单作用冲压机机构
几何画板及绘图内容加载中,请稍等……
该范例演示了单作用冲压机的工作原理。涉及的核心数学概念包括圆、旋转、交点、直线、角、线段等。通过使用GeoGebra命令如Circle、Rotate、Intersect、Line等进行几何作图。适合高中数学教学,特别是解析几何和几何作图的教学。
GeoGebra 命令及参数
Circle(A, r1) → cPoint(c) → BRotate(B, ang, A) → B'Circle(B', r2) → dPoint(d) → CCircle(D, l3) → eCircle(C, l4) → fIntersect(f, e) → E, F, ,Line(E, D) → n_1Circle(D, r3) → p_1Intersect(p_1, n_1) → B_1, C1Rotate(C1, ang1, D) → C1'Point(p_1) → B2Angle(B, A, B') → αSegment(D, E) → gPoint(d) → GCircle(G, l5) → hPoint(h) → HCircle(H, l6) → kIntersect(k, ax) → J, KSegment(H, K) → iCircle(K, r0) → pCircle(H, r0) → qCircle(E, r0) → rCircle(D, r0) → sPoint(q) → LPoint(p) → MSegment(L, M) → jPoint(q) → NPoint(p) → OSegment(N, O) → lOrthogonalLine(E, g) → mOrthogonalLine(D, g) → nIntersect(r, m) → P, QIntersect(s, n) → R, SSegment(P, R) → tSegment(Q, S) → aCircle(H, r00) → c_1Circle(E, r00) → d_1Circle(B', r000) → e_1Point(c_1) → TTangent(T, e_1) → b, f_1Intersect(e_1, f_1) → USegment(U, T) → g_1Point(c_1) → VTangent(V, d_1) → h_1, i_1Intersect(d_1, h_1) → WSegment(W, V) → j_1Point(e_1) → ZTangent(Z, d_1) → k_1, l_1Intersect(d_1, l_1) → A_1Segment(Z, A_1) → m_1Circle(AA, r4) → s_1Circle(C1', r3) → r_1Intersect(r_1, s_1) → D_1, E_1, ,Circle(D_1, l8) → c_2Circle(AA, l9) → d_2Intersect(d_2, c_2) → F1, G_1, ,Segment(AA, F1) → a_1Line(E, B2) → g_2Segment(D_1, AA) → b_1Segment(F1, D_1) → f_2Angle(C1, D, C1') → βSegment(D, C1') → q_1Segment(C1', D_1) → t_1Circle(F1, l11) → e_2Point(xAxis) → C_1Line(C_1, F_1) → h_2Intersect(e_2, h_2) → H_1, I_1Segment(F1, H_1) → i_2Circle(F1, r0) → k_2Circle(AA, r0) → p_2Circle(D_1, r0) → q_2Circle(H_1, r0) → r_2Circle(C1', r0) → s_2Point(r_2) → J_1Tangent(J_1, k_2) → j_2, l_2Intersect(k_2, l_2) → K_1Segment(K_1, J_1) → m_2Tangent(K_1, q_2) → n_2, t_2Intersect(q_2, t_2) → L_1Segment(L_1, K_1) → a_2Point(k_2) → M_1Tangent(M_1, p_2) → b_2, f_3Intersect(p_2, b_2) → N_1Segment(M_1, N_1) → g_3Point(p_2) → O_1Tangent(O_1, q_2) → h_3, i_3Intersect(q_2, h_3) → P_1Segment(P_1, O_1) → j_3Point(r_2) → Q_1Tangent(Q_1, k_2) → k_3, l_3Intersect(k_2, k_3) → R_1Segment(R_1, Q_1) → m_3Point(s_2) → S_1Tangent(S_1, s) → n_3, p_3Intersect(s, n_3) → T_1Segment(S_1, T_1) → q_3Point(s_2) → U_1Tangent(U_1, s) → r_3, s_3Intersect(s, s_3) → V_1Segment(U_1, V_1) → t_3Tangent(L_1, s_2) → a_3, b_3Intersect(s_2, b_3) → W_1Segment(W_1, L_1) → c_3Point(q_2) → Z_1Tangent(Z_1, s_2) → d_3, e_3Intersect(s_2, d_3) → A_2Segment(A_2, Z_1) → f_4
AI 绘图提示语参考
绘制一个单动冲压机机构示意图。先画一个以固定点为中心的大圆,在其上取一点,将该点绕中心旋转一个角度得到新点。以新点为圆心画第二个圆,并在其上取一点。再以两个固定点为圆心分别画圆,求两圆交点,连接其中一个交点与固定点形成线段。以固定点为圆心画小圆,与上述线段相交,取交点并旋转。接着构造多个辅助圆和交点,形成连杆机构。最后添加若干小圆和切线,以及垂线,构成完整的冲压机运动简图。
以上提示语为根据原始绘图命令整理而来,仅供参考。