正多边形与面积
几何画板及绘图内容加载中,请稍等……
该GeoGebra范例展示了正多边形及其内切圆半径、外接圆半径和面积的计算。通过构造正多边形、中点、线段、角平分线、交点、角度和面积等,学生可以直观理解正多边形的性质及其面积计算方法。适合初中及以上学生学习几何与面积计算。
GeoGebra 命令及参数
Polygon(A, B, 5) → poly3, l, m, n, p, f_2, F, G, HMidpoint(f_2) → S_1Segment(S_1, F) → p_3Midpoint(m) → R_1Segment(R_1, H) → n_3Segment(A, B) → aPolygon(A, B, 3) → poly1, b, c, d, CPolygon(A, B, 4) → poly2, f, g, h, i, D, EPolygon(A, B, 6) → poly4, q, L, r, s, t, a_1, b_1, I, J, KMidpoint(a) → MAngularBisector(C, B, A) → c_1AngularBisector(B, A, C) → d_1AngularBisector(A, C, B) → e_1Intersect(e_1, d_1) → NSegment(N, B) → f_1Segment(N, A) → g_1Segment(N, C) → h_1Midpoint(d) → OMidpoint(c) → PSegment(N, P) → i_1Segment(N, O) → j_1Segment(M, N) → k_1Midpoint(a) → QMidpoint(i) → RMidpoint(h) → SMidpoint(g) → TAngularBisector(E, D, B) → l_1AngularBisector(D, B, A) → m_1Intersect(l_1, m_1) → UMidpoint(h) → VMidpoint(i) → WMidpoint(g) → ZMidpoint(a) → A_1Segment(U, Z) → n_1Segment(U, V) → p_1Segment(U, W) → q_1Segment(U, A_1) → r_1Segment(U, B) → s_1Segment(U, D) → t_1Segment(U, E) → a_2Segment(U, A) → b_2Angle(M, N, B) → αAngle(N, B, A) → βAngle(a, k_1) → γAngle(A_1, U, B) → δAngle(U, B, A) → εIntersect(r_1, a) → B_1Angle(B, B_1, U) → ζMidpoint(a) → F_1Midpoint(a_1) → K_1Midpoint(b_1) → L_1Midpoint(a) → M_1Midpoint(r) → N_1Midpoint(s) → O_1Midpoint(t) → P_1AngularBisector(K, J, I) → p_2AngularBisector(J, I, B) → q_2Intersect(q_2, p_2) → Q_1Segment(Q_1, I) → r_2Segment(N_1, Q_1) → s_2Segment(Q_1, B) → t_2Segment(M_1, Q_1) → a_3Segment(Q_1, O_1) → c_3Segment(J, Q_1) → d_3Segment(Q_1, P_1) → e_3Segment(K, Q_1) → f_3Segment(Q_1, K_1) → g_3Segment(L, Q_1) → h_3Segment(Q_1, L_1) → i_3Angle(M_1, Q_1, B) → κAngle(Q_1, B, M_1) → λAngle(B, M_1, Q_1) → μSegment(A, Q_1) → kMidpoint(f_2) → C_1Midpoint(p) → D_1Midpoint(n) → E_1Midpoint(m) → G_1Midpoint(b) → H_1Segment(H_1, G) → g_2Segment(F, C_1) → h_2Intersect(n_3, p_3) → I_1Segment(H_1, I_1) → i_2Segment(I_1, G_1) → j_2Segment(I_1, E_1) → k_2Segment(I_1, D_1) → l_2Segment(I_1, C_1) → m_2Segment(G, I_1) → n_2Segment(I_1, F) → c_2Segment(B, I_1) → d_2Segment(A, I_1) → e_2Segment(H, I_1) → j_3Angle(B, Q, I_1) → ηAngle(Q, I_1, B) → θAngle(I_1, B, Q) → ιMidpoint(b) → J_1Polygon(B, A, N) → poly5, k_3, l_3, m_3Area(poly5) → u_1Perimeter(poly1) → v_1Polygon(A, U, B) → poly6, b_3, a_4, u_2Perimeter(poly6) → o_2Polygon(A, I_1, B) → poly7, b_4, a_5, i_4Perimeter(poly3) → v_2Polygon(A, Q_1, B) → poly8, b_5, a_6, q_3Perimeter(poly4) → w_2
AI 绘图提示语参考
画一个正五边形,并标出其边的中点和连接中点与顶点的线段。再画一个正三角形和一个正方形,同样标出边的中点和连接中点与顶点的线段。接着,画一个正六边形,并标出其边的中点和连接中点与顶点的线段。最后,画三个角平分线,交于一点,并从交点向正三角形的顶点画三条线段。
以上提示语为根据原始绘图命令整理而来,仅供参考。