平行线上的角 by azb
几何画板及绘图内容加载中,请稍等……
①本范例演示平行线上的内错角、同位角、同旁内角关系;②涉及核心数学概念包括平行线性质、角相等与互补定理;③构造要点:使用Segment命令绘制线段,Intersect命令求交点,Angle命令测量角度,Point命令标记关键点;④适合初中及以上学生学习平行线几何性质,也可用于高中几何证明辅助教学。
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_1Segment(Q, R) → dSegment(S, T) → eAngle(e, d) → εIntersect(d, e) → W_2Segment(W_2, Q) → fAngle(S, W_2, Q) → ζ
AI 绘图提示语参考
绘制两条平行线a和b,以及两条穿过它们的直线c和d。标记它们的交点分别为G、H、O、P、Z、W、V、U。测量角α、β、γ、δ,它们分别是c和d的交角、a和c的交角、d1和f1的交角、e1和f1的交角。
以上提示语为根据原始绘图命令整理而来,仅供参考。