新勾股定理-复杂形状
几何画板及绘图内容加载中,请稍等……
这个范例演示了新勾股定理在复杂形状中的应用。核心数学概念包括几何变换、相似三角形和几何均值。通过使用GeoGebra命令如Circle、Point、Line、Intersect等,可以构造复杂的几何图形。适合高中数学教学和学习。
GeoGebra 命令及参数
Circle(A, a) → cPoint(c) → CLine(C, A) → fIntersect(c, f, 2) → DPoint(c) → BSegment(B, C) → gPoint(f) → ERotate(E, 90°, C) → E'Point(f) → FSegment(B, D) → hPolygon(D, B, 3) → poly1, i, j, k, GPolygon(B, C, 3) → poly2, l, m, n, HPolygon(C, D, 3) → poly3, p, q, r, IPolygon(G, B, 4) → poly4, s, t, b, d, J, KPolygon(H, C, 4) → poly5, e, f_1, g_1, h_1, L, MPolygon(I, D, 4) → poly6, i_1, j_1, k_1, l_1, N, OPolygon(M, L, 3) → poly7, m_1, n_1, p_1, PPolygon(K, J, 3) → poly8, q_1, r_1, s_1, QPolygon(O, N, 3) → poly9, t_1, a_1, b_1, RPolygon(Q, J, B, D, G, K) → poly10, q_2, j_2, b_2, d_1, g_2, k_2Polygon(B, H, M, P, L, C) → poly11, b_3, h_2, m_2, p_2, l_2, c_1Polygon(D, N, R, O, I, C) → poly12, d_2, n_2, r_2, o, ı, c_2PointIn(poly10) → Pointpoly10_1PointIn(poly11) → Pointpoly11_1PointIn(poly12) → Pointpoly12_1Perimeter(poly10) → perimeterpoly10PointIn(poly10) → Pointpoly10Perimeter(poly11) → perimeterpoly11PointIn(poly11) → Pointpoly11Perimeter(poly12) → perimeterpoly12PointIn(poly12) → Pointpoly12
AI 绘图提示语参考
绘制一个复杂的几何图形,包含多个三角形和四边形。首先画一个圆,然后在圆上取点C,通过点C画一条直线f,与圆相交得到点B和D。接着旋转点E得到E',并画线段BG。然后构造多个三角形和四边形,如三角形BCD、四边形GBDH等,最后计算并显示每个四边形的周长。
以上提示语为根据原始绘图命令整理而来,仅供参考。