数学建模是中学数学教学的重要内容,也是高考命题的热点之一.2005年湖南省高考(理工科)数学试卷的第20题就是一道有关数学建模的问题.原题如下: 自然状态下的鱼类是一种可再生的资源,为持续利用这一资源,需从宏观上考察其再生能力及捕捞强度对鱼群总量的影响.用xn表示某鱼群在第n年年初的 Mathematical modeling is an important part of middle school mathematics teaching, and is also one of the hot spots of college entrance examination propositions. In 2005, the 20th question of the Hunan Provincial College Entrance Examination (Science and Engineering) Mathematics Examination was a question related to mathematical modeling. The original questions were as follows: The fish is a renewable resource. In order to continue to use this resource, it is necessary to examine macroscopically the effect of its regenerative capacity and fishing intensity on the total amount of fish. Use xn to indicate that a fish school was at the beginning of the nth year.