MATTHEW 数列金字塔2
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所属专题
Pyramid Puzzles
①本范例演示了一个复杂的几何金字塔结构,通过多边形和点的构造展现其形态;②涉及的核心数学概念包括有理数、单位圆、多项式函数、棱柱和算术运算;③作图要点——从下方『构造摘要』提炼用到了Polygon(多边形)、Midpoint(中点)、Intersect(交点)、Point(点)等GeoGebra命令;④适合高中及以上数学学习者,用于理解几何作图和函数图像的关联。
GeoGebra 命令及参数
Polygon(A, B, 4) → poly1, f, g, h, i, C, DPolygon(C, B, 4) → poly2, j, k, l, m, E, FPolygon(F, E, 4) → poly3, n, p, q, r, G, HPolygon(H, G, 4) → poly4, s, t, a, b, I, JMidpoint(D, C) → KMidpoint(C, F) → LPolygon(K, L, 4) → poly5, c, d, e, f_1, O, PPolygon(O, L, 4) → poly6, g_1, h_1, i_1, j_1, M, QPolygon(Q, M, 4) → poly7, k_1, l_1, m_1, n_1, N, RMidpoint(P, O) → SMidpoint(Q, R) → TMidpoint(O, Q) → UPolygon(S, U, 4) → poly8, p_1, q_1, r_1, s_1, V, WPolygon(U, T, 4) → poly9, t_1, a_1, b_1, c_1, Z, A_1Midpoint(W, V) → B_1Midpoint(V, Z) → C_1Polygon(B_1, C_1, 4) → poly10, d_1, e_1, f_2, g_2, D_1, E_1Polygon(F_1, G_1, H_1, I_1) → q1, h_2, i_2, j_2, k_2Intersect(h_2, i_2) → J_1Polygon(J_1, K_1, L_1, M_1) → q2, l_2, m_2, n_2, p_2Point(l_2) → N_1Polygon(N_1, O_1, P_1) → t1, q_2, r_2, s_2Point(n_2) → Q_1Polygon(Q_1, R_1, S_1) → t2, t_2, c_2, d_2Point(k_2) → T_1Polygon(T_1, U_1, V_1) → t3, e_2, f_3, g_3Point(k_2) → W_1Polygon(W_1, Z_1, A_2) → t4, h_3, i_3, z_1Point(m_2) → B_2Polygon(B_2, C_2, D_2) → t5, j_3, k_3, l_3Point(m_2) → E_2Polygon(E_2, F_2, G_2) → t6, m_3, n_3, p_3
AI 绘图提示语参考
绘制一个复杂的几何金字塔结构,包含多个四边形和中点。首先绘制底面多边形,然后依次向上构建每个金字塔层,每个层由四个中点和一个四边形组成。最后,通过交点连接各层,形成金字塔的立体结构。
以上提示语为根据原始绘图命令整理而来,仅供参考。