方程x²/(2-m)+y²/(m+1)=1表示焦点在y轴的双曲线时,求m的范围和焦点坐标
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![方程x²/(2-m)+y²/(m+1)=1表示焦点在y轴的双曲线时,求m的范围和焦点坐标](/uploads/image/z/601980-60-0.jpg?t=%E6%96%B9%E7%A8%8Bx%26%23178%3B%2F%282-m%29%2By%26%23178%3B%2F%28m%2B1%29%3D1%E8%A1%A8%E7%A4%BA%E7%84%A6%E7%82%B9%E5%9C%A8y%E8%BD%B4%E7%9A%84%E5%8F%8C%E6%9B%B2%E7%BA%BF%E6%97%B6%2C%E6%B1%82m%E7%9A%84%E8%8C%83%E5%9B%B4%E5%92%8C%E7%84%A6%E7%82%B9%E5%9D%90%E6%A0%87)
方程x²/(2-m)+y²/(m+1)=1表示焦点在y轴的双曲线时,求m的范围和焦点坐标
方程x²/(2-m)+y²/(m+1)=1表示焦点在y轴的双曲线时,求m的范围和焦点坐标
方程x²/(2-m)+y²/(m+1)=1表示焦点在y轴的双曲线时,求m的范围和焦点坐标
焦点在Y轴
m+1>0 and 2-m-1 and m>2
所以,m的范围是 m>2
c^2=(m+1)^2+(2-m)^2=2m^2-2m+5
焦点坐标(0,根号(2m^2-2m+5)),(0,-根号(2m^2-2m+5))