抛物线活动 by PJ Yim
几何画板及绘图内容加载中,请稍等……
该范例演示了抛物线的几何性质。核心数学概念包括抛物线、焦点、准线和顶点。通过使用GeoGebra命令如Point、OrthogonalLine、LineBisector等,可以动态展示抛物线的构造过程。适合高中数学教学和学习。
GeoGebra 命令及参数
Point(directrix) → BPoint(directrix) → CPoint(directrix) → FPoint(directrix) → GPoint(directrix) → JPoint(directrix) → KPoint(directrix) → LPoint(directrix) → MPoint(directrix) → NPoint(directrix) → OOrthogonalLine(N, directrix) → jOrthogonalLine(M, directrix) → kOrthogonalLine(L, directrix) → lOrthogonalLine(K, directrix) → mOrthogonalLine(J, directrix) → pOrthogonalLine(B, directrix) → qOrthogonalLine(C, directrix) → sOrthogonalLine(F, directrix) → bOrthogonalLine(G, directrix) → cLineBisector(Focus, K) → rIntersect(m, r) → QLineBisector(J, Focus) → nIntersect(p, n) → RLineBisector(Focus, L) → dIntersect(l, d) → SLineBisector(Focus, M) → eIntersect(k, e) → TLineBisector(Focus, N) → f_1Intersect(j, f_1) → UOrthogonalLine(Focus, directrix) → fIntersect(directrix, f_1) → ALineBisector(Focus, A) → gIntersect(f, g) → HLineBisector(Focus, C) → hIntersect(s, h) → ILineBisector(B, Focus) → iIntersect(q, i) → POrthogonalLine(O, directrix) → g_1LineBisector(O, Focus) → h_1Intersect(g_1, h_1) → VLineBisector(Focus, F) → aIntersect(b, a) → ELineBisector(G, Focus) → i_1Intersect(c, i_1) → WPoint(directrix) → DPoint(directrix) → ZPoint(directrix) → A_1OrthogonalLine(D, directrix) → tOrthogonalLine(Z, directrix) → j_1OrthogonalLine(A_1, directrix) → k_1LineBisector(D, Focus) → l_1Intersect(t, l_1) → B_1LineBisector(Z, Focus) → m_1Intersect(j_1, m_1) → C_1LineBisector(Focus, A_1) → n_1Intersect(k_1, n_1) → D_1
AI 绘图提示语参考
绘制抛物线及其焦点、准线和顶点。首先在直线上创建焦点F和准线B、C、D、E、F、G、H、I、J、K、L、M、N、O,然后通过焦点和准线构造一系列垂直线和角平分线,最终形成抛物线。
以上提示语为根据原始绘图命令整理而来,仅供参考。