X/(Y+Z)+Y/(X+Z)+Z/(X+Y)=1,求X^2/(Y+Z)+Y^2/(X+Z)+Z^2/(X+Y)=
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X/(Y+Z)+Y/(X+Z)+Z/(X+Y)=1设x/(y+z)=a,y/(x+z)=b,z/(x+y)=c∴a+b+c=1x=a(y+z)y=b(x+z)z=c(x+y)相加:x+x+z=(b+c)x+(a+c)y+(a+b)z∴[1-(b+c)]x+[1-(a+c)]y+[1-(a+b)]z=0∴ax+by+cz=0即X^2/(Y+Z)+Y^2/(X+Z)+Z^2/(X+Y)...
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