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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）
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Number and Operation |
Arithmetic word problems (including percent, ratio, and proportion) |
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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 |
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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 |
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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) |
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Descriptive statistics (mean, median, and mode) |
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Probability |
表5-1-3 SAT數(shù)學(xué)考試的出題范圍（中文）
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數(shù)和運(yùn)算 |
算數(shù)應(yīng)用題（包括百分?jǐn)?shù)，比率和比例） |
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整數(shù)性質(zhì)（偶數(shù)，奇數(shù)，質(zhì)數(shù)，整除性等等） |
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有理數(shù) |
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集合（合集，交集，元素） |
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計(jì)數(shù)技術(shù) |
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數(shù)列和級(jí)數(shù)（包括幾何增長(zhǎng)） |
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數(shù)論初步 |
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代數(shù)和函數(shù) |
指數(shù)的性質(zhì) |
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代數(shù)應(yīng)用題 |
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求解線性方程和線性不等式 |
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方程組和不等式組 |
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一元二次方程 |
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有理和無理方程 |
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直線方程 |
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絕對(duì)值 |
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變量的正反關(guān)系 |
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代數(shù)函數(shù)的概念 |
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幾何和測(cè)量 |
多邊形的面積和周長(zhǎng) |
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園的面積和周長(zhǎng) |
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立方體，正方體和圓柱體的體積 |
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勾股定理和等腰，等邊，直角三角形的性質(zhì) |
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平行線，垂直線的性質(zhì) |
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解析幾何初步 |
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幾何想象題 |
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斜率 |
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相似 |
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轉(zhuǎn)換 |
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數(shù)據(jù)分析，統(tǒng)計(jì)和概率 |
數(shù)據(jù)描述（表和圖） |
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統(tǒng)計(jì)知識(shí)（平均值，中位值，眾數(shù)） |
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概率 |
