已知椭圆C的中心在坐标原点,焦点在x轴上,离心率为 1 2 ,椭圆C上的点到焦点距离的最大值为3. (Ⅰ)求椭圆C的标准方程; (Ⅱ)若过点P(0,m)的直线l与椭圆C交于不同的两点A,B,且 AP =3 PB ,求实数m的取值范围.
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