2. 外语
  3. The following data sufficiency problems consist of a question and two statements, labeled (1) and (2), in which certain data are

The following data sufficiency problems consist of a question and two statements, labeled (1) and (2), in which certain data are

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问题 The following data sufficiency problems consist of a question and two statements, labeled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements plus your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of counterclockwise), you must indicate whether
   Ａ.  Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
   Ｂ.  Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
   Ｃ.  BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
   Ｄ.  EACH statement ALONE is sufficient.
   Ｅ.  Statements (1) and (2) TOGETHER are NOT sufficient.
Is the triangle depicted above isosceles? (Figure not necessarily drawn to scale.)
   (1) 180°-(a+c)=60°
   (2) a=2b-c
选项
答案E
解析 A triangle is isosceles if two of its angles are equal. (1) tells us that (a+c)=120°, which is not sufficient to prove whether or not the triangle is isosceles. (2) can be altered to (a+c)=2b, which is not sufficient to prove whether or not the triangle is isosceles. If the two are combined, we have 2b=120°, and therefore b=60°. Knowing the measure of one angle is still insufficient, since a could equal 59° and c could equal 61°, so the question remains unresolved.
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