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下面為大家整理的是4道SAT數(shù)學(xué)練習(xí)題的內(nèi)容,后面都附有詳細(xì)的答案解析。SAT數(shù)學(xué)考試是非常注重對(duì)考生實(shí)際運(yùn)用知識(shí)點(diǎn)能力的考察的,所以大家在備考的時(shí)候,一定要多加練習(xí)才行。下面我們來看看詳細(xì)內(nèi)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
以上就是這8道SAT數(shù)學(xué)練習(xí)題及答案的詳細(xì)內(nèi)容,包括了一些常見的知識(shí)點(diǎn)。大家可以在備考的時(shí)候,對(duì)此加以適當(dāng)?shù)木毩?xí)和應(yīng)用,測試自己在數(shù)學(xué)方面知識(shí)點(diǎn)的掌握情況,以便及時(shí)調(diào)整自己的備考方案,提高備考的效率。
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