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2020年GRE考试的数学部分复习资料分享03
帮考网校2020-09-08 13:39
2020年GRE考试的数学部分复习资料分享03

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"

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 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"

3Factoring 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.

3Roots 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.

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