阿科诺皮尔弧
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geometriadinamica.es
阿科诺皮尔弧是一种特殊的圆弧,用于演示几何学和几何构造的概念。这个范例使用 GeoGebra 命令和对象,包括 Segment、Midpoint、Line、Circle、Intersect 等,来构造和展示阿科诺皮尔弧的特性。这个范例适合初中和高中学生学习几何学和几何构造的概念,特别是圆弧和圆的性质。
GeoGebra 命令及参数
Segment(D, B) → eMidpoint(C, D) → D_1Segment(C, D_1) → l_2Midpoint(C, D) → FLine(F, e) → kCircle(C, i) → p_3Intersect(p_3, l_2) → E_1, L_1Circle(E_1, C) → e_4Line(E_1, k) → a_3Intersect(e_4, a_3, 1) → H_1OrthogonalLine(H_1, k) → i_3Intersect(k, i_3) → I_1Circle(H_1, I_1) → f_4If(zz < 0, 10, zz) → jIntersect(f_4, a_3, 1) → J_1Min(1.5707963267948966, ((j - 5) * 3.14 / 6)) → aaaCircle(F, i) → pSegment(A, C) → dSegment(C, F) → rMirror(D, k) → D'_1Midpoint(C, D) → KSegment(K, C) → h_1Mirror(C, k) → C'_4Midpoint(C, C'_4) → UCircle(U, D) → p_2Rotate(C, Max[300.00000000000006°, ((-(c - 2)) * 180 / 3 / (3.14°))], F) → C'Segment(C', F) → lCircleArc(F, C', C) → f_3Mirror(F, k) → F'Mirror(C', k) → C''Mirror(C, k) → C'_1Arc(Mirror[Circle[F, C'], k], C'', C'_1) → g_3Mirror(C', k) → C''_1Mirror(F, k) → F'_1Segment(C''_1, F'_1) → l'Intersect(d, e) → C_1Circle(E_1, C) → q_3Rotate(C, Max[270°, ((-(j - 2)) * 90 / (3°))], E_1) → C'_5Segment(C'_5, E_1) → m_2CircleArc(E_1, C'_5, C) → r_3Mirror(E_1, k) → F_1Mirror(C'_5, k) → G_1Mirror(C, k) → C'_6Arc(Mirror[Circle[E_1, C'_5], k], G_1, C'_6) → s_3Segment(F_1, G_1) → n_2Circle(E_1, D_1) → t_3Rotate(H_1, aaa, J_1) → K_1CircleArc(J_1, H_1, K_1) → g_4Segment(J_1, K_1) → j_3Mirror(J_1, k) → M_1Mirror(H_1, k) → N_1Mirror(K_1, k) → O_1Arc(Mirror[Circle[J_1, H_1], k], N_1, O_1) → h_4Mirror(J_1, k) → P_1Mirror(K_1, k) → Q_1Segment(P_1, Q_1) → l_3Segment(T1, T) → m_3Mirror(D, m_3) → D'Mirror(B, m_3) → B'Segment(D', B') → e'Mirror(A, m_3) → A'Mirror(C, m_3) → C'_7Segment(A', C'_7) → d'Vector(A, B') → w_1Translate(pic1, w_1) → pic1'Translate(pic1, w_1) → pic1'_1
AI 绘图提示语参考
绘制一个圆心为C的圆,并从中引出一条弦DC。以D为起点,作DC的中点D1,再以D1为起点作一条线段l2。作线段e的中垂线k,以C为圆心作圆p3,与l2相交于E1和L1。以E1为圆心作圆e4,与k相交于H1,作H1关于k的垂线i3,与k相交于I1,以H1和I1为圆心作圆f4。根据条件调整圆f4与直线a3的交点J1,以F为圆心作圆p,与线段d相交于C1。以E1为圆心作圆q3,旋转C到C',以F为圆心作圆弧f3,以F'为圆心作圆弧g3,以C'为圆心作圆弧s3。以H1为圆心作圆弧g4,调整圆弧g4的起始点和终点。
以上提示语为根据原始绘图命令整理而来,仅供参考。