Logo Manga 1
几何画板及绘图内容加载中,请稍等……
该范例演示了一个Logo Manga 1的图形。涉及的核心数学概念包括向量、椭圆和函数图像。通过使用GeoGebra命令如Vector、Ellipse、Function Graph等进行构造。适合用于高中数学教学,特别是解析几何和函数图像的教学。
GeoGebra 命令及参数
Vector(A, B) → uOrthogonalVector(u) → vLineBisector(A_1, A) → lLine(A, B) → sOrthogonalLine(D, s) → iOrthogonalLine(A, s) → bOrthogonalLine(F, b) → fMirror(f, l) → f'Intersect(i, f') → EMirror(f, l) → f'_1LineBisector(A, B) → mOrthogonalLine(B, u, xOyPlane) → gMirror(i, m) → i'Intersect(m, f) → GIntersect(i', f') → POrthogonalLine(A_1, b) → rIntersect(m, l) → KIntersect(i, l) → JIntersect(g, r) → CMirror(F, l) → F'Polygon(A_1, C, B, A) → c4, a_1, c_3, b_2, a_2Mirror(E, l) → E'OrthogonalLine(H, b) → jLineBisector(F, H) → r_2Circle(N, O) → cLine(E, B) → hCircumcircleArc(R, M, Q) → dLine(R, h) → kIntersect(c, k) → S, TSegment(R, S) → pLine(Z, l) → tLine(W, l) → aIntersect(c, t) → B_1, C_1Intersect(c, a) → D_1, E_1Line(F_1, l) → eCircle(G_1, H_1) → c_1OrthogonalLine(R, t) → f_1Intersect(a, f_1) → I_1Intersect(e, f_1) → J_1Semicircle(J_1, I_1) → d_1Polygon(J_1, I_1, W, F_1) → q1, j_1, i_1, w, g_1Semicircle(J_1, I_1) → h_1Polygon(B_1, C_1, E_1, D_1) → q2, b_1, k_1, l_1, m_1CircumcircleArc(N_1, M_1, L_1) → p_1CircumcircleArc(P_1, O_1, N_1) → q_1Segment(L_1, K_1) → n_1Segment(P_1, Q_1) → r_1LineBisector(K_1, Q_1) → s_1Intersect(s_1, h) → V_1CircleArc(V_1, K_1, Q_1) → t_1LineBisector(Q_1, G) → f_2Intersect(f_2, m) → W_1CircleArc(W_1, Q_1, G) → c_2CircleArc(K, T_1, R_1) → d_2LineBisector(U_1, S_1) → g_2Intersect(g_2, e) → Z_1CircleArc(Z_1, U_1, S_1) → h_2Mirror(O, N) → O'Segment(O', R_1) → i_2Segment(A_2, B_2) → j_2Mirror(D_2, m) → E_2Ellipse(E_2, D_2, C_2) → k_2CircumcircleArc(Q, V, U) → qLine(U, k) → nIntersect(c, n) → L_2, M_2Segment(U, L_2) → l_2Mirror(d_1, m) → p_2Mirror(h_1, m) → q_2Mirror(J_1, m) → N_2Mirror(I_1, m) → O_2Mirror(W, m) → W'Mirror(F_1, m) → P_2Polygon(N_2, O_2, W', P_2) → q1', n_2, o_2, w', m_2Mirror(d_1, m) → s_2Mirror(Q, m) → Q'Mirror(V, m) → V'Mirror(U, m) → U'CircumcircleArc(Q', V', U') → q'Mirror(R, m) → R'Mirror(M, m) → M'Mirror(Q, m) → Q'_{1}CircumcircleArc(R', M', Q'_{1}) → d'Mirror(R, m) → R'_{1}Mirror(S, m) → S'Segment(R'_{1}, S') → p'Mirror(U, m) → U'_{1}Mirror(L_2, m) → R_2Segment(U'_{1}, R_2) → t_2Mirror(c_1, m) → d_3Mirror(c_2, m) → e_3Mirror(d_2, m) → f_3Mirror(t_1, s_1) → g_3Mirror(P_1, m) → S_2Mirror(O_1, m) → T_2Mirror(N_1, m) → U_2CircumcircleArc(S_2, T_2, U_2) → h_3Mirror(N_1, m) → V_2Mirror(M_1, m) → W_2Mirror(L_1, m) → Z_2CircumcircleArc(V_2, W_2, Z_2) → k_3Mirror(g_3, m) → p_3Mirror(L_1, m) → A_3Mirror(K_1, m) → B_3Segment(A_3, B_3) → i_3Mirror(P_1, m) → C_3Mirror(Q_1, m) → D_3Segment(C_3, D_3) → j_3Mirror(A_2, m) → E_3Mirror(B_2, m) → F_3Segment(E_3, F_3) → l_3Mirror(h_2, m) → q_3Segment(J_2, K_2) → m_3Segment(G_3, H_3) → n_3LineBisector(I_3, Q_2) → r_3Intersect(r_3, o_2) → J_3Intersect(o_2, q1') → K_3, L_3CircleArc(L_3, Q_2, I_3) → s_3LineBisector(F_2, G_2) → t_3Intersect(t_3, o_2) → M_3CircleArc(M_3, G_2, F_2) → c_4LineBisector(H_2, I_2) → b_3Intersect(b_3, o_2) → N_3CircleArc(N_3, I_2, H_2) → d_4CircleArc(N, C_1, B_1) → e_4
AI 绘图提示语参考
画一个包含向量、椭圆和函数图像的Logo Manga 1图形,首先绘制两个正交向量,然后利用这些向量生成椭圆和直线,接着通过镜像和交点操作构建复杂的几何形状,最后添加函数图像和圆弧,完成一个结合了坐标几何和函数图形的高中数学教育示例。
以上提示语为根据原始绘图命令整理而来,仅供参考。