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2009韩山师范学院专插本历年真题《数学分析》

2009韩山师范学院专插本历年真题《数学分析》

09韩山师范学院专升本插班生考试样卷

数学与应用数学 专业 数学分析 样卷

题号一二三四五六七八九十总分评卷人得分

一、填空题(每小题3分,共18分):

1.设,则= .

2.= .

3.设存在,则 。

4.曲线的拐点是 。

5. 幂级数的收敛区间是 。

6.= 。

二、用定义证明。(8分)

三、计算题(每小题7分,共35分):

1.

2.求

3.设,求

4.

5.

四、证明:若为[a,b]上的连续函数,则在[a,b]上可积。(8分)

五、讨论函数级数在R上的一致收敛性。(8分)

六、讨论函数在(0,0)处的可微性。(8分)

七、求,其中D是由,x=0,y=1所围成的平面区域。(7分)

八、求,其中S是

和围成体的表面,外法线为正向。(8分)

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