已知椭圆X^2/(a^2)+Y^2/(a^2-1)=1(a>1)的左右焦点F1、F2,抛物线C:y^2=2px,以F2为焦点且与椭圆相交于点M(x1,y1)、N(x2,y2),直线F1M与抛物线c相切(1)求抛物线C的方程和点M、N的坐标(2)求椭圆方
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![已知椭圆X^2/(a^2)+Y^2/(a^2-1)=1(a>1)的左右焦点F1、F2,抛物线C:y^2=2px,以F2为焦点且与椭圆相交于点M(x1,y1)、N(x2,y2),直线F1M与抛物线c相切(1)求抛物线C的方程和点M、N的坐标(2)求椭圆方](/uploads/image/z/5301373-13-3.jpg?t=%E5%B7%B2%E7%9F%A5%E6%A4%AD%E5%9C%86X%5E2%2F%EF%BC%88a%5E2%EF%BC%89%2BY%5E2%2F%EF%BC%88a%5E2-1%EF%BC%89%3D1%28a%3E1%29%E7%9A%84%E5%B7%A6%E5%8F%B3%E7%84%A6%E7%82%B9F1%E3%80%81F2%2C%E6%8A%9B%E7%89%A9%E7%BA%BFC%3Ay%5E2%3D2px%2C%E4%BB%A5F2%E4%B8%BA%E7%84%A6%E7%82%B9%E4%B8%94%E4%B8%8E%E6%A4%AD%E5%9C%86%E7%9B%B8%E4%BA%A4%E4%BA%8E%E7%82%B9M%28x1%2Cy1%29%E3%80%81N%EF%BC%88x2%2Cy2%EF%BC%89%2C%E7%9B%B4%E7%BA%BFF1M%E4%B8%8E%E6%8A%9B%E7%89%A9%E7%BA%BFc%E7%9B%B8%E5%88%87%EF%BC%881%EF%BC%89%E6%B1%82%E6%8A%9B%E7%89%A9%E7%BA%BFC%E7%9A%84%E6%96%B9%E7%A8%8B%E5%92%8C%E7%82%B9M%E3%80%81N%E7%9A%84%E5%9D%90%E6%A0%87%EF%BC%882%EF%BC%89%E6%B1%82%E6%A4%AD%E5%9C%86%E6%96%B9)
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