立方体展开图

立方体展开图
几何画板及绘图内容加载中,请稍等……
2022-11-04 15:12
①本范例演示立方体的展开图及其空间还原;②涉及核心数学概念:立体几何、多边形、空间想象;③构造要点:运用了Sequence, Element, Textfield, Prism, Net, CornerThreeD等GeoGebra命令与对象进行动态展示与交互;④适合小学高年级或初中低年级学生,用于几何直观与空间几何能力培养。

GeoGebra 命令及参数

  1. Sequence(Random[1, 10], i, 1, 10) → randomNumbers, {9, 1, 1, 6, 9, 6, 3, 7, 10, 4}
  2. Element(randomNumbers, Mod[questionCount, Length[randomNumbers]] + 1) → randomNumber
  3. Textfield(input) → inputBox
  4. Prism(quaderA, quaderB, quaderC, quaderD, quaderE) → quader, quaderF, KantequaderAquaderB, KantequaderBquaderC, KantequaderCquaderD, KantequaderAquaderD, KantequaderAquaderE, KantequaderBquaderF, KantequaderCquaderG, KantequaderDquaderH, KantequaderEquaderF, KantequaderFquaderG, quaderG, KantequaderGquaderH, KantequaderEquaderH, quaderH, FlächequaderAquaderBquaderCquaderD, FlächequaderAquaderBquaderFquaderE, FlächequaderBquaderCquaderGquaderF, FlächequaderCquaderDquaderHquaderG, FlächequaderDquaderAquaderEquaderH, FlächequaderEquaderFquaderGquaderH
  5. Net(quader, sliderNetz) → quaderNetz, A, J, K, L, M, N, FlächeABCD, FlächeABFE, FlächeBCHG, FlächeCDJI, FlächeADKL, B, FlächeEFMN, KanteAB, KanteBC, KanteCD, KanteAD, KanteAE, KanteEF, KanteBF, KanteBG, KanteGH, C, KanteCH, KanteCI, KanteIJ, KanteDJ, KanteDK, KanteKL, KanteAL, KanteFM, KanteMN, KanteEN, D, E, F, G, H, I
  6. CornerThreeD(-1, 11) → viewActual

AI 绘图提示语参考

请绘制一个立方体的展开图,展示六个正方形如何拼接成一个平面图形。图形中应包含六个正方形,以及连接它们的边线。确保图形清晰,便于理解立方体的结构。
以上提示语为根据原始绘图命令整理而来,仅供参考。