By weighting method this paper discussed the quantity of single color triangle, and proved it simply, while the entity of board-value map is also introduced.
通过赋权的方法讨论了单色三角形数量的范围，给出一种较简单的证明，介绍了板植图的存在性。
Two representations of contingent epiderivative of the value map is given in terms of the derivative of the objective function, the contingent derivative of the constraint .
借助目标函数的导数、约束映射的余切导数及拉格朗日映射给出了值映射的余切上图导数的两个表示。
Meanwhile, applications of the K value map in soil and water conservation, monitoring of soil loss, ecological agricultural construction and reducing floods were also discussed.
同时，还依据该区K值的分布特点讨论了它在水土保持、土壤年流失量监测、生态农业建设和防洪减灾中的应用。
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