2. 外语
  3. Solve the problem and indicate the best of the answer choices given. NUMBERS: All numbers used are real numbers. FIGURES:

Solve the problem and indicate the best of the answer choices given. NUMBERS: All numbers used are real numbers. FIGURES:

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问题    Solve the problem and indicate the best of the answer choices given.
   NUMBERS: All numbers used are real numbers.
   FIGURES: A figure accompanying a problem-solving question is intended to provide information useful in solving the problem. Figures are drawn as accurately as possible EXCEPT when it is stated in a specific problem that its figure is not drawn to scale. Straight lines may sometimes appear jagged. All figures lie in a plane unless otherwise indicated.
   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.  
The figure above shows the shape of a flowerbed. If arcs WZ and XY are semicircles and WXYZ is a square, what is the area of the flowerbed?
   (1) The perimeter of square WXYZ is 24.
   (2) The diagonal
选项
答案D
解析 alone is sufficient; if the perimeter of the square is 24, then the length of each side is 24/4=6, and the radius of each of the semicircles is 6/2=3. The area of the square is 6×6=36, and since the formula for the area of a circle is πr2, the area of the semicircles is 2×1/2[π(3×3)]=9π; 36+9π is the area of the flowerbed. (2) alone is sufficient; the side of a square is the diagonal divided by (this is derived from the Pythagorean theorem), so the sides are equal to 6; by following the same process used with statement (1), we can determine the area of the flowerbed.
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