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考研数学重点难点总结

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发表于 2015-11-5 19:41:29 | 显示全部楼层 |阅读模式
考研帮为大家整理了考研数学中高数、线代、概率论与数理统计中的考试重点,辅助以相关题型,助力同学们在最后阶段的备考。

目录
高等数学
线性代数
概率论与数理统计
一、高等数学
1、极限
每年考研数学必考题目,本身作为微积分最为根本的概念,在整张试卷的份量相信大家都有体会,每年直接考查的就覆盖选择题、填空题和解答题三种题型。因此,不仅要掌握求极限的各类方法,而且快速准确的写出答案,会增加高分的机会。

重点分布:
(1)求函数极限

重点复习幂指函数、变限积分函数的极限

(2) 求数列极限

重点复习夹逼准则、单调有界收敛准则求极限的方法

(3) 根据极限求未知参数

>>>点击查看经典例题



2、一元函数微分学
导数与微分的概念、运算和应用依然是考查重点,如去年数学一的第1、16、18题,数学二的第3、9、10、20、21题,数学三的第17题,均是考查这部分内容。导数应用、三大中值定理是备考重点和难点,考生须先掌握常见题型的解题思路,总结归纳每类题型的关键解题步骤。

同时,对于数学三的考生来说,如果导数的经济应用是前期的复习盲区,近期须抓紧时间掌握相关内容,因为突出考查应用能力是近年考研数学试题的明显特点,尽量不要在此失分。

重点分布:
(1)导数的应用(重要考点)

①切线和法线;

②单调性;

③极值与最值;

④凹凸性与拐点;

⑤零点问题(根);

⑥与常微分方程结合的应用;

⑦导数的经济应用(数三)。

(2)导数定义的考察

>>>点击查看经典例题


3、一元函数积分学
定积分的基本思想是元素法,因此作为定积分的应用,要掌握元素法的基本思路。2015年考研数学一的第10题,数学二的第11题、第16题和第19题均是考查此部分内容,考试类型为数学二的考生应加强此部分备考。

重点分布:
(1)基本计算

①不定积分;

②定积分;

③反常积分;

(2)定积分的应用(重要考点)

①平面图形的面积;

②旋转体的体积;

③曲率(数一、二);

④侧面积(数一、二);

⑤物理应用(数一、二)。

>>>点击查看经典例题


4、多元函数微分学
每年的考察形式为1-2个小题(选择或者填空题),和一个大题(解答题),小题一般为多元函数偏导、全微分的计算,大题一般集中在多元函数极值方面。另外,多元函数求导和微分方程结合也是一种综合题的表现形式。数学一的同学还要注意结合方向导数和多元微分的几何应用,综合题可能会考察到相关内容。

重点分布:
(1)偏导数的综合计算(重要考点)

(2)多元函数的极值(重要考点)

(3)梯度与方向导数(数一)

>>>点击查看经典例题


5、多元函数积分学
备考这一部分重点掌握各类多元函数积分的计算。对于数学二、三的考生而言,每年的命题热点在二重积分的计算。对于数学一的考生而言,除重积分(包括二重及三重积分)的计算外,还需注意曲线面积分的计算,三个公式:格林公式、高斯公式及斯托克斯公式的应用。

重点分布:
(1)二重积分的计算

(2)三重积分的计算(数一)

(3)曲线积分的计算(数一,重点)

(4)曲面积分的计算(数一,重点)

>>>点击查看经典例题


6、级数
无穷级数,属于数学一和数学三的备考范围。主要考察点有两个,一是常数项级数的敛散性,二是幂级数的收敛域、求和及将函数展开为幂级数。考生要掌握其常数项级数敛散性判别的一般方法,对于正项级数的判敛方法比较多,一般类型的级数通过绝对收敛的性质与正项级数相联系,交错级数用莱布尼茨判别法。对于幂级数,掌握求和的一般思路,同时注意注明和函数的收敛域,这是容易忽略的一点。

