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设 x,y,z 是任意实数,在△ABC 中,则有不等式x~2+y~2+z~2≥2xycosC+2zxcosB+2yzcosA(1)其中等号当且仅当 x:sinA=y:sinB=z:sinC 时成立.不等式(1)即三角形中著名的 Wolstenholme 不等
Let x, y, and z be any real numbers. In △ABC, there is an inequality x~2+y~2+z~2≥2xycosC+2zxcosB+2yzcosA(1) where the equal sign is if and only if x:sinA=y :sinB=z: sinC is established. Inequality (1) is the well-known Wolstenholme in triangles