四边形探索 by Alan
几何画板及绘图内容加载中,请稍等……
本范例通过锁定四边形类型,让学生能够探索和发现四边形的性质。使用了Polygon, Point, Mirror, Intersect, Segment, Distance等GeoGebra命令。适合初中及以上学生进行几何作图和探索。
GeoGebra 命令及参数
Polygon(A, B, C, D) → Q, a, b, c, dPolygon(A_P, B_P, C_P, D_P) → P, a_p, b_p, c_p, d_pPoint(Line[C_T, Line[A_T, B_T]]) → D_TPolygon(A_T, B_T, C_T, D_T) → T, a_t, b_t, c_t, d_tMirror(C_{T_I}, LineBisector[Segment[A_{T_I}, B_{T_I}]]) → D_{T_I}Polygon(A_{T_I}, B_{T_I}, C_{T_I}, D_{T_I}) → T_I, a_{t_i}, b_{t_i}, c_{t_i}, d_{t_i}Point(Circle[B_{RH}, Distance[A_{RH}, B_{RH}]]) → C_{RH}Polygon(A_{RH}, B_{RH}, C_{RH}, D_{RH}) → R_H, a_rh, b_{rh}, c_{rh}, d_{rh}Point(Circle[B_K, Distance[A_K, B_K]]) → C_KPoint(LineBisector[A_K, C_K]) → D_KPolygon(A_K, B_K, C_K, D_K) → K, a_k, b_k, c_k, d_kPoint(OrthogonalLine[B_{RE}, Line[A_{RE}, B_{RE}]]) → C_{RE}Polygon(A_{RE}, B_{RE}, C_{RE}, D_{RE}) → R_E, a_{re}, b_{re}, c_{re}, d_{re}Polygon(A_S, B_S, C_S, D_S) → S, a_s, b_s, c_s, d_sIntersect(Segment[A, C], Segment[B, D]) → ESegment(A, E) → AESegment(B, E) → BESegment(D, E) → DESegment(C, E) → CEIntersect(Segment[A_P, C_P], Segment[B_P, D_P]) → E_PSegment(A_P, E_P) → AE_PSegment(B_P, E_P) → BE_PSegment(C_P, E_P) → CE_PSegment(D_P, E_P) → DE_PIntersect(Segment[A_{RE}, C_{RE}], Segment[B_{RE}, D_{RE}]) → E_{RE}Segment(A_{RE}, E_{RE}) → AE_{RE}Segment(B_{RE}, E_{RE}) → BE_{RE}Segment(C_{RE}, E_{RE}) → CE_{RE}Segment(D_{RE}, E_{RE}) → DE_{RE}Intersect(Segment[A_{RH}, C_{RH}], Segment[B_{RH}, D_{RH}]) → E_{RH}Segment(A_{RH}, E_{RH}) → AE_{RH}Segment(B_{RH}, E_{RH}) → BE_{RH}Segment(C_{RH}, E_{RH}) → CE_{RH}Segment(D_{RH}, E_{RH}) → DE_{RH}Intersect(Segment[A_S, C_S], Segment[B_S, D_S]) → E_SSegment(A_S, E_S) → AE_SSegment(B_S, E_S) → BE_SSegment(C_S, E_S) → CE_SSegment(D_S, E_S) → DE_SIntersect(Segment[A_K, C_K], Segment[B_K, D_K]) → E_KSegment(A_K, E_K) → AE_KSegment(B_K, E_K) → BE_KSegment(C_K, E_K) → CE_KSegment(D_K, E_K) → DE_KIntersect(Segment[A_T, C_T], Segment[B_T, D_T]) → E_TSegment(A_T, E_T) → AE_TSegment(B_T, E_T) → BE_TSegment(C_T, E_T) → CE_TSegment(D_T, E_T) → DE_TIntersect(Segment[A_{T_I}, C_{T_I}], Segment[B_{T_I}, D_{T_I}]) → E_{T_I}Segment(A_{T_I}, E_{T_I}) → AE_{T_I}Segment(B_{T_I}, E_{T_I}) → BE_{T_I}Segment(C_{T_I}, E_{T_I}) → CE_{T_I}Segment(D_{T_I}, E_{T_I}) → DE_{T_I}Distance(AE_S, DE_S) → eDistance(A_S, E_S) → distanceASES
AI 绘图提示语参考
绘制一个四边形ABCD,并探索其性质。首先绘制四边形ABCD,然后绘制其对称图形P,接着在对角线交点D_T处构造新的四边形T。通过镜像、旋转、平移等变换,探索不同类型的四边形及其性质。
以上提示语为根据原始绘图命令整理而来,仅供参考。