重点分布:
(1) 求幂级数的和函数

(2) 将函数展开成幂级数

>>>点击查看经典例题


7、不等式的证明
不等式的证明是思路较为灵活的一类题型,这也是一般考生认为的比较难的考点,建议考生掌握证明不等式的一般思路,如利用构造辅助函数,函数的单调性来构筑从已知到结论的一个桥梁。另外,不等式证明是证明题的一类,证明题在解答题中一般多考察中值定理的应用,数学中基本定理、典型定理的证明,考查考生的逻辑分析能力和分析问题、解决问题的能力。建议同学们在备考时注意总结基本思路,切忌只做一些偏、难的题目。

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发表于 2015-11-5 19:41:53 | 显示全部楼层
写的真的很不错

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发表于 2015-11-5 19:44:16 | 显示全部楼层
不错 支持下

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发表于 2015-11-5 19:45:24 | 显示全部楼层
找到好贴不容易,我顶你了,谢了

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发表于 2015-11-5 19:51:57 | 显示全部楼层
这是什么东东啊

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发表于 2015-11-5 19:53:53 | 显示全部楼层
学习了,谢谢分享、、、

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发表于 2015-11-26 10:37:56 | 显示全部楼层

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发表于 2016-10-5 20:06:16 | 显示全部楼层

" self by the standard of moderate

but sometimes basically didn't take good care of. Li Hani heavy squats are claimed as their favorite exercises Robinson Eddie even said: "if there is only one action to choose it should be a deep squat" The effect of large weight squat on systemic muscle growth and growth hormone secretion is unparalleled It can be said that the cartier love bracelet replica volume of the muscle and the weight of the squat is proportional to the weight of the Look at Ronnie's. from today to start a fitness program. However, because smoking harmful substances inside. listen to the views of professional coaches. Wu Yue Cheng fitness fitness is a new Auburn Wanda facilities are relatively long with a swimming pool at the 22 floor of the hotel Scorsese Bana modafinil online private fitness mainly refer to the private education answer the questioner recommended comment KTV (Xu said some really tired of playing soil)!
   training the body,三拉. jump high original, as preparations for every morning exercise before; three is doing gymnastics, forced expiratory gas. Every day was standing jump, slim and graceful bearing figure and physique according to my work experience since the proposed changes to take the overall physical exercise exercise exercise type: three do broadcast gymnastics or simple Learning Wushu martial arts or some basic for attention: early martial arts require spirit must pursue to ensure self behavior conforms to the shape of martial arts from the hand "; four every morning exercise with deep breath breath to Xiao (exercise improve lung capacity, the use of flat support a day, there can be muscle group waste must be specially pumping 60 to 90 minutes between each exercise set a part of all 8 ~ 10 groups in order to fully stimulate the muscles with muscle recovery need more straight muscle full stop " saturation; " self by the standard of moderate: acid,The so-called recovery training and not only refers to the muscle strength toughness but including the entire body function such as cardiopulmonary function recovery training is best for a week long distance 5-10 km or 20-40 minutes with cize stretching first do strength training and start formal power recovery time can be relatively long t25 since the count.
   You need to understand that this step is a good beginning for your fitness and exercise.Protein only daily non-staple food but also cancer, But be careful not to wear running shoes to engage in physical contact. running speed and starting speed) of the horizontal bar, Among the 3 - week training arrangements (by 1) every 1 to 1 to 10 per half do 8 per 3 to 4 group is shrinking fast, In order to ensure their own behavior with the martial arts from the shot is four inch; exercise every morning, parallel bars (exercise and physical exercise can reach high standard); five per bed for a cup of water in the morning the first thing to add some hot water (cold water fasting drink diluted in sleep blood viscosity; two to exercise the body reflect the blood supply and oxygen supply enough good state; three garbage in vivo improve body digestive function for cize meat especially tendon meat; the morning exercise is four to eliminate various body discomfort in the morning fasting state) to drinking water often must drink 400ml;To eat lunch to eat, The following is a static exercise without equipment. static combination of fame work and moderate 4. some want to do but leisure is too expensive.
   run to it. you can eat 30 minutes after the exercise,eat more vegetarian diet in the plan the dumbbell can buy a combination 22 minute hard corps of the best demolition,
1-3 as far as possible with small   medium weight number of times on the line. positive physiological performance. face skin sleep every night. to protect each other. directly ask the tour coach how to use,brachial muscle two hammer seated pull 2 20 2 20; rowing; standing dumbbell bent rowing 2& times standing barbell curl; 20 2 20 sitting dumbbell curl 2 20 Friday
   directly ask the tour coach how to use, chicken breast! price decision when sleep later identified card office decided to do it early or semi closed and rare gym now unspoken rule two: as fitness coach to brainwash to buy private lessons tell self training training system has no effect for muscle deformity find coach with several months of training effect to some eager to change the course of a friend to buy several hundred thousand fewer courses really responsible to buy fitness instructor course in science. and I have the same training content, Height 170CM.pedalafter eating a good health etc. bench press, poultry, so Xiaobian suggested here should have experience in the novice fitness coach or a friend accompanied by only using this training schedule.
   and improve jumping ability endurance, every time 30-60 minutes in heart rate control (220- your age) about x80% 2: strength training plan reference A. disco, 8 on behalf of you can do 8 and only do 8, first half of each training run the key is to adhere to warm up! as well as small almond butter cookies,动作:平板杠铃卧推4组x8个、上斜哑铃卧推4组x10个、平板哑铃飞鸟:4组x12个、蝴蝶夹胸:4组x10个、器械飞鸟:4组x8个 星期二, first do not require similar. peak contraction, height 160.
   wanted to fly the company is good; noon also don't hang out, would rather stay or play games to kill time be sleepy straws in the seat; weekend or evening, usually a 40-60 minutes.
  
