2017 AMC12A 真题

2017 AMC12A

Problem 1

Pablo buys popsicles for his friends. The store sells single popsicles for $1 each, 3-popsicle boxes for $2, and 5-popsicle boxes for $3. What is the greatest number of popsicles that Pablo can buy with $8?

Pablo 给他的朋友买棒冰，商店单根棒冰卖 美元一根， 盒 根棒冰每盒卖 美元， 盒 1 1 3 2 1 5 根棒冰每盒卖 美元， 3 Pablo 有 美元，最多可以买多次根棒冰？ 8

Problem 2

The sum of two nonzero real numbers is 4 times their product. What is the sum of the reciprocals of the two numbers?

两个非零实数的和是它们乘积的 倍，问这 个数的倒数之和是多少？ 4 2

Problem 3

Ms. Carroll promised that anyone who got all the multiple choice questions right on the upcoming exam would receive an A on the exam. Which one of these statements necessarily follows logically?

Carroll 女士承诺任何人只要在即将到来的考试中做对所有的选择题，此次考试就能得到一个 A ，由此，下面哪句话在逻辑上是对的？

• (A) If Lewis did not receive an A ， then he got all of the multiple choice questions wrong ｜如果 Lewis 没有得到 ，那么他的所有选择题做的都是错的。 A
• (B) If Lewis did not receive an A ， then he got at least one of the multiple choice questions wrong. ｜如果 Lewis 没有得到 ，那么他至少有一道选择题做的是错的。 A
• (C) If Lewis got at least one of the multiple choice questions wrong,then he did not receive an A. ｜ 如果 Lewis 至少有一个选择题做错了，那么他就得不到 A.
• (D) If Lewis received an A ， then he got all of the multiple choice questions right . ｜ 如果 Lewis 得到一个 ，那么他所有的选择题都做对了 A .
• (E) If Lewis reccived an A,then he got at least one of the multiple choice questions right. ｜如果 Lewis 得到一个 ，那么他至少做对了一道选择题。 A