SAT数学解析:考试内容
美国教育考试服务中心(ETS)明确规定了SAT数学试题的出题范围。表5-1-2是它的英文原文,表5-1-3是它的译文。尽管表中提到了一些吓人的字 眼,如数论,概率,统计,集合,想象题等,实际上是一些初级的的知识,国内高中学到的内容是足够的了,无需特别补学这些知识。至于其他内容,对中国学生来 说更是小菜一碟,不在话下。由此可见就内容而言,中国学生所掌握的知识足以应对SAT数学考试,故在此不再赘言。
表5-1-2 SAT数学考试的出题范围(英文)
Number and Operation
Arithmetic word problems (including percent, ratio, and proportion)
Properties of integers (even, odd, prime numbers, divisibility, etc.)
Rational numbers
Sets (union, intersection, elements)
Counting techniques
Sequences and series (including exponential growth)
Elementary number theory
Algebra and Functions
Properties of exponents
Algebraic word problems
Solutions of linear equations and inequalities
Systems of equations and inequalities
Quadratic equations
Rational and radical equations
Equations of lines
Absolute value
Direct and inverse variation
Concepts of algebraic functions
Geometry and Measurement
Area and perimeter of a polygon
Area and circumference of a circle
Volume of a box, cube, and cylinder
Pythagorean Theorem and special properties of isosceles, equilateral, and right triangles
Properties of parallel and perpendicular lines
Coordinate geometry
Geometric visualization
Slope
Similarity
Transformations
Data Analysis, Statistics, and Probability
Data interpretation (tables and graphs)
Descriptive statistics (mean, median, and mode)
Probability
表5-1-3 SAT数学考试的出题范围(中文)
数和运算
算数应用题(包括百分数,比率和比例)
整数性质(偶数,奇数,质数,整除性等等)
有理数
集合(合集,交集,元素)
计数技术
数列和级数(包括几何增长)
数论初步
代数和函数
指数的性质
代数应用题
求解线性方程和线性不等式
方程组和不等式组
一元二次方程
有理和无理方程
直线方程
绝对值
变量的正反关系
代数函数的概念
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