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对问题进行多角度、全方位的分析,探究通性通法,可以拓展学生的思路,优化学生的思维品质,培养学生的创新与探究的意识,提高学生分析问题与解决问题的能力.二元函数的最值问题历来是高考的热点,也是难点.下面是本人在高三复习教学中遇到的一道试题:已知x,y∈R,则(x+y)2+(x-1y-1)2的最小值为A.14B.12C.姨22D.2姨2现从多个角度进行分析与归纳,充分挖掘试题的价值与内涵,得到该题的三种不同解法,颇感受益.现整理出来,与大家分享.一、转换视角——函数法
A multi-angle and comprehensive analysis of the problem and the exploration of the general method of generalization can broaden students’ thinking, optimize their thinking quality, cultivate students’ awareness of innovation and inquiry, and improve students’ ability to analyze and solve problems. The value of the function of the problem has always been the hot college entrance examination, but also difficult. Here is a review of the problems I encountered in the third year of a test: Known x, y∈R, (x + y) 2+ (x-1y-1 ) 2 minimum value of A.14B.12C. Aunt 22D.2 Aunt 2 is from a number of perspectives to analyze and summarize, fully tap the value and connotation of the test questions, get three different solutions to the problem, quite benefit. Sort out, to share with you. First, the conversion perspective - function method