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2013年8月26日SAT官方每日一题---数学选择

  下面是2013年8月26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。大家和无忧小编一起来看一下这个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.

  

8-26-2013-M37909.png

 

  The circle shown above has centerOand a radius of length5. If the area of the shaded region is20 times pi, what is the value ofx?

  (A)18

  (B)36

  (C)45

  (D)54

  (E)72

  The correct answer is A

  Explanation

  In order to find the value ofx, you should first determine the measure of the angle that is located at pointOin the right triangle. To determine this angle, you must calculate what fraction of the circle’s area is unshaded. The radiusrof the circle is5and its area ispi times r^2, or25 times pi. The area of the shaded region is20 times pi, so the area of the unshaded region must be5 times pi. Therefore, the fraction of the circle’s area that is unshaded is(5 times pi) over (25 times pi), or1 over 5. A circle contains a total ofthree hundred and sixtydegrees of arc, which means that1 over 5of360degrees, or72degrees, is the measure of the angle at pointOin the unshaded region. Since you now know that two of the three angles in the triangle measure72degrees and90degrees and that the sum of the measures of the three angles is always180degrees, the third angle must measure18degrees. Therefore,x = 18.

  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:

graphic

 

  The bar graph above shows the number of people in attendance at each of the four meetings of the Maple Street Block Association that were held in 2011. Only members of the Block Association can attend the meetings, and no members joined or left the Block Association during 2011. Based on the bar graph, what is the least number of members the Maple Street Block Association could have had in 2011?

  (A) 61

  (B) 65

  (C) 67

  (D) 72

  (E) 268

  The correct answer is D

  Explanation

  The highest attendance was at the spring 2011 meeting, which had 72 people attending. Since only members can attend the meetings, these 72 people must have been members of the Maple Street Block Association; thus, there must have been at least 72 members of the Block Association. If the 65, 61 and 70 people who attended the winter, summer and autumn meetings, respectively, were all among the 72 people who attended the spring meeting, then the Block Association could have had as few as 72 members in all. Therefore, based on the bar graph, the least number of members the Maple Street Block Association could have had in 2011 is 72.

  以上就是关于2013年8月26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。