最新大学高等数学下考试题库(附答案)

大学高等数学下考试题库(附答案)

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《高等数学》试卷1（下）

一.选择题（3分«Skip Record If (10)

1.点«Skip Record If...»«Skip Record If...»到点«Skip Record If...»的距离«Skip Record If...»（）.

A.3

B.4

C.5

D.6

2.向量«Skip Record If...»，则有（）.

A.«Skip Record If...»∥«Skip Record If...»

B.«Skip Record If...»⊥«Skip Record If...»

C.«Skip Record If...»

D.«Skip Record If...»

3.函数«Skip Record If...»的定义域是（）.

A.«Skip Record If...»

B.«Skip Record If...»

C.«Skip Record If...» D«Skip Record If...»

4.两个向量«Skip Record If...»与«Skip Record If...»垂直的充要条件是（）.

A.«Skip Record If...»

B.«Skip Record If...»

C.«Skip Record If...»

D.«Skip Record If...»

5.函数«Skip Record If...»的极小值是（）.

A.2

B.«Skip Record If...»

C.1

D.«Skip Record If...»

6.设«Skip Record If...»，则«Skip Record If...»＝（）.

A.«Skip Record If...»

B.«Skip Record If...»

C.«Skip Record If...»

D.«Skip Record If...»

7.若«Skip Record If...»级数«Skip Record If...»收敛，则（）.

A.«Skip Record If...»«Skip Record If...»

B.«Skip Record If...»

C.«Skip Record If...»

D.«Skip Record If...»

8.幂级数«Skip Record If...»的收敛域为（）.

A.«Skip Record If...» B«Skip Record If...» C.«Skip Record If...» D.«Skip Record If...»

9.幂级数«Skip Record If...»在收敛域内的和函数是（）.

A.«Skip Record If...»

B.«Skip Record If...»

C.«Skip Record If...»

D.«Skip Record If...»

10.微分方程«Skip Record If...»的通解为（）.

A.«Skip Record If...»

B.«Skip Record If...»

C.«Skip Record If...»

D.«Skip Record If...»

二.填空题（4分«Skip Record If (5)

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1.一平面过点«Skip Record If...»且垂直于直线«Skip Record If...»，其中点«Skip Record If...»，则此平面方程为______________________.

2.函数«Skip Record If...»的全微分是______________________________.

3.设«Skip Record If...»，则«Skip Record If...»_____________________________.

4.«Skip Record If...»的麦克劳林级数是___________________________.

5.微分方程«Skip Record If...»的通解为_________________________________.

三.计算题（5分«Skip Record If (6)

1.设«Skip Record If...»，而«Skip Record If...»，求«Skip Record If...»

2.已知隐函数«Skip Record If...»由方程«Skip Record If...»确定，求«Skip Record If...»

3.计算«Skip Record If...»，其中«Skip Record If...».

4.如图，求两个半径相等的直交圆柱面所围成的立体的体积（«Skip Record If...»为半径）. «Skip Record If...»

5.求微分方程«Skip Record If...»在«Skip Record If...»条件下的特解.

四.应用题（10分«Skip Record If (2)

1.要用铁板做一个体积为2«Skip Record If...»的有盖长方体水箱，问长、宽、高各取怎样的尺寸时，才能使用料最省？

2..曲线«Skip Record If...»上任何一点的切线斜率等于自原点到该切点的连线斜率的2倍，且曲线过点«Skip Record If...»，求此曲线方程

.

试卷1参考答案

一.选择题 CBCAD ACCBD

二.填空题

1.«Skip Record If...».

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2.«Skip Record If...» .

3.«Skip Record If...» .

4. «Skip Record If...».

5.«Skip Record If...» .

三.计算题

1.«Skip Record If...»，«Skip Record If...».

2.«Skip Record If...».

3.«Skip Record If...»«Skip Record If...».

4.«Skip Record If...» .

5.«Skip Record If...».

四.应用题

1.长、宽、高均为«Skip Record If...»时，用料最省.

2.«Skip Record If...»

《高数》试卷2（下）

一.选择题（3分«Skip Record If (10)

1.点«Skip Record If...»，«Skip Record If...»的距离«Skip Record If...»（）.

A.«Skip Record If...»

B.«Skip Record If...»

C.«Skip Record If...»

D.«Skip Record If...»

2.设两平面方程分别为«Skip Record If...»和«Skip Record If...»，则两平面的夹角为（）.

A.«Skip Record If...»

B.«Skip Record If...»

C.«Skip Record If...»

D.«Skip Record If...»

3.函数«Skip Record If...»的定义域为（）.

A.«Skip Record If...»

B.«Skip Record If...»

C.«Skip Record If...»

D.«Skip Record If...»

4.点«Skip Record If...»到平面«Skip Record If...»的距离为（）.

A.3

B.4

C.5

D.6

5.函数«Skip Record If...»的极大值为（）.

A.0

B.1

C.«Skip Record If...»

D.«Skip Record If...»

6.设«Skip Record If...»，则«Skip Record If...»（）.

A.6

B.7

C.8

D.9

7.若几何级数«Skip Record If...»是收敛的，则（）.

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