We make the in-orbit calibration to the point-spread functions (PSFs) of the collimators of the Hard X-ray Modulation Telescope with the scanning observation of the Crab. We construct the empirical adjustments to the theoretically calculated geometrical PSFs. The adjustments contain two parts: a rotating matrix to adjust the directional deviation of the collimators and a paraboloidal function to correct the inhomogeneity of the real PSFs. The parameters of the adjusting matrices and paraboloidal functions are determined by fitting the scanning data with lower scanning speed and smaller intervals during the calibration observations. After the PSF calibration, the systematic errors in source localization in the Galactic plane scanning survey are $0^{\circ }.010$, $0^{\circ }.015$, $0^{\circ }.113$ for the Low-Energy Telescope (LE), the Medium-Energy telescope (ME) and the High-Energy telescope (HE), respectively; meanwhile, the systematic errors in source flux estimation are 1.8%, 1.6%, 2.7% for LE, ME and HE, respectively.

我们使用蟹的扫描观测对硬X射线调制望远镜的准直器的点扩展函数（PSF）进行在轨校准。我们构建对理论计算的几何PSF的经验调整。调整包括两个部分：一个旋转矩阵，用于调整准直仪的方向偏差；以及抛物面函数，用于校正实际PSF的不均匀性。通过在校准观察期间以较低的扫描速度和较小的间隔拟合扫描数据来确定调整矩阵和抛物面函数的参数。在进行PSF校准后，银河平面扫描测量中源定位的系统误差为$0^{\circ }。010$， $0^{\circ }。015$， $0^{\circ }。113$分别用于低能望远镜（LE），中能望远镜（ME）和高能望远镜（HE）；同时，LE，ME和HE的源通量估算中的系统误差分别为1.8％，1.6％和2.7％。