《2012年数学二考试大纲.pdf》由会员分享，可在线阅读，更多相关《2012年数学二考试大纲.pdf（6页珍藏版）》请在taowenge.com淘文阁网|工程机械CAD图纸|机械工程制图|CAD装配图下载|SolidWorks_CaTia_CAD_UG_PROE_设计图分享下载上搜索。
1、1 2018 年数学二考试大纲考试科目：高等数学、线性代数考试形式和试卷结构一、试卷总分值及考试时间试卷总分值为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、试卷内容结构高等数学约 78%线性代数约 22%四、试卷题型结构单项选择题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 分高等数学一、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的定义及其性质函数的左极限与右极限无穷小量和
2、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：0sinlim1xxx，1lim 1xxex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，并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理解极限的概念，理解函数左极限与右极限的概念以及函数极限存在与左极限、右极限之间的关系6掌握极限的性质及四则运算法则7掌握极限存在的两个准则，并
3、会利用它们求极限，掌握利用两个重要极限求极限的方法8理解无穷小量、无穷大量的概念，掌握无穷小量的比较方法，会用等价无穷小量求极限2 9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10 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物理意义函数的可导性与连续性之间的关系平面曲线的切线和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、隐函数以及参数方程所确定的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
4、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弧微分曲率的概念曲率圆与曲率半径考试要求1理解导数和微分的概念，理解导数与微分的关系，理解导数的几何意义，会求平面曲线的切线方程和法线方程，了解导数的物理意义，会用导数描述一些物理量，理解函数的可导性与连续性之间的关系2 掌握导数的四则运算法则和复合函数的求导法则，掌握基本初等函数的导数公式了解微分的四则运算法则和一阶微分形式的不变性，会求函数的微分3了解高阶导数的概念，会求简单函数的高阶导数4会求分段函数的导数，会求隐函数和由参数方程所确定的函数以及反函数的导数5理解并会用罗尔Rolle定理、拉格朗日L
5、agrange中值定理和泰勒Taylor定理，了解并会用柯西(Cauchy中值定理6掌握用洛必达法则求未定式极限的方法7理解函数的极值概念，掌握用导数判断函数的单调性和求函数极值的方法，掌握函数的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()fx具有二阶导数 当()0fx时，()fx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以及水平、铅直和斜渐近线，会描绘函数的图形9了解曲率、曲率圆和曲率半径的概念，会计算曲率和曲率半径三、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
6、定积分中值定理积分上限的函数及其导数牛顿-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有理函数、三角函数的有理式和简单无理函数的积分反常广义积分定积分的应用考试要求1理解原函数的概念，理解不定积分和定积分的概念2掌握不定积分的基本公式，掌握不定积分和定积分的性质及定积分中值定理，掌握文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X
7、3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6
8、X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF
9、6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:C
10、F6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:
11、CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码
12、:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编
13、码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S33 换元积分法与分部积分法3会求有理函数、三角函数有理式和简单无理函数的积分4理解积分上限的函数，会求它的导数，掌握牛顿-莱布尼茨公式5了解反常积分的概念，会计算反常积分6掌握用定积分表达和计算一些几何量与物理量平面图形的面积、平面曲线的弧长、旋转体的体积及侧面积、平行截面面积为已知的立体体积、功、引力、压力、质心、形心等及函数平均值四、多元函数
14、微积分学考试内容多元函数的概念二元函数的几何意义二元函数的极限与连续的概念有界闭区域上二元连续函数的性质多元函数的偏导数和全微分多元复合函数、隐函数的求导法二阶偏导数多元函数的极值和条件极值、最大值和最小值二重积分的概念、基本性质和计算考试要求1了解多元函数的概念，了解二元函数的几何意义2了解二元函数的极限与连续的概念，了解有界闭区域上二元连续函数的性质3了解多元函数偏导数与全微分的概念，会求多元复合函数一阶、二阶偏导数，会求全微分，了解隐函数存在定理，会求多元隐函数的偏导数4了解多元函数极值和条件极值的概念，掌握多元函数极值存在的必要条件，了解二元函数极值存在的充分条件，会求二元函数的极值，
15、会用拉格朗日乘数法求条件极值，会求简单多元函数的最大值和最小值，并会解决一些简单的应用问题5了解二重积分的概念与基本性质，掌握二重积分的计算方法直角坐标、极坐标五、常微分方程考试内容常微分方程的基本概念变量可别离的微分方程齐次微分方程一阶线性微分方程可降阶的高阶微分方程线性微分方程解的性质及解的结构定理二阶常系数齐次线性微分方程高于二阶的某些常系数齐次线性微分方程简单的二阶常系数非齐次线性微分方程微分方程的简单应用考试要求1了解微分方程及其阶、解、通解、初始条件和特解等概念2掌握变量可别离的微分方程及一阶线性微分方程的解法，会解齐次微分方程3会用降阶法解以下形式的微分方程：()(),(,)ny
16、f xyf x y和(,)yf y y4理解二阶线性微分方程解的性质及解的结构定理5掌握二阶常系数齐次线性微分方程的解法，并会解某些高于二阶的常系数齐次线性微分方程6会解自由项为多项式、指数函数、正弦函数、余弦函数以及它们的和与积的二阶常文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X
