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组合优化是一门讨论某些离散型最优化问题的学问．但是众多问题之间，迄今所得结果和方法尚未“组合”起来，显得过分“离散”了一些．近几年，作者把组合最优化作了一定的推广，称为组合优化。致力于；它的定义的形式化；经验命题“整体的最优解在局部也最优“的形式化；以及导数定义的模拟。本系列文章将对它们作进一步的整理、发展，努力完善这一公理框架，以寻求其有效范围的边界，探讨它们所能起的作用。本文用一个公理系统（定义４）定义第一类优化问题；讨论它的一些基本性质和优化原理；还引进了解带概念，讨论在解带中的某些几何性质。
Combinatorial optimization is a science that discusses some discrete optimization problems. However, among the many issues, the results and methods so far have not yet been “combined” and appear too “discrete”. In recent years, the author made a certain promotion of portfolio optimization, called portfolio optimization. Dedicated to; the formalization of its definition; the empirical proposition that “the overall optimal solution is also locally optimal”; and the simulation of derivative definitions. This series of articles will further organize them, develop them, and work hard to perfect this axiom framework in order to seek the boundaries of their effective scope and to explore the role they can play. In this paper, an axiomatic system (Definition 4) is used to define the first type of optimization problem. Some basic properties and optimization principles of the system are discussed. The concept of the solution is also introduced to discuss some geometric properties in solution.