三角形的中心点
几何画板及绘图内容加载中,请稍等……
本范例展示了三角形的八个中心点,包括重心、垂心等。通过使用GeoGebra命令如Polygon、LineBisector、Circle等,可以直观地理解这些中心点的几何意义。适合初中及以上学生学习三角形的几何性质。
GeoGebra 命令及参数
Polygon(A, B, C) → poly1, c, a, bOrthogonalLine(A, a) → dOrthogonalLine(C, c) → eOrthogonalLine(B, b) → fIntersect(d, f) → C_1LineBisector(b) → hLineBisector(c) → iLineBisector(a) → jIntersect(j, h) → C_2Circle(C_2, C) → kAngularBisector(C, B, A) → mAngularBisector(B, A, C) → nAngularBisector(A, C, B) → pIntersect(n, m) → C_3OrthogonalLine(C_3, a) → qIntersect(q, a) → GCircle(C_3, G) → rMidpoint(b) → HMidpoint(c) → IMidpoint(a) → JSegment(A, J) → sSegment(C, I) → tSegment(B, H) → a_1Intersect(a_1, t) → C_4Segment(C_2, C_1) → b_1Line(C, B) → bcLine(C, A) → acLine(A, B) → abIntersect(d, bc) → LIntersect(f, ac) → MIntersect(ab, e) → NSegment(A, L) → f_1Segment(C, N) → g_1Segment(B, M) → h_1Polygon(C, B, 3) → poly2, i_1, j_1, k_1, OPolygon(A, C, 3) → poly3, l_1, m_1, n_1, PPolygon(B, A, 3) → poly4, p_1, q_1, r_1, QPolygon(A, B, 3) → poly5, b_2, c_2, d_2, SPolygon(B, C, 3) → poly6, e_2, f_2, g_2, TPolygon(C, A, 3) → poly7, h_2, i_2, j_2, UCircle(S, B, A) → c_1Circle(B, T, C) → d_1Circle(U, A, C) → e_1LineBisector(r_1) → p_2LineBisector(q_1) → q_2Intersect(p_2, q_2) → RLine(C, R) → s_1LineBisector(m_1) → t_1LineBisector(n_1) → a_2Intersect(t_1, a_2) → A_1Line(B, A_1) → n_2LineBisector(k_1) → r_2LineBisector(j_1) → s_2Intersect(r_2, s_2) → B_1Line(A, B_1) → t_2Intersect(t_2, n_2) → C_7Circle(B, A, Q) → c_3Circle(C, A, P) → d_3Circle(C, B, O) → e_3Intersect(c_3, e_3) → D_1, C_8, ,Intersect(c_1, d_1, 2) → C_6Center(c_1) → WCenter(d_1) → ZCenter(e_1) → F_1Segment(F_1, B) → k_2Segment(W, C) → l_2Segment(A, Z) → m_2Intersect(m_2, k_2) → C_5Segment(P_1, P_2) → b_3Segment(P_2, P_6) → f_3Line(P_1, P_2) → a_3Line(P_2, P_8) → g_3Line(P_2, P_6) → h_3
AI 绘图提示语参考
绘制一个三角形ABC,然后依次画出它的外心、垂心、内心、重心、九点圆的圆心、欧拉线、内切圆的圆心、旁切圆的圆心,并标出这些中心点和它们之间的关系。
以上提示语为根据原始绘图命令整理而来,仅供参考。