设椭圆C:a^2/x^+b^2/y^2=1(a>b>0)其相应于焦点F(2,0)的准线方程为x=4⑴求椭圆C的方程.

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设椭圆C:a^2/x^+b^2/y^2=1(a>b>0)其相应于焦点F(2,0)的准线方程为x=4⑴求椭圆C的方程.
.(2)已知过点F1(-2,0)倾斜角为a的直线相交于椭圆C于A.B两点,求证|AB|=4√2/2-cos^2⊙

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