COSMOS挑战-建筑模型
几何画板及绘图内容加载中,请稍等……
该范例通过几何作图展示了建筑模型的构建过程。涉及的核心数学概念包括向量、多边形和立体几何。通过使用Intersect、Polygon、Midpoint、Segment等GeoGebra命令,可以构建出建筑物的框架和细节。适合高中或大学阶段的学生和教师使用。
GeoGebra 命令及参数
Intersect(xAxis, yAxis) → APolygon(A, B, 4) → poly_{frame}, f_2, g_2, h_2, i_2, C, DMidpoint(A, B) → EMidpoint(B, C) → FMidpoint(C, D) → GMidpoint(D, A) → HMidpoint(A, E) → IMidpoint(E, B) → JMidpoint(B, F) → KMidpoint(F, C) → LMidpoint(C, G) → MMidpoint(G, D) → NMidpoint(D, H) → OMidpoint(H, A) → PSegment(N, I) → j_2Segment(G, E) → k_2Segment(M, J) → l_1Segment(O, L) → m_1Segment(H, F) → n_1Segment(P, K) → p_1Polygon(Q, R, 4) → poly1, q, r, s, t, S, TVector(D, N) → uVector(D, O) → vTranslate(poly1, u) → poly2Translate(poly2, u) → poly3Translate(poly3, u) → poly4Translate(poly1, v) → poly5Translate(poly5, v) → poly9Translate(poly9, v) → poly13Translate(poly2, v) → poly6Translate(poly6, v) → poly10Translate(poly10, v) → poly14Translate(poly3, v) → poly7Translate(poly7, v) → poly11Translate(poly11, v) → poly15Translate(poly4, v) → poly8Translate(poly8, v) → poly12Translate(poly12, v) → poly16Prism(poly1, (0.6 * a_1)) → a, U, edgeQU, edgeRV, edgeSW, edgeTZ, edgeUV, edgeVW, edgeWZ, edgeUZ, V, W, Z, face1_a, face3_a, face4_a, face2_a, face5_aSegment(G, E) → e_1Segment(N, I) → f_1Segment(M, J) → g_1Segment(O, L) → h_1Segment(H, F) → i_1Segment(P, K) → j_1Prism(poly2, (0.6 * a_2)) → b, A_1, edge1, edge2, edge3, edge4, edge5, edge7, edge8, edge6, B_1, C_1, D_1, face1_b, face3_b, face4_b, face2_b, face5_bPrism(poly3, (0.6 * a_3)) → c, E_1, edge9, edge10, edge11, edge12, edge13, edge15, edge16, edge14, F_1, G_1, H_1, face1_c, face3_c, face4_c, face2_c, face5_cPrism(poly4, (0.6 * a_4)) → d, K_1, edge17, edge18, edge19, edge20, edge21, edge23, edge24, edge22, L_1, M_1, N_{17}, face1_d, face2_d, face4_d, face3_d, face5_dTranslate(N_5, u) → N_6Translate(N_6, u) → N_7Translate(N_7, u) → N_8Translate(N_1, v') → N_2Translate(N_2, v') → N_3Translate(N_3, v') → N_4Translate(N_9, v) → N_{10}Translate(N_{10}, v) → N_{11}Translate(N_{16}, u) → N_{15}Translate(N_{15}, u) → N_{14}Translate(N_{14}, u) → N_{13}Translate(N_{11}, v) → N_{12}Line(O_1, h_1) → k_1Prism(poly5, (0.6 * a_5)) → e, P_1, edge25, edge26, edge27, edge28, edge29, edge31, edge32, edge30, Q_1, R_1, S_1, face4_e, face2_e, face3_e, face1_e, face5_ePrism(poly6, (0.6 * a_6)) → f, T_1, edge33, edge34, edge35, edge36, edge37, edge39, edge40, edge38, U_1, V_1, W_1, face4_f, face2_f, face3_f, face1_f, face5_fPrism(poly7, (0.6 * a_7)) → g, Z_1, edge41, edge42, edge43, edge44, edge45, edge47, edge48, edge46, A_2, B_2, C_2, face1_g, face3_g, face4_g, face2_g, face5_gPrism(poly9, (0.6 * a_9)) → i, D_2, edge49, edge50, edge51, edge52, edge53, edge55, edge56, edge54, E_2, F_2, G_2, face1_i, face3_i, face4_i, face2_i, face5_iPrism(poly8, (0.6 * a_8)) → h, H_2, edge57, edge58, edge59, edge60, edge61, edge63, edge64, edge62, I_2, J_2, K_2, face1_h, face3_h, face4_h, face2_h, face5_hPrism(poly10, (0.6 * a_{10})) → j, L_2, edge65, edge66, edge67, edge68, edge69, edge71, edge72, edge70, M_2, O_2, P_2, face1_j, face3, face4, face2_j, face5_jPrism(poly11, (0.6 * a_{11})) → k, Q_2, edge73, edge74, edge75, edge76, edge77, edge79, edge80, edge78, R_2, S_2, T_2, face4_k, face2_k, face3_k, face1_k, face5_kPrism(poly12, (0.6 * a_{12})) → l, U_2, edge81, edge82, edge83, edge84, edge85, edge87, edge88, edge86, V_2, W_2, Z_2, face1, face1_l, face2_l, face2, face5_lPrism(poly13, (0.6 * a_{13})) → m, A_3, edge89, edge90, edge91, edge92, edge93, edge95, edge96, edge94, B_3, C_3, D_3, face2_m, face3_m, face4_m, face1_m, face5_mPrism(poly14, (0.6 * a_{14})) → n, E_3, edge97, edge98, edge99, edge100, edge101, edge103, edge104, edge102, F_3, G_3, H_3, face1_n, face3_n, face4_n, face2_n, face5_nPrism(poly15, (0.6 * a_{15})) → o, I_3, edge105, edge106, edge107, edge108, edge109, edge111, edge112, edge110, J_3, K_3, L_3, face4_o, face2_o, face3_o, face1_o, face5_oPrism(poly16, (0.6 * a_{16})) → p, M_3, edge113, edge114, edge115, edge116, edge117, edge119, edge120, edge118, O_3, P_3, Q_3, face1_p, face3_p, face4_p, face2_p, face5_pPolygon(A, B, 4) → poly17, q_1, r_1, s_1, t_1, R_3, S_3Polygon(A_4, V_3, W_3, Z_3) → q1, a_{17}, v_3, w_3, z_3Polygon(B_4, A_4, V_3, C_4) → q2, b_4, a_{18}, v_1, c_4Polygon(B_4, D_4, Z_3, A_4) → q3, b_1, d_4, z_1, a_{19}Polygon(A_4, V_3, W_3, Z_3) → q4, c_1, d_1, l_2, m_2
AI 绘图提示语参考
绘制一个建筑物模型,包含四个矩形框架,每个框架通过中点连接形成一个四边形,然后将这些框架通过向量平移生成多个平行的矩形框架,最后使用这些矩形框架构建棱柱,形成建筑物的立体结构。
以上提示语为根据原始绘图命令整理而来,仅供参考。