“希望杯”最值题,背景新颗,取材广泛,知识容量大、综合性强、活而不偏、巧而不难,其中蕴含着非常丰富的数学思想方法,如化归、数形结合、建立模型、联想类比等,研究和解决它们,有助于活化我们的思维.提升综合素质,增强应试能力,本文归纳了解这类最值题的八个思路,供同学们参考. The “Hope Cup” is the most topical issue, with new backgrounds, extensive materials, large knowledge capacity, comprehensive strength, liveness without bias, and cleverness, but it is not difficult. It contains a very rich set of mathematical ideas and methods, such as the return of transformation, combination of number and shape, Establishing models, associating analogies, etc., studying and resolving them will help to activate our thinking, enhance the overall quality, and enhance the ability to take exams. This article summarizes eight ideas for understanding the most value-based questions for students’ reference.