数学与应用数学-课标全国卷中三角恒等变换试题的分类解析论文VIP专享VIP免费

I摘 要本文以 2010--2019 年课标全国卷（理科数学）中涉及三角恒等变换相关内容的试题为研究对象，结合新课标的要求、前人的研究及试题的特点等，从三角恒等变换的两组基础公式（二倍角公式及两角和与差三角公式）的应用出发，将历年试卷中三角恒等变换试题比较系统地分为三类，并给予分类解析。同时，也从数学思想方法的角度对三角恒等变换相关内容的学习进行进一步探讨，并提出一些建议。关键词： 三角恒等变换；课标全国卷；类型；解析；数学思想方法IIAbstractThis paper takes the test questions related to angle transformation formula in the new curriculum standard national examination paper (mathematics for science) from 2009 to 2019 as the research object，which combines with the requirements of the new curriculum standard, the predecessors' researches and the characteristics of test questions and so on. Starting from two sets of the base formula (two-fold duplication formula and the sum and remainder formula of two angles) in angle transformation formula , the paper systematically divides the test questions of angle transformation formula in the past years into three categories and gives classification analysis. At the same time, the learning of the content related to angle transformation formula is worthy to explore from the perspective of mathematical thinking methods and some suggestions are made.Key words ： Angle transformation formula ； New Curriculum Standard National Examination Paper；category；analysis；mathematical thinking method目 录1 引言································12 高中三角恒等变换内容及相关知识···················22.1 三角恒等变换基础公式························22.1.1 两角和与差公式··························22.1.2 二倍角公式····························22.2 三角恒等变换进阶公式··········...