地大23春微积分(一)-模拟题非答案

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发表于 2023-3-30 09:42:03 | 显示全部楼层 |阅读模式

答案来源:www.ybaotk.com《微积分(一)》模拟题一.单选题1.求极限(-??

2

?1

)

A.-1

B.0

C.1

D.∞

[答案]:B2.求极限lim

??→01+??

?13

1+??

?1

A.0

B.1

C.1/2

D.3/2

[答案]
3.设函数,在,内连续,求??的值.

A.5

B.6

,.7

D.8

[答案]
4.求函数y=

x

2

+3??+1,当??=1,?x=0.1时的增量?y.

A.0.1

B.0.2

C.0.3

D.0.4

[答案]
5.求极限(

A.1

B.1/2

C.1/3

D.1/4

[答案]:B6.求极限lim

??→∞????????

1??

2A.-1

B.0

C.1

D.2

[答案]:B7.求极限lim

??→0

????????????

??

2??????????

A.1

B.2

C.3

D.4

[答案]:A8.设,.

A.-1

B.0

C.1

,.∞

[答案]:B

[,级属性],

[二级属性]:

[难度]:

[公开度]:9.设,.

A.-1

B.0

C.1

,.2

[答案]

[一级属性]:

,二级属性,:

[难度]:

[公开度]:10.求极限(.

A.-1

B.0

C.1

D.∞

[答案]:C11.求极限

A.-1

B.0

C.1

D.∞

[答案]:B12.求极限

A.1

B.1/2

C.1/3

D.1/4

[答案]:B13.求极限

A.0

B.1

C.2

D.3

[答案]:B14.求极限

A.0

B.1/4

C.1/3

D.3/4

[答案]
15.

A.1

B.2

C.3

D.4

[答案]:C16.求极限

A.-1

B.0

C.1

D.∞

[答案]:B17.求极限

A.-1

B.0

C.1

D.∞

[答案]:B18.求极限

A.-1

B.0

C.1

D.∞

[答案]:B19.求极限

A.-1

B.0

C.1

D.∞

[答案]:B20.求极限

A.-1

B.0

C.1

D.∞

[答案]:B21.求极限

A.-1

B.0

C.1

D.∞

[答案]:B22.求极限

A.-1

B.0

C.1

D.∞

[答案]:D23.求极限

A.-1

B.0

C.1

D.∞

[答案]:D24.求极限

A.-1

B.0

C.1

D.∞

[答案]:D25.若,求a的值

A.1

B.2

C.3

D.4

[答案]:B26.若,求a,b的值

A.a=1,b=-2

B.a=-1,b=-2

C.a=1,b=2

D.a=-1,b=2

[答案]:A27.求极限

A.-1

B.0

C.1

D.2

[答案]:C28.求极限

A.0

B.1/2

C.1/3

D.1/4

[答案]:C29.求极限

A.0

B.1/2

C.1/3

D.1/4

[答案]:B30.求极限

A.0

B.1

C.2

D.3

[答案]:A31.求极限lim

??→∞

3

??

2

+1

4

??

2

+???1

.A.1/4

B.1/5

C.2/5

D.3/4

[答案]:D32.求极限lim

??→∞(3?

1

??

)(2+

1??

2)

.

A.3

B.4

C.5

D.6

[答案]:D33.求极限lim

??→13

1?

??

3?

1

1???。

.

A.1/2

B.1/3

C.1/4

D.1/5

[答案]:B34.求极限lim

??→1??

2

?3??+1??

2

?2.

A.1

B.2

C.3

D.4

[答案]:D35.求极限lim

??→1??

2

?3??+1??

2

?2.

A.-1

B.0

C.1

D.2

[答案]:C36.求极限lim

??→2(3

x

2

?2x+4)

.

A.11

B.12

C.13

D.14

[答案]:B37.求极限lim

??→0??

??

?

??

?????.

A.-1

B.0

C.1

D.2

[答案]:D38.y=

??

3

?3

??

2

+7的极大值是(),极小值是().

A.5,2

B.7,3

C.6,3

D.5,4

[答案]:B39.设f

x

=

ln1+x,则

f

′′0

=().

A.-1

B.0

C.1

D.2

[答案]:A40.曲线y=

1??在点(1,1)处切线的斜率是().

A.-1/3

B.-1/2

C.1/3

D.1/4

[答案]:B41.设,则=()

A.-1

B.0

C.1

D.2

[答案]:B42.若求a,b的值

A.a=1,b=-1

B.a=1,b=0

C.a=0,b=-1

D.a=-1,b=1

[答案]:A43.

A.1/6

B.1/5

C.1/4

D.1/3

[答案]:A44.已知求a的值

A.5

B.6

C.7

D.8

[答案]:C45.

