Pappus 定理面积-2
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本范例演示了Pappus定理的面积计算。核心概念包括面积、重心、圆、外接圆、四边形、几何分布、平面图形、多边形、四边形、对称性、几何变换、对数、阶梯函数、向量、正方形、指数函数。通过使用GeoGebra命令如Polygon、Centroid、Segment、Intersect、Point、Line、Midpoint、OrthogonalLine、Perimeter、PointIn等,构建了一个几何图形,适合高中数学教学。
GeoGebra 命令及参数
Polygon(A, B, 8) → poly1, f, D, E, F, G, H, g, h, i, j, k, l, m, CCentroid(poly1) → ISegment(B, I) → nSegment(A, I) → pSegment(H, I) → qSegment(G, I) → rSegment(F, I) → sSegment(E, I) → tSegment(D, I) → aSegment(C, I) → bIntersect(n, poly1) → LPoint(n) → JSegment(B, A) → cLine(J, f) → dIntersect(d, p) → KIntersect(d, p) → MPolygon(M, J, 8) → poly2, e, O, P, Q, R, S, f_1, g_1, h_1, i_1, j_1, k_1, l_1, NMidpoint(B, J) → TLine(T, d) → m_1Intersect(m_1, p) → USegment(U, T) → n_1Polygon(U, T, 8) → poly3, p_1, W, Z, A_1, B_1, C_1, q_1, r_1, s_1, t_1, a_1, b_1, c_1, VSegment(B, J) → e_1OrthogonalLine(I, g) → d_1Intersect(d_1, g) → D_1Intersect(d_1, f_1) → E_1Segment(D_1, E_1) → f_2Perimeter(poly3) → perimeterpoly3PointIn(poly3) → Pointpoly3_{1}PointIn(poly3) → Pointpoly3_{2}Perimeter(poly3) → uPointIn(poly3) → Pointpoly3_{3}Perimeter(poly1) → perimeterpoly1PointIn(poly1) → Pointpoly1_{1}Perimeter(poly1) → vPointIn(poly1) → Pointpoly1_{2}Perimeter(poly2) → perimeterpoly2PointIn(poly2) → Pointpoly2_{1}Intersect(q_1, f_2) → F_1PointIn(poly1) → Pointpoly1PointIn(poly3) → Pointpoly3PointIn(poly2) → Pointpoly2
AI 绘图提示语参考
绘制一个正八边形,并标出其中心。从中心向八边形的每个顶点连接线段,形成八条辐射线。在一条辐射线上取一点,过该点作八边形一条边的平行线,与相邻辐射线相交,以交点和该点为顶点构造第二个正八边形。再取前两个点连线的中点,过中点作平行线,构造第三个正八边形。最后,在三个八边形内部各随机放置一个点,并显示各八边形的周长。
以上提示语为根据原始绘图命令整理而来,仅供参考。