1993 AMC 8 第 1 题

先试着解答 1993 AMC 8 第 1 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 1993 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。

1.

哪一对数的乘积不等于 3636?
Which pair of numbers does not have a product equal to 36?36?
{−4,−9}\{-4, -9\}
{−3,−12}\{-3, -12\}
{12,−72}\left\{\dfrac12, -72\right\}
{1,36}\{1, 36\}
{32,24}\left\{\dfrac32, 24\right\}
答案:C
知识点:分数
小提示:
把每一对中的两个数相乘,检查哪个乘积不是 3636
Multiply the two numbers in each pair and check which product is not 3636
大提示:
负数乘负数是正数;特别注意 12×(−72)\dfrac12 \times (-72) 的符号
A negative times a negative is positive, so watch the signs of 12×(−72)\dfrac12 \times (-72)
解答:
逐项检查:(−4)(−9)=36(-4)(-9) = 36,(−3)(−12)=36(-3)(-12) = 36,12×(−72)=−36\dfrac12 \times (-72) = -36,(1)(36)=36(1)(36) = 36,且 32×24=36\dfrac32 \times 24 = 36。
只有 12×(−72)=−36\dfrac12 \times (-72) = -36 不等于 3636。
所以正确答案是 C。
Checking each pair: (−4)(−9)=36,(-4)(-9) = 36, (−3)(−12)=36,(-3)(-12) = 36, 12×(−72)=−36,\dfrac12 \times (-72) = -36, (1)(36)=36,(1)(36) = 36, and 32×24=36.\dfrac32 \times 24 = 36.
Only 12×(−72)=−36\dfrac12 \times (-72) = -36 fails to equal 36.36.
Thus, the correct answer is C .
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