新gre数学题求解

2022-06-05 04:41:09

     很多考生觉得GR数学越来越来。因此我们为大家整理了数学考试中一些新GRE内容:新gre数学题求解

  新gre数学题求解

  1---In triangle ABC, AB=AC=2, which of the following culd be the area of triangle ABC? Indicate all possible areas. A) 0.5 B) 1.0 C) 1.5 D)2.0 E) 2.5 F)3.0

  2---Each integer from 1 to 50 whose units digit is a 3 is written on a slip of paper and placed in a box. If two slips of paper are drawn at random, what is the probability that both numbers are prime? (答案是几分之几)

  3---A jar contains 20 marbles: 4 red, 6 white and 10 blue. If you remove one at a time, randomly, what is the minimum number that must be removed to be certain that you have at least 2 marbles of each colors?

  A) 6 B) 10 C) 12 D) 16 E) 18

  解答:

  1.由于三角形面积S=absinC/2;而本题的a=b=2,故S=2xsinC.又因为0<=sinC<=1;所以S的值应该是从0到2.所以本题的答案为A、B、C、D都选。

  2.本题是说1到50中各位为3的数放入盒中,随机抽出两个都为质数的概率。而3、13、23、33、43中只有33不是质数。抽出的两个数都是质数的情况(3,13)(3,23)(3,43)(13,23),(13,43)(23,43)(43,33)共4种。而情况总数(3,13)(3,23)(3,33)(3,43)(13,23)(13,33)(13,43)(23,33)(23,43)(33,43)共10种。因此所求概率为6/10=3/5

  3.本题答案为18.是说你从一个装有20个球的罐子里拿出至少多个球时你的手里才会至少有2红2白2蓝。显然答案为18.因为如果是17的话,那么你就有可能只拿到10个蓝的6个白的还有1个红的。这时就不满足2个红的条件了!类似的题目比如下面这题,答案为21.a jar containing 25 marbles: 9red, 6white and 10blue. if you remove one randomly at a time from the jar, what is the minimum number that must be removed to be certain that you have at least 1 red marble,2 white marbles and 3 blue marbles?

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