2014 AMC 8 第 16 题
先试着解答 2014 AMC 8 第 16 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 2014 AMC 8 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。
16.
“Middle School Eight” 篮球联盟有 支球队。每个赛季，每支球队与联盟中其他每支球队各打两场比赛（一主一客），并且每支球队还与非联盟对手打 场比赛。一个赛季中涉及 “Middle School Eight” 球队的比赛总数是多少？
The “Middle School Eight” basketball conference has teams. Every season, each team plays every other conference team twice (home and away), and each team also plays games against non-conference opponents. What is the total number of games in a season involving the “Middle School Eight” teams?
答案：B
小提示：
将非联盟比赛与联盟内部比赛分开统计
Count non-conference games separately from conference games.
大提示：
对联盟比赛，统计每支球队对其他七队的主场比赛
For conference games, count each team’s home games against the other seven teams.
解答：
每支球队有 场非联盟比赛，所以涉及 Middle School Eight 球队与非联盟对手的比赛有 场。
联盟内部，这 支球队中的每支都有 场对阵其他球队的主场比赛，所以联盟比赛有 场。总数为 。
所以正确答案是 B。
Each team plays non-conference games, for games involving Middle School Eight teams and non-conference opponents.
Within the conference, each of the teams has home games against the other teams, so there are conference games. The total is .
Thus, B is the correct answer.
其他年份的第 16 题
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- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
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