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对钻头磨尖问题进行研究，并描绘出制造相关的几何模型．本文提出了斜等距曲面的概念及相应公式，并介绍了它们在钻头磨尖中的应用，最后用具体算例实施了验证工作，表明本文所述方法的可靠性．
Studied the bit sharpening problem and delineated manufacturing related geometry models. In this paper, the concept and the corresponding formula of inclined isometric surface are proposed, and their application in bit sharpening is introduced. At last, the verification is carried out with a concrete example to show the reliability of the method described in this paper.