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数学中的证明题变化多,证题无固定模式可循。许多学生拿到题目不知从何下手,如何帮助学生突破这一难关?我在实践中尝试使用“目标局部化”寻找证题突破口,收到了好的效果。所谓“目标局部化”,说的是对所要证明的问题,先选取一个整体目标(如求证的结论,恒等式的某边,不等式的一边等),再把整体目标分解成几个局部目标,然后先达到某个局部目标,通过局部目标的实现找到证题的突破口。相当一部分问题用这种方法往往奏效,现举例说明。
The number of proof items in mathematics varies greatly, and there is no fixed pattern for the test items. Many students get a title and know where to start, how can they help students overcome this difficulty? In practice, I tried to use the “target localization” to find a breakthrough in the testimony and received good results. The so-called “localization of goals” means that we first select an overall goal (such as the conclusion of verification, the edge of inequality, one side of inequality, etc.), and then decompose the overall goal into several partial goals. First reach a certain local goal, through the realization of the local goal to find the breakthrough point of the test. A considerable part of the problems tend to work in this way, as an example.