2. 外语
  3. Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given,

Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given,

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问题 Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given, and select one of the following four answer choices:
(A)Quantity A is greater.
(B)Quantity B is greater.
(C)The two quantities are equal.
(D)The relationship cannot be determined from the information given.
A symbol that appears more than once in a question has the same meaning throughout the question.

Quantity A   Quantity B
c             d
选项
答案A
解析 Note that if you draw a horizontal line segment from the point(c, d)to the y-axis, you form a 44°-46°-90° right triangle, with a horizontal leg of length |c| and a vertical leg of length \d\, as shown in the figure below.

In the triangle, the horizontal leg is opposite the 44° angle and the vertical leg is opposite the 46° angle. Since the 44° angle is smaller than the 46° angle, the length of the horizontal leg is less than the length of the vertical leg; that is, |c| < \d\. Since c and d are both negative, it follows that c> d. The correct answer is Choice A.
This explanation uses the following strategies.
Strategy 4: Translate from a Figure to an Arithmetic or Algebraic Representation
Strategy 6: Add to a Geometric Figure
Strategy 8: Search for a Mathematical Relationship
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本试题收录于： GRE QUANTITATIVE题库GRE分类
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