已知抛物线C1:y1=1/2x²-x+1,点F(1,1) (1)求抛物线C1的顶点的坐标.(2)①若抛物线C1与y轴的交点为A,连接AF,并延长交抛物线C1于B,求证:1/AF+1/BF=2②取抛物线C1上任意一点p(xp,yp)(0
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![已知抛物线C1:y1=1/2x²-x+1,点F(1,1) (1)求抛物线C1的顶点的坐标.(2)①若抛物线C1与y轴的交点为A,连接AF,并延长交抛物线C1于B,求证:1/AF+1/BF=2②取抛物线C1上任意一点p(xp,yp)(0](/uploads/image/z/3802558-22-8.jpg?t=%E5%B7%B2%E7%9F%A5%E6%8A%9B%E7%89%A9%E7%BA%BFC1%EF%BC%9Ay1%3D1%2F2x%26%23178%3B-x%2B1%2C%E7%82%B9F%EF%BC%881%2C1%EF%BC%89+%EF%BC%881%EF%BC%89%E6%B1%82%E6%8A%9B%E7%89%A9%E7%BA%BFC1%E7%9A%84%E9%A1%B6%E7%82%B9%E7%9A%84%E5%9D%90%E6%A0%87.%EF%BC%882%EF%BC%89%E2%91%A0%E8%8B%A5%E6%8A%9B%E7%89%A9%E7%BA%BFC1%E4%B8%8Ey%E8%BD%B4%E7%9A%84%E4%BA%A4%E7%82%B9%E4%B8%BAA%2C%E8%BF%9E%E6%8E%A5AF%2C%E5%B9%B6%E5%BB%B6%E9%95%BF%E4%BA%A4%E6%8A%9B%E7%89%A9%E7%BA%BFC1%E4%BA%8EB%2C%E6%B1%82%E8%AF%81%EF%BC%9A1%2FAF%2B1%2FBF%3D2%E2%91%A1%E5%8F%96%E6%8A%9B%E7%89%A9%E7%BA%BFC1%E4%B8%8A%E4%BB%BB%E6%84%8F%E4%B8%80%E7%82%B9p%28xp%2Cyp%29%280)
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