切割函数关于第二参数的分析性质

Analytical Properties on Tangent and Secant Function with Second Variable

重新定义了平面曲线的切割函数,使用经典的微分几何方法,得到了平面曲线的切割函数对第二参数的连续性和可微性,即平面曲线的切割函数关于第二参数也是连续函数;光滑曲线拓广的切割函数对两个参数都是光滑的.

Using classical differential geometry method,we redefine tangent and secant function of plane curve,and obtain some results about it：tangent and secant function of plane curve is a continuous function with the second variable;tangent and secant functions of smooth plane curves are smooth with both variables.