AMC 8 2004 Problem 15
AMC8 2004 年第 15 题
四边形与多边形★★★☆☆
Thirteen black and six white hexagonal tiles were used to create the figure below. If a new figure is created by attaching a border of white tiles with the same size and shape as the others, what will be the difference between the total number of white tiles and the total number of black tiles in the new figure?
下图是由 13 块黑色瓷砖和 6 块白色瓷砖构成。若用同样大小和形状的若干块白色瓷砖在原来图形最外层再围成一圈，那么所形成的的新图形中，白色瓷砖的总个数和黑色瓷砖的总个数的差是多少？
- A.5
- B.7
- C.11
- D.12
- E.18
正确答案 · Correct Answer
C
解析 · Solution
Solution 1
The first ring around the middle tile has 6 tiles, and the second has 12. From this pattern, the third ring has 18 tiles. Of these, 6+18=24 are white and 1+12=13 are black, with a difference of 24-13 = 11.
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