SAT數(shù)學(xué)解析:考試內(nèi)容
美國教育考試服務(wù)中心(ETS)明確規(guī)定了SAT數(shù)學(xué)試題的出題范圍。表5-1-2是它的英文原文,表5-1-3是它的譯文。盡管表中提到了一些嚇人的字 眼,如數(shù)論,概率,統(tǒng)計(jì),集合,想象題等,實(shí)際上是一些初級(jí)的的知識(shí),國內(nèi)高中學(xué)到的內(nèi)容是足夠的了,無需特別補(bǔ)學(xué)這些知識(shí)。至于其他內(nèi)容,對(duì)中國學(xué)生來 說更是小菜一碟,不在話下。由此可見就內(nèi)容而言,中國學(xué)生所掌握的知識(shí)足以應(yīng)對(duì)SAT數(shù)學(xué)考試,故在此不再贅言。
表5-1-2 SAT數(shù)學(xué)考試的出題范圍(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數(shù)學(xué)考試的出題范圍(中文)
數(shù)和運(yùn)算
算數(shù)應(yīng)用題(包括百分?jǐn)?shù),比率和比例)
整數(shù)性質(zhì)(偶數(shù),奇數(shù),質(zhì)數(shù),整除性等等)
有理數(shù)
集合(合集,交集,元素)
計(jì)數(shù)技術(shù)
數(shù)列和級(jí)數(shù)(包括幾何增長(zhǎng))
數(shù)論初步
代數(shù)和函數(shù)
指數(shù)的性質(zhì)
代數(shù)應(yīng)用題
求解線性方程和線性不等式
方程組和不等式組
一元二次方程
有理和無理方程
直線方程
絕對(duì)值
變量的正反關(guān)系
代數(shù)函數(shù)的概念
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