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已知抛物线G的顶点在原点,焦点在y轴正半轴上,点P(m,4)到其准线的距离等于5, (Ⅰ)求抛物线G的方程; ( Ⅱ)如图,过抛物线G的焦点的直线依次与抛物线G及圆x 2 +(y-1) 2 =1交于A,C,D,B四点,试证明|AC|· |BD|为; (Ⅲ)过A,B分别作抛物线G的切线l 1 ,l 2 ,且l 1 ,l 2 交于点M,试求△ACM与△BDM面积之和的最小值.
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