关于微分中值定理的几何推广

On Geometric Generalization of Differential Mean Value Theorem

通过曲线段自身的几何性质研究了微分中值定理的几何表示 ,把中值定理的几何意义推广到空间曲线段 ,并由此推理得几个常见的中值定理形式及其推广形式。

By the geometric properties of the curve segment the geometric representation of the differential mean value theorem is studied. The geometric significance of the mean value theorem is generalized from plane curve to spatial curve and it follows that the several differential mean value theorems are given and generalized.