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解析几何问题中,有一类问题与函数和不等式相关。例如求几何变量的取值问题,求某一个几何量的最大或最小值问题就属于这类问题。这类问题的难点集中在:几何性质等价地转化为代数不等式(组)的过程之中。这里,函数的思想方法会起很好的作用。在2000年数学高考试题中,有两道求取值范围的试题。
In analytical geometry problems, there is a class of problems related to functions and inequalities. For example, to solve the problem of the value of geometric variables, the problem of finding the maximum or minimum value of a certain geometric quantity falls into this category. The difficulty of this type of problem is centered on the process of the equivalent transformation of geometric properties into algebraic inequalities (groups). Here, the function’s thinking method will play a very good role. In the 2000 mathematics exam questions, there are two questions for the value range.