Rioja创新系统标志
几何画板及绘图内容加载中,请稍等……
这个GeoGebra范例展示了Rioja创新系统标志的几何构造。涉及的核心数学概念包括向量、相似变换和多边形。通过使用LineBisector、Vector、Polygon等GeoGebra命令,可以构造出标志的各个部分。适合用于高中几何教学,帮助学生理解几何作图和变换的概念。
GeoGebra 命令及参数
LineBisector(A, B) → mVector(A, B) → uOrthogonalVector(u) → vMidpoint(A_1, A) → JOrthogonalLine(J, m) → iOrthogonalLine(K, i) → lOrthogonalLine(F, l) → nIntersect(m, n) → HLine(A, B) → sOrthogonalLine(A, s) → bOrthogonalLine(G, l) → pIntersect(l, n) → QLine(D, b) → fIntersect(f, i) → H_1OrthogonalLine(B, u, xOyPlane) → gMirror(J, m) → J'OrthogonalLine(R, s) → j_4OrthogonalLine(L, i) → tOrthogonalLine(A_1, b) → rIntersect(g, r) → CPolygon(A_1, C, B, A) → q1, a_1, c, b_1, a_2Intersect(j_4, i) → PMidpoint(P, R) → SMirror(H_1, i) → Z_1OrthogonalLine(V_1, s) → hOrthogonalLine(E, i) → jOrthogonalLine(I, i) → kOrthogonalLine(N, i) → qOrthogonalLine(O, n) → aOrthogonalLine(T, s) → dOrthogonalLine(M, n) → eOrthogonalLine(U, i) → f_1OrthogonalLine(V, i) → g_1OrthogonalLine(W, n) → h_1Intersect(e, r) → ZIntersect(f_1, r) → B_1Polygon(Z, B_1, 4) → poly1, i_1, j_1, k_1, l_1, C_1, D_1Mirror(poly1, r) → poly1'Line(E_1, r) → m_1Line(F_1, r) → n_1Line(G_1, r) → p_1Line(I_1, r) → q_1Line(J_1, r) → r_1Line(K_1, r) → s_1Line(K_1, m_1) → t_1Line(K_1, m_1) → c_1OrthogonalLine(L_1, i) → d_1Intersect(l, s_1) → M_1Intersect(j_4, s_1) → N_1Polygon(M_1, N_1, R, Q) → q2, e_1, f_2, r_2, q_2Intersect(t, r_1) → O_1Intersect(f, r_1) → P_1Polygon(O_1, P_1, D, L) → q3, o_1, g_2, d_2, l_2Intersect(h, q_1) → Q_1Intersect(j, q_1) → R_1Polygon(Q_1, R_1, E, V_1) → q4, h_2, i_2, j_2, k_2Intersect(k, p_1) → S_1Intersect(q, p_1) → T_1Polygon(S_1, T_1, N, I) → q5, m_2, n_2, p_2, s_2Intersect(a, n_1) → U_1Intersect(d, n_1) → W_1Polygon(U_1, W_1, T, O) → q6, t_2, b_2, c_2, e_2Intersect(e, m_1) → A_2Intersect(m_1, f_1) → B_2Intersect(g_1, m_1) → C_2Intersect(h_1, m_1) → D_2Polygon(A_2, B_2, U, M) → q7, f_3, g_3, h_3, i_3Polygon(C_2, D_2, W, V) → q8, j_3, k_3, l_3, m_3Intersect(d_1, m_1) → E_2Intersect(h_1, r_1) → G_2Intersect(d_1, q_1) → F_2CurveCartesian(((1 - t)^(3) * H_2) + (((3 * (1 - t)^(2)) * t) * G_2) + (((3 * (1 - t)) * t^(2)) * K_2) + (t^(3) * F_2), t, 0, 1) → u_1Intersect(h_1, n_1) → L_2CurveCartesian(((1 - t)^(3) * G_2) + (((3 * (1 - t)^(2)) * t) * L_2) + (((3 * (1 - t)) * t^(2)) * I_2) + (t^(3) * E_2), t, 0, 1) → wPolygon(G_2, H_2, J_2, E_2) → q9, n_3, p_3, q_3, r_3LineBisector(U, V) → s_3Mirror(m, s_3) → m'Line(M_2, i) → a_3Mirror(a_3, i) → t_3Intersect(m', a_3) → N_2Intersect(m, a_3) → O_2Intersect(m, t_3) → P_2Intersect(m', t_3) → Q_2Intersect(s_3, a_3) → R_2Intersect(s_3, t_3) → T_2OrthogonalLine(S_2, a_3) → b_3Intersect(b_3, t_3) → U_2Polygon(S_2, R_2, T_2, U_2) → q10, c_3, d_3, e_3, u_2Mirror(S_2, s_3) → V_2Mirror(R_2, s_3) → W_2Mirror(T_2, s_3) → Z_2Mirror(U_2, s_3) → A_3Polygon(V_2, W_2, Z_2, A_3) → q10', v_2, w_2, z_2, f_4Mirror(V_2, f_4) → B_3Intersect(m, i) → C_3OrthogonalLine(D_3, m') → g_4Intersect(m', g_4) → E_3Intersect(m', i) → F_3Polygon(E_3, D_3, C_3, F_3) → q11, h_4, i_4, k_4, l_4Mirror(E_3, i) → G_3Mirror(D_3, i) → H_3Mirror(C_3, i) → I_3Mirror(F_3, i) → J_3Polygon(G_3, H_3, I_3, J_3) → q11', m_4, n_4, p_4, q_4
AI 绘图提示语参考
绘制Rioja创新系统标志,首先通过点A和B画一条线的中垂线m,然后画向量u,接着画u的正交向量v,找到点J并画过J的m的正交线i,以此类推,逐步构造标志的各个部分,最终形成一个由多个正交线和中垂线构成的多边形。
以上提示语为根据原始绘图命令整理而来,仅供参考。