GRE数学易错题详细解析

2022-06-10 09:20:45

  

  1、if x is an integer and x2(x的平方)<37,what is the greatest possible value of x minus the least possible value of x?

  我觉得这道题x的最大值为6,最小值为0,所以选6.

  a.5 b.6 c.10 d.12 e.36

  选D,最大为6,最小为-6.

  2、三角形ABC,角B=X度,X>90 度,比较三角形的周长与3倍AC的长度的大小,答案是B

  AC是最大边,所以AB+BC+AC

  2.0

  比较the greatest value of p(1-p)与1/2的大小,答案是C

  答案错了,选B p+(1-p)>=2p(1-p)^1/2 => p(1-p)<=1/4 < 1/2

  3、for the line with equation y=ax+b,the x-intercept os twice the y-intercept

  比较the slope of the line 与1/2的大小,答案是D,但算出来是-1/2呀

  还有截距为零的情况,所以D.

  4、a certain moneymarket account that had a balance of $48000 during all of last monthearned $360 in interest for the month. at what simple annual interestrate did the account earn interest last month?

  答案是9%,题目没看懂

  意思是一个货币市场上个月共结余48000,用它赚了360的利息,问以年单利计算每年利率是多少?

  360*12/48000=9%

  5、Of the positive integers that are multiples of 30 and are less than or equal to 360,what fraction are multiples of 12?

  a.1/6 b.1/5 c.1/3 d.2/5 e.1/2

  首先这道题我是对multilples of ....不大明白,这是什么意思啊?其次这道题怎么解呢?

  在小于360的30的公倍数中,也是12的公倍数的占多少?30N≤360, 得N≤12,所以共有12个数满足题干.

  又12与30的最小公倍数为60,其实此题是求是60的倍数又小于等于360所占比例,同理求出为6

  所以,6/12=答案E

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