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解析几何中最值和参数范围问题是平时考试和高考中的重点考查的内容之一.这类题型有两个特点:1知识点的覆盖面广(如二次曲线标准方程,各元素间关系,对称性,四边形面积,解二元二次方程组,基本不等式等);2求解过程牵涉到的数学思想方法相当多(诸如配方法,判别式法,参数法,不等式,函数的性质等),且综合性强.解答这类问题常常围绕“形助数”和“数究形”两方面展开,将最值和范围问题的目标函数化
Analyze the problem of the most value and parameter range in geometry is one of the key examinations in normal examinations and college entrance examinations.There are two characteristics of these exam questions: 1 The coverage of knowledge points is wide (such as the standard curve of conicoid, , Symmetry, quadrilateral area, solution of binary quadratic equations, basic inequalities, etc.); 2 solving process involves a considerable number of mathematical thinking (such as matching method, discriminant method, parameter method, inequality, the nature of the function, etc.) , And strong comprehensive solution to these problems are often around the “shape assistant ” and “research ” shape the two aspects, the most value and scope of the objective function of the problem