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三角函数是中学数学中重要的初等函数之一,它的定义和性质有着十分鲜明的特征和规律性,它和代数、几何有着密切的联系,是研究其他数学知识的工具,在实际中也有着重要的应用.其性质(包括单调性、最值、周期性和对称性等)和图象变换(平移、伸缩变换等)是高考的热点,分值一般在20分左右.这部分内容涉及知识点多、广,特别是诱导公式、同角三角函数基本关系式、倍角公式、和差角公式以及正余弦定理的运用,是高考考查的重点.另外,三角函数与数列、不等式、平面向量等知识的综合渗透命题是近年来对这部分内容考查的一个亮点.复习时要充分运用数形结合的思想,把图象和性质结合起来加以解决.
The trigonometric function is one of the important elementary functions in middle school mathematics. Its definition and nature have very distinct characteristics and regularities. It is closely related to algebra and geometry. It is a tool for studying other mathematics knowledge. Important applications. Its properties (including monotonicity, maximum value, periodicity, symmetry, etc.) and image transformation (translation, scaling, etc.) are hot spots for the college entrance examination. The score is generally around 20 minutes. This part involves knowledge. The multi-point and wide-point, especially the induction formulas, the basic relational expressions of the same-angle trigonometric functions, the double-angle formulas, the difference angle formulas, and the use of the sine-cosine theorem are the focuses of the college entrance examination. In addition, trigonometric functions and sequences, inequalities, plane vectors, etc. The comprehensive penetration of knowledge proposition is a bright spot in this part of the content examination in recent years. When reviewing, we must make full use of the idea of combination of numbers and shapes, and combine the image and nature to solve it.