火车过桥加法演示
几何画板及绘图内容加载中,请稍等……
①本范例通过动态演示火车驶过桥梁的过程,直观展示加法运算在几何情境中的应用;②涉及核心数学概念包括加法运算、几何图形构建、坐标几何;③构造过程中运用了Random(随机)、Segment(线段)、Polygon(多边形)、If(条件判断)、Point(点)、Intersect(交点)、Midpoint(中点)等GeoGebra命令与对象;④适合小学低年级学生,用于理解加法运算和几何图形的初步结合。
GeoGebra 命令及参数
Random(6, 20) → aaSegment(B, H) → r_5Polygon(S_4, T_4, U_4, V_4) → poly25, s_6, t_6, u_4, v_4Polygon(W_4, Z_4, A_5, B_5) → poly26, w_4, z_4, a_7, b_7Polygon(C_5, D_5, E_5, F_5) → poly27, c_8, d_7, e_8, f_8Polygon(G_5, H_5, I_5, J_5) → poly28, g_8, h_8, i_7, j_7Polygon(K_5, L_5, M_5, N_5) → poly29, k_8, l_8, m_8, n_8Polygon(O_5, P_5, Q_5, R_5) → poly30, o_5, p_8, q_8, r_8Polygon(S_5, T_5, U_5, V_5) → poly31, s_7, t_7, u_5, v_5Polygon(W_5, Z_5, A_6, B_6) → poly32, w_5, z_5, a_8, b_8If(x(F_5) ≥ -2 ∨ x(N_5) ≥ -2 ∨ x(P_5) ≥ -2 ∨ x(Z_5) ≥ -2 ∨ x(Z_4) ≥ -2 ∨ x(J_5) ≥ -2 ∨ x(T_5) ≥ -2 ∨ x(T_4) ≥ -2, 1, 0) → rrPolygon(B, H, C, D) → poly1, b, h, c, dIf(y(C_5) ≟ 0 ∨ y(K_5) ≟ 0 ∨ y(O_5) ≟ 0 ∨ y(W_5) ≟ 0 ∨ y(W_4) ≟ 0 ∨ y(G_5) ≟ 0 ∨ y(S_5) ≟ 0 ∨ y(S_4) ≟ 0, 1, 0) → ssPoint(b) → JPolygon(E, J, D, I, G, F) → poly2, e, j, d_1, i, g, fIntersect(h, b) → OPolygon(O, K, L, M, N, C) → poly3, o_1, k, l, m, n, c_1Midpoint(D, C) → PPolygon(R, Q, S, V, U, T) → poly4, r, q, s, v, u, tIf(Distance[b, c_8] < 0.2, 2, 0) → dd1If(Distance[b_7, b] < 0.2, 1, 0) → dd2If(Distance[g_8, b] < 0.2, 3, 0) → dd3If(Distance[k_8, b] < 0.2, 4, 0) → dd4If(Distance[r_8, b] < 0.2, 5, 0) → dd5If(Distance[v_5, b] < 0.2, 6, 0) → dd6If(Distance[b_8, b] < 0.2, 7, 0) → dd7If(Distance[v_4, b] < 0.2, 8, 0) → dd8If(som ≟ aa, true, false) → ppPolygon(G, M, L, Z, A_1, F) → poly5, g_1, m_1, l_1, z, a_1, f_1Polygon(B_1, D_1, F, A_1, C_1) → poly6, b_1, d_2, f_2, a_2, c_2Polygon(F_1, E_1, G_1, Z) → poly7, f_3, e_1, g_2, z_1Segment(H + (0, 0.15), B + (0, 0.15)) → h_1Segment(B_1 + (0, 0.1), B + (0, 0.1)) → pSegment(B_1 + (0, 0.15), B + (0, 0.15)) → i_1Segment(H + (0, 0.1), E_1 + (0, 0.1)) → j_1Segment(H + (0, 0.15), E_1 + (0, 0.15)) → k_1Segment(H + (0, 0.1), B + (0, 0.1)) → n_1Intersect(c_2, a_2) → H_1Polygon(H_1, I_1, J_1, K_1) → poly8, h_2, i_2, j_2, k_2
AI 绘图提示语参考
绘制一座由多个四边形拼接而成的桥,桥面由若干矩形和梯形组成,桥下有一条铁轨,铁轨上有一列由多个矩形车厢组成的火车。火车从左向右行驶,桥的左侧和右侧各有一个支撑结构。在桥的上方或旁边显示一个随机数字,并有一个计数器或状态指示,当火车完全通过桥时显示成功。整体为儿童数学教学场景,突出加法概念,图形简洁、色彩分明。
以上提示语为根据原始绘图命令整理而来,仅供参考。