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Using 2.93 fb−1 data taken at √ s = 3.773 GeV, 0.482 fb−1 data taken at √ s = 4.009 GeV and 3.19 fb−1 data taken at √ s = 4.178 GeV with the BESIII detector, precision measurements of the branching fractions of D0 → Kμνμ, D+ → K̄μνμ, D 0 → πμνμ, D+ → πμνμ, D+ → lνl and D+ s → lνl are performed. Combining the known branching fractions of D → K̄eνe, D → πeνe and D+ s → τντ , we have tested the lepton flavor universality with D → K̄lνl, D → πlνl, D+ → lνl and D+ s → lνl decays. We have also tested lepton flavor universality in different q2 lνl intervals for D → K̄l νl (l = e or μ). Besides, hadronic form factor fK + (0), D meson decay constant fD+ s and fD+, and quark mixing matrix element |Vcs| and |Vcd| are also extracted with the most precise accuracies to date.

Test lepton flavor universality with (semi)leptonic $D$ decays at BESIII