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當k<0時,曲線y24-x2-8k=1為焦點在y軸的雙曲線;當k=0時,曲線為兩條平行於軸的直線y=2或y=-2;當0<k<2時,曲線為焦點在x軸的橢圓;當k=2時,曲線為一個圓;當k>2時,曲線為焦點在y軸的橢圓.
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