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(本小题满分13分) 如图,设抛物线 的准线与 轴交于 ,焦点为 ;以 为焦点,离心率 的椭圆 与抛物线 在 轴上方的交点为 ,延长 交抛物线于点 , 是抛物线 上一动点,且 M 在 与 之间运动. (1)当 时,求椭圆 的方程; (2)当 的边长恰好是三个连续的自然数时,求 面积的最大值.
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