半园式田径场分道前伸数公式的研究

Research on the Formula for Lane Echelon Allowance in a Half Circle Playing Field

众所周知,传统的田径场地径赛弯道丈量法——“放射法”和“直弦法”存在拉线长,丈量速度慢,使用不方便等缺点。笔者从改革田径场地径赛弯道丈量法的需要出发,摸索研究了分道前伸数的计算公式。 通过列表、画图的比较得知前伸数、分道差、分道前伸数三者之间存在着密切的联系。分道前伸数公式的推导,离不开前伸数和分道差。 本文以求解400米起点线第三道和第四道的分道前伸数为例,得出分道前伸数公式:Ln=(C_1/R(n-1))·d。 最后,应用“角弧法”和“比值法”对公式的准确性进行了检验。本文认为分道前伸数公式的出现,为改革田径场地径赛弯道丈量法提供了条件,同时澄清了某些人对“分道差”的模糊概念。

It is known that the traditional mathods, “Consine Method” and 'Sine Method' , which measure the lanes in the playing field, are defective, for you have to use a long line and the measurement is very slow and inconvenient. In order to improve the method of measuring the curve lanes in a playing field, the author has made a research on the formula for calculating the lane echelon allowance, Comparing the methods by way of arranging the tables and drawing the diagrams, we can find a close relation between echelon allowance, lane difference and lane echelon allowance. The inquiry of the formula for lane echelon allowance is based on the echelon allowance and lane difference . The formula for lane echelon allowance can be obtained by seeking for the lane echelon allowance in the third and fourth tracks from the starting line in four-hundred-metre race finally, we can test the accuracy of the formula by using two methods.The author thinks that the formula for lane echelon allowance not only provides the conditions to improve the lane measurement in a playing field, but makes some obscure ideas clear.