SAT数学练习题4道(附答案).

　　下面为大家整理的是4道SAT数学练习题的内容，后面都附有详细的答案解析。SAT数学考试是非常注重对考生实际运用知识点能力的考察的，所以大家在备考的时候，一定要多加练习才行。下面我们来看看详细内容吧。

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　　Read the following SAT test question and then click on a button to select your answer.

　　1.If is a number from Column and is a number from Column in the table above, how many different values are possible for ?

　　(A) Nine

　　(B) Eight

　　(C) Seven

　　(D) Six

　　(E) Five

　　Read the following SAT test question and then click on a button to select your answer.

　　2.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 , and no two games had the same attendance, what is the greatest possible value for ?

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　Read the following SAT test question and then click on a button to select your answer.

　　3.In the figure above, inscribed triangleis equilateral. If the radius of the circle is, then the length of arcis

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　Read the following SAT test question and then click on a button to select your answer.

　　4.In the figure above, O is the center of the circle and triangle A B O is equilateral. If the sides of triangle A B O are of length 6, what is the length of line B C?

　　(A) 3 times square root 3

　　(B) 4 times square root 3

　　(C) 6 times square root 3

　　(D) 9

　　(E) 12

　　Explanation

　　1.The correct answer is E

　　First let equal the first value from Column , that is, . Then add to each of the three values of in Column as follows: , , and . Repeat this process for , for which the possible values of are , , and ; and repeat it again for , for which the possible values of are , , and . If you compare these nine values, you see that , , , , and are the onlydifferent possible values of the sums ; therore, there are five different values possible for .

　　2.The correct answer is B

　　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:

　　Thus, if is less than or equal to , the list of the numbers in increasing order will be

　　In either case, the median will be . However, if is greater than , the list of numbers in increasing order will beor or

　　In these cases, the median will be either or . Since you know that the median is , it must be true that is less than or equal to . Also, since no two games had the same attendance, the number cannot be equal to . Therore, the greatest possible value of is .

　　3.The correct answer is A

　　An equilateral triangle has three equal sides, so the lengths of the three arcs must be equal, and thus each arc isof the circumference of the circle. The circumference of the circle is, so the length of arcisof, or.

　　4.The correct answer is C

　　Choice (C) is correct. Since triangle A B O is equilateral, each of its angles has measure

　　60 degrees. It follows that angle B O C has measure 120 degrees. Since line O B and line O C are radii of the same circle, they are of equal length, and so delta O C B is isosceles. Hence angle O B C and angle O C B each have measure 30 degrees. Thus angle A B C has measure 60 degrees + 30 degrees = 90 degrees, and so triangle A B C is a 30 degrees minus 60 degrees minus 90 degrees right triangle. Since line A B, the side opposite the 30 degrees angle in triangle A B C, is of length 6, it follows that line B C, the side opposite the 60 degrees angle, is of length 6 times square root 3

　　以上就是这8道SAT数学练习题及答案的详细内容，包括了一些常见的知识点。大家可以在备考的时候，对此加以适当的练习和应用，测试自己在数学方面知识点的掌握情况，以便及时调整自己的备考方案，提高备考的效率。

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