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2013年3月11日SAT官方每日一题---数学选择

  下面是2013年3月11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:

  Mathematics > Standard Multiple Choice

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

  8,a,14,b,20, ...

  The first term of the sequence above is8. Which of the following could be the formula for finding then thterm of this sequence for any positive integern?

  (A)(2 times n) + 6 

  (B)(3 times n + 5)

  (C)(5 times n) + 3 

  (D)(6 times n) + 2 

  (E)(6 times n) + 5 

  The correct answer is B

  Explanation

  You do not know the value of thesecondterm or thefourthterm of the sequence, but you do know the values of thefirst,third, andfifthterms. The correct formula must give8as the value of thefirstterm,14as the value of thethirdterm, and20as the value of thefifthterm. Choice E,(6 times n) + 5, gives11, not8, as the value of thefirstterm. Choice A,(2 times n) + 6, gives12, not14, as the value of thethirdterm. Choice C,(5 times n) + 3, gives18, not14, as the value of thethirdterm. Choice D,(6 times n) + 2, gives20  , not14, as the value of thethirdterm. This leaves choice B,(3 times n + 5), which gives the correct values for thefirst,third, andfifthterms of the sequence.

  下面是一道和SAT官方每日一题相似的题目,供大家练习:

  If the graph of the function function fin the x times y-plane contains the points (0 comma negative 9), (1 comma negative 4), and (3 comma 0), which of the following CANNOT be true? 

  Answer Choices

  (A) The graph of function fhas a maximum value. 

  (B) y less than or equal to 0for all points (x comma y)on the graph of function f

  (C) The graph of function fis symmetric with respect to a line. 

  (D) The graph of function fis a line. 

  (E) The graph of function fis a parabola. 

  The correct answer is D

  Explanation

  If the graph of the function function f, which contains the points (0 comma negative 9), (1 comma negative 4), and (3 comma 0), were a line, then the slope of the segment connecting the points (0 comma negative 9)and (1 comma negative 4)would be the same as the slope of the segment connecting the points (1 comma negative 4)and (3 comma 0). However, the slope of the segment connecting the points (0 comma negative 9)and (1 comma negative 4)is 5, and the slope of the segment connecting the points (1 commanegative 4)and (3 comma 0)is 2. Therefore, the graph of function fcannot be a line.

   The statements in the other four options could be true. For example, if the equation of function fwere y = minus (x minus 3)^2, then the graph of function fwould contain the points (0 comma minus 9), (1 comma minus 4), and (3 comma 0). The graph of function fwould be a parabola symmetric with respect to the line with equation x = 3. The maximum value of function fwould occur at the point (3 comma 0), and y less than or equal to 0would be true for all points (x comma y)on the graph of function f.

  以上就是关于2013年3月11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。