1958 AMC 12 第 26 题
先试着解答 1958 AMC 12 第 26 题，然后核对你的答案与精心整理的解答，解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 1958 AMC 12 解答，或核对答案。
所有题目均经美国数学协会（MAA）官方合法授权使用。
26.
一组 个数的和为 。将每个数先加 ，再乘 ，最后减 。所得新一组数的和为：
A set of numbers has the sum Each number of the set is increased by then multiplied by and then decreased by The sum of the numbers in the new set thus obtained is:
小提示：
对原数中的一个一般项 依次执行三步运算
Apply all three operations to a typical original number
大提示：
化简变换后的数，再对全部 项求和
After simplifying the transformed number, sum over all entries
解答：
原数 变为 因而对原来的 个数求和可得
所以正确答案为 B。
An original number becomes Summing over the original numbers therefore gives
Thus, the correct answer is B.
其他年份的第 26 题
- 1950 AMC 12
- 1951 AMC 12
- 1952 AMC 12
- 1953 AMC 12
- 1954 AMC 12
- 1955 AMC 12
- 1956 AMC 12
- 1957 AMC 12
- 1959 AMC 12
- 1960 AMC 12
- 1961 AMC 12
- 1962 AMC 12
- 1963 AMC 12
- 1964 AMC 12
- 1965 AMC 12
- 1966 AMC 12
- 1967 AMC 12
- 1968 AMC 12
- 1969 AMC 12
- 1970 AMC 12
- 1971 AMC 12
- 1972 AMC 12
- 1973 AMC 12
- 1974 AMC 12
- 1975 AMC 12
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- 1977 AMC 12
- 1978 AMC 12
- 1979 AMC 12
- 1980 AMC 12
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- 1987 AMC 12
- 1988 AMC 12
- 1989 AMC 12
- 1990 AMC 12
- 1991 AMC 12
- 1992 AMC 12
- 1993 AMC 12
- 1994 AMC 12
- 1995 AMC 12
- 1996 AMC 12
- 1997 AMC 12
- 1998 AMC 12
- 1999 AMC 12