2021年高等数学期末试卷(B卷).pdf

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1、高数数学b(下)试卷第1页（共3页）高等数学 b2试卷（B卷）总得分阅卷人复查人考试方式本试卷考试分数占学生总评成绩比例闭卷80%1函数0,00,),(222222yxyxyxxyyxf在)0,0(点处()（A）连续，且偏导函数都存在（B）不连续，但偏导函数都存在（C）不连续，且偏导函数都不存在（D）连续，且偏导函数都不存在2设向量cba,满足关系式caba，则（）（A）必有;0a（B）当0a时，必有cb；（C）必有;0cb（D）当cb时，必有)(cba（其中为常数）3设),(yxf在区域4)2(|),(22yxyxD上连续，则二重积分Ddyxf),(表示成极坐标系下的二次积分的形式为（）（A

2、）2020)sin,cos(rdrrrfd；（B）200)sin,cos(rdrrrfd；（C）cos400)sin,cos(rdrrrfd；（D）sin400)sin,cos(rdrrrfd4幂级数0)1(nnnxa在3x处条件收敛，则幂级数0nnnxa的收敛半径为（）（A）（B）（C）（D）5函数221CxeCy（其中21,CC是任意常数）是微分方程02yyy的（）（A）通解；（B）特解；（C）不是解；（D）是解，不是通解，也不是特解1设函数yxz，则函数yxz的全微分dz2函数222zyxu在点)1,1,1(0P处沿0OP方向的方向导数为，其中O为坐标原点3曲面22xyz在点)0,2,1

3、(处的切平面方程为4曲线积分LdsyxI)(22（其中L是圆周：922yx）的值为5设xxxxf1,1,10,)(的正弦级数展开式为0sinnnnxb，设0sinnnnxb的和函数为)(xs，则)5(s为1求直线012309335zyxzyx与直线51123zyx的夹角的余弦分 数25 分得 分阅卷人分数25 分得分阅卷人分 数36 分得 分阅卷人一、选择题（每题5 分，共 25 分）二、填空题（每题5 分,共 25 分）三、计算下列各题（每题6 分,共 36 分）|精.|品.|可.|编.|辑.|学.|习.|资.|料.*|*|*|*|欢.|迎.|下.|载.第 1 页，共 3 页高数数学b(下)

4、试卷第2页（共3页）2设函数),(22yxxyfz，其中),(yxf具有二阶连续偏导数，求yxzxz2,3求函数)2(),(22yyxeyxfx的极值，并判断是极大值或极小值4计算曲面积分dSz2，其中为锥面)40(22zyxz5确定a的值，使曲线积分BAaadyyyxdxxyxI)56()4(4214与路径无关，并求BA,分别为)2,1(),0,0(时曲线积分的值|精.|品.|可.|编.|辑.|学.|习.|资.|料.*|*|*|*|欢.|迎.|下.|载.第 2 页，共 3 页文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3

5、B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O

6、3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6

7、O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W

8、6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10

9、W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K1

10、0W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K

11、10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2高数数学b(下)试卷第3页（共3页）6计算三重积分dxdydzzxyI32，其中是由曲面xyz与平面1,xxy和0z所围成的闭区域1求dxdyyxdzdxxzdydzzy)()()(222，

12、其中为锥面22yxz（hz0）的外侧2求方程xxeyyy323的通解分 数14 分得 分阅卷人四、计算下列各题（每题7 分，共 14 分）|精.|品.|可.|编.|辑.|学.|习.|资.|料.*|*|*|*|欢.|迎.|下.|载.第 3 页，共 3 页文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档

13、编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文

14、档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2

15、文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H

16、2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3

17、H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X

18、3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2文档编码:CC10K10W6O3B4 HU2W9X6T3I5 ZB4Q9J10X3H2