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2011年10月28日SAT官方每日一题---数学选择

    下面是是2011年10月28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.

  The stopping distance of a car is the number of feet that the car travels after the driver starts applying the brakes. The stopping distance of a certain car is directly proportional to the square of the speed of the car, in miles per hour, at the time the brakes are first applied. If the car’s stopping distance for an initial speed of 20miles per hour is 17feet, what is its stopping distance for an initial speed of 40miles per hour? 

  Answer Choices

  (A) 34feet 

  (B) 51feet 

  (C) 60feet 

  (D) 68feet 

  (E) 85feet 

  The correct answer is D

  Explanation

  The stopping distance is directly proportional to the square of the initial speed of the car. If srepresents the initial speed of the car, in miles per hour, and drepresents the stopping distance, you have that the stopping distance is a function of sand that function d of s = c times (s^2), where cis a constant. Since the car’s stopping distance is 17feet for an initial speed of 20miles per hour, you know that 17 = c times 20^2. Therefore, c = 17 over 20^2 = 0.0425, and the car's stopping distance for an initial speed of 40miles per hour is 0.0425 times 40^2 = 68feet. 

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  下面是一道和SAT官方每日一题相似的题目,供大家练习:

  If kis divisible by 2, 3, and 15, which of the following is also divisible by these numbers? 

  Answer Choices

  (A) k + 5 

  (B) k + 15 

  (C) k + 20 

  (D) k + 30 

  (E) k + 45 

  The correct answer is D

  Explanation

  Difficulty: Medium

  Since kis divisible by 2, 3, and 15, kmust be a multiple of 30, as 30is the least common multiple of 2, 3, and 15. Some multiples of 30are 0, 30, 60, 90, and 120

  If you add two multiples of 30, the sum will also be a multiple of 30. For example, 60and 90are multiples of 30and their sum, 150, is also a multiple of 30

  If you add a multiple of 30to a number that is not a multiple of 30, the sum will not be a multiple of 30. For example, 60is a multiple of 30and 45is not. Their sum, 105, is not a multiple of 30

  The question asks which answer choice is divisible by 2, 3, and 15; that is, which answer choice is a multiple of 30. All the answer choices are in the form of "kplus a number." Only choice (D), k + 30, has kadded to a multiple of 30. The sum of kand 30is also a multiple of 30, so the correct answer is choice (D).

  以上就是关于2011年10月28日SAT官方每日一题中数学选择部分的详细内容,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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