下面是八道SAT数学练习题的内容，包括了答案解析。SAT数学练习题是大家熟悉SAT数学考试出题方式和思考方向最重要的途径，下面我们一起来看看这两道SAT数学练习题的具体内容吧，看看有哪些可取之处。更多SAT备考资料请点击

　　1.If, which of the following must be true?

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　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　2.In triangle , the length of side is and the length of side is . Which of the following could be the length of side ?

　　Answer Choices

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　3.In the figure above, a shaded circle with diameteris tangent to a large semicircle with diameterat pointsand. Pointis the center of the semicircle, andis perpendicular to. If the area of the large semicircle is 24, what is the area of the shaded circle?

　　(A) 8

　　(B) 10

　　(C) 12

　　(D) 14

　　(E) It cannot be determined from the information given.

　　4.Ten cars containing a total ofpeople passed through a checkpoint. If none of these cars contained more thanpeople, what is the greatest possible number of these cars that could have contained exactlypeople?

　　Answer Choices

　　(A) One

　　(B) Two

　　(C) Three

　　(D) Four

　　(E) Five

　　,,,,, ...

　　5.The first term of the sequence above is. Which of the following could be the formula for finding theterm of this sequence for any positive integer?

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　6.The quadratic functionis graphed in the-plane above. If　for all values of, which of the following could be the coordinates of point?

　　Answer Choices

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　7.In the xy-plane, line passes through the pointsand. Lineis perpendicular to line. What is the slope of line?

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　8.A group of workers can harvest all the grapes from square meters of a vineyard in minute. At this rate, how many minutes will the group need to harvest all the grapes from square meters of this vineyard?

　　Answer Choices

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　Explanation

　　1.The correct answer is C

　　Squaring both sides of the equationgives the equation. Subtractingfrom both sides now gives, or.

　　2.The correct answer is D

　　By the Triangle Inequality, the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side. Therore, , or . Thus, , which eliminates options (A), (B), and (C). Also by the Triangle Inequality, , or , which eliminates choice (E). Therore, of the given choices, only choice (D), , could be the length of side.

　　3.The correct answer is C

　　Segmentis a radius of the large semicircle, and it is also a diameter of the shaded circle, so the radius of the large semicircle is equal to twice the radius of the shaded circle. Letbe the radius of the shaded circle. Thenis the radius of the large semicircle, and so the area of the semicircle is. This area is given as, and so the area of the shaded circle is.

　　4.The correct answer is D

　　It could not be true that each of the ten cars contained exactlypeople, as this would give a total of only. If nine of the cars contained exactlypeople, the remaining car could have no more thanpeople, for a total of only. Continuing in the same way, a pattern develops. If eight of the cars contained exactlypeople, the remaining two cars could have no more thanpeople each, for a total of only. If seven of the cars contained exactlypeople, the total number of people could be only. From the pattern, you can see that if four of the cars contained exactlypeople, and the remaining six cars contained the maximum ofpeople, the total number would be, as given in the question. Therore, at most four of the ten cars could have contained exactlypeople.

　　5.The correct answer is B

　　You do not know the value of theterm or theterm of the sequence, but you do know the values of the,, andterms. The correct formula must giveas the value of theterm,as the value of theterm, andas the value of theterm. Choice E,, gives, not, as the value of theterm. Choice A,, gives, not, as the value of theterm. Choice C,, gives, not, as the value of theterm. Choice D,, gives, not, as the value of theterm. This leaves choice B,, which gives the correct values for the,, andterms of the sequence.

　　6.The correct answer is C

　　The fact thatfor all values ofmeans that the pointis the maximum of the quadratic function, somust be the vertex of the parabola. The parabola intersects the-axis at the pointsand, somust be halfway betweenand. Therore,. Of the choices, the only one with-coordinate equal tois. Therore,could be the coordinates of point.

　　7.The correct answer is B

　　Linepasses through the pointsand, so the slope of lineis equal to. Linesand m are perpendicular, so the slope of line m is equal to the negative reciprocal of the slope of line. Therore, the slope of line m is.

　　8.The correct answer is A

　　Since square meters is times square meters, times as much time is needed to harvest the grapes from the square meters of vineyard. minute , which equals minutes.

　　以上就是这八道SAT数学练习题的全部内容，后面的答案解析非常清晰详细。大家在备考SAT数学考试的时候，一定要以掌握解题的思路为备考的重点，对于知识点的补充要更加的全面，这样才能更好的迎接SAT数学考试。

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