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Cross sections of the ${e}^{+}{e}^{\ensuremath{-}}$ annihilate into one photon and two vector mesons, such as $J/\ensuremath{\psi}\ensuremath{\rho}$, $J/\ensuremath{\psi}\ensuremath{\phi}$, and $\ensuremath{\rho}\ensuremath{\phi}$ at the center of mass energy $\sqrt{s}=10.58\text{ }\text{ }\mathrm{GeV}$ are calculated. These shed light on the measurement of the ${e}^{+}{e}^{\ensuremath{-}}$ annihilation cross section via radiative return in $B$ factories. At another …