  130. Segment(A15, A11) → P3top3
  131. Segment(A11, A6) → P3top4
  132. Polygon(A6, A10, A15, A11) → P3TopA, a6_2, a10_7, a15_4, a11_2
  133. Segment(A7, A22) → P3front1
  134. Segment(A22, A23) → P3front2
  135. Segment(A23, A8) → P3front3
  136. Segment(A8, A7) → P3front4
  137. Segment(A12, A13) → P3front5
  138. Polygon(A7, A8, A13, A12) → P3Front1A, a7_3, a8_2, a13_1, a12_4
  139. Polygon(A12, A13, A23, A22) → P3Front2A, a12_5, a13_2, a23, a22_1
  140. Segment(Q25, Q29) → P4line9
  141. Segment(Q37, Q33) → P4line10
  142. Segment(Q33, Q25) → P4line11
  143. Segment(Q29, Q32) → P4line12
  144. Segment(Q32, Q40) → P4line13
  145. Segment(Q37, Q40) → P4line14
  146. Segment(Q40, Q31) → P4line15
  147. Segment(Q31, Q35) → P4line16
  148. Segment(Q35, Q26) → P4line17
  149. Segment(Q23, Q32) → P4line1
  150. Segment(Q23, Q31) → P4line2
  151. Segment(Q23, Q27) → P4line3
  152. Segment(Q27, Q18) → P4line4
  153. Segment(Q18, Q26) → P4line5
  154. Segment(Q27, Q35) → P4line6
  155. Segment(Q25, Q7) → P4line7
  156. Segment(Q7, Q18) → P4line8
  157. Polygon(Q18, Q7, Q25, Q32, Q23, Q27) → P4Top, q18, q7_1, q25, q32_3, q23_2, q27_1
  158. Polygon(Q18, Q27, Q35, Q26) → P4Front1, q18_1, q27_2, q35_3, q26_2
  159. Polygon(Q23, Q32, Q40, Q31) → P4Front2, q23_3, q32_4, q40_1, q31_1
  160. Polygon(Q32, Q25, Q33, Q40) → P4Side1, q32_5, q25_1, q33_1, q40_2
  161. Polygon(Q27, Q23, Q31, Q35) → P4Side2, q27_3, q23_4, q31_2, q35_4
  162. Segment(A6, A10) → P4top1
  163. Segment(A10, A20) → P4top2
  164. Segment(A20, A18) → P4top3
  165. Segment(A18, A23) → P4top4
  166. Segment(A23, A21) → P4top5
  167. Segment(A21, A6) → P4top6
  168. Polygon(A6, A10, A20, A18, A23, A21) → P4TopA, a6_3, a10_8, a20_4, a18_1, a23_1, a21_1
  169. Segment(A6, A11) → P4front1
  170. Segment(A11, A15) → P4front2
  171. Segment(A15, A10) → P4front3
  172. Segment(A10, A6) → P4front4
  173. Segment(A8, A13) → P4front5
  174. Polygon(A8, A13, A11, A6) → P4Front1A, a8_3, a13_3, a11_3, a6_4
  175. Polygon(A8, A13, A15, A10) → P4Front2A, a8_4, a13_4, a15_5, a10_9
  176. Segment(A7, A12) → P4side1
  177. Segment(A12, A15) → P4side2
  178. Segment(A15, A10) → P4side3
  179. Segment(A10, A7) → P4side4
  180. Segment(A8, A13) → P4side5
  181. Polygon(A8, A13, A15, A10) → P4Side1A, a8_5, a13_5, a15_6, a10_{10}
  182. Polygon(A8, A13, A12, A7) → P4Side2A, a8_6, a13_6, a12_6, a7_4
  183. Segment(Q33, Q44) → P5line8
  184. Segment(Q36, Q25) → P5line13
  185. Segment(Q25, Q33) → P5line14
  186. Segment(Q36, Q44) → P5line15
  187. Segment(Q25, Q21) → P5line16
  188. Segment(Q21, Q13) → P5line17
  189. Segment(Q21, Q28) → P5line18
  190. Segment(Q20, Q13) → P5line3
  191. Segment(Q13, Q3) → P5line4
  192. Segment(Q3, Q11) → P5line5
  193. Segment(Q11, Q19) → P5line6
  194. Segment(Q19, Q22) → P5line7
  195. Segment(Q22, Q30) → P5line9
  196. Segment(Q11, Q20) → P5line10
  197. Segment(Q20, Q28) → P5line11
  198. Segment(Q28, Q19) → P5line12
  199. Segment(Q22, Q36) → P5line1
  200. Segment(Q44, Q30) → P5line2
  201. Polygon(Q11, Q3, Q13, Q20) → P5Top1, q11_2, q3_1, q13, q20
  202. Polygon(Q19, Q22, Q36, Q25, Q21, Q28) → P5Top2, q19_2, q22_3, q36_3, q25_2, q21_2, q28_2
  203. Polygon(Q22, Q36, Q44, Q30) → P5Front1, q22_4, q36_4, q44_4, q30_6
  204. Polygon(Q11, Q20, Q28, Q19) → P5Front2, q11_3, q20_1, q28_3, q19_3
  205. Polygon(Q20, Q13, Q21, Q28) → P5Side2, q20_2, q13_1, q21_3, q28_4
  206. Polygon(Q36, Q25, Q33, Q44) → P5Side1, q36_5, q25_3, q33_2, q44_5
  207. Segment(A12, A15) → P5front1
  208. Segment(A15, A20) → P5front2
  209. Segment(A20, A17) → P5front3
  210. Segment(A17, A12) → P5front4
  211. Segment(A12, A7) → P5front5
  212. Segment(A7, A9) → P5front6
  213. Segment(A9, A14) → P5front7
  214. Polygon(A12, A15, A20, A17) → P5Front1A, a12_7, a15_7, a20_5, a17_4
  215. Polygon(A12, A14, A9, A7) → P5Front2A, a12_8, a14_3, a9_2, a7_5
  216. Segment(A12, A15) → P5side1
  217. Segment(A15, A20) → P5side2
  218. Segment(A20, A17) → P5side3
  219. Segment(A17, A12) → P5side4
  220. Segment(A13, A8) → P5side5
  221. Segment(A8, A10) → P5side6
  222. Segment(A10, A15) → P5side7
  223. Polygon(A12, A15, A20, A17) → P5Side1A, a12_9, a15_8, a20_6, a17_5
  224. Polygon(A13, A15, A10, A8) → P5Side2A, a13_7, a15_9, a10_{11}, a8_7
  225. Segment(A7, A10) → P5top1
  226. Segment(A10, A25) → P5top2
  227. Segment(A25, A22) → P5top3
  228. Segment(A22, A7) → P5top4
  229. Segment(A9, A19) → P5top5
  230. Segment(A19, A17) → P5top6
  231. Polygon(A7, A9, A19, A17) → P5Top1A, a7_6, a9_3, a19, a17_6
  232. Polygon(A9, A10, A25, A22, A17, A19) → P5Top2A, a9_4, a10_{12}, a25_3, a22_2, a17_7, a19_1