水果箱几何模型
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水果箱的几何构造,展示多边形的旋转与交点关系;②涉及核心数学概念包括几何平均数、百分比、旋转、标准差和交点计算;③构造要点提炼自命令:点、线段、多边形、圆、交点、垂线、切线、斜率、导数、旋转、角度、直线、射线、轨迹;④适合高中数学教学,用于理解几何变换与数据分析的结合应用。
GeoGebra 命令及参数
Point(Circle[A, 36]) → BSegment(A, B) → aPolygon(A, B, 4) → polígono1, a_1, b, c, d, C, DCircle(D, corte) → eCircle(C, corte) → gIntersect(e, c) → E,Intersect(e, d) → F,Intersect(g, c) → G,Intersect(g, b) → H,OrthogonalLine(E, c) → hOrthogonalLine(F, d) → iOrthogonalLine(G, c) → jIntersect(h, i) → IIntersect(i, j) → JIntersect(j, a_1) → KIntersect(h, a_1) → LCircle(I, 18 - corte) → kIntersect(k, h) → M, NOrthogonalLine(N, h) → lIntersect(j, l) → OCircle(N, corte) → pIntersect(p, h) → P, QOrthogonalLine(Q, h) → mIntersect(j, m) → RSegment(E, L) → nSegment(Q, R) → qSegment(F, H) → rSegment(G, K) → sIntersect(d, l) → SIntersect(b, l) → TSegment(S, T) → tPolygon(F, I, N, S) → polígono2, f_1, i_1, n_1, s_1Polygon(J, H, T, O) → polígono3, j_1, h_1, t_1, oPolygon(E, I, J, G) → polígono4, e_1, i_2, j_2, g_1Polygon(N, Q, R, O) → polígono5, n_2, q_1, r_1, o_1Polygon(I, N, O, J) → polígono6, i_3, n_3, o_2, j_3Polygon(Q, L, K, R) → polígono7, q_2, l_1, k_1, r_2Intersect(f, xAxis, 1) → UCircle(U, corte) → c_1Intersect(c_1, xAxis, 2) → VOrthogonalLine(V, xAxis) → b_1OrthogonalLine(W, yAxis) → d_1Intersect(d_1, b_1) → ZTangent(Z, f) → m_1Slope(m_1) → m_2Derivative(f) → f'Intersect(f', xAxis) → A_1, B_1OrthogonalLine(A_1, xAxis) → p_1Intersect(f', b_1, 1) → C_1OrthogonalLine(D_1, b) → a_2Point(a_2) → E_1Rotate(E_1, 18*°, D_1) → F_1Angle(E_1, D_1, F_1) → αLine(D_1, F_1) → b_2Point(a_2) → G_1Rotate(G_1, 348*°, D_1) → H_1Angle(H_1, D_1, G_1) → βLine(H_1, D_1) → c_2OrthogonalLine(D_1, a_2) → d_2Circle(D_1, corte) → e_2Intersect(e_2, d_2) → I_1, J_1Line(I_1, b_2) → f_2Line(I_1, c_2) → g_2Circle(I_1, 18 - corte) → h_2Intersect(h_2, f_2) → K_1, L_1OrthogonalLine(L_1, a_2) → k_2Intersect(b_2, k_2) → M_1Circle(I_1, 36 - 2 * corte) → p_2Intersect(p_2, g_2) → N_1, O_1OrthogonalLine(N_1, a_2) → l_2Line(N_1, f_2) → s_2Line(L_1, g_2) → t_2Intersect(s_2, t_2) → P_1Intersect(c_2, l_2) → Q_1Polygon(N_1, I_1, L_1, P_1) → polígono8, n_4, i_4, l_3, p_3Polygon(N_1, Q_1, D_1, I_1) → polígono9, n_5, q_3, d_3, i_5Polygon(I_1, D_1, M_1, L_1) → polígono10, i_6, d_4, m_3, l_4OrthogonalLine(R_1, b) → a_3OrthogonalLine(R_1, a_3) → b_3Point(a_3) → S_1Ray(R_1, S_1) → c_3Point(b_3) → T_1Ray(R_1, T_1) → e_3Point(Circle[R_1, corte * 3]) → U_1Segment(R_1, U_1) → f_3OrthogonalLine(U_1, c_3) → g_3Circle(U_1, volumen / 50) → h_3Intersect(h_3, g_3) → V_1, W_1Locus(W_1, corte) → lugar1
AI 绘图提示语参考
绘制一个由多个多边形组成的几何模型,包括一个圆和四个由圆与直线相交生成的多边形。首先绘制一个圆,然后通过圆与直线的交点生成多个多边形,每个多边形由圆与直线的交点和圆上的点构成。最后,绘制一个与给定曲线相切的直线,并计算其斜率。
以上提示语为根据原始绘图命令整理而来,仅供参考。