已知抛物线y^2=2Px的焦点F与双曲线x^2/4-y^2/5=1的右焦点重合抛物线的准线与轴的交点为K点在抛物线上且AK=√2AF则A点的横坐标
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/26 03:27:11
![已知抛物线y^2=2Px的焦点F与双曲线x^2/4-y^2/5=1的右焦点重合抛物线的准线与轴的交点为K点在抛物线上且AK=√2AF则A点的横坐标](/uploads/image/z/5304700-28-0.jpg?t=%E5%B7%B2%E7%9F%A5%E6%8A%9B%E7%89%A9%E7%BA%BFy%5E2%3D2Px%E7%9A%84%E7%84%A6%E7%82%B9F%E4%B8%8E%E5%8F%8C%E6%9B%B2%E7%BA%BFx%5E2%2F4-y%5E2%2F5%3D1%E7%9A%84%E5%8F%B3%E7%84%A6%E7%82%B9%E9%87%8D%E5%90%88%E6%8A%9B%E7%89%A9%E7%BA%BF%E7%9A%84%E5%87%86%E7%BA%BF%E4%B8%8E%E8%BD%B4%E7%9A%84%E4%BA%A4%E7%82%B9%E4%B8%BAK%E7%82%B9%E5%9C%A8%E6%8A%9B%E7%89%A9%E7%BA%BF%E4%B8%8A%E4%B8%94AK%3D%E2%88%9A2AF%E5%88%99A%E7%82%B9%E7%9A%84%E6%A8%AA%E5%9D%90%E6%A0%87)
已知抛物线y^2=2Px的焦点F与双曲线x^2/4-y^2/5=1的右焦点重合抛物线的准线与轴的交点为K点在抛物线上且AK=√2AF则A点的横坐标
已知抛物线y^2=2Px的焦点F与双曲线x^2/4-y^2/5=1的右焦点重合抛物线的准线与轴的交点为K点在抛物线上且AK=√2AF则A点的横坐标
已知抛物线y^2=2Px的焦点F与双曲线x^2/4-y^2/5=1的右焦点重合抛物线的准线与轴的交点为K点在抛物线上且AK=√2AF则A点的横坐标
双曲线x^2/4-y^2/5=1,
c=√(4+5)=3,
右焦点(3,0),
p/2=3,p=6,
抛物线方程为:y^2=12x,
抛物线准线方程为:x=-3,
K坐标为(-3,0),
从A作抛物线准线垂线,垂足H,
|AH|=|AF|,(抛物线定义),
|AK|=√2|AF|=√2|AH|,
|AH|/|AK|=cos