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4道SAT数学选择题练习

2013-10-15 15:26:47来源：互联网

　　参考答案及解析：

　　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:

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

　　In either case, the median will be. However, ifis greater than, the list of numbers in increasing order will be

　　or

　　or

　　In these cases, the median will be eitheror. Since you know that the median is, it must be true thatis less than or equal to. Also, since no two games had the same attendance, the numbercannot be equal to. Therefore, the greatest possible value ofis.

　　2.The correct answer is B

　　Explanation

　　You can rewriteas,as,as, andas, and then consider the five answer choices.

　　The first answer choice is equivalent tois less than. You know thatis less thanand thatis also less than, but the sum ofandmight not be less than. Since the question asks which statement must be true, the first answer choice is not the correct answer.

　　The second answer choice is equivalent tois less than. This statement must be true, becauseis less thanandis less than. Although there is no need to consider the other answer choices once you see that the second answer choice must be true, each of the remaining choices could be rewritten in the same way and you could see that they need not be true.

　　3.The correct answer is B

　　Explanation

　　The circles each have radius, so. Since the circles are tangent at point, segmentcontainsand. Also,andare perpendicular because a line tangent to a circle forms a right angle with the radius at the point of tangency. Therefore,is a right triangle with hypotenuseand sideof length. A right triangle with one side of length one-half that of its hypotenuse is atriangle. Theangle is opposite side, so.

　　4.The correct answer is B

　　Explanation

　　You can rewriteas,as,as, andas, and then consider the five answer choices.

　　The first answer choice is equivalent tois less than. You know thatis less thanand thatis also less than, but the sum ofandmight not be less than. Since the question asks which statement must be true, the first answer choice is not the correct answer.

　　The second answer choice is equivalent tois less than. This statement must be true, becauseis less thanandis less than. Although there is no need to consider the other answer choices once you see that the second answer choice must be true, each of the remaining choices could be rewritten in the same way and you could see that they need not be true.

　　以上就是关于4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。

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