已知圆O:x^2+y^2=4内一点P(0,1),过点P的直线l交圆O于A,B两点,且满足向量AP= λ向量PB(λ为常数)1.若AB的长(绝对值)=根号下14,求直线L的方程2.若λ=2,求直线L的方程3.求实数λ的取值范围
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![已知圆O:x^2+y^2=4内一点P(0,1),过点P的直线l交圆O于A,B两点,且满足向量AP= λ向量PB(λ为常数)1.若AB的长(绝对值)=根号下14,求直线L的方程2.若λ=2,求直线L的方程3.求实数λ的取值范围](/uploads/image/z/6854976-0-6.jpg?t=%E5%B7%B2%E7%9F%A5%E5%9C%86O%EF%BC%9Ax%5E2%2By%5E2%3D4%E5%86%85%E4%B8%80%E7%82%B9P%EF%BC%880%2C1%EF%BC%89%2C%E8%BF%87%E7%82%B9P%E7%9A%84%E7%9B%B4%E7%BA%BFl%E4%BA%A4%E5%9C%86O%E4%BA%8EA%2CB%E4%B8%A4%E7%82%B9%2C%E4%B8%94%E6%BB%A1%E8%B6%B3%E5%90%91%E9%87%8FAP%3D+%CE%BB%E5%90%91%E9%87%8FPB%EF%BC%88%CE%BB%E4%B8%BA%E5%B8%B8%E6%95%B0%EF%BC%891.%E8%8B%A5AB%E7%9A%84%E9%95%BF%EF%BC%88%E7%BB%9D%E5%AF%B9%E5%80%BC%EF%BC%89%3D%E6%A0%B9%E5%8F%B7%E4%B8%8B14%2C%E6%B1%82%E7%9B%B4%E7%BA%BFL%E7%9A%84%E6%96%B9%E7%A8%8B2.%E8%8B%A5%CE%BB%3D2%2C%E6%B1%82%E7%9B%B4%E7%BA%BFL%E7%9A%84%E6%96%B9%E7%A8%8B3.%E6%B1%82%E5%AE%9E%E6%95%B0%CE%BB%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4)
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