【考研数学】【名师指定_】同济六版高数课后必做习题集锦.doc

第1章第1节映射与函数习题114(1)(2)(3)(7)(8)(9)(10),5(1)(2)(3)(4),7(1),8,9(1)(2),13,15(1)(2)(3)(4),17,18第1章第2节数列的极限习题121(1)(2)(4)(5)(7)(8)第1章第3节函数的极限习题131,2,3,4第1章第4节无穷小与无穷大习题141,4,5,6,8第1章第5节极限运算法则习题151(1)(2)(3)(4)(6)(7)(10)(11)(12)(14),2(1)(2),3(1),4(1)(2)(3)(4),5(1)(3)第1章第6节极限存在准则两个重要极限习题161(1)(2)(4)(5)(6),2(1)(2)(3),4(2)(3)(4)(5)第1章第7节无穷小的比较习题171,2,3(1)(2),4(2)(3)(4)第1章第8节函数的连续性与间断点习题181,2(1)(2),3(1)(2)(4),4,5第1章第9节连续函数的运算与初等函数的连续性习题191,3(2)(4)(5)(6),4(1)(4)(5)(6),5,6第1章第10节闭区间上连续函数的性质习题1101,2,3,4第1章总复习题总复习题一1,2,3(1)(2),5,9(1)(2)(4)(5)(6),11,12,13第2章第1节导数概念习题213,6(1)(2)(3),7,8,9(1)(2)(4)(5)(7),11,13,14,16(1),17,18第2章第2节函数的求导法则习题222(1)(6)(7)(9),3(2)(3),4,7(1)(3)(6)(8)(9),8(8)(9),9,10(1)(2),11(2)(4)(6)(8)(9)(10)第2章第3节高阶导数习题233,4,9,10(1)(2),11(1)(2)(3)(4)第2章第4节隐函数及由参数方程所确定的函数的导数习题242,4(1)(2)(3),7(1)(2),8(1)(3)(4),9(2),10,11第2章第5节函数的微分习题251,2,3(1)(4)(7)(8)(10),4(1)(2)(3)(5)(7)(8),5,6第2章总复习题二总复习题二1,2,3,6(1)(2),7,8(1)(3)(4)(5),9(1),11,12(1)(2),13,14,16第3章第1节微分中值定理习题311,2,3,4,5,6,7,8,9,11,12,13,15第3章第2节洛必达法则习题321(1)(2)(3)(4)(5)(6)(9)(12)(14)(15),2,3,4第3章第3节泰勒公式习题332,3,4,5,6,7,10(1)(2)(3)第3章第4节函数的单调性与曲线的凹凸性习题343(2)(3)(5)(6),4,5(1)(2)(3)(4),6,7,9(1)(2)(3)(4)(5)(6),10(1)3),11,12,14,15第3章第5节函数的极值与最大值最小值习题351(1)(2)(4)(5)(7)(8)(9)(10),4(1)(2)(3),5,6,7,8,9,10,11,12,13,14第3章第6节函数图形的描述习题361,3,4,5第3章第7节曲率习题371,2,3,4,5,6,7,8第3章总复习题三总复习题三1,2(1),2(2),4,5,6,9,10(1)(3)(4),11(2)(3),12,14,17,19,20第4章第1节不定积分的概念与性质习题412(1)(2)(7)(10)(13)(14)(17)(18)(19)(21)(22)(24)(25),5第4章第2节换元积分法习题422(1)(3)(6)(9)(12)(15)(18)(24)(26)(30)(33)(36),2(16)(21)(37)(39)(42)(44)第4章第3节分部积分法习题431,2,3,4,6,7,8,9,11,12,14,16,17,18,20,24第4章第4节有理函数积分习题441,2,3,5,6,7,9,10,12,14,15,17,18,19,21,23,24第4章总复习题四总复习题四1,2,3,5,6,8,9,10,12,15,16,18,19,21,23,24,25,26,29,30,32,33,35,36,38,39第5章第1节定积分概念与性质习题513(3)(4),11,12(2)(3),13(5)第5章第2节微积分的基本公式习题522,3,4,5(2)(3),6(6)(12),7(4),8(1),9(2),10,11,12第5章第3节定积分的换元法和分部积分法习题531(9)(10)(12)(13)(15)(18)(21)(22)(24),2,3,5,6,7(7)(10)(13)第5章第4节反常积分习题541(4)(10),2,3第5章总复习题五总复习题五1(1)(2)(4),2(2)(4),3(1),4(1)(2),5(1),6,7,8(1),10