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SAT官方每日一题:2011年10月13日

2012-03-04来源:互联网

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  2011年10月13日

  考试类型:Mathematics > Standard Multiple Choice

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

  In the figure above, the length of line A B is 2 times x and the length of line B C is 3 times x. If a point is chosen at random from line A C, what is the probability that the point will lie on line B C?

  A. 2 over 5

  B. 1 over 2

  C. 3 over 5

  D. 2 over 3

  E. 5 over 6

 

正确答案:C

解析:

The probability that a point chosen from line A C will lie on line B C is the ratio of the length of line B C to the length of line A C. The length of line A B is 2 times x and the length of line B C is 3 times x, so the length of line A C is 5 times x. Therefore, the ratio of the length of line B C to the length of line A C is (3 times x) over (5 times x) = 3 over 5.