下载亿题库APP
联系电话:400-660-1360
请谨慎保管和记忆你的密码,以免泄露和丢失
请谨慎保管和记忆你的密码,以免泄露和丢失
小伙伴们,GRE考试大家复习的怎么样了呢?下面是帮考网分享的一些GRE考试数学部分的复习资料,一起来看看吧!
GRE数学每日一练:
一.Term
A product of coefficients and any number of variables with exponents is called a term. Terms that have the same variables with identical exponents for each variables are called like terms.
Example:
3x,axy,4x2yz are terms. 3x+2 is not term: it is a sum of two terms.
3x2y and 7x2y are like terms since both have the same variables x and y with identical exponents: 2 for x and 1 for y.
Remember:
There cannot be any addition or subtraction in a single term.
Since multiplication is associative, rearrangements of variables does not change a term:3xy is same as 3yx.
3x2y and 7xyx are like terms.
GRE数学考点介绍:Conditional
Conditional
Probability of event A conditioned on the fact that event B has happened is called the conditional probability and written as P(AIB).
P(AIB)=Probability Both A and B happens/ Probability B happens.
Example:
A six-sided die with faces from 1 to 6 is rolled twice. What is the probability that the face 5 turned up on first try given that the sum of the two faces is 9?
P(sum of faces is 9)=4/36=1/9.
P(face 5 turns up on the first try and sum is 9)=(1/6)*(1/6)=1/36.
P(face 5 turned up on first try given sum is 9)=(1/36)*(1/9)=1/4
Remember:
If P(AIB)=P(A),then two events A and B are independent, that is occurrence of one does not influence the other
二、概率考点分析
1、等概基本事件组
满足下列二条性质的n个随机事件A1,A2,─ An 被称为"等概基本事件组":
⑴ A1,A2,─ An发生的机会相等;
⑵ 在任一实验中,A1,A2,─ An 中只有一个发生。等概基本事件组中的任一随机事件Ai(i=1,2, ─,n)称为"基本事件"。如果事件B是由等概念基本事件组A1,A2,─ An 的m个基本事件构成,则事件B的概率P(B)=m/n,这种讨论事件概率的模型称为"古典概型"。
PS:排列组合结合概率中的"古典概率"就可以解决几乎所有的GRE数学概率问题,但要灵活应用,而且很多题目看起来像概率题实际上它就是各抽屉原理(6个球放到5个抽屉里则至少有一个抽屉里有两个或更多的球),就让你比较和1的大小,当然是相等。
2、正态分布
高斯分布(Gaussian)(正态分布)的概率密度函数为一钟型曲线,即a为均值, 为标准方差,曲线关于x=a的虚线对称, 决定了曲线的"胖瘦"。
3、Factoring Polynomial
A general polynomial x2+ax+b can be factored if a=(c+d)and b=c*d for some integers c and d. In that case, x2+ax+b=(x+c)(x+d).
Example:
x2+3x+2=x2+(2+1)x+(2*1)=(x+2)(x+1).
x2-3x+2=x2+(2-1)x+(-2)*(-1)=(x-2)(x-1).
Remember:
Be careful about the signs.
When factoring polynomial,first factor out any common factor.
3、Roots of Polynomial
The number c is a root of a polynomial p(x), if p(c)=0.
An n-th order polynomial has n complex roots.
Example:
2 is a root of polynomial p(x)=x-2,since p(2)=2-2=0.
1 is a root of polynomial p(x)=x2-3x+2,since p(1)=12-3*1+2=0.
Remember:
A polynomial may not have any real root:p(x)=x2+1 does not have any real root, since p(x)>=1 for all real x.
好了,以上就是今天分享的全部内容了,各位小伙伴根据自己的情况进行查阅,希望本文对各位有所帮助,预祝各位取得满意的成绩,如需了解更多相关内容,请关注帮考网!
GRE考试有几种类型?:GRE考试有几种类型?GRE考试分两种(平常所说GRE考试都是指General test):一般能力或称倾向性测验(General test或Aptitude Test;专业测验或称高级测验(Subject。Test或Advanced Test)
GRE考试一般要准备多久?:GRE考试一般要准备多久?这个因人而异。如果已经考过托福基础比较好的话,复习一两个月也能考到比较满意的分数。如果基础不是很好,就得集中时间大量突破,兵贵速不贵久。GRE的战线拖得太长也不好,后期会很疲累,一般来说六至八个月可以了,后面多加两个月可以增加信心分。
GRE考试适用范围是什么?:GRE Graduate Record Exam)适用于除了法律(需参加LSAT考试)与商业(需参加GMAT考)以外的各种学科与专业的研究生考试。