立方体展开图动画
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①本范例演示立方体展开图的动态变化过程;②涉及核心数学概念包括立体几何、多边形、空间想象;③作图要点运用了Point, Cube, Net等GeoGebra命令与对象,构建立方体及其展开图;④适合高中阶段学生或用于立体几何教学演示。
GeoGebra 命令及参数
Point(Circle[B, Distance[A, B], Segment[A, B]]) → CCube(A, B, C) → kotak, D, faceCDHG, faceEFGH, AD, AB, BC, CD, AE, DH, EH, EF, E, BF, FG, CG, GH, F, G, H, faceABCD, faceADHE, faceABFE, faceBCGFNet(kotak, k, faceABCD, BC, AE, EF, EH, CD, CG, FG) → JAR11, I, R, S, T, U, V, face1, face2, face3, face4, face5, J, face6, edge1, edge2, edge3, edge4, edge5, edge6, edge7, edge8, edge9, K, edge10, edge11, edge12, edge13, edge14, edge15, edge16, edge17, edge18, edge19, L, M, N, O, P, QNet(kotak, k, faceABCD, AB, AE, EF, CD, DH, GH, FG) → JAR1, W, H_1, I_1, J_1, K_1, L_1, face7, face8, face10, face9, face11, Z, face12, edge20, edgeWZ, edge22, edge25, edge28, edge29, edge21, edge23, edge24, A_1, edge36, edge34, edge33, edge26, edge35, edge37, edge27, edge31, edge32, edge30, B_1, C_1, D_1, E_1, F_1, G_1Net(kotak, k, faceABCD, AB, AE, EF, CG, DH, GH, FG) → JAR2, M_1, V_1, W_1, Z_1, A_2, B_2, face13, face14, face16, face15, face17, N_1, face18, edge39, edge38, edge41, edge44, edge47, edge49, edge40, edge42, edge43, O_1, edge55, edge54, edge53, edge45, edge46, edge56, edge48, edge51, edge52, edge50, P_1, Q_1, R_1, S_1, T_1, U_1Net(kotak, k, faceABCD, AB, AE, EF, CG, CD, GH, FG) → JAR3, C_2, L_2, M_2, N_2, O_2, P_2, face19, face20, face22, face21, face23, D_2, face24, edge58, edge57, edge60, edge63, edge65, edge67, edge59, edge61, edge62, E_2, edge75, edge74, edge73, edge64, edge66, edge71, edge69, edge70, edge72, edge68, F_2, G_2, H_2, I_2, J_2, K_2Net(kotak, k, faceABCD, AB, AE, EF, CG, CD, DH, FG) → JAR4, Q_2, B_3, C_3, D_3, E_3, F_3, face25, face26, face28, face27, face30, R_2, face29, edge77, edge76, edge79, edge82, edge84, edge85, edge78, edge80, edge81, S_2, edge94, edge93, edge92, edge83, edge87, edge88, edge91, edge90, edge89, edge86, T_2, U_2, V_2, W_2, Z_2, A_3Net(kotak, k, faceABCD, BF, AE, EF, CG, GH, DH, FG) → JAR5, G_3, P_3, Q_3, R_3, S_3, T_3, face31, face33, face32, face34, face35, H_3, face36, edge96, edge95, edge99, edge102, edge105, edge107, edge97, edge98, edge111, I_3, edge100, edge101, edge112, edge103, edge104, edge113, edge106, edge109, edge110, edge108, J_3, K_3, L_3, M_3, N_3, O_3Net(kotak, k, faceABCD, BF, AE, EF, CG, GH, CD, FG) → JAR6, U_3, F_4, G_4, H_4, I_4, J_4, face37, face39, face38, face40, face41, V_3, face42, edge115, edge114, edge118, edge121, edge123, edge125, edge116, edge117, edge131, W_3, edge119, edge120, edge132, edge122, edge124, edge129, edge127, edge128, edge130, edge126, Z_3, A_4, B_4, C_4, D_4, E_4Net(kotak, k, faceABCD, BC, AE, EF, CG, GH, CD, FG) → JAR8, K_4, T_4, U_4, V_4, W_4, Z_4, face43, face45, face44, face46, face47, L_4, face48, edge134, edge133, edge137, edge140, edge141, edge143, edge135, edge136, edge149, M_4, edge138, edge150, edge151, edge139, edge142, edge147, edge145, edge146, edge148, edge144, N_4, O_4, P_4, Q_4, R_4, S_4Net(kotak, k, faceABCD, BC, AE, EF, CG, GH, DH, FG) → JAR7, A_5, J_5, K_5, L_5, M_5, N_5, face49, face51, face50, face52, face53, B_5, face54, edge153, edge152, edge156, edge159, edge161, edge163, edge154, edge155, edge167, C_5, edge157, edge168, edge169, edge158, edge160, edge170, edge162, edge165, edge166, edge164, D_5, E_5, F_5, G_5, H_5, I_5Net(kotak, k, faceABCD, BC, AE, EF, CG, CD, DH, FG) → JAR9, O_5, Z_5, A_6, B_6, C_6, D_6, face55, face57, face56, face58, face60, P_5, face59, edge172, edge171, edge175, edge178, edge179, edge180, edge173, edge174, edge187, Q_5, edge176, edge188, edge189, edge177, edge182, edge183, edge186, edge185, edge184, edge181, R_5, S_5, T_5, U_5, V_5, W_5Net(kotak, k, faceABCD, BC, AE, EF, GH, CD, DH, FG) → JAR10, E_6, N_6, O_6, P_6, Q_6, R_6, face61, face63, face62, face64, face66, F_6, face65, edge191, edge190, edge194, edge197, edge198, edge199, edge192, edge193, edge203, G_6, edge195, edge204, edge205, edge196, edge207, edge208, edge206, edge201, edge202, edge200, H_6, I_6, J_6, K_6, L_6, M_6
AI 绘图提示语参考
绘制一个立方体的展开图动画,展示其动态变化过程。首先创建一个立方体,然后生成多个不同的展开图,每个展开图都包含六个正方形面,通过旋转和移动展示立方体如何展开和折叠。动画应清晰展示展开图与立方体之间的对应关系,适合用于几何教学演示三维物体与二维展开图的关系。
以上提示语为根据原始绘图命令整理而来,仅供参考。