数学
一道SAT数学题,求完整解题思路Three integers have a sum of 7 and a product of 0.If the difference of the greatest number and the least number is 11,then the least of these numbers is(A) -18 (B) -11 (C) -9 (D) -2 (E)0书上答案是(C),

2019-05-23

一道SAT数学题,求完整解题思路
Three integers have a sum of 7 and a product of 0.If the difference of the greatest number and the least number is 11,then the least of these numbers is
(A) -18 (B) -11 (C) -9 (D) -2 (E)0
书上答案是(C),
优质解答
答案错了,选D才对
三个整数,总和为7,乘积为0
如果最大数和最小数差11,那么最小数为
解析:
乘积为0,故必有一数为0,不妨设c=0,而总和a+b+c=7,即a+b=7
差a-b=11
解这两个方程,得到a=9,b=-2
答案错了,选D才对
三个整数,总和为7,乘积为0
如果最大数和最小数差11,那么最小数为
解析:
乘积为0,故必有一数为0,不妨设c=0,而总和a+b+c=7,即a+b=7
差a-b=11
解这两个方程,得到a=9,b=-2
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