可打印谜题
几何画板及绘图内容加载中,请稍等……
所属专题
Developing games and puzzles with 3D printing for STEAM
Developing fun games and puzzles with 3D printing for STEAM
①本范例通过交互式图形演示几何图形的构造与变换;②涉及核心数学概念包括条形图、随机变量、众数、三角形、微分方程;③作图要点:使用 Point, Segment, Circle, OrthogonalLine, Intersect, Polygon, Midpoint 等命令及对象;④适合高中及以上数学学习者和教师用于教学演示与几何作图练习。
GeoGebra 命令及参数
Point(Circle[A, r]) → BSegment(A, B) → fCircle(A, r) → cCircle(A, (2 * r)) → dCircle(A, (3 * r)) → eOrthogonalLine(A, f) → gIntersect(c, g, 2) → CIntersect(d, g, 2) → DIntersect(e, g, 2) → EOrthogonalLine(C, g) → hOrthogonalLine(D, g) → iOrthogonalLine(E, g) → jCircle(C, r) → kCircle(C, (2 * r)) → pIntersect(k, h, 2) → FIntersect(k, h, 1) → IIntersect(p, h, 1) → JOrthogonalLine(F, h) → lOrthogonalLine(I, h) → mOrthogonalLine(J, h) → nIntersect(n, i) → GIntersect(j, m) → HIntersect(i, m) → KIntersect(i, l) → LPolygon(A, C, I, B, F, L, D, E, H, K, G, J) → poly1, a, j_1, i_1, b, c_1, f_1, l_1, d_1, e_1, h_1, k_1, g_1Segment(C, G) → qOrthogonalLine(C, q) → sIntersect(s, l_1) → MIntersect(s, f) → NPolygon(M, C, G, K, H, E, D) → poly2, m_1, c_2, g_2, k_2, h_2, e_2, d_2Polygon(N, C, G, J, I, B) → poly3, n_1, c_3, g_3, j_2, i_2, b_1Polygon(C, A, N) → poly4, n_2, c_4, a_1Polygon(L, F, C, M) → poly5, l_2, f_2, c_5, m_2Point(Circle[P, q]) → QSegment(P, Q) → tOrthogonalLine(P, t) → p_1Circle(P, m_1) → q_1Intersect(q_1, p_1, 2) → RSegment(R, P) → r_1Segment(R, Q) → s_1OrthogonalLine(P, s_1) → t_1Intersect(t_1, s_1) → SCircle(S, r) → p_2Intersect(p_2, s_1, 1) → TPolygon(S, T, 4) → poly6, q_2, r_2, s_2, t_2, U, VPolygon(P, R, S, V, U, T, Q) → poly7, p_3, r_3, s_3, v, u, t_3, q_3Circle(W, c_3) → d_3Point(d_3) → ZSegment(W, Z) → a_2OrthogonalLine(W, a_2) → b_2Circle(W, n_1) → e_3Intersect(e_3, b_2, 1) → A_1Segment(W, A_1) → f_3Midpoint(a_2) → B_1Circle(B_1, W) → h_3Circle(W, (2 * r)) → k_3Intersect(h_3, k_3, 1) → C_1Midpoint(W, C_1) → D_1Segment(W, C_1) → i_3OrthogonalLine(D_1, i_3) → j_3Circle(D_1, r) → d_4Intersect(d_4, j_3, 1) → E_1Polygon(W, Z, C_1, D_1, E_1, A_1) → poly8, w, z_1, c_6, d_5, e_4, a_3Point(Circle[F_1, r]) → G_1Segment(F_1, G_1) → l_3OrthogonalLine(G_1, l_3) → m_3Circle(G_1, r) → f_4Intersect(f_4, m_3, 2) → H_1Segment(L, M) → n_3OrthogonalLine(F_1, l_3) → b_3Circle(F_1, n_3) → g_4Intersect(g_4, b_3, 2) → I_1Segment(I_1, H_1) → h_4Polygon(I_1, F_1, G_1, H_1) → poly9, i_4, f_5, g_5, h_5Point(Circle[J_1, r]) → K_1Segment(J_1, K_1) → j_4OrthogonalLine(K_1, j_4) → k_4Segment(A, N) → l_4Circle(K_1, Segment[A, N]) → p_4Intersect(p_4, k_4, 2) → L_1Polygon(J_1, L_1, K_1) → poly10, k_5, j_5, l_5Point(Circle[M_1, c_3]) → N_1Segment(M_1, N_1) → m_4Polygon(M_1, N_1, 4) → poly11, n_4, q_4, r_4, s_4, O_1, P_1
AI 绘图提示语参考
画一个由多个圆和三角形构成的复杂几何图形,中心有一个圆,周围有三个同心圆,通过正交线和交点连接形成多个三角形和四边形,展示几何构造和变换,包含随机生成的点和线段,适合教学演示。
以上提示语为根据原始绘图命令整理而来,仅供参考。