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  that satisfy the condition
 that satisfy the condition  ?
?
A.
  B.  and
 and  only
 only
  C.  and
 and  only
 only
D.
  E.  ,
,  ,
,  , and
, and 
正确答案:C
解析:
  In order for  to satisfy
 to satisfy  , it must be true that
, it must be true that  and
 and  are equal to each other and not equal to zero. An example of such a pair is
 are equal to each other and not equal to zero. An example of such a pair is  , which is in quadrant
, which is in quadrant  .
.
  In quadrant  , all the
, all the  values are negative and all the
 values are negative and all the  values are positive, so in quadrant
values are positive, so in quadrant  ,
,  and
 and  cannot be equal. For example, the pair
 cannot be equal. For example, the pair  does not satisfy the condition, since
 does not satisfy the condition, since  , not
, not  .
.
  In quadrant  , the
, the  values and the
 values and the  values are both negative, so it is possible for
 values are both negative, so it is possible for  and
 and  to be equal. For example, the pair
 to be equal. For example, the pair  is in quadrant
 is in quadrant  and
 and  .
.
  In quadrant  ,
,  and
 and  cannot be equal because the
 cannot be equal because the  values are positive and the
 values are positive and the  values are negative. For example, the pair
 values are negative. For example, the pair  does not satisfy the condition, since
 does not satisfy the condition, since  .
.
  The quadrants that contain pairs  that satisfy the given condition are quadrants
 that satisfy the given condition are quadrants  and
 and  only.
 only.
 
       
               
               
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