菱形的性质探究 by Rosalie83 (2)
几何画板及绘图内容加载中,请稍等……
本范例通过勾选不同的选项来探究菱形的性质。涉及的核心数学概念包括几何性质、逻辑判断和统计特征。通过使用GeoGebra命令如Intersect、Line、Segment等,可以动态改变菱形的大小并观察其变化。适合初中及以上学生学习几何作图和动态几何。
GeoGebra 命令及参数
Intersect(xAxis, yAxis) → DLine(D, A) → aSegment(D, A) → bLine(D, C_1) → cMirror(yAxis, b) → yAxis'Segment(D, A) → dMirror(D, c) → A'Mirror(A, c) → CSegment(A', C) → d'Line(C, A) → ePolygon(A, D, C) → poly1, b', b_1, a_1Mirror(A, a_1) → B'_1Mirror(D, a_1) → BMirror(C, a_1) → B''Polygon(B'_1, B, B'') → poly1', b'', b'_1, a'_1Polygon(D, A, C_1, C) → poly2, a_2, b_2, c_1, b'_2Polygon(A, D, C, B) → poly3, b_3, a_3, b'_3, a'_2Polygon(D, A, B, C) → poly4, a_4, b_4, a'_3, b'_4Angle(C, D, A) → αAngle(D, A, B) → βAngle(A, B, C) → γAngle(B, C, D) → δSegment(D, B) → hSegment(A, C) → iIntersect(h, i) → D_1Segment(D, D_1) → kSegment(D_1, B) → lSegment(D_1, A) → mSegment(D_1, C) → nAngle(D_1, D, A) → εAngle(D, A, D_1) → ζAngle(D_1, A, B) → ηAngle(A, B, D_1) → θAngle(D_1, B, C) → ιAngle(B, C, D_1) → κAngle(D_1, C, D) → λAngle(C, D, D_1) → μAngle(A, D_1, D) → νAngle(D, D_1, C) → ξAngle(C, D_1, B) → οAngle(B, D_1, A) → ρPolygon(A, B, C, D) → poly5, a_5, b_5, c_2, d_1Segment(A, C) → pSegment(D, B) → sSegment(A, C) → rSegment(D, B) → e_1
AI 绘图提示语参考
绘制一个菱形ABCD,通过点A、B、C、D构造其对角线AC和BD,观察它们的交点D1。测量并显示菱形的四个内角α、β、γ、δ,以及对角线AC和BD的交点D1与菱形各顶点形成的角ε、ζ、η、θ、ι、κ、λ、μ、ν、ξ、ο、ρ。
以上提示语为根据原始绘图命令整理而来,仅供参考。