在△ABC中,显然有:A、B、C都是正数,且A+B+C=π.∴(1/A+1/B+1/C)π=(A+B+C)(1/A+1/B+1/C).由柯西不等式,有:(A+B+C)(1/A+1/B+1/C)≧[(1/√A)√A+(1/√B)√B+(1/√C)√C]^2=9,∴...
在△ABC中,显然有:A、B、C都是正数,且A+B+C=π.∴(1/A+1/B+1/C)π=(A+B+C)(1/A+1/B+1/C).由柯西不等式,有:(A+B+C)(1/A+1/B+1/C)≧[(1/√A)√A+(1/√B)√B+(1/√C)√C]^2=9,∴...