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1982年,美国举行了一次有83万中学生参加的全国性“初级学术能力测验”的考试,其中的一道试题是:有一个正三棱锥和一个正四棱锥,它们的棱长都相等。问它们重合一个侧面后,还有几个暴露面? 对这个问题,命题者和绝大多数考生都认为应有七个暴露面。因为两个棱锥分开共有九个暴露面,当其重合一个侧面后,有两个暴露面消失了,故还剩七个暴露面。
In 1982, the United States held a nationwide examination of the “Initial Academic Competency Test” with 830,000 middle school students. One of the questions was: There is a regular triangular pyramid and a regular quadrangular pyramid. Their rib lengths are equal. After asking them to coincide, there are still a few exposed faces. For this question, the propositioners and the vast majority of candidates think that there should be seven exposures. Because the two pyramids have a total of nine exposed faces, when they overlap one side, two exposed faces disappear, leaving seven exposed faces.