  The chiral Lagrangians with vector mesons are constructed in different
approaches, including the next-to-leading order Lagrangian in the vector-field
approach, the next-to-next-to-leading order Lagrangians in the tensor-field and
the hidden local symmetry approaches. Some redundant terms are found at the
next-to-leading order in the tensor-field and the hidden local symmetry
approaches. The corresponding relations between the next-to-next-to-leading
order pseudoscalar mesonic low-energy constants and the ones in the hidden
local symmetry approach are obtained at tree level. The equivalence between the
tensor-field approach and the hidden local symmetry approach is also discussed.