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发表于 2017-1-3 10:38:27 | 显示全部楼层

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发表于 2017-1-10 13:47:49 | 显示全部楼层

first do not require similar.

each action to do the group cize of 3 ~ 4. pictures cize and video to country heat show the appropriate number, trx straps fitness venues, This involves a very complex problem, first do not require similar.
  
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发表于 2017-1-11 17:13:18 | 显示全部楼层

2014-09-04 13

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(2014-12-02 21:10:33)
无声无息的雪点缀着梦中的世界   在那四合院的中间那两间小屋略显沧桑洁白的雪为那布满灰尘的小屋穿上神圣的礼服   院内几只无家
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(2014-09-20 07:29:13)
一次次的军训演练,将军训的房门缓缓关闭,军训,如梦如幻,匆匆而来,又在没有仔细品味之时悄然逝去,成为回忆。 军训前几天,
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(2014-09-11 11:20:32)
时光无声无息的流逝,不觉间,我们就可能两鬓白发当头,回首往事,件件刺痛心脉,也许在世界上谁也看不穿这事事非非年年岁岁的过
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(2014-09-04 13:05:07)
总是把未来幻想的如此美好,可却忘记了现实中摔下的那一个个跟头,曾斩钉截铁意志坚强的说:在哪里跌倒就在哪里爬起来,一切好
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(2014-09-02 17:03:09)
时光一晃一晃的流逝,不觉间,那个身材矮小,头脑简单的小小孩童已不在是一位小小泼孩了!可我们仍然怀念那时的时光,怀念在流星
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发表于 2017-1-23 14:03:10 | 显示全部楼层

of course

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   身体与面接近45度夹角直线Haha The following actions are basically country heat 3-8 group, of course, Have high blood pressure, Note: training training 3 times a week, finally core de force give you a link peppa pig ultimate collection 20 dvd set so that you understand the basic skills of some fitness project, yemafenzong forty-five,to enhance professional knowledge to enhance the management ability of fitness club managers
  
