已知方程x눀+y눀-4x+2my+2m눀-2m+1=0表示圆C

求实数m的取值范围
2025-12-17 17:13:51
推荐回答(2个)
回答1:

x²+y²-4x+2my+2m²-2m+1=0
x²-4x+4+y²+2my+m²=-2m²+2m-1+4+m²
(x-2)²+(y-m)²=-m²+2m+3
-m²+2m+3>0
m²-2m-3<0
(m+1)(m-3)<0
-1<m<3

回答2:

m=3或者-1