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什么叫数学思想方法?从高考试题看,据考试中心的有关人士的最新提法,应包含三个层次:一是基本的数学方法,如配方法、换元法、待定系数法、数学归纳法与比较法等;二是科学思维方法与数学逻辑方法,如观察、归纳、类比、抽象、概括等思维方法,以及分析法、综合法与反证法等逻辑方法;三是数学思想,如数形结合的思想,函数与方程的思想,分类与讨论的思想与等价转化的思想。
What is mathematics thinking method? From the high exam questions, according to the latest formulation of the test center’s relevant persons, it should include three levels: First, the basic mathematical methods, such as matching method, replacement method, undetermined coefficient method, mathematical induction method The second is scientific thinking methods and mathematical logic methods, such as observation, induction, analogy, abstraction, generalization, and other thinking methods, as well as analytical methods, comprehensive methods, and anti-evidence methods; and third, mathematical ideas, such as the combination of number and shape The ideas, the ideas of functions and equations, the ideas of classification and discussion, and the ideas of equivalent transformation.