已知圆C过点(-4,0)和(4,0),且被直线l:x+y=4截得的弦长为4根号2,(1)求圆C的方程(2)当点F(0,2)在圆C的内部时,过点F作直线l1交圆C与A,B两点,交X轴于点M,若MA=λ1A1F,MB=λ2BF求证λ1+λ2为定值(MA,AF,MB,BF为
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![已知圆C过点(-4,0)和(4,0),且被直线l:x+y=4截得的弦长为4根号2,(1)求圆C的方程(2)当点F(0,2)在圆C的内部时,过点F作直线l1交圆C与A,B两点,交X轴于点M,若MA=λ1A1F,MB=λ2BF求证λ1+λ2为定值(MA,AF,MB,BF为](/uploads/image/z/5282954-26-4.jpg?t=%E5%B7%B2%E7%9F%A5%E5%9C%86C%E8%BF%87%E7%82%B9%28-4%2C0%29%E5%92%8C%284%2C0%29%2C%E4%B8%94%E8%A2%AB%E7%9B%B4%E7%BA%BFl%3Ax%2By%3D4%E6%88%AA%E5%BE%97%E7%9A%84%E5%BC%A6%E9%95%BF%E4%B8%BA4%E6%A0%B9%E5%8F%B72%2C%281%29%E6%B1%82%E5%9C%86C%E7%9A%84%E6%96%B9%E7%A8%8B%EF%BC%882%EF%BC%89%E5%BD%93%E7%82%B9F%280%2C2%29%E5%9C%A8%E5%9C%86C%E7%9A%84%E5%86%85%E9%83%A8%E6%97%B6%2C%E8%BF%87%E7%82%B9F%E4%BD%9C%E7%9B%B4%E7%BA%BFl1%E4%BA%A4%E5%9C%86C%E4%B8%8EA%2CB%E4%B8%A4%E7%82%B9%2C%E4%BA%A4X%E8%BD%B4%E4%BA%8E%E7%82%B9M%2C%E8%8B%A5MA%3D%CE%BB1A1F%2CMB%3D%CE%BB2BF%E6%B1%82%E8%AF%81%CE%BB1%2B%CE%BB2%E4%B8%BA%E5%AE%9A%E5%80%BC%EF%BC%88MA%2CAF%2CMB%2CBF%E4%B8%BA)
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