一、单选题(共15分,每小题3分)
1.设函数在
的两个偏导
,
都存在,则 ( )文章源自公式库网-https://www.gongshiku.com/html/201808/dayigaoshukaoshitikuzhixueniandierxueqiqimokaoshishijuantongjidaxuebanfudaan.html
A.在
连续 B.
在
可微文章源自公式库网-https://www.gongshiku.com/html/201808/dayigaoshukaoshitikuzhixueniandierxueqiqimokaoshishijuantongjidaxuebanfudaan.html
C. 及
都存在 D.
存在文章源自公式库网-https://www.gongshiku.com/html/201808/dayigaoshukaoshitikuzhixueniandierxueqiqimokaoshishijuantongjidaxuebanfudaan.html
2.若,则
等于( ).文章源自公式库网-https://www.gongshiku.com/html/201808/dayigaoshukaoshitikuzhixueniandierxueqiqimokaoshishijuantongjidaxuebanfudaan.html
文章源自公式库网-https://www.gongshiku.com/html/201808/dayigaoshukaoshitikuzhixueniandierxueqiqimokaoshishijuantongjidaxuebanfudaan.html
文章源自公式库网-https://www.gongshiku.com/html/201808/dayigaoshukaoshitikuzhixueniandierxueqiqimokaoshishijuantongjidaxuebanfudaan.html
3.设是圆柱面
及平面
所围成的区域,则
).文章源自公式库网-https://www.gongshiku.com/html/201808/dayigaoshukaoshitikuzhixueniandierxueqiqimokaoshishijuantongjidaxuebanfudaan.html
文章源自公式库网-https://www.gongshiku.com/html/201808/dayigaoshukaoshitikuzhixueniandierxueqiqimokaoshishijuantongjidaxuebanfudaan.html
文章源自公式库网-https://www.gongshiku.com/html/201808/dayigaoshukaoshitikuzhixueniandierxueqiqimokaoshishijuantongjidaxuebanfudaan.html
4. 4.若在
处收敛,则此级数在
处( ).文章源自公式库网-https://www.gongshiku.com/html/201808/dayigaoshukaoshitikuzhixueniandierxueqiqimokaoshishijuantongjidaxuebanfudaan.html
A. 条件收敛 B. 绝对收敛 C. 发散 D. 敛散性不能确定
A. (-1,3,4) B.(3,-1,4) C. (-1,0,3) D. (3,0,-1)
二、填空题(共15分,每小题3分)
2.交 换的积分次序后,
_____________________.
三、解答题(共54分,每小题6--7分)
2.(本小题满分6分)求椭球面的平行于平面
的切平面方程,并求切点处的法线方程.
7.(本小题满分7分)利用格林公式计算,其中
是圆周
(按逆时针方向).
8.(本小题满分7分)计算,其中
是由柱面
及平面
所围成且在第一卦限内的区域.
.
四、综合题(共16分,每小题8分)
参考答案及评分标准

