如果(1-m^2-n^2)(m^2+n^2)=0 ,则m^2+n^2 =

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如果(1-m^2-n^2)(m^2+n^2)=0 ,则m^2+n^2 =
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如果(1-m^2-n^2)(m^2+n^2)=0 ,则m^2+n^2 =
如果(1-m^2-n^2)(m^2+n^2)=0 ,则m^2+n^2 =

如果(1-m^2-n^2)(m^2+n^2)=0 ,则m^2+n^2 =
您好:

(1-m^2-n^2)(m^2+n^2)=0

因为 m^2+n^2≥0

则m^2+n^2 =1或0



不明白,可以追问
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祝学习进步!

(1-m^2-n^2)(m^2+n^2)=0
1-m^2-n^2 = 0 或 m^2+n^2 = 0
若1-m^2-n^2 = 0 ,m^2+n^2 = 1
综上 m^2+n^2 = 0 或 1

m^2+n^2 >=0
(1-m^2-n^2)(m^2+n^2)=0即
[1-(m^2+n^2)](m^2+n^2)=0
(m^2+n^2)=0或1