We report on the discovery of unusual broad absorption lines (BALs) in the bright quasar SDSS J075133.35+134548.3 at z ～ 1,using archival and newly obtained optical and NIR spectroscopic data.The BALs are detected reliably in HeⅠ* λ3889,He Ⅰ* λ10830 and tentatively in A1 Ⅲ,Mg Ⅱ.These BALs show complex velocity structures consisting of two major components:a high-velocity component(HV),with a blueshifted velocity range of △vHv ～--9300-3500km s-1,which can be reliably detected in He Ⅰ* λ 10830,and tentatively in A1 Ⅲ and Mg Ⅱ,whereas it is undetectable in He Ⅰ* λ3889;and a low-velocity component (LV),with △vLV～--3500-1800km S-1,is only detected in HeⅠ*λ3889 and HeⅠ* λ10830.With the BALs from different ions,the HV outflowing gas can be constrained to have a density of nH～1010.3-10114 cm-3,a column density of NiH ～ 1021 cm-2 and an ionization parameter of U ～10-1s3-10-1.72;inferring a distance of RHv～0.5 pc from the central continuum source with a monochromatic luminosity λLλ(5100)=7.0～ 1045 erg s-1 at 5100 A.This distance is remarkably similar to that of the normal broad line region (BLR) estimated from reverberation experiments,suggesting association of the BLR and the HV BAL outflowing gas.Interestingly,a blueshifted component is also detected in A1 Ⅲ and Mg Ⅱ broad emission lines (BELs),and the A1 Ⅲ/Mg Ⅱ of such a BEL component can be reproduced by the physical parameters inferred from the HV BAL gas.The LV BAL gas likely has a larger column density,a higher ionization level and hence a smaller distance than the HV BAL gas.Further spectroscopy with a high S/N ratio and broader wavelength coverage is needed to confirm this to shed new light on the possible connection between BALs and BELs.