17、3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6
18、X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF
19、6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:C
20、F6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:
21、CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码
22、:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编
23、码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S34 系数非齐次线性微分方程7会用微分方程解决一些简单的应用问题线性代数一、行列式考试内容行列式的概念和基本性质行列式按行列展开定理考试要求1了解行列式的概念，掌握行列式的性质2会应用行列式的性质和行列式按行列展开定理计算行列式二、矩阵考试内容矩阵的概念矩阵的线性运算矩阵的乘法方阵的幂方阵乘积的行列式矩阵的转置逆矩阵的概念和性质矩阵可逆的充分必要条件伴随矩阵矩阵的初等变换初等矩阵矩阵的秩矩阵的等价分块矩阵及其运算考试要求1理解矩阵的
24、概念，了解单位矩阵、数量矩阵、对角矩阵、三角矩阵、对称矩阵、反对称矩阵和正交矩阵以及它们的性质2掌握矩阵的线性运算、乘法、转置以及它们的运算规律，了解方阵的幂与方阵乘积的行列式的性质3理解逆矩阵的概念，掌握逆矩阵的性质以及矩阵可逆的充分必要条件理解伴随矩阵的概念，会用伴随矩阵求逆矩阵4了解矩阵初等变换的概念，了解初等矩阵的性质和矩阵等价的概念，理解矩阵的秩的概念，掌握用初等变换求矩阵的秩和逆矩阵的方法5了解分块矩阵及其运算文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文
25、档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3
26、文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S
27、3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6
28、S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I
29、6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10
30、I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K1
31、0I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S35 三、向量考试内容向量的概念向量的线性组合和线性表示向量组的线性相关与线性无关向量组的极大线性无关组等价向量组向量组的秩向量组的秩与矩阵的秩之间的关系向量的内积线性无关向量组的的正交标准化方法考试要求1理解n维向量、向量的线性组合与线性表示的概
32、念2理解向量组线性相关、线性无关的概念，掌握向量组线性相关、线性无关的有关性质及判别法3了解向量组的极大线性无关组和向量组的秩的概念，会求向量组的极大线性无关组及秩4了解向量组等价的概念，了解矩阵的秩与其行列向量组的秩的关系5了解内积的概念，掌握线性无关向量组正交标准化的施密特Schmidt方法四、线性方程组考试内容线性方程组的克拉默Cramer法则齐次线性方程组有非零解的充分必要条件非齐次线性方程组有解的充分必要条件线性方程组解的性质和解的结构齐次线性方程组的基础解系和通解非齐次线性方程组的通解考试要求1会用克拉默法则2理解齐次线性方程组有非零解的充分必要条件及非齐次线性方程组有解的充分必要
33、条件3理解齐次线性方程组的基础解系及通解的概念，掌握齐次线性方程组的基础解系和通解的求法4理解非齐次线性方程组的解的结构及通解的概念5会用初等行变换求解线性方程组五、矩阵的特征值和特征向量考试内容矩阵的特征值和特征向量的概念、性质相似矩阵的概念及性质矩阵可相似对角化的充分必要条件及相似对角矩阵实对称矩阵的特征值、特征向量及其相似对角矩阵考试要求1理解矩阵的特征值和特征向量的概念及性质，会求矩阵的特征值和特征向量2理解相似矩阵的概念、性质及矩阵可相似对角化的充分必要条件，会将矩阵化为相文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10
34、M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y1
35、0M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y
36、10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3
37、Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X
38、3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6
39、X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF
40、6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S36 似对角矩阵3理解实对称矩阵的特征值和特征向量的性质六、二次型考试内容二次型及其矩阵表示合同变换与合同矩阵二次型的秩惯性定理二次型的标准形和标准形用正交变换和配方法化二次型为标准形二
41、次型及其矩阵的正定性考试要求1了解二次型的概念，会用矩阵形式表示二次型，了解合同变换与合同矩阵的概念2了解二次型的秩的概念，了解二次型的标准形、标准形等概念，了解惯性定理，会用正交变换和配方法化二次型为标准形3理解正定二次型、正定矩阵的概念，并掌握其判别法文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3
42、文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S
43、3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6
44、S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I
45、6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10
46、I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K1
47、0I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3文档编码:CF6X3Y10M1Z9 HO8I9Z5H3Z7 ZV10L7K10I6S3