1985 AMC 8 第 25 题
先试着解答 1985 AMC 8 第 25 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 1985 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。
25.
桌上放着五张卡片。每张卡片一面有一个字母，另一面有一个整数。可见的面显示 、、、 和 。简说：“如果任意一张卡片的一面是元音字母，那么另一面就是偶数。”玛丽翻开一张卡片，证明简错了。玛丽翻开的是哪张卡片？
Five cards are lying on a table. Each card has a letter on one side and a whole number on the other side. The visible faces show and Jane said, “If a vowel is on one side of any card, then an even number is on the other side.” Mary showed Jane was wrong by turning over one card. Which card did Mary turn over?
小提示：
要否定这个规则，需要找到一张可能把元音字母和奇数配在一起的卡片
To disprove the rule, find a card that could hide a vowel paired with an odd number
大提示：
可见的没有元音字母（ 和 是辅音），所以要检查显示奇数的那张卡
No vowel is visible ( and are consonants), so the card to check is the one showing an odd number
解答：
要证明“元音字母必对应偶数”这个规则是错的，玛丽需要找到一张一面是元音字母、另一面是奇数的卡片。没有卡片显示元音字母，因为 和 是辅音。
唯一显示奇数的卡片是 。翻开它后露出元音字母，就会反驳简的说法。
所以正确答案是 A。
To show the rule “a vowel forces an even number” is false, Mary needs a card with a vowel on one side and an odd number on the other. No card shows a vowel, since and are consonants.
The only card showing an odd number is Turning it over reveals a vowel, which contradicts Jane’s claim.
Thus, the correct answer is A .
其他年份的第 25 题
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