垂直双曲线 by hgraber26 (2)
几何画板及绘图内容加载中,请稍等……
这个范例演示了垂直双曲线的几何构造。它涉及双曲线这一核心数学概念。通过使用GeoGebra命令如Focus、Point、Segment等,可以构造双曲线的焦点、顶点和渐近线。适合高中数学教学和学习。
GeoGebra 命令及参数
Focus(c_2) → F_2, F_1Point(c_2) → M_1Segment(F_1, M_1) → d_1Segment(F_2, M_1) → d_2Point(c_2) → M_2Segment(F_2, M_2) → d_4Segment(M_2, F_1) → d_3Asymptote(c_2) → i, jIntersect(j, i) → FCenter(Hyperbola[F_2, F_1, b]) → CenterVertex(Hyperbola[F_2, F_1, a]) → V_2, V_1, ,OrthogonalLine(B, xAxis) → eOrthogonalLine(A, xAxis) → fLine(V_1, xAxis) → gLine(V_2, xAxis) → lIntersect(e, g) → CIntersect(f, g) → DIntersect(f, l) → EIntersect(e, l) → GPolygon(C, D, E, G) → poly1, c_1, d_6, e_1, g_1Segment(Center, V_1) → a_1Segment(V_1, C) → b_1Circle(Center, F_1) → pPoint(p) → HSegment(Center, H) → mIntersect(c_1, b_1) → IIntersect(g_1, c_1) → JSegment(Center, J) → cSegment(Center, H) → n