摘要（abridgement ）：Mathematics Olympiad entitled to carriers, a mathematical way of thinking on the meaning: mathematical thinking is to understand the nature of mathematical knowledge, from some of the specific content of mathematics and mathematical understanding of the excessive rise in refining a mathematical point of view, is a mathematics knowledge Structure of the essence and soul of the commander in chief and it played the dominant role of mathematical knowledge. It was in the awareness activities in the use of repeated, with the guidance of universal significance, is the establishment of mathematics and use mathematics to solve the problem of guiding ideology. Is the index of mathematical methods in question, problem-solving process, used in various ways, means and ways; cited the algebra substitution law, created conditions for effective problem solving in mathematics competition in the application; demonstrated the mathematical The unity of the United States, the United States and simple, symmetrical the United States, the United States and singular关键词：Mathematical thinking 数学思想Mathematical Methods 数学方法Competition 竞赛Replacement Act 代换法Additional conditions 增设条件
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