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.) |
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Rational numbers |
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Sets (union, intersection, elements) |
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Counting techniques |
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Sequences and series (including exponential growth) |
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Elementary number theory |
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Algebra and Functions |
Properties of exponents |
Algebraic word problems |
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Solutions of linear equations and inequalities |
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Systems of equations and inequalities |
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Quadratic equations |
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Rational and radical equations |
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Equations of lines |
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Absolute value |
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Direct and inverse variation |
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Concepts of algebraic functions |
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Geometry and Measurement |
Area and perimeter of a polygon |
Area and circumference of a circle |
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Volume of a box, cube, and cylinder |
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Pythagorean Theorem and special properties of isosceles, equilateral, and right triangles |
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Properties of parallel and perpendicular lines |
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Coordinate geometry |
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Geometric visualization |
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Slope |
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Similarity |
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Transformations |
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Data Analysis, Statistics, and Probability |
Data interpretation (tables and graphs) |
Descriptive statistics (mean, median, and mode) |
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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) |
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有理数 |
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集合(合集,交集,元素) |
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计数技术 |
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数列和级数(包括几何增长) |
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数论初步 |
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代数和函数 |
指数的性质 |
代数应用题 |
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求解线性方程和线性不等式 |
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方程组和不等式组 |
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一元二次方程 |
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有理和无理方程 |
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直线方程 |
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绝对值 |
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变量的正反关系 |
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代数函数的概念 |
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几何和测量 |
多边形的面积和周长 |
园的面积和周长 |
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立方体,正方体和圆柱体的体积 |
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勾股定理和等腰,等边,直角三角形的性质 |
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平行线,垂直线的性质 |
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解析几何初步 |
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几何想象题 |
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斜率 |
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相似 |
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转换 |
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数据分析,统计和概率 |
数据描述(表和图) |
统计知识(平均值,中位值,众数) |
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概率 |