理论计算表明,煤的灰分与低能γ射线反散射强度之间是一种非线性关系。数学分析和实验证明,在较窄的灰分范围内,灰分与反散射强度之间可按线性关系处理。本文结合实际的宽范围的标定曲线,讨论了非线性函数的线性化范围及线性化误差,并对不同的测量范围提供了电路设计的参考数据。 Theoretical calculations show that there is a non-linear relationship between the ash content of coal and the backscattering intensity of low-energy γ-rays. Mathematical analysis and experiments show that the ash content and the backscattering intensity can be dealt with linearly in the narrower ash range. In this paper, we discuss the linearization range and linearization error of nonlinear function, and provide the reference data of circuit design for different measurement range, based on the actual wide calibration curve.