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在江苏高考数学卷中,填空题占了较大比重。填空题的做题情况也会直接影响到考生下面做大题的心态。高考填空题的后几题往往会成为拦路虎,也就是考生口中的难题。如何突破这些难题,是冲击名校学生最为困惑的问题。作者也是高三应届生,本文就对于填空题中典型的不等式难题做一些研究与讨论。例一:与函数有关的不等式。设实数x,y满足3≤xy~2≤8,4≤(x~2)/(y~2)≤9。则(x~3)/(y~4)的最大值是?这是2010年江苏高考第12题,答案很简单,就是看出(x~3)/(y~4)=((x~4)~2y)/(xy~2)所以最大值为(9~2)=27。看出这一关系
In the Jiangsu college math volume, fill in the blank account for a larger proportion. Fill in the blank question to do the situation will directly affect the examinee following big mentality. After filling the vacancy of the college entrance examination questions often become a stumbling block, which is the mouth of the candidates problems. How to break through these problems is the most perplexing problem for the elite students. The author is also a freshman year of high school, this article will do some research and discussion on the typical inequality problem in the blank-fill question. Example 1: Function-related inequalities. Let the real numbers x, y satisfy 3≤xy ~ 2≤8, 4≤ (x ~ 2) / (y ~ 2) ≤9. (X ~ 3) / (y ~ 4) is the maximum? This is the 2010 Jiangsu college entrance exam 12 questions, the answer is very simple, is to see (x ~ 3) / (y ~ 4) = 4) to 2y) / (xy to 2), the maximum value is (9-2) = 27. See this relationship