用数形结合的思想,从解析几何的观点出发,可将“希望杯”中诸多函数值范围问题转化为几何问题,不但能培养学生形象思维,提高解题能力,而且能优化学生的认知结构,培养创新能力.现举例如下: 1.利用二点间线段长最短求最值 With the idea of ​​combination of numbers and shapes, from the perspective of analytical geometry, many questions in the “Hope Cup” can be transformed into geometric problems. This not only can train students’ image thinking, improve their problem-solving abilities, but also can optimize students’ cognition. Structure, training innovation ability. Now for example as follows: 1. Use the shortest segment length between two points