椭圆x^2/9+y^2/k^2=1与双曲线x^2/k-y^2/3=1的焦点相同,则k=?

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椭圆x^2/9+y^2/k^2=1与双曲线x^2/k-y^2/3=1的焦点相同,则k=?

椭圆x^2/9+y^2/k^2=1与双曲线x^2/k-y^2/3=1的焦点相同,则k=?
椭圆x^2/9+y^2/k^2=1与双曲线x^2/k-y^2/3=1的焦点相同,则k=?

椭圆x^2/9+y^2/k^2=1与双曲线x^2/k-y^2/3=1的焦点相同,则k=?
由双曲线x^2/k-y^2/3=1方程,
可知,k>0,且焦点在x轴.可设焦点为F1(-c,0),F2(c,0)
9-k^2=k+3,解得:k1=2,k=-3(舍去)