(1)(2)(4)(8),11,12,14第6章第1节定积分的元素法第6章第2节定积分在几何学上的应用习题621(1)(4),2(1),3,4,5(1)(2),7,6,8(2)9,11,12,1415(1)(3)(4),17,19,21,22,24,25,28,29第6章第3节定积分在物理学的应用习题631,2,3,4,6,7,8,9,11第6章总复习题总复习题六1,2,3,4,7,8,9第7章第1节微分方程基本概念习题711(1)(2)(4)(5),2(3)(4),4(2),5(1),6第7章第2节可分离变量的微分方程习题721(1)(3)(5)(6)(8),3,4,6第7章第3节齐次方程习题731(1)(4)(5),2(1),3,4(1)(2)(4)第7章第4节一阶线性微分方程习题741(1)(4)(8),1(10),2(1)(5),7(1)(2)(3)(4),8(1)(4)(5)第7章第5节可降阶的高阶微分方程习题751(1)(4)(7)(8)(10),2(1)(2)(4)(5),3第7章第6节高阶线性微分方程习题761(1)(2)(3)(4)(6)(8)(9),4(2)(3)(4)第7章第7节常系数齐次线性微分方程习题771(1)(5)(7)(8)(10),2(1)(2)(4)(5)第7章第8节常系数非齐次线性微分方程习题781(1)(3)(4)(5)(7)(9)(10),2(1)(2)(4),6第7章第9节欧拉方程习题791,2,6,7第7章总复习题总复习题七1,2,3(1)(2)(3)(4)(7)(8)(9),4(1)(3)(4),5,7,10(1)第8章第1节向量及其线性运算习题8111,12,15,17,18第8章第2节数量积、向量积、混合积习题823,4,6,7,9,10第8章第3节曲面及其方程习题832,5,7,9,10(1)(2)(3)(4)第8章第4节空间曲线及其方程习题843,4,7,8第8章第5节平面及其方程习题851,2,3,5,9第8章第6节空间直线及其方程习题861,2,3,4,5,8,9,10(1)(2),12,13,15第8章总复习题总复习题八1,7,8,10,11,12,13,14(1)(2),15,17,19,20第9章第1节多元函数基本概念习题912,5(1)(2),6(1)(2)(4)(5),7(1),8第9章第2节偏导数习题921(3)(4)(5)(6)(7),4,6(2),9(1)第9章第3节全微分习题931(1)(2)(4),2,3,5第9章第4节多元复合函数的求导法则习题942,4,6,7,8(1)(2),10,11,12(1)(4)第9章第5节隐函数的求导公式习题951,2,4,5,6,8,9,10(1)(3)第9章第6节多元函数微分学的几何应用习题963,4,6,7,9,10,12第9章第7节方向导数与梯度习题972,3,5,7,8,10第9章第8节多元函数的极值及其求法习题981,2,5,6,7,9,11第9章第9节二元函数泰勒公式习题991,3第9章总复习题总复习题九1,2,3,5,6,8,9,12,15,16,17,20第10章第1节二重积分的概念与性质习题1012,4,5第10章第2节二重积分的计算法习题1021(1)(3),2(3)(4),4(1)(3),6(4)(5)(6),7,89,12(1)(2)(3),14(1)(2),15(1)(2)(3),16第10章第3节三重积分习题1031(1)(2),2,4,5,7,8,9(1)(2),10(1)(2),11(1)第10章第4节重积分的应用习题1041,2,5,6,8,10,14第10章总复习题总复习题十1,2(1)(3),3(1)(2)6,8(1)(2),10,11,12第11章第1节对弧长的曲线积分习题1111,3(3)(4)(5)(7),4第11章第2节对坐标的曲线积分习题1123(1)(2)(3)(5)(6)(7),4(1)(2)(3),7(1)(2),8第11章第3节格林公式及其应用习题1131,2(1)(2),3,4(1)(2),5(1)(2)(4),6(1)(3)(4),8(1)(3)(5)(6)(7)第11章第4节对面积的曲面积分习题1141,4(1)(2),5(1),6(1)(2)(3),7,8第11章第5节对坐标的曲面积分习题1153(1)(2)(4),4(1)(2)第11章第6节高斯公式通量与散度习题1161(1)(2)(3)(4),3(1)(2)第11章第7节斯托克斯公式环流量与旋度习题1172(1)(2)(3),3(1)(2)第11章总复习题总复习题十一1,2,3,4,5,7,11第12章第1节常数项级数的概念和性质习题1211(1)(4),2(3)(4),3,4第12章第2节常数项级数的审敛法习题1221(1)(4)(5),2(1)(4),3(1)(3),4(1)(3)(5),