In this paper, starting from a class of "K·m+n" (where k>0 and k≠1) type minimum problem, combining with relevant facts or axioms to explore its two broad applications-"straight line" mini...In this paper, starting from a class of "K·m+n" (where k>0 and k≠1) type minimum problem, combining with relevant facts or axioms to explore its two broad applications-"straight line" minimum value and "curved + linear" minimum value, two mathematical models of "Hu Bugui" and "As circle" are respectively generated from different starting points. According to the unique characteristics of both models and combining with "perpendicular axiom and line segment axiom", the proof of the models is given, and the discussion and application of the properties of the two models are given. That is, the coefficient is ingeniously changed into "1" by different methods, so as to achieve the purpose of "simplifying complexity" by using "perpendicular axiom" and "line segment axiom" respectively, and general application model problem-solving steps and skills are given after application, so as to solve such problems as "straight line type" and "curve type".展开更多
文摘In this paper, starting from a class of "K·m+n" (where k>0 and k≠1) type minimum problem, combining with relevant facts or axioms to explore its two broad applications-"straight line" minimum value and "curved + linear" minimum value, two mathematical models of "Hu Bugui" and "As circle" are respectively generated from different starting points. According to the unique characteristics of both models and combining with "perpendicular axiom and line segment axiom", the proof of the models is given, and the discussion and application of the properties of the two models are given. That is, the coefficient is ingeniously changed into "1" by different methods, so as to achieve the purpose of "simplifying complexity" by using "perpendicular axiom" and "line segment axiom" respectively, and general application model problem-solving steps and skills are given after application, so as to solve such problems as "straight line type" and "curve type".