A.-1

B.0

C.1

D.2

[答案]:C46.计算

A.-1.25

B.0.5

C.0

D.1.25

[答案]:D47.求

A.-1

B.-1.5

C.0

D.0.5

[答案]:B48.

A.-1

B.0

C.1

D.2

[答案]:B49.设,则a=(),b=()

A.1

B.2

C.3

D.4

[答案]:C50.函数的间断点是()

A.-1

B.0

C.1

D.2

[答案]:A51.设若函数f(x)在其定义域内连续,则k=()

A.1

B.2

C.3

D.4

[答案]:A52.若,则m=()

A.1

B.2

C.3

D.4

[答案]:D53.=()

A.-1

B.0

C.1

D.2

[答案]:C54.=()

A.-1

B.0

C.1

D.2

[答案]:B设f(x)的定义域是[0,1],求的定义域,由原函数定义域知道后者函数的范围是[0,1],进而得到x的范围

A.[-1,1]

B.[0,-1]

C.[1,-1]

D.[0,1]

[答案]:A56.的定义域为,值域为().

A.[-1,1]

B.[-1,0]

C.[0,1]

D.[-0.5,1]

[答案]:A57.下列函数中,那个不是映射().

A.

B.

C.

D.y=lnx(x>0)

[答案]:B58.曲线的渐近线条数为()

A.0

B.1

C.2

D.3

[答案]:D59.若,

??

??

+

??

??

=1,求

y



等于()

A.

B.

C.

D.

[答案]:B60.试求lim

??→0

2?

??+4??等于()

A.

B.0

C.1

D.

61.x=-1是函数(的()

A.跳跃间断点

B.可去间断点

C.无穷间断点

D.不是间断点

[答案]:C62.若函数在原函数,下列错误的等式是:

A.

B.

C.

D.

[答案]:B63.仅考虑收益与成本的情况下,获得最大利润的必要条件是:

A.

B.

C.

D.64.若函数f(x)在

??

0

处不可导,则下列说法正确的是:

A.f(x)在

??

0

处一定不连续

B.f(x)在

??

0

处一定不可微

C.f(x)在

??

0

处的左极限与右极限必有一个不存在

D.f(x)在

??

0

处的左导数与右导数必有一个不存在

[答案]:B65.x=0是函数的()

A.跳跃间断点

B.连续点

C.振荡间断点

D.可去间断点

[答案]:D66.设f(x)为偶函数,φ

??

为奇函数,且??

??(??)

有意义,则??

??(??)

是:

A.偶函数

B.奇函数

C.非奇非偶函数

D.可能奇函数也可能偶函数

[答案]:A67.若在处取得最大值,则必有()

A.

B.

C.且

D.不存在或

[答案]:B68.下列数列有极限并且极限为1的选项为()

A.

B.

C.

D.

[答案]:D69.x=0是函数的()

A.连续点

B.可去间断点

C.跳跃间断点

D.无穷间断点

[答案]:B二.判断题1.当时,为无穷小

[答案]:T2.无限个无穷小的和不一定是无穷小

[答案]:T3.两个无穷小的商不一定是无穷小;

[答案]:T4.无穷大与无穷大的积也是无穷大

[答案]:T5.无穷小与无穷大的积一定是无穷大

[答案]:F6.无穷小与无穷大的积一定是无穷大

[答案]:F7.

[答案]:T8.两个无穷大的和也是无穷大

[答案]:F9.两个无穷大的和也是无穷小

[答案]:T10.证明:的充分必要条件是且

[答案]:T11.

[答案]:T12.

[答案]:T13.

[答案]:T14.

[答案]:T15.

[答案]:T16.

[答案]:T17.证明:对任一数列,若且,则

[答案]:T18.若数列收敛,而数列发散,则数列必发散.

[答案]:T19.若数列和都发散,则数列必发散

[答案]:F20.

[答案]:T21.

[答案]:T三.计算题1.求导数

[答案]:解:2.求曲线经过原点的切线方程

[答案]:解::切线方程:y=x.3.已知,求

[答案]:解:4.设,其中在x=a处连续,求.

[答案]:解5.已知,则=()

[答案]:解:,.6.求曲线在点(1,2)处的切线方程.

[答案]:解:,切线方程:.7.求经过(2,0)的切线方程.

[答案]:设切点为(t,1/t),切线为,带入(2,0),t=1,切线为8.求导数

[答案]:解:9.用洛必达法则求极限

[答案]:解:原式=10.设和是连续函数,试证明和也是连续函数.

[答案]:证明:,.11.求下列函数的间断点,并指出类型

[答案]:解,x=0为跳跃间断点12.比较无穷小与

[答案]:,当时是的同阶高阶无穷小附件是答案,转载注明

答案来源:www.ybaotk.com

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