导航数学:李林考研复习讲座2013
考研数学导学讲义一,考试简介:硕士研究生入学考试是一种选拔性考试。其难度高于学校考试
,低于竞赛。
1,考试分为:数一,二,(理工类),数三,(经济类)2,政治100分,英语100分,数学150分,专业课150分.其中数学一,三,,高数84分,线代33分,概率统计33分.
数学二,高数117分,线代33分.
3.数学考试题型
8道选择题,6道填空题,9道大题,23道
二.复习对策
准,1.抓“三基”,做“”,典型题熟,,
反复做
例如:积分变限函数问题—是常考的热点之一.
,(x),,,,型:[f(t)dt],f[(x)],(x),a
x,[f(x,t)dt]x,t,u,a
xxx,,[f(t,x)f(t)dt],[tf(t)dt,xf(t)dt],,,aaa
1x1,,[f(xt)dt]xt,u[f(u),du](x,0),,00x
x1,,([f(u)du]),0x
2.注重解题方法(规律)总体:
如:定(不定)积分计算:—换元法,分部积分法(“移项”,“消项”)
22xI,(tanx,1)edx,
222x,(tanx,1,2tanx)edx,
2x2x2,e.2tanxdx,e,secxdx,, 2x2x,e.2tanxdx,e,dtanx,,
2x2x2x2x,e.2tanxdx,e.tanx,e,tanxdx,etanx,C.,,
2x2x或d(e.tanx),e.tanx,C.,
regularly, neat in appearance, the main-beam with small harness line must be smooth transition, small wire harness tied to main beam should be at a 90-degree angle. 6.4.5 harness banding material for plastic cable tie, and banding material colors should
3.制定一个实用的复习计划:
基础阶段强化阶段冲刺础阶段,,(3,7月)(8,11月)(12月)
教材,概念典型题方法上总结?思路4.选择
书
关于书的成语关于读书的排比句社区图书漂流公约怎么写关于读书的小报汉书pdf
《高数》同济或学过的教材
《线代》同济或学过的教材
《概率》同济或浙大的教材
《大学数学辅导》《考研数学大纲解析》,
三.辅导班的作用
1.概念上的提升:
fxxfx,,,()()00,fx,如导数的定义:()lim0,x,0x,
,分母是一阶无穷小,分子是一阶(或以上)无穷小.
fx(),0,fxxx,,,()中是一阶无穷小.0,
例如(07年数一,二,三,四)
一.选择题(4)
fxx,设()在0处连续,下列命题错误的是:
fxfxfx,,()()()AfBf,,,,()若lim,则(0)0;()若lim,则(0)0;x,0x,0xx
fxfxfx,,()()(),,CfDf,,,,,()若lim,则(0);()若lim,则(0)..x,0x,0xx
fxfffxfxffxf,,,,,,,()(0)(0)()()(0)()(0),,limlim(]x,0x,0xxx,2.题型内部结构揭示—告诉你命题规律
如“消项”
,一般偏导,全微分计算
,由偏导方程,求函数,3.考研题型上指导,如多元微分学—,偏导等式化为微分方程,求二元函数极值,最值.,,
四.复习应注意
?(1)动手做题—(题解看多了)
(2)定一个略高的目标
(3)选择辅导班—(听一下上届同学意见)
(4)选择一本书作为主要复习书
degree angle. 6.4.5 harness banding material for plastic cable tie, and banding material colors should-o main beam should be at a 90beam with small harness line must be smooth transition, small wire harness tied t-regularly, neat in appearance, the main2
线性代数线性代数考研分,两个大题,三个小题,复习线性代数应注意其内在特点:1.33
,,,,()一个中心:秩,一种方法:初等变换1
秩—确定:“什么”,初等变换—求“什么”()联系紧密:如2,,,
??线性相关定义:存在不全为的数kkk使k,k,,k,0,,,0,,,,121122sss
?称向量线性相关,,,.12s
k,,1,,,,,,,k2?,,有非解(,,,)00,,12s?,,
,,k,,s,,,,
?,,s(,,,)12s
即:相关,齐次方程,秩三者是密切相关的.()线性代数命题有一定规律如rA,等3.()1线性代数中秩(A),的问题2.1
T,,,,()秩(A),,A,(,为列向量)11
,1nn,A,kAk,a,,ii
T,,,例、(考题)设为三维列向量,为转置,若
,111,,
,,TT,,,求,,111,,,.,,
,,,111,,
degree angle. 6.4.5 harness banding material for plastic cable tie, and banding material colors should-ss tied to main beam should be at a 90beam with small harness line must be smooth transition, small wire harne-regularly, neat in appearance, the main3
TTn,,,,例、(考题)设(1,0,,1),A,,n,N,则aE,A,________.
nn,1,,,(2)秩(A),1,,E,A,,a,ii
,,?,,,,,,,0,,a.,nnii12,1213,,
,,例、求A,426特征值,特征向量.,,
,,63a,,
17,2,2,,
,,例、求A,,214,4特征值,特征向量.,,
,,,2,414,,
322 ,,
,,,1,例、设A,232B,PAP,2E,求B的特征值.,,
,,223,,
degree angle. 6.4.5 harness banding material for plastic cable tie, and banding material colors should-o main beam should be at a 90beam with small harness line must be smooth transition, small wire harness tied t-regularly, neat in appearance, the main4
1?bb,,
,,1?bb,,例(04.)设IIIA,,,??
,,?1bb,,
,1(1)求特征值,特征向量;(2)求可逆,使为对角阵.APPAP
111?1,a,,
,,222?2,a,,例、(考题)计算.D,n,,??
,,?nnnn,a,,1234,a,,
,,1234,a ,,例、06数四..A,,,1234,a
,,1234,a,,
degree angle. 6.4.5 harness banding material for plastic cable tie, and banding material colors should-ss tied to main beam should be at a 90beam with small harness line must be smooth transition, small wire harne-regularly, neat in appearance, the main5