ALevel数学是很多热门专业的必选科目之一,所以竞争有多大可想而知,在ALevel数学中,函数是非常关键的考点,那么今天小编就为大家梳理一下ALevel数学考试函数部分的大纲要求!
考试大纲的要求
Edexcel考试局考试大纲对考点的描述是这样的:
1.11Graphs of functions; sketching curves defined by simple equations. Geometrical interpretation of algebraic solution of equations. Use of intersection points of graphs of functions to solve equations.1.12Knowledge of the effect of simple transformations on the graph ofy = f(x) as represented by y = af(x), y = f(x) + a, y = f(x + a), y = f(ax).
要求同学们对这两个考点做到:
Functions to include simple cubic functions and the reciprocal functions y=k/x and y= k/x2 with x ≠ 0. Knowledge of the term asymptote is expected.
Students should be able to apply one of these transformations to any of the above functions (quadratics, cubics, reciprocals, sine, cosine, and tangent) and sketch the resulting graphs.
Given the graph of any function y = f(x), students should be able to sketch the graph resulting from one of these transformations.
已知任意函数y=f(x)图像,学生能够画出经任何一种变换后产生的图像。
学生应该能够将函数变换应用任何一个函数(一元二次函数、三次函数、反函数、正弦、余弦和正切函数),并能勾画草图。
理解简单一元三次函数、反函数,并且理解渐近线的含义。
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