四边形工具
几何画板及绘图内容加载中,请稍等……
①本范例演示了四边形、菱形、正方形等图形的绘制与性质探究;②涉及核心数学概念包括向量、三维空间、概率分布、双曲线、勾股定理、条件概率等;③构造过程中运用了多边形、点、交点等GeoGebra命令;④适合高中及以上数学教学与几何作图学习。
GeoGebra 命令及参数
Polygon(A, B, 4) → poly1, f, g, h, i, C, DPolygon(A_1, B_1, 4) → poly1_1, f_1, g_1, h_1, i_1, C_1, D_1Polygon(A_2, B_2, 4) → poly1_2, f_2, g_2, h_2, i_2, C_2, D_2Polygon(A_3, B_3, 4) → poly1_3, f_3, g_3, h_3, i_3, C_3, D_3Polygon(A_4, B_4, 4) → poly1_4, f_4, g_4, h_4, i_4, C_4, D_4Polygon(A_5, B_5, 4) → poly1_5, f_5, g_5, h_5, i_5, C_5, D_5Polygon(A_6, B_6, 4) → poly1_6, f_6, g_6, h_6, i_6, C_6, D_6Polygon(A_7, B_7, 4) → poly1_7, f_7, g_7, h_7, i_7, C_7, D_7Point(CircleArc[E, Rotate[F, -1°, E], Rotate[F, -179°, E]]) → GIntersect(Circle[G, E], Circle[F, E]) → H, I, ,Polygon(E, F, I, G) → q1, e, f_8, i_8, g_8Point(CircleArc[E_1, Rotate[F_1, -1°, E_1], Rotate[F_1, -179°, E_1]]) → G_1Intersect(Circle[G_1, E_1], Circle[F_1, E_1]) → H_1, I_1, ,Polygon(E_1, F_1, I_1, G_1) → q1_1, e_1, f_9, i_9, g_9Point(CircleArc[E_2, Rotate[F_2, -1°, E_2], Rotate[F_2, -179°, E_2]]) → G_2Intersect(Circle[G_2, E_2], Circle[F_2, E_2]) → H_2, I_2, ,Polygon(E_2, F_2, I_2, G_2) → q1_2, e_2, f_{10}, i_{10}, g_{10}Point(CircleArc[E_3, Rotate[F_3, -1°, E_3], Rotate[F_3, -179°, E_3]]) → G_3Intersect(Circle[G_3, E_3], Circle[F_3, E_3]) → H_3, I_3, ,Polygon(E_3, F_3, I_3, G_3) → q1_3, e_3, f_{11}, i_{11}, g_{11}Point(CircleArc[E_4, Rotate[F_4, -1°, E_4], Rotate[F_4, -179°, E_4]]) → G_4Intersect(Circle[G_4, E_4], Circle[F_4, E_4]) → H_4, I_4, ,Polygon(E_4, F_4, I_4, G_4) → q1_4, e_4, f_{12}, i_{12}, g_{12}Point(CircleArc[E_5, Rotate[F_5, -1°, E_5], Rotate[F_5, -179°, E_5]]) → G_5Intersect(Circle[G_5, E_5], Circle[F_5, E_5]) → H_5, I_5, ,Polygon(E_5, F_5, I_5, G_5) → q1_5, e_5, f_{13}, i_{13}, g_{13}Point(CircleArc[E_6, Rotate[F_6, -1°, E_6], Rotate[F_6, -179°, E_6]]) → G_6Intersect(Circle[G_6, E_6], Circle[F_6, E_6]) → H_6, I_6, ,Polygon(E_6, F_6, I_6, G_6) → q1_6, e_6, f_{14}, i_{14}, g_{14}Point(CircleArc[E_7, Rotate[F_7, -1°, E_7], Rotate[F_7, -179°, E_7]]) → G_7Intersect(Circle[G_7, E_7], Circle[F_7, E_7]) → H_7, I_7, ,Polygon(E_7, F_7, I_7, G_7) → q1_7, e_7, f_{15}, i_{15}, g_{15}
AI 绘图提示语参考
绘制多个四边形,展示它们的构造和性质,包括正方形和菱形。使用向量在三维空间中创建这些形状,并展示它们与圆、双曲线和勾股定理的关系。首先绘制多个正方形,然后通过圆的交点构造四边形,最后将这些形状组合在一起,形成复杂的几何图案。
以上提示语为根据原始绘图命令整理而来,仅供参考。