已知点C(1,0),点A、B是圆O:x^2+y^2=9上任意两个不同的点,且满足向量AC*向量BC=0,设P为弦AB的中点1.求点P的轨迹T的方程2.试探究在轨迹T上是否存在这样的点:它到直线x=-1的距离恰好等于到点C的距
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![已知点C(1,0),点A、B是圆O:x^2+y^2=9上任意两个不同的点,且满足向量AC*向量BC=0,设P为弦AB的中点1.求点P的轨迹T的方程2.试探究在轨迹T上是否存在这样的点:它到直线x=-1的距离恰好等于到点C的距](/uploads/image/z/3685837-13-7.jpg?t=%E5%B7%B2%E7%9F%A5%E7%82%B9C%281%2C0%29%2C%E7%82%B9A%E3%80%81B%E6%98%AF%E5%9C%86O%3Ax%5E2%2By%5E2%3D9%E4%B8%8A%E4%BB%BB%E6%84%8F%E4%B8%A4%E4%B8%AA%E4%B8%8D%E5%90%8C%E7%9A%84%E7%82%B9%2C%E4%B8%94%E6%BB%A1%E8%B6%B3%E5%90%91%E9%87%8FAC%2A%E5%90%91%E9%87%8FBC%3D0%2C%E8%AE%BEP%E4%B8%BA%E5%BC%A6AB%E7%9A%84%E4%B8%AD%E7%82%B91.%E6%B1%82%E7%82%B9P%E7%9A%84%E8%BD%A8%E8%BF%B9T%E7%9A%84%E6%96%B9%E7%A8%8B2.%E8%AF%95%E6%8E%A2%E7%A9%B6%E5%9C%A8%E8%BD%A8%E8%BF%B9T%E4%B8%8A%E6%98%AF%E5%90%A6%E5%AD%98%E5%9C%A8%E8%BF%99%E6%A0%B7%E7%9A%84%E7%82%B9%EF%BC%9A%E5%AE%83%E5%88%B0%E7%9B%B4%E7%BA%BFx%3D-1%E7%9A%84%E8%B7%9D%E7%A6%BB%E6%81%B0%E5%A5%BD%E7%AD%89%E4%BA%8E%E5%88%B0%E7%82%B9C%E7%9A%84%E8%B7%9D)
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