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Using $e^+e^-$ collision data corresponding to an integrated luminosity of2.93 fb$^{-1}$ taken at a center-of-mass energy of 3.773 GeV with the BESIIIdetector, we determine the absolute branching fractions$\mathcal{B}(D^+\rightarrow K_S^0 K^+)$ = $(3.02 \pm 0.09 \pm0.08)\times10^{-3}$, $\mathcal{B}(D^+\rightarrow K_S^0 K^+ \pi^0)$ = $(5.07 \pm0.19 \pm 0.23)\times10^{-3}$, $\mathcal{B}(D^+\rightarrow K_L^0 K^+)$ = $(3.21\pm 0.11 \pm 0.11)\times10^{-3}$, and $\mathcal{B}(D^+\rightarrow K_L^0 K^+\pi^0)$ = $(5.24 \pm 0.22 \pm 0.22)\times10^{-3}$, where the first and seconduncertainties are statistical and systematic, respectively. The branchingfraction \wbrksk is consistent with the world average value and the other threebranching fractions are measured for the first time. We also measure the $CP$asymmetries for the four decays and do not find a significant deviation fromzero.

Measurements of the absolute branching fractions and $CP$ asymmetries for $D^+\rightarrow K_{S,L}^0 K^+(\pi^0)$