【摘要】 本文通过对一道解几题的探讨,获得了有心二次曲线的两个性质,其一是:A、B为有心二次曲线г:x~2/a~2±y~2/b~2=1(a,b>0)的左右两个顶点,直线l:x=c,P为г上任一点,直线PA与直线l交于点M,u为过M点的直线.若直线u与PB垂直,那么直线u是必定过定点.其二是:A,B为有心二次曲线г:(x+c)~2/a~2±y~2/b~2=1(a>b>0)的左右两个顶点,P为г上任一点,直线PA与y轴交于点M,u为过M点的直线.若直线PB逆时针旋转到直线u的转角为固定值θ(0≤θ<π,θ≠π/2),那么动直线u必与定抛物线相切.更多还原

【Abstract】 In this paper, two properties of a conic quadratic curve are obtained by discussing a few solutions. One property is that: A and B are two points on the conic curveГ:x~2/a~2±y~2/b~2=1(a,b>0),straight line l :x=c,P P would be any point on Г, Straight line PA and straight line l come together at the point M,u is a straight line across M. If u is vertical to PB, then u should across M. The other is that: A and B are two points on the conic curve Г:(x+c)~2/a~2±y~2/b~2=1(a,b>0), P would be any point on Г,Straight line PA and y axis come together at the point M,u is a straight line across M. If PB anticlockwise rotation toθ(0≤θ<π,θ≠π2), then the moving line u is bound with the fixed parabola tangent.更多还原