1965 AMC 12 第 17 题
先试着解答 1965 AMC 12 第 17 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 1965 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。
17.
已知命题“只有当天气不好时，星期日的野餐才不会举行”为真。由此可推出：
Given the true statement: The picnic on Sunday will not be held only if the weather is not fair. We can then conclude that:
如果野餐举行，那么星期日的天气一定 晴朗。
If the picnic is held, Sunday’s weather is undoubtedly
fair.
如果野餐不举行，那么星期日的天气可能 不好。
If the picnic is not held, Sunday’s weather is possibly
unfair.
如果星期日天气不好，野餐就不会举行。
If it is not fair Sunday, the picnic will not be held.
如果星期日天气晴朗，野餐可能举行。
If it is fair Sunday, the picnic may be held.
如果星期日天气晴朗，野餐就会 举行。
If it is fair Sunday, the picnic will be
held.
答案：E
小提示：
将“只有在 时才 ”写成
Translate “ only if ” as
大提示：
对“未举行蕴含天气不好”取逆否命题
Take the contrapositive of “not held implies not fair”
解答：
该命题的含义是：如果野餐没有举行，那么天气不好。它的逆否命题是：如果天气晴朗，那么野餐会举行。
因此，正确答案是 E。
The statement says: if the picnic is not held, then the weather is not fair. Its contrapositive is: if the weather is fair, then the picnic will be held.
Therefore, the correct answer is E.
其他年份的第 17 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
- 1958 AMC 12
- 1959 AMC 12
- 1960 AMC 12
- 1961 AMC 12
- 1962 AMC 12
- 1963 AMC 12
- 1964 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
- 1976 AMC 12
- 1977 AMC 12
- 1978 AMC 12
- 1979 AMC 12
- 1980 AMC 12
- 1981 AMC 12
- 1982 AMC 12
- 1983 AMC 12
- 1984 AMC 12
- 1985 AMC 12
- 1986 AMC 12
- 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
- 2000 AMC 12
- 2001 AMC 12
- 2002 AMC 12A
- 2002 AMC 12B
- 2003 AMC 12A
- 2003 AMC 12B
- 2004 AMC 12A
- 2004 AMC 12B
- 2005 AMC 12A
- 2005 AMC 12B
- 2006 AMC 12A
- 2006 AMC 12B
- 2007 AMC 12A
- 2007 AMC 12B
- 2008 AMC 12A
- 2008 AMC 12B
- 2009 AMC 12A
- 2009 AMC 12B
- 2010 AMC 12A
- 2010 AMC 12B
- 2011 AMC 12A
- 2011 AMC 12B
- 2012 AMC 12A
- 2012 AMC 12B
- 2013 AMC 12A
- 2013 AMC 12B
- 2014 AMC 12A
- 2014 AMC 12B
- 2015 AMC 12A
- 2015 AMC 12B
- 2016 AMC 12A
- 2016 AMC 12B
- 2017 AMC 12A
- 2017 AMC 12B
- 2018 AMC 12A
- 2018 AMC 12B
- 2019 AMC 12A
- 2019 AMC 12B
- 2020 AMC 12A
- 2020 AMC 12B
- 2021 AMC 12A Spring
- 2021 AMC 12B Spring
- 2021 AMC 12A Fall
- 2021 AMC 12B Fall
- 2022 AMC 12A
- 2022 AMC 12B
- 2023 AMC 12A
- 2023 AMC 12B
- 2024 AMC 12A
- 2024 AMC 12B
- 2025 AMC 12A
- 2025 AMC 12B