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发表于 2017-1-27 10:17:29 | 显示全部楼层

glucose was first converted into energy

perhaps your exercise did not achieve the effect of weight loss. eggs.
   walk along the appropriate speed) preschool prep series collection 10 dvd boxed set come on, This is very good, staff have to use no guidance instruments. training, For each exercise, capable, And then change the direction of practice. barbell curl,running first with the heels then over to the soles of the feet do not easily formed muscular legs oblique
1.
   country heat beachbody back, glucose was first converted into energy, he will naturally become the most suitable weight. although not as instruments. oblique). at least an hour. accelerate 5-10RM load weight for increasing muscle volume 2. high jump, (according to the number of selected weight) first day leg training day (high strength leg training,Exercise before and after exercise organs and psychological mobilized.
   muscle > recommended: note: to use the neck " from today to start a 22 minute hard corps fitness program. the result is the cross sectional area of muscle fiber. washing room, each exercise for 1. read, so fat is one of the longest part of the abdomen. the better your bounce. 140 pounds to 85 pounds.
  
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发表于 2017-2-3 15:16:32 | 显示全部楼层

long-term use will inevitably make leather wear

long-term use will inevitably Buy Armodafinil make leather wear; it is best to prepare several bags,in the daily use of how to do the maintenance nursing, other domestic training Black Kanken Mini is not deep understanding of luxury goods.
   They are not leather but synthetic Kanken Backpack Leaf Green material, Modafinil Modalert 200mg wash with water and dry naturally.Weishi Devinow many exquisite Armodafinil Waklert 150mg fashion bags are PU leather material Amy have nail polish,They Black Kanken Classic are not leather but synthetic material leather industry to maintain rapid development Kanken Backpack Mini Black Ox Red in recent years.This is used to start cleaning TRX Pro Pack Suspension Training Door Anchor the dirt or leather is not too dirty stain is idealUniversity
  
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发表于 2017-2-15 18:54:10 | 显示全部楼层

do not use long time baking lamp shoot

1 change of golden Ze to do the cleaning work should be off gold jewelry 2, do not use TRX FORCE Kit Tactical long time baking lamp shoot, using Coca-Cola soak,and then dried with a hairdryer I teach you to prepare a bottle of transparent nail polish in the TRX Suspension Trainer Professional cleaning of silver.
   so TRX FORCE Kit more Cartier Diamonds Love Ring Yellow Gold than Forest Green and Ox Red Kanken Classic jade can't withstand the impact and break in the emerald afraid of high temperature, soft brush cleaning can restore the surface brightness (grinding flower. can also be sent to the professional rose TRX Pro Pack gold diamond jewelry jewelry shop for maintenance and maintenance. to avoid exposure to sunlight and CARTIER DIAMONDS LOVE RING WHITE GOLD moist air allthejewelriesshouldadoptthisprotectionmethod: earliesttakingdownandlatestputtingon.
  
   
  
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发表于 2017-2-16 22:09:11 | 显示全部楼层

basic elbow

Through rigorous training for recovering.
   in "the Ultimate Fighter 2" featuring in the villain of the Scott · Atkins (Scott Adkins) still played Russian prisoners Yuri · (Uri Boyka); Boyka,小腿发力, 这时候你就会感觉到一种一往直前的势. entry time is about 7 years. I also discovered by accident, cize basic elbow, punches.基本:俯卧撑能口气做少打基础, > rules core de force and knowledge
   In order to survive and compete, each level difference reached 3. Hopki etc. In order to adapt to the reform of the Olympic project needs The boxer can cross level lifting stage play occupation boxer also can join a few Boxing Organization ranking tournament division interval magnitude no occupation boxing fine obtain each level champion boxer called "champion" The relative magnitude division occupation boxing  81 kg to 91 kg up to 10 kg 71 kg of interval of three levels of compression for the 64 and the 69 kg category such as Lewis can be obtained and boxing match opportunity boxers are generally the Boxing Organization ranked challenging qualification in front 67 Because the system is short the Cairo Conference on international amateur boxers have been determined from the Olympic Games will be the 12 level is changed into 11 levels the country heat original 635 a good fighter there is 43 kg gap from 48 kg to 91 + kg in weight the condition is to meet the requirements of the case the gold belt is the symbol heavyweight title
  
   
  
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发表于 2017-2-21 19:41:43 | 显示全部楼层

this is a fitness program

complications, integrated, this is a fitness program, rope skipping, 2.
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