下面是2012年8月10日的SAT官方每日一题的内容，是关于数学方面的，题型是选择。SAT官方每日一题是collegeboard每天都会发布的题目，关于SAT考试的三个部分的各个题型。下面我们就一起来看一下这个SAT官方每日一题吧。

　　SAT官方每日一题之数学---选择：

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　　Mathematics > Standard Multiple Choice

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

　　The sum, product, and average (arithmetic mean) of three integers are equal. If two of the integers areand, the third integer is

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　The correct answer is D

　　Explanation

　　You have three integers,,, and, whose sum, product, and average are equal. Sinceis one of the numbers, the product is. So the sum and average are also equal to. Therore,, and.

　　下面为大家提供一些和这些SAT官方每日一题相似的题目，供大家练习：

　　Of 5 employees, three are to be assigned an office and 2 are to be assigned a cubicle. If 3 of the employees are men and 2 are women, and if those assigned an office are to be chosen at random, what is the probability that the offices will be assigned to 2 of the men and 1 of the women?

　　(A) 1 over 3

　　(B) 2 over 5

　　(C) 1 over 2

　　(D) 3 over 5

　　(E) 2 over 3

　　The correct answer is D

　　Explanation

　　Of the 5 office workers, 3 are to be assigned an office. This is an example of combinations: to find the number of ways of choosing 3 of the 5 workers, you can count the number of ways of selecting the workers one at a time and then divide by the number of times each group of 3 workers will be repeated.

　　There are 5 ways of choosing the first worker to get an office. Then there will be 4 ways of choosing the second worker to get an office, and 3 ways of choosing the third worker. This is a total of 5 times 4 times 3 = 60 possibilities. In these 60 possible selections, each distinct group of 3 workers will occur 3 times 2 times 1 = 6 times. (There are 3 possibilities for the first worker chosen from the group, 2 for the second worker chosen, and only 1 for the third.) Therore, there are 60 over 6 = 10 different ways the 3 workers who get an office can be chosen from the 5 workers.

　　How many of these 10 possible groups of 3 workers consist of 2 men and 1 woman? From the 3 male workers, 2 can be chosen in 3 different ways. There are 2 possibilities for the female worker. Therore, 3 times 2 = 6 of the groups of 3 workers consist of 2 men and 1 woman.

　　Since there are 10 different ways the 3 workers who get an office can be chosen, and 6 of these possible groups of 3 workers consist of 2 men and 1 woman, the probability that the offices will be assigned to 2 men and 1 woman is 6 over 10, or 3 over 5.

　　以上就是关于2012年8月10日SAT官方每日一题中数学部分的详细内容，包括了题目和选项以及答案，后面附有一道相关的练习题。大家可以在备考SAT的过程中关注SAT每日一题的内容，这样就可以更好有不间断的练习，也就能在日积月累的过程中得到提高。

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