Yoshimoto Cube Net (制作8个)
几何画板及绘图内容加载中,请稍等……
①本范例演示如何通过展开图制作8个Yoshimoto Cube;②涉及的核心数学概念包括立体几何、多边形构造、几何作图;③作图要点:使用Segment、Point、Line、Circle、Intersect、OrthogonalLine等GeoGebra命令进行点线圆的交点和垂线构造;④适合高中立体几何教学或几何作图练习。
GeoGebra 命令及参数
Segment(B, C) → aSegment(C, D) → bSegment(D, E) → cPoint(a) → FSegment(E, F) → dSegment(B, G) → ePoint(b) → HSegment(G, H) → fLine(I, xAxis) → gPoint(g) → JCircle(F, Segment[I, C]) → hPoint(yAxis) → KSegment(K, L) → iPoint(yAxis) → MSegment(M, N) → jIntersect(h, j, 1) → OIntersect(h, i, 1) → PCircle(B, Radius[h]) → kCircle(E, Radius[k]) → pIntersect(p, i, 2) → QOrthogonalLine(I, g) → lIntersect(k, l, 2) → RSegment(O, B) → mSegment(O, F) → nSegment(F, P) → qSegment(P, C) → rSegment(C, I) → sSegment(I, H) → tSegment(H, J) → a_1Segment(J, D) → b_1Segment(D, Q) → c_1Segment(Q, E) → d_1Segment(B, R) → e_1Segment(R, G) → f_1Intersect(d, f) → SLine(L, c_1) → g_1Line(L, d_1) → h_1Line(N, f) → i_1Line(M, m) → j_1Line(M, n) → k_1Line(T, e_1) → l_1Line(T, f_1) → m_1Line(U, q) → n_1Line(U, r) → p_1Point(xAxis) → WPoint(xAxis) → ZLine(V, d) → q_1Line(Z, b_1) → r_1Line(Z, a_1) → s_1Line(W, t) → t_1Line(W, s) → a_2Point(l_1) → A_1Segment(B, A_1) → b_2Point(l_1) → B_1Segment(R, B_1) → c_2Segment(A_1, B_1) → d_2Point(m_1) → C_1Segment(R, C_1) → e_2Point(m_1) → D_1Segment(G, D_1) → f_2Segment(C_1, D_1) → g_2Intersect(h_1, i_1) → E_1Segment(G, E_1) → h_2Point(i_1) → F_1Segment(S, F_1) → i_2Point(q_1) → G_1Segment(S, G_1) → j_2Segment(F_1, E_1) → k_2Intersect(m_1, q_1) → H_1Segment(E, H_1) → l_2Segment(G_1, H_1) → m_2Point(h_1) → I_1Segment(E, I_1) → n_2Point(h_1) → J_1Segment(Q, J_1) → p_2Segment(I_1, J_1) → q_2Point(g_1) → K_1Segment(D, K_1) → r_2Point(g_1) → L_1Segment(Q, L_1) → s_2Segment(K_1, L_1) → t_2Point(r_1) → M_1Segment(D, M_1) → a_3Point(r_1) → N_1Segment(J, N_1) → b_3Segment(N_1, M_1) → c_3Intersect(s_1, t_1) → O_1Segment(H, O_1) → d_3Intersect(p_1, t_1) → P_1Point(s_1) → Q_1Segment(J, Q_1) → f_3Segment(Q_1, O_1) → g_3Segment(O_1, P_1) → h_3Point(a_2) → R_1Segment(I, R_1) → i_3Point(a_2) → S_1Segment(R_1, S_1) → j_3Segment(S_1, C) → k_3Point(p_1) → T_1Segment(C, T_1) → l_3Point(p_1) → U_1Segment(T_1, U_1) → m_3Segment(U_1, P) → n_3Point(n_1) → V_1Segment(P, V_1) → p_3Intersect(k_1, n_1) → W_1Segment(V_1, W_1) → q_3Segment(W_1, F) → r_3Point(k_1) → Z_1Segment(W_1, Z_1) → s_3Segment(Z_1, O) → t_3Point(j_1) → A_2Segment(O, A_2) → a_4Point(j_1) → B_2Segment(A_2, B_2) → b_4Segment(B_2, B) → c_4Intersect(s, t) → C_2Point(h_3) → D_2Segment(C_2, D_2) → e_3Intersect(d_3, g_3) → E_2Segment(D_2, E_2) → d_4
AI 绘图提示语参考
绘制一个由六个正方形组成的展开图,这些正方形通过边相连形成网状结构,模拟一个立方体的展开。首先画出两条平行线段作为基准,然后在这两条线段上分别绘制四个正方形,接着连接这些正方形的边,形成网状结构,最后调整角度和位置,使其看起来像一个立方体的展开图。
以上提示语为根据原始绘图命令整理而来,仅供参考。