2017-08-08 311阅读
准备gre数学考试我们一定要在gre数学复习中把基础打牢靠,什么才是gre数学的基础呢?比如gre数学公式是大家一定要熟记于心的,澳际留学小编下面为大家分享一些关于算数的gre数学考点知识,供大家参考,希望可以帮助大家提高gre数学成绩。
GRE数学相当于中国高中数学的水平,对我国考生来说没有太大的问题,考生需要做得是不断巩固数学和语言基础,以防在最简单的部分出错。澳际留学小编下面为大家分享一下关于算数方面的gre数学考点,希望对您gre数学复习有所帮助。
1.Sum of Arithmetic Progression(等差数列求和)
The sum of n-numbers of an arithmetic progression is given by
S=nx*dn(n-1)/2
where x is the first number and d is the constant increment.
example:
sum of first 10 positive odd numbers:10*1+2*10*9/2=10+90=100
sum of first 10 multiples of 7 starting at 7: 10*7+7*10*9/2=70+315=385
remember:
For a descending AP the constant difference is negative.
2.AP(等差数列求平均数)
Average of n numbers of arithmetic progression (AP) is the average of the smallest and the largest number of them. The average of m number can also be written as x + d(m-1)/2.
Example:
The average of all integers from 1 to 5 is (1+5)/2=3
The average of all odd numbers from 3 to 3135 is (3+3135)/2=1569
The average of all multiples of 7 from 14 to 126 is (14+126)/2=70
remember:
Make sure no number is missing in the middle.
With more numbers, average of an ascending AP increases.
With more numbers, average of a descending AP decreases.
AP:numbers from sum
given the sum s of m numbers of an AP with constant increment d, the numbers in the set can be calculated as follows:
the first number x = s/m - d(m-1)/2,and the n-th number is s/m + d(2n-m-1)/2.
Example:
if the sum of 7 consecutive even numbers is 70, then the first number x = 70/7 - 2(7-1)/2 = 10 - 6 = 4.
the last number (n=m=7)is 70/7+2(2*7-7-1)/2=10+6=16.the set is the even numbers from 4 to 16.
Remember:
given the first number x, it is easy to calculate other numbers using the formula for n-th number: x+(n-1)
AP:numbers from average
all m numbers of an AP can be calculated from the average. the first number x = c-d(m-1)/2, and the n-th number is c+d(2n-m-1)/2, where c is the average of m numbers.
Example:
if the average of 15 consecutive integers is 20, then the first number x=20-1*(15-1)/2=20-7=13 and the last number (n=m=15) is 20+1*(2*15-15-1)/2=20+7=27.
if the average of 33 consecutive odd numbers is 67, then the first number x=67-2*(33-1)/2=67-32=35 and the last number (n=m=33) is 67+2*(2*33-33-1)/2=67+32=99.
Remember:
sum of the m numbers is c*m,where c is the average.
3.Sequence of Numbers(序列)
A sequence is a set of numbers that follow a fixed pattern.The fixed pattern can be expressed by an equation or by a property.
Example:
A set of consecutive integers: 1,2,3,4,5(Fixed gap)
A set of consecutive even numbers:4,6,8,10,12 (Fixed gap)
A set of consecutive prime: 2,3,5,7,11(Fixed gap)
A set of consecutive power of 2:4,8,16,32,64(Fixed gap)
Remember:
A sequence can be in ascending or descending order.
上面的信息就是澳际留学小编为大家介绍的一些关于算数的gre数学考点,大家在gre数学复习中可以参考学习下,希望对您提高gre数学成绩有所帮助,大家想了解更多信息请关注澳际留学,有问题可以咨询澳际在线顾问老师,我们竭诚为您解答。
澳际留学专家提醒大家:
澳际培训在国内首家推出专职“学习规划师”和“留学规划师”制度,对学生全程规划、全程跟踪,全程反馈。我们汇聚了国内外顶级名师,平均教学经验在5年以上,并实行八对一尊享服务——课程规划师,留学规划师,阅读教师,写作教师,听力教师,口语教师,语法教师,词汇教师等八位一体。完善的留学服务保证,整合了十年留学服务经验,让我们能将一流培训和申请服务全程有机结合。澳际50%学子都获得TOEFL 100和SAT 2000以上的分数。
澳际六步曲第二步考试指导具体服务项目如下:
1. 免费测评模考,分析申请人的问题,制作考试测评报告和备考指导
2. 结合申请人的申请目标和考试基础,制定考试整体规划及时间安排
3. 提供对申请人有帮助的考试经验和机经等
4. 根据需要提供免费口语模拟和指导服务
5. 免费修改作文4篇
6. 考前心理指导,调整考前心理状态
(注:口语模拟和作文修改服务提供时间为每年2月28日-8月1日)
Copyright 2000 - 2020 北京澳际教育咨询有限公司
www.aoji.cn All Rights Reserved | 京ICP证050284号
总部地址:北京市东城区 灯市口大街33号 国中商业大厦2-3层
高国强 向我咨询
行业年龄 11年
成功案例 2937人
留学关乎到一个家庭的期望以及一个学生的未来,作为一名留学规划导师,我一直坚信最基本且最重要的品质是认真负责的态度。基于对学生和家长认真负责的原则,结合丰富的申请经验,更有效地帮助学生清晰未来发展方向,顺利进入理想院校。
Tara 向我咨询
行业年龄 6年
成功案例 1602人
薛占秋 向我咨询
行业年龄 10年
成功案例 1869人
从业3年来成功协助数百同学拿到英、美、加、澳等各国学习签证,递签成功率90%以上,大大超过同业平均水平。
Cindy 向我咨询
行业年龄 18年
成功案例 4806人
精通各类升学,转学,墨尔本的公立私立初高中,小学,高中升大学的申请流程及入学要求。本科升学研究生,转如入其他学校等服务。