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三角与平面向量是历年高考必考内容之一,其难度不大,是同学们在高考中得分的重要题型.现在,就让我们结合各地最新试题,一起来解读三角与向量考纲.第一等级三角函数的图象与性质考纲要求了解三角函数的周期性.理解正弦函数、余弦函数在区间[0,2π]内的性质(如单调性、最大值和最小值以及与x轴的交点等);理解正切函数在区间(-π/2,π/2)内的单调性.考纲解读①仅仅了解三角函数的周期性是不够的,要重视周期性在三角函数的求值和图象中的应用,这是周期性考查的重点.②关于性质,《考纲》不仅仅限于对函数y=sinx,y=cosx,y=tanx的要求,而且还要求同学们能够应用转化思想、整体思想、数形结合思想求解y=Asin(ωx+ψ)等函数的单调性、周期
Triangle and plane vector is one of the college entrance examination over the years will be one of the exam content, the difficulty is not big, is the students in the college entrance examination scores an important question now, let us combine the latest questions around, together to interpret the triangle and vector syllabus. Level and trigonometric trigonometric functions require periodicity of trigonometric functions Understanding the properties of the sine and cosine functions within the interval [0,2π] (eg, monotonicity, maximum and minimum, and intersection with the x-axis, etc.) ); Understand the monotonicity of the tangent function in the interval (-π / 2, π / 2). Syllabus Interpretation ① It is not enough to know only the periodicity of the trigonometric functions. Emphasis should be placed on the periodicity in evaluating trigonometric functions and images Which is the focus of the periodic examination.② On the nature, “syllabus” is not limited to the requirements of the function y = sinx, y = cosx, y = tanx, but also requires students to apply transformation thinking, holistic thinking, Solving the monotonicity and periodicity of the function y = Asin (ωx + ψ) with the combination of numbers and shapes