用粉红色四边形绘制小丑脸
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所属专题
Elementary Geometry
①本范例通过粉红色四边形演示如何绘制小丑脸;②涉及的核心数学概念包括多边形、几何变换和对称性;③作图要点:使用了Line、OrthogonalLine、Point、Intersect、Polygon、Circle、LineBisector、Mirror、Ellipse等GeoGebra命令和对象;④适合初中及以上学生学习和理解几何作图与变换。
GeoGebra 命令及参数
Line(D, E) → aOrthogonalLine(D, a) → bOrthogonalLine(E, a) → dPoint(d) → FOrthogonalLine(F, d) → eIntersect(b, e) → GPolygon(E, F, G, D) → poly1, e_1, f, g, d_1Polygon(H, I, 4) → poly2, h, i, j, k, J, KCircle(T, U) → c_1Circle(V, U) → f_1Intersect(c_1, f_1, 2) → WPolygon(T, U, V, W) → poly5, t_1, u, v, wCircle(Z, A_1) → g_1Circle(A_1, Z) → h_1Point(h_1) → B_1Circle(B_1, A_1) → k_1Intersect(g_1, k_1, 2) → C_1Polygon(Z, C_1, B_1, A_1) → poly6, z, c_2, b_1, a_1LineBisector(S, R) → rMirror(D_1, r) → E_1Polygon(R, S, E_1, D_1) → poly4, r_1, s, e_2, d_2Line(F_1, G_1) → qLine(H_1, q) → tLine(F_1, H_1) → i_1Line(G_1, i_1) → j_1Intersect(t, j_1) → I_1Polygon(F_1, G_1, I_1, H_1) → poly7, f_2, g_2, i_2, h_2Polygon(J_1, P, Q, K_1) → poly8, j_2, p_1, q_1, k_2Line(D_2, E_2) → a_2OrthogonalLine(D_2, a_2) → b_2OrthogonalLine(E_2, a_2) → d_4Point(d_4) → F_2OrthogonalLine(F_2, d_4) → e_4Intersect(b_2, e_4) → G_2Polygon(E_2, F_2, G_2, D_2) → poly1_1, e_3, f_3, g_3, d_3Circle(Z_1, A_2) → g_4Circle(A_2, Z_1) → h_3Point(h_3) → B_2Circle(B_2, A_2) → k_3Intersect(g_4, k_3, 2) → C_2Polygon(Z_1, C_2, B_2, A_2) → poly6_1, z_1, c_3, b_3, a_3Polygon(H_2, I_2, 4) → poly2_1, h_4, i_3, j_3, k_4, J_2, K_2LineBisector(S_1, R_1) → r_3Mirror(D_3, r_3) → E_3Polygon(R_1, S_1, E_3, D_3) → poly4_1, r_2, s_1, e_5, d_5Line(F_3, G_3) → q_2Line(H_3, q_2) → t_2Line(F_3, H_3) → i_5Line(G_3, i_5) → j_4Intersect(t_2, j_4) → I_3Polygon(F_3, G_3, I_3, H_3) → poly7_1, f_4, g_5, i_4, h_5Circle(T_1, U_1) → c_4Circle(V_1, U_1) → f_5Intersect(c_4, f_5, 2) → W_1Polygon(T_1, U_1, V_1, W_1) → poly5_1, t_3, u_1, v_1, w_1Polygon(J_3, P_1, Q_1, K_3) → poly8_1, j_5, p_2, q_3, k_5Ellipse(A, B, C) → c
AI 绘图提示语参考
画一个滑稽的面具,使用粉红色的四边形构成脸型,包含对称的几何形状和变换,先画出基础的四边形和线条,再添加圆形和椭圆作为装饰,最后通过镜像和反射完成对称设计。
以上提示语为根据原始绘图命令整理而来,仅供参考。