已知抛物线C:x^2=4y的焦点为F,点P为抛物线下方的一点,过点P作抛物线两条切线PA、PB,切点为A、B(1)若A、B、F三点共线,求证:点P在抛物线的准线L上;(2)对任意的点P,求证∠AFP=∠BFP
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/07 11:57:55
![已知抛物线C:x^2=4y的焦点为F,点P为抛物线下方的一点,过点P作抛物线两条切线PA、PB,切点为A、B(1)若A、B、F三点共线,求证:点P在抛物线的准线L上;(2)对任意的点P,求证∠AFP=∠BFP](/uploads/image/z/3682148-68-8.jpg?t=%E5%B7%B2%E7%9F%A5%E6%8A%9B%E7%89%A9%E7%BA%BFC%EF%BC%9Ax%5E2%3D4y%E7%9A%84%E7%84%A6%E7%82%B9%E4%B8%BAF%2C%E7%82%B9P%E4%B8%BA%E6%8A%9B%E7%89%A9%E7%BA%BF%E4%B8%8B%E6%96%B9%E7%9A%84%E4%B8%80%E7%82%B9%2C%E8%BF%87%E7%82%B9P%E4%BD%9C%E6%8A%9B%E7%89%A9%E7%BA%BF%E4%B8%A4%E6%9D%A1%E5%88%87%E7%BA%BFPA%E3%80%81PB%2C%E5%88%87%E7%82%B9%E4%B8%BAA%E3%80%81B%EF%BC%881%EF%BC%89%E8%8B%A5A%E3%80%81B%E3%80%81F%E4%B8%89%E7%82%B9%E5%85%B1%E7%BA%BF%2C%E6%B1%82%E8%AF%81%EF%BC%9A%E7%82%B9P%E5%9C%A8%E6%8A%9B%E7%89%A9%E7%BA%BF%E7%9A%84%E5%87%86%E7%BA%BFL%E4%B8%8A%EF%BC%9B%EF%BC%882%EF%BC%89%E5%AF%B9%E4%BB%BB%E6%84%8F%E7%9A%84%E7%82%B9P%2C%E6%B1%82%E8%AF%81%E2%88%A0AFP%3D%E2%88%A0BFP)
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