"设a^2=b^2=m(a>0,b>0),且a+b=6,则m等于"

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"设a^2=b^2=m(a>0,b>0),且a+b=6,则m等于""设a^2=b^2=m(a>0,b>0),且a+b=6,则m等于""设a^2=b^2=m(a>0,b>0),且a+b=6,则m等于"由

"设a^2=b^2=m(a>0,b>0),且a+b=6,则m等于"
"设a^2=b^2=m(a>0,b>0),且a+b=6,则m等于"

"设a^2=b^2=m(a>0,b>0),且a+b=6,则m等于"
由 a^2=b^2 可得 a=b 或 a= -b .
(1)当 a=b 时,由 a+b=6 得 a=b=3 ,因此 m=3^2=9 ;
(2)当 a= -b 时,a+b=0 ,与已知矛盾,舍去;
综上可得,m=9 .