文[1]否定了司本志老师的猜想,指出“存在正三棱柱和正四棱柱,使其体积函数的导函数等于表面积函数.”笔者进一步发现:存在正n棱柱,使其体积函数的导函数等于表面积函数图1下面给出推导证明.图1为正n棱柱的底面的一部分,O为底面中心,A,B为相邻两个顶点,连结OA,OB并作OC⊥AB于点 The text [1] negates the conjecture of Sensei Motomichi, pointing out that “there is a regular prism and a regular prism, so that the derivative function of the volume function is equal to the surface area function.” The author further finds that there exists a positive n-prism that leads its derivative function of the volume function Is equal to the surface area function shown in Figure 1 deduction to prove the following Figure 1 is a part of the bottom surface of a positive n-prism, O is the center of the bottom surface, A, B for the adjacent two vertices, link OA, OB and OC⊥AB point