已知F1,F2是双曲线C:x^2/4-y^2/12=1的左、右焦点,A是双曲线上动点,过F1作∠F1AF2的平分线的垂线,设垂足为P,则点P的轨迹方程为__________
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![已知F1,F2是双曲线C:x^2/4-y^2/12=1的左、右焦点,A是双曲线上动点,过F1作∠F1AF2的平分线的垂线,设垂足为P,则点P的轨迹方程为__________](/uploads/image/z/10189463-23-3.jpg?t=%E5%B7%B2%E7%9F%A5F1%2CF2%E6%98%AF%E5%8F%8C%E6%9B%B2%E7%BA%BFC%EF%BC%9Ax%5E2%2F4-y%5E2%2F12%3D1%E7%9A%84%E5%B7%A6%E3%80%81%E5%8F%B3%E7%84%A6%E7%82%B9%2CA%E6%98%AF%E5%8F%8C%E6%9B%B2%E7%BA%BF%E4%B8%8A%E5%8A%A8%E7%82%B9%2C%E8%BF%87F1%E4%BD%9C%E2%88%A0F1AF2%E7%9A%84%E5%B9%B3%E5%88%86%E7%BA%BF%E7%9A%84%E5%9E%82%E7%BA%BF%2C%E8%AE%BE%E5%9E%82%E8%B6%B3%E4%B8%BAP%2C%E5%88%99%E7%82%B9P%E7%9A%84%E8%BD%A8%E8%BF%B9%E6%96%B9%E7%A8%8B%E4%B8%BA__________)
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