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We theoretically investigate the orientation of the cold KRb molecules in a weak electrostatic field assisted by a shaped laser pulse.The results show that the slow tu-on and rapid tu-off laser pulse can enhance the molecular orientation of KRb significantly,and a high degree of molecular orientation of more than 0.9 can be obtained when the electrostatic field is as low as 3kV/cm.In addition,the influences of the electrostatic field strength and the parameters of the laser pulse are studied in detail.