平行线中的角 by Jonathan Robinson
几何画板及绘图内容加载中,请稍等……
①本范例通过交互式演示展示了平行线中的角的关系;②涉及的核心数学概念包括同位角、内错角、同旁内角及其相等或互补的性质;③作图要点——使用了Segment(线段)、Intersect(交点)、Angle(角度)、Point(点)等GeoGebra命令和对象;④适合初中及以上学生学习和理解平行线几何性质,也可用于课堂教学演示。
GeoGebra 命令及参数
Segment(A, B) → aSegment(C, D) → bSegment(E, F) → cIntersect(b, c) → GIntersect(a, c) → HAngle(b, c) → αSegment(I_1, J_1) → d_1Segment(K_1, L_1) → e_1Segment(M_1, N_1) → f_1Intersect(d_1, f_1) → O_1Intersect(e_1, f_1) → P_1Point(b) → UIntersect(b, c) → VPoint(a) → WPoint(a) → A_1Point(b) → B_1Point(d_1) → C_1Point(d_1) → D_1Point(d_1) → E_1Point(e_1) → F_1Intersect(e_1, f_1) → G_1Point(e_1) → H_1Intersect(a, c) → ZAngle(A_1, Z, F) → βIntersect(d_1, f_1) → W_1Point(d_1) → Z_1Point(d_1) → A_2Point(e_1) → B_2Intersect(e_1, f_1) → C_2Point(e_1) → D_2Intersect(b, c) → E_2Intersect(a, c) → F_2Intersect(e_1, f_1) → G_2Point(b) → K_2Point(a) → L_2Point(b) → M_2Point(a) → N_2Point(d_1) → O_2Point(e_1) → P_2Point(e_1) → Q_2Point(d_1) → R_2Intersect(d_1, f_1) → H_2Angle(O_2, H_2, G_2) → γAngle(Q_2, G_2, H_2) → δSegment(M_3, N_3) → d_2Segment(O_3, P_3) → e_2Segment(Q_1, R_1) → f_2Intersect(d_2, f_2) → S_2Intersect(e_2, f_2) → T_1Intersect(d_2, f_2) → Q_3Point(d_2) → R_3Intersect(e_2, f_2) → S_3Point(e_2) → T_2Point(e_2) → U_1Point(d_2) → V_2Intersect(d_2, f_2) → I_2Intersect(e_2, f_2) → J_2Point(d_2) → S_1Point(d_2) → T_3Point(e_2) → U_2Point(e_2) → V_1Angle(J_2, I_2, S_1) → η_1Angle(V_1, J_2, I_2) → ε_1
AI 绘图提示语参考
画两条平行线,在线上标出三个点,连接这些点形成三个角,并标出其中一个角。再在线外画两条线与平行线相交,形成三个新的角,并分别标出这些角。最后,连接平行线上的点与相交点,形成多个三角形,并标出这些三角形的顶点。
以上提示语为根据原始绘图命令整理而来,仅供参考。