根据枝晶优先生长方向与磨面之间的几何关系 ,导出了铸造合金试样任意三个相交磨面的晶面指数算式 ,并创建了两个含有不同算式的电子表格 ,分别可实现晶体位向及定向切割所需夹角的自动计算 ,使晶体位向的测算比常用的 X射线 Laue背射法简单、代价低、效率高。实例验算并通过与 X射线 L aue背射法测定结果及其它有关数据的比较分析表明 ,本文建立的方法计算结果可靠。 According to the geometrical relationship between the direction of dendrite growth and the wear surface, the exponential formula for the plane of any three intersecting grinding surfaces of the cast alloy specimen is deduced and two electronic tables with different formulas are created, The automatic calculation of the required angle to the directional cutting makes the calculation of the crystal orientation easier and less costly than the commonly used X-ray Laue back projection method. A case study and comparison with the X-ray L aue back-projection method and other related data show that the method proposed in this paper is reliable.