1956 AMC 12 第 27 题
先试着解答 1956 AMC 12 第 27 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 1956 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。
27.
若三角形的一个角保持不变，而该角的两条夹边都加倍，则面积变为原来的：
If an angle of a triangle remains unchanged but each of its two including sides is doubled, then the area is multiplied by:
大于 倍
more than
答案：C
小提示：
使用由两边及其夹角求面积的公式
Use the area formula for two sides and their included angle
大提示：
两条边都加倍，会使它们的乘积乘以
Doubling both side factors multiplies their product by
解答：
若两条夹边为 和 ，保持不变的夹角为 ，则原面积为 。两条边都加倍后，面积为
因此，正确答案是 C。
If the included sides are and and their unchanged angle is the original area is After both sides are doubled, the area is
Thus, the correct answer is C.
其他年份的第 27 题
- 1950 AMC 12
- 1951 AMC 12
- 1952 AMC 12
- 1953 AMC 12
- 1954 AMC 12
- 1955 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
- 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
- 1976 AMC 12
- 1977 AMC 12
- 1978 AMC 12
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- 1983 AMC 12
- 1984 AMC 12
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- 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