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The processes e+e−→Ds+Ds1(2460)−+c.c. and e+e−→Ds*+Ds1(2460)−+c.c. are studied for the first time using data samples collected with the BESIII detector at the BEPCII collider. The Born cross sections of e+e−→Ds+Ds1(2460)−+c.c. at nine center-of-mass energies between 4.467 GeV and 4.600 GeV and those of e+e−→Ds*+Ds1(2460)−+c.c. at s=4.590 GeV and 4.600 GeV are …