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数学综合题,通常是指需要综合运用若干个数学概念、定理和公式,以及相关的数学知识和多种方法、技巧来解答的数学题。初中数学综合题就内容来说可包括代数、平面几何和简单的三角函数知识。就方法来说可包括配方法、换元法。待定系数法,反证法、同一法、综合法、分析法、参数法等。就类型来说既可有纵向综合(涉及到两层、三层甚至多层知识结构)和横向综合(由两个、三个甚至多个横向的知识块组成),又可有纵横交错的大综合题。解综合题,要熟练运用数学概念、方法和技巧,不仅清楚知识的纵向来龙去脉,还要掌握知识横向之间的内在联系。所以解答综合题不论在知识的深度上和广度上要求都是比较高的。
Mathematical synthesis questions usually refer to mathematical problems that require the comprehensive use of several mathematical concepts, theorems and formulas, and related mathematical knowledge and methods and techniques. The comprehensive mathematics problem for junior high school can include knowledge of algebra, plane geometry, and simple trigonometric functions. In terms of methods, it may include fitting methods and substitution methods. The undetermined coefficient method, anti-evidence method, the same method, comprehensive method, analysis method, parameter method, etc. In terms of type, there can be vertical synthesis (involving two, three, or even multi-layer knowledge structures) and horizontal synthesis (composed of two, three, or even multiple horizontal knowledge blocks), and it can also be criss-cross Comprehensive question. To solve comprehensive problems, it is necessary to use mathematical concepts, methods, and techniques skillfully, not only to understand the depth and breadth of knowledge, but also to grasp the intrinsic relationship between horizontal knowledge. Therefore, the answer to the comprehensive question is relatively high both in depth and breadth of knowledge.