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SAT官方每日一题:2011年8月26日

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  2011年8月26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, which quadrants contain pairs (x comma y) that satisfy the condition x over y = 1?

  A.

  B. roman numeral 1 and roman numeral 2 only

  C. roman numeral 1 and roman numeral 3 only

  D.

  E. roman numeral 1, roman numeral 2, roman numeral 3, and roman numeral 4

  正确答案:C

  解析:

  In order for (x comma y) to satisfy x over y = 1, it must be true that x and y are equal to each other and not equal to zero. An example of such a pair is (3 comma 3), which is in quadrant roman numeral 1.

  In quadrant roman numeral 2, all the x values are negative and all the yvalues are positive, so in quadrant roman numeral 2, x and y cannot be equal. For example, the pair (minus 3 comma 3) does not satisfy the condition, since , not .

  In quadrant roman numeral 3, the x values and the y values are both negative, so it is possible for x and y to be equal. For example, the pair (minus 3 comma minus 3) is in quadrant roman numeral 3 and minus 3 over minus 3 = 1.

  In quadrant roman numeral 4, x and y cannot be equal because the x values are positive and the y values are negative. For example, the pair (3 comma minus 3) does not satisfy the condition, since 3 over minus 3 = minus 1.

  The quadrants that contain pairs (x comma y) that satisfy the given condition are quadrants roman numeral 1 and roman numeral 3 only.