AMC 8 2013 Problem 24

AMC8 2013 年第 24

面积与周长(综合)★★★★
Squares ABCD, EFGH, and GHIJ are equal in area. Points C and D are the midpoints of sides IH and HE, respectively. What is the ratio of the area of the shaded pentagon AJICB to the sum of the areas of the three squares?
正方形 ABCD,EFGH 和 GHIJ 的面积都相等。点 C 和点 D 分别是边 IH 和 HE 的中点。那么阴影部分五边形 AJICB 的面积和三个正方形面积总和的比值是多少?
AMC 8 2013 Problem 24 figure
  1. A.14\displaystyle \hspace{.05in}\frac{1}{4}
  2. B.724\displaystyle \hspace{.05in}\frac{7}{24}
  3. C.13\displaystyle \hspace{.05in}\frac{1}{3}
  4. D.38\displaystyle \hspace{.05in}\frac{3}{8}
  5. E.512\displaystyle \hspace{.05in}\frac{5}{12}

正确答案 · Correct Answer

C

解析 · Solution

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