线段等分 by Alexi
几何画板及绘图内容加载中,请稍等……
①本范例演示如何将线段等分为任意数量的小段;②涉及的核心数学概念包括线段、等分、几何作图、解析几何;③作图要点——从下方『构造摘要』提炼用到了Segment(线段), Ray(射线), Circle(圆), Intersect(交点)等GeoGebra命令/对象;④适合高中及以上数学学习者,用于理解线段等分的方法及其应用。
GeoGebra 命令及参数
Segment(A, B) → fRay(A, C) → gCircle(A, Segment[A, C]) → cRay(A_1, C_1) → g_1Circle(A_1, Segment[A_1, C_1]) → c_1Ray(A_2, C_2) → g_2Circle(A_2, Segment[A_2, C_2]) → c_2Ray(A_4, C_4) → g_3Circle(A_4, Segment[A_4, C_4]) → c_3Intersect(c_2, g, 2) → DSegment(B, E) → hSegment(A, C) → iRay(A_5, C_5) → g_4Segment(A_5, C_5) → i_1Segment(A, C) → jSegment(A, C) → kRay(A_7, C_6) → g_5Segment(A_7, C_6) → i_2Segment(A_7, C_6) → j_1Segment(A_7, C_6) → k_1Segment(A, C) → lSegment(D, A_2) → mRay(A_{10}, C_7) → g_6Ray(A_9, C_8) → g_7Circle(A_9, Segment[A_9, C_8]) → c_4Intersect(c_4, g_6, 2) → D_1Segment(A_{10}, C_7) → i_3Segment(A_{10}, C_7) → j_2Segment(A_{10}, C_7) → k_2Segment(A_{10}, C_7) → l_1Segment(D_1, A_9) → m_1Segment(C, A_2) → nSegment(C, A_2) → pSegment(C, A_2) → qSegment(C_9, A_{13}) → n_1Segment(C_9, A_{13}) → p_1Segment(C_9, A_{13}) → q_1Segment(A_2, A_{13}) → rSegment(A_2, A_{13}) → sSegment(A_{15}, A_{16}) → r_1Segment(A_{15}, A_{16}) → s_1Segment(A_{17}, A_{18}) → r_2Segment(A_{17}, A_{18}) → s_2
AI 绘图提示语参考
画一条线段,并从线段的一端引出一条射线。以线段为直径画圆,再以圆与射线的交点为圆心画新圆,重复此操作以等分线段。连接线段的起点和各交点,展示等分效果。
以上提示语为根据原始绘图命令整理而来,仅供参考。