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# SAT数学的内容

SAT 数学的内容 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） 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 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 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 interpretation (tables and graphs) Descriptive statistics (mean, median, and mode) Probability

Number and Operation

Algebra and Functions

Geometry and Measurement

Data Analysis, Statistics, and Probability

1． 正确理解题意。这就要求做到以下两点：一个是熟知基本数学用语的英文单词； 另一个是熟悉英语数学试题的表述方法。 2． 牢记防止粗心大意的三个要点：

2. If(x -2)2 =49, then x could be (A) -9 (B) -7 (C) 2 (D) 5 (E) 9

3. If this page was folded along the dotted line in the figure above, the left half of the letter W would exactly coincide with the right half of W. Which of the following letters, as shown, CANNOT be folded along a vertical line so that its left half would coincide with its right half? (A) A (B) I (C) O (D) U (E) E

4. In a certain store, the regular price of a refrigerator is \$600. How much money is saved by buying this refrigerator at 20 percent off the regular price rather than buying it on sale at 10 percent off the regular price with an additional discount of 10 percent off the sale price? (A) \$6 (B) \$12 (C) \$24 (D) \$54 (E) \$60

5. Which of the following is the graph of a function f such that f(x) = 0 for exactly two values of x between -5 and 5 ? (A) (C) (B) (D)

(E)

6. Based on the portions of the graphs of the functions f and g shown above, what are all values of x between -6 and 6 for which g x f x ? (A) -6 < x <-3 only (B) -3 < x < 0 only (C) 0 < x < 3 only

(D) 3 < x < 6 only (E) -6 < x < -3 and 0 < x < 3

. 7. Point O is the center of both circles in the figure above. If the circumference of the large circle is 36 and the radius of the small circle is half of the radius of the large circle, what is the length of the darkened arc? (A) 10 (B) 8 (C) 6 (D) 4 (E) 2

8. If x = 20 and y = 30 in the figure above, what is the value of z ? (A) 60 (B) 70 (C) 80 (D) 90 (E) 100

9. If 6 < |x-3| < 7 and x < 0, what is one possible value of | x| ?

10. What is the product of the smallest prime number that is greater than 50 and the greatest prime number that is less than 50 ?

2．答案 1.(C), 2. (E), 3. (E), 4.（A）, 5.(D), 6. (B), 7. (D), 8. (B), 9.x < 4, 10.1300

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