已知m,n满足根号下m-2n+丨2m-n-6丨=0

问题描述:

已知m,n满足根号下m-2n+丨2m-n-6丨=0
求根号下n/m × 根号下m^2+n^2.

根号下m-2n+丨2m-n-6丨=0
m-2n=0
2m-n=6
4m-2n=12
两式相减
3m=12
m=4
2n=m=4
n=2
根号下n/m × 根号下m^2+n^2
=√2/4 x√(16+4)
=√1/2x√20
=√10
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