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2011年2月18日SAT官方每日一题---数学选择

  下面是是2011年2月18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.

  For how many positive two-digit integers is the ones digit greater than twice the tens digit?

  A. 16 

  B. 20 

  C. 28 

  D. 32 

  E. 36 

  The correct answer is A

  Explanation

  The correct answer is (A). If the tens digit is 1, there are 7positive two-digit integers with the ones digit greater than twice the tens digit: 13 comma 14 comma 15 comma 16 comma 17 comma 18and 19. If the tens digit is 2, there are 5positive two-digit integers with the ones digit greater than twice the tens digit: 25, 26, 27, 28and 29. If the tens digit is 3, there are 3positive two-digit integers with the ones digit greater than twice the tens digit: 37, 38and 39. If the tens digit is 4, there is 1positive two-digit integer with the ones digit greater than twice the tens digit: . If the tens digit is equal to or greater than 5, then the ones digi

 

  下面是一道和SAT官方每日一题相似的题目,供大家练习:

  3, 6, 11,18, ... 

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

  Answer Choices

  (A) 2 times n 

  (B) (2 times n) + 1 

  (C) 3 times n 

  (D) n^2 + 1 

  (E) n^2 + 2 

  The correct answer is E

  Explanation

  If a formula gives the nth term of the sequence for all positive integers n, it must give the nth term of the sequence for n = 1 comma 2 comma 3 comma and 4. If n = 1, then 2 times n = 2and n^2 + 1 = 2, but the first term of the sequence is 3, so the general formula cannot be 2 times nor n^2 + 1. Also, if n = 3, then (2 times n) + 1 = 7and 3 times n = 9, but the third term of the sequence is 11, so the general formula cannot be (2 times n) + 1or 3n. However, for n = 1 comma 2 comma 3 comma and 4, the values of n^2 + 2are 3, 6, 11, 18, respectively. Therefore, the general formula for this sequence could be n^2 + 2.

  以上就是关于2011年2月18日SAT官方每日一题中数学选择的详细内容,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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