八圆交点构造
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①本范例演示八圆交点形成的几何图形与空间关系;②涉及核心数学概念包括圆、交点、角度、几何作图;③构造要点:使用Segment(线段)、Circle(圆)、Line(直线)、AngularBisector(角平分线)等命令,创建并调整圆的位置与大小;④适合高中及以上学生学习几何作图、空间几何与解析几何知识。
GeoGebra 命令及参数
Segment(A, I) → fSegment(J, H_1) → gSegment(K, G_1) → hSegment(L, F_1) → iSegment(M, E_1) → jSegment(N, D_1) → kSegment(O, C_1) → lSegment(P, B_1) → mSegment(Q, A_1) → nSegment(A, Q) → pSegment(B, R) → qSegment(C, S) → rSegment(D, T) → sSegment(E, U) → tSegment(F, V) → aSegment(G, W) → bSegment(H, Z) → cSegment(I, A_1) → dCircle(PSeven, disksize) → eCircle(PThree, disksize) → c_2Circle(PFour, disksize) → d_1Circle(POne, disksize) → e_1Circle(PSix, disksize) → f_1Circle(PTwo, disksize) → g_1Circle(PFive, disksize) → h_1Circle(PEight, disksize) → k_1Line(POne, yAxis) → i_1Line(PTwo, i_1) → j_1Line(PThree, j_1) → l_1Line(PFour, l_1) → m_1Line(PFive, m_1) → n_1Line(PSix, n_1) → p_1Line(PSeven, p_1) → q_1Line(PEight, q_1) → r_1Line(POne, xAxis) → s_1Line(PTwo, s_1) → t_1Line(PThree, t_1) → a_1Line(PFour, a_1) → b_1Line(PFive, b_1) → c_1Line(PSix, c_1) → f_2Line(PSeven, f_2) → g_2Line(PEight, g_2) → h_2AngularBisector(s_1, i_1) → i_2, j_2AngularBisector(t_1, j_1) → k_2, l_2AngularBisector(a_1, l_1) → m_2, n_2AngularBisector(b_1, m_1) → p_2, q_2AngularBisector(c_1, n_1) → r_2, s_2AngularBisector(f_2, p_1) → t_2, a_2AngularBisector(g_2, q_1) → b_2, d_2AngularBisector(h_2, r_1) → e_2, f_3