2013考研数学考试大纲.pdf
《2013考研数学考试大纲.pdf》由会员分享,可在线阅读,更多相关《2013考研数学考试大纲.pdf(15页珍藏版)》请在淘文阁 - 分享文档赚钱的网站上搜索。
1、 2013 考研数学(三)考试大纲考试科目:微积分线性代数概率论与数理统计考试形式和试卷结构一、试卷满分及考试时间试卷满分为 150分,考试时间为180分钟二、答题方式答题方式为闭卷、笔试三、试卷内容结构微积分约 56线性代数约 22%概率论与数理统计22四、试卷题型结构试卷题型结构为:单项选择题选题 8小题,每题 4 分,共 32 分填空题 6小题,每题 4 分,共 24 分解答题(包括证明题)9小题,共 94 分微积分一、函数、极限、连续考试内容函数的概念及表示法函数的有界性单调性周期性和奇偶性复合函数反函数分段函数和隐函数基本初等函数的性质及其图形初等函数函数关系的建立数列极限与函数极限
2、的定义及其性质函数的左极限和右极限无穷小量和无穷大量的概念及其关系无穷小量的性质及无穷小量的比较极限的四则运算极限存在的两个准则:单调有界准则和夹逼准则两个重要极限:函数连续的概念函数间断点的类型初等函数的连续性闭区间上连续函数的性质考试要求1理解函数的概念,掌握函数的表示法,会建立应用问题的函数关系2了解函数的有界性单调性周期性和奇偶性3理解复合函数及分段函数的概念,了解反函数及隐函数的概念4掌握基本初等函数的性质及其图形,了解初等函数的概念5了解数列极限和函数极限(包括左极限与右极限)的概念6了解极限的性质与极限存在的两个准则,掌握极限的四则运算法则,掌握利用两个重要极限求极限的方法7理解
3、无穷小的概念和基本性质掌握无穷小量的比较方法了解无穷大量的概念及其与无穷小量的关系文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G
4、5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1
5、L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6
6、U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T
7、2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7
8、Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1
9、D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U18理解函数连续性的概念(含左连续与右连续),会判别函数间断点的类型9了解连续函数的性质和初等函数的连续性,理解闭区间上连续函数的性质(有界性、最大值和最小值定理介值定理),并会应用这
10、些性质二、一元函数微分学考试内容导数和微分的概念导数的几何意义和经济意义函数的可导性与连续性之间的关系平面曲线的切线与法线导数和微分的四则运算基本初等函数的导数复合函数反函数和隐函数的微分法高阶导数一阶微分形式的不变性微分中值定理洛必达(LHospital)法则函数单调性的判别函数的极值函数图形的凹凸性拐点及渐近线函数图形的描绘函数的最大值与最小值考试要求1理解导数的概念及可导性与连续性之间的关系,了解导数的几何意义与经济意义(含边际与弹性的概念),会求平面曲线的切线方程和法线方程2掌握基本初等函数的导数公式导数的四则运算法则及复合函数的求导法则,会求分段函数的导数会求反函数与隐函数的导数3了
11、解高阶导数的概念,会求简单函数的高阶导数4了解微分的概念,导数与微分之间的关系以及一阶微分形式的不变性,会求函数的微分5理解罗尔(Rolle)定理拉格朗日(Lagrange)中值定理了解泰勒定理柯西文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1
12、D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O
13、5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1
14、Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10
15、X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV
16、8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6
17、D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1(Cauchy)中值定理,掌握这四个定理的简单应用6会用洛必达法则
18、求极限7掌握函数单调性的判别方法,了解函数极值的概念,掌握函数极值、最大值和最小值的求法及其应用8 会用导数判断函数图形的凹凸性(注:在区间(,)a b内,设函数()f x具有二阶导数当()0fx时,()f x的图形是凹的;当()0fx时,()f x的图形是凸的),会求函数图形的拐点和渐近线9会描述简单函数的图形三、一元函数积分学考试内容原函数和不定积分的概念不定积分的基本性质基本积分公式定积分的概念和基本性质定积分中值定理积分上限的函数及其导数牛顿一莱布尼茨(Newton-Leibniz)公式 不定积分和定积分的换元积分法与分部积分法反常(广义)积分定积分的应用考试要求1理解原函数与不定积分
19、的概念,掌握不定积分的基本性质和基本积分公式,掌握不定积分的换元积分法和分部积分法2了解定积分的概念和基本性质,了解定积分中值定理,理解积分上限的函数并会求它的导数,掌握牛顿一莱布尼茨公式以及定积分的换元积分法和分部积分法文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y
20、1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D
21、6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5
22、T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z
23、7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X
24、1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8
25、O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U1文档编码:CV8O5T2G5M8 HQ6D1Z7Y1L6 ZN6X10X1D6U13会利用定积分计算平面图形的面积旋转体的体
- 配套讲稿:
如PPT文件的首页显示word图标,表示该PPT已包含配套word讲稿。双击word图标可打开word文档。
- 特殊限制:
部分文档作品中含有的国旗、国徽等图片,仅作为作品整体效果示例展示,禁止商用。设计者仅对作品中独创性部分享有著作权。
- 关 键 词:
- 2013 考研 数学 考试 大纲
限制150内