2004年教育部推出的高中新课程的数学配套教材必修1中引入了零点存在定理:连续函数y=f(x)在[a,b]的端点处的函数值符号相反,则y=f(x)在(a,b)内至少有一个零点存在.该定理简单易懂,并给出了判定方程是否有解及求近似解的依据.此定理还可进一步推广:交点存在定理:两连续函数y=f(x In 2004, the Mathematical Companion Mathematica for New Curriculum for Senior High School launched by the Ministry of Education introduced the zero existence theorem: the sign of the function value of the continuous function y = f (x) at the end point of [a, b] x) There exists at least one zero in (a, b). The theorem is easy to understand and gives the basis for determining whether there is solution and finding approximate solution. This theorem can be further generalized: The function y = f (x