凹凸曲线问题是近几年高考与平时训练中的一种新题型 .这种题情景新颖、背景公平 ,能考查学生的创新能力和潜在的数学素质 ,体现“高考命题范围遵循教学大纲 ,又不拘泥于教学大纲”的改革精神 .但由于曲线的凹凸性在中学教材中既没有明确的定义 ,又没有作专门的研究 ,因此 ,就 Convexity curve problem is a new type of questions in the college entrance examination and usual training in recent years. This title novel, fair background, can examine students’ innovative ability and potential mathematics quality, reflect the "college entrance examination proposition scope follows the syllabus, and It is not rigidly adhered to the reform spirit of the curriculum. However, because the curve’s unevenness is not clearly defined in the middle school textbooks and there is no specific study, therefore,