正方体的截面 by nandrews
几何画板及绘图内容加载中,请稍等……
这个范例演示了正方体的截面。它涉及立体几何中的平面图形和截面概念。通过使用GeoGebra命令如Polygon、Prism、Point等,可以构造出正方体的各个面和截面。适合初中和高中学生学习立体几何。
GeoGebra 命令及参数
Polygon(A, B, C, D) → poly1, a, b, c, dPrism(poly1, 4) → e, E, edgeAE, edgeBF, edgeCG, edgeDH, edgeEF, edgeFG, edgeGH, edgeEH, F, G, H, faceABFE, faceBCGF, faceCDHG, faceADHE, faceEFGHPoint(edgeFG) → IOrthogonalLine(I, edgeEH, space) → fOrthogonalLine(I, b, space) → gIntersect(b, g) → JOrthogonalLine(J, d, space) → hIntersect(edgeEH, f) → KIntersect(h, faceADHE) → LPolygon(I, K, L, J) → poly2, i, k, l, jPoint(edgeCG) → MOrthogonalLine(M, edgeBF, space) → nOrthogonalLine(M, edgeDH, space) → pIntersect(p, edgeDH) → NOrthogonalLine(N, edgeAE, space) → qPoint(q) → OPoint(n) → PPolygon(M, N, O, P) → poly3, m_1, n_1, o, p_1Point(edgeEH) → QIntersect(edgeCG, edgeGH) → RPoint(edgeDH) → SPlane(Q, R, S) → sIntersectPath(s, e) → poly4, T, U, V, W, t, a_1, b_1, c_1Intersect(edgeGH, edgeDH) → ZIntersect(edgeDH, d) → C_1Intersect(edgeGH, edgeEH) → A_1Intersect(edgeFG, edgeBF) → B_1Segment(A_1, B_1) → d_1Intersect(edgeBF, a) → D_1Segment(C_1, D_1) → e_1Point(d_1) → E_1Intersect(edgeCG, edgeFG) → F_1Intersect(edgeEH, edgeAE) → G_1Segment(G_1, C_1) → f_1Segment(F_1, C_1) → g_1Midpoint(g_1) → I_1Midpoint(f_1) → J_1Plane(E_1, J_1, I_1) → vIntersectPath(v, e) → poly5, K_1, l_1, L_1, M_1, N_1, O_1, h_1, i_1, j_1, k_1
AI 绘图提示语参考
绘制一个立方体,并展示其与平面FG垂直的截面。首先绘制一个底面ABCD,然后以边FG为轴,构造一个四棱柱。接着在边FG上取点I,作该边的垂线f,与底面BCGF的交点J,再作J到边d的垂线h,与边EH的交点K,以及K到边EF的垂线,与面ADHE的交点L,最后连接I、K、L、J形成截面多边形。
以上提示语为根据原始绘图命令整理而来,仅供参考。