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6道SAT数学选择题练习

  下面是为大家准备的2013年6月30日—7月12日的4道SAT考试数学选择题练习题。同学们在备考SAT数学的过程中,一定要加强习题的练习,熟练到能充分理解题意,争取得到满分。

  1.

3,6,11,18, ...

  The first four terms of a sequence are shown above. Which of the following could be the formula that gives thenth term of this sequence for all positive integersn?

  (A)2 times n

  (B)(2 times n) + 1

  (C)3 times n

  (D)(n^2) + 1

  (E)(n^2) + 2

  2.

math image

  If xis a number from Column Xand yis a number from Column Yin the table above, how many different values are possible for x + y

  (A) Nine

  (B) Eight

  (C) Seven

  (D) Six

  (E) Five

  3.Ifa minus b = b minus 3 = 6, what is the value ofa?

  (A)negative 3

  (B)6

  (C)9

  (D)15

  (E)18

  4.

math image

  The table above shows the attendance at the home games of the Central High School football team. If the median attendance for the five games was 456, and no two games had the same attendance, what is the greatest possible value for n

  (A) 400

  (B) 455

  (C) 457

  (D) 478

  (E) 549

  5.Triangle A B Cis isosceles, and the measure of angle Ais 74 degrees. What must be the measure of another angle of this triangle?

  (A) 32 degrees

  (B) 42 degrees

  (C) 53 degrees

  (D) 74 degrees

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

  6.

  

math image

 

  In the figure above, the circle with center Aand the circle with center Care tangent at point D. If the circles each have radius 10, and if line lis tangent to the circle with center Aat point B, what is the value of x?

  (A) 55

  (B) 60

  (C) 63

  (D) 65

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

  

  参考答案及解析:

  1.The correct answer is E

  Explanation

  If a formula gives thenth term of the sequence for all positive integersn, it must give thenth term of the sequence forn = 1 comma 2 comma 3 comma and 4. Ifn = 1, then2 times n = 2and(n^2) + 1 = 2, but the first term of the sequence is3, so the general formula cannot be2 times nor(n^2) + 1. Also, ifn = 3, then(2 times n) + 1 = 7and3 times n = 9, but the third term of the sequence is11, so the general formula cannot be(2 times n) + 1or3n. However, forn = 1 comma 2 comma 3 comma and 4, the values of(n^2) + 2are3,6,11,18, respectively. Therefore, the general formula for this sequence could be(n^2) + 2.

  2.The correct answer is E

  Explanation

  First let xequal the first value from Column X, that is, x=1. Then add 1to each of the three values of yin Column Yas follows: 1 + 4 = 5, 1 +5 = 6, and 1 +6 = 7. Repeat this process for x=2, for which the possible values of x + yare 6, 7, and 8; and repeat it again for x=3, for which the possible values of x + yare 7, 8, and 9. If you compare these nine values, you see that 5, 6, 7, 8, and 9are the onlydifferent possible values of the sums x plus y; therefore, there are five different values possible for x + y.

  3.The correct answer is D

  Explanation

  Both a minus b = 6and b minus 3 = 6. The equation a minus b = 6cannot be solved for abecause there are two unknowns. The value of bcan be found by solving the equation b minus 3 = 6for b. It follows that bmust equal 9. The value of bcan now be substituted into the equation a minus b = 6, giving a minus 9 = 6. Therefore, amust equal 15.

   4.The correct answer is B

  Explanation

  The median of five numbers can be found by putting the numbers in increasing order and picking the middle, or third, number from the list. Putting the four numbers you know in increasing order produces the following list:399 comma 456 comma 508 comma 550 

  Thus, if nis less than or equal to 456, the list of the numbers in increasing order will ben comma 399 comma 456 comma 508 comma 550 or 399 comma n comma 456 comma 508 comma 550 

  In either case, the median will be 456. However, if nis greater than 456, the list of numbers in increasing order will be399 comma 456 comma n comma 508 comma 550or 399 comma 456 comma 508 comma n comma 550or 399 comma 456 comma 508 comma 550 comma n 

  In these cases, the median will be either nor 508. Since you know that the median is 456, it must be true that nis less than or equal to 456. Also, since no two games had the same attendance, the number ncannot be equal to 456. Therefore, the greatest possible value of nis 455.

  5.The correct answer is E

  Explanation

  TriangleA B Cis isosceles, and the measure of angleAis74 degrees. Let the measure of angleBbeb degrees, and let the measure of angleCbec degrees. The sum of the measures of the angles of a triangle is180 degrees, so74 plus b plus c equals 180. An isosceles triangle has two angles of equal measure, sob equals 74, orc equals 74, orb equals c does not equal 74.

  Ifb equals 74, then74 plus 74 plus c equals 180, soc equals 32, and the measures of the angles of the triangle are74 degrees,74 degreesand32 degrees.

  Ifc equals 74, then74 plus b plus 74 equals 180, sob equals 32, and the measures of the angles of the triangle are74 degrees,32 degreesand74 degrees.

  Ifb equals c, then74 plus b plus c equals 74 plus (2 times b) equals 180, so2 times b equals 106, andb equals c equals 53. In this case, the measures of the angles of the triangle are74 degrees,53 degreesand53 degrees.

  Hence if the measure of angleAis74 degrees, the possible measures of anglesBandC, respectively, are74 degreesand32 degrees;32 degreesand74 degrees; and53 degreesand53 degrees. Therefore, it is not possible to determine what must be the measure of another angle of this triangle.

  6.The correct answer is B

  Explanation

  The circles each have radius 10, so A B = A D = D C = 10. Since the circles are tangent at point D, segment Line ACcontains Dand A C = 20. Also, line A Band lare perpendicular because a line tangent to a circle forms a right angle with the radius at the point of tangency. Therefore, triangle A B Cis a right triangle with hypotenuse 20and side line A Bof length 10. A right triangle with one side of length one-half that of its hypotenuse is a 30 degree-60 degree-90 degreetriangle. The 30 degreeangle is opposite side line A B, so x = 90 minus 30 = 60.

  以上就是关于6道SAT考试数学选择题练习题及其答案和解析,非常详细。同学们在备考阶段,一定要加强习题的练习以及题意的理解,争取SAT数学满分。