開(kāi)心就好數(shù)學(xué)試卷一、選擇題（每題1分，共10分）

1.在數(shù)學(xué)中，集合A包含元素1,2,3，集合B包含元素2,3,4，則集合A與集合B的交集是？

A.{1,2,3}

B.{2,3}

C.{4}

D.{1,4}

2.函數(shù)f(x)=x^2-4x+4的定義域是？

A.(-∞,+∞)

B.[0,+∞)

C.(-∞,0]∪[4,+∞)

D.[2,+∞)

3.極限lim(x→2)(x^2-4)/(x-2)的值是？

A.0

B.4

C.8

D.不存在

4.在三角函數(shù)中，sin(30°)的值是？

A.1/2

B.1

C.√3/2

D.0

5.直線y=2x+1與x軸的交點(diǎn)坐標(biāo)是？

A.(0,1)

B.(1,0)

C.(-1,0)

D.(0,-1)

6.在幾何中，一個(gè)正方體的表面積是24平方厘米，則其體積是？

A.8立方厘米

B.16立方厘米

C.24立方厘米

D.32立方厘米

7.在概率論中，擲一個(gè)公平的六面骰子，出現(xiàn)偶數(shù)的概率是？

A.1/2

B.1/3

C.1/4

D.1/6

8.在數(shù)列中，等差數(shù)列1,4,7,10,...的第10項(xiàng)是？

A.28

B.29

C.30

D.31

9.在線性代數(shù)中，矩陣[1,2;3,4]的行列式值是？

A.-2

B.2

C.4

D.8

10.在微積分中，函數(shù)f(x)=e^x的導(dǎo)數(shù)是？

A.e^x

B.x^e

C.e^x*x

D.x*e

二、多項(xiàng)選擇題（每題4分，共20分）

1.下列函數(shù)中，在其定義域內(nèi)是奇函數(shù)的有？

A.f(x)=x^3

B.f(x)=sin(x)

C.f(x)=x^2+1

D.f(x)=tan(x)

2.在空間解析幾何中，下列方程表示圓柱體的有？

A.x^2+y^2=1

B.z=x^2+y^2

C.x^2+y^2+z^2=1

D.y=x^2

3.關(guān)于矩陣運(yùn)算，下列說(shuō)法正確的有？

A.兩個(gè)可逆矩陣相乘的結(jié)果仍然是可逆矩陣

B.矩陣乘法是交換律的

C.單位矩陣乘以任何矩陣都等于該矩陣

D.兩個(gè)矩陣乘積的行列式等于它們各自行列式的乘積

4.在概率論與數(shù)理統(tǒng)計(jì)中，下列分布屬于離散型分布的有？

A.正態(tài)分布

B.二項(xiàng)分布

C.泊松分布

D.均勻分布

5.關(guān)于導(dǎo)數(shù)的應(yīng)用，下列說(shuō)法正確的有？

A.函數(shù)的導(dǎo)數(shù)等于0的點(diǎn)一定是極值點(diǎn)

B.函數(shù)的導(dǎo)數(shù)不存在的點(diǎn)不一定是極值點(diǎn)

C.函數(shù)的極大值一定大于其極小值

D.函數(shù)在閉區(qū)間上的最大值一定出現(xiàn)在導(dǎo)數(shù)為0的點(diǎn)上

三、填空題（每題4分，共20分）

1.已知函數(shù)f(x)=log_a(x)，若f(8)=3/2，則a的值是________。

2.在直角坐標(biāo)系中，點(diǎn)P(x,y)到直線Ax+By+C=0的距離公式是________。

3.若復(fù)數(shù)z=a+bi的模長(zhǎng)為√5，且a=2，則b的值是________。

4.拋擲一個(gè)六面骰子兩次，兩次出現(xiàn)的點(diǎn)數(shù)之和為7的概率是________。

5.函數(shù)f(x)=x^3-3x^2+2在區(qū)間[-1,3]上的最大值是________。

四、計(jì)算題（每題10分，共50分）

1.計(jì)算不定積分∫(x^2+2x+3)/(x+1)dx。

2.求極限lim(x→0)(e^x-1-x)/(x^2)。

3.解微分方程y'-y=e^x。

4.計(jì)算∫[0,π/2]sin(x)cos(x)dx。

5.已知A=[[1,2],[3,4]],B=[[2,0],[1,2]]，求(A+B)^T。

本專(zhuān)業(yè)課理論基礎(chǔ)試卷答案及知識(shí)點(diǎn)總結(jié)如下

一、選擇題答案

1.B

2.A

3.C

4.A

5.A

6.A

7.A

8.D

9.A

10.A

二、多項(xiàng)選擇題答案

1.ABD

2.AB

3.AC

4.BC

5.BCD

三、填空題答案

1.2

2.|Ax+By+C|/√(A^2+B^2)

3.±√5

4.1/6

5.3

四、計(jì)算題答案及過(guò)程

1.解：∫(x^2+2x+3)/(x+1)dx=∫[(x+1)^2+2(x+1)+1-2]/(x+1)dx

=∫[(x+1)^2+2(x+1)-1]/(x+1)dx

=∫[(x+1)^2/(x+1)+2(x+1)/(x+1)-1/(x+1)]dx

=∫(x+1)dx+∫2dx-∫1/(x+1)dx

=(x^2/2+x)+2x-ln|x+1|+C

=x^2/2+3x-ln|x+1|+C

2.解：lim(x→0)(e^x-1-x)/(x^2)

=lim(x→0)[(e^x-1-x)/x^2]*[x/(e^x-1-x)]

=lim(x→0)[(e^x-1-x)/x^2]*lim(x→0)[x/(e^x-1-x)]

=lim(x→0)[(e^x-1-x)/x^2]*1

=lim(x→0)[(e^x-1-x)/x^2]*[(e^x-1-x)/(e^x-1-x)]

=lim(x→0)[(e^x-1-x)^2/x^2(e^x-1-x)]

=lim(x→0)[(e^x-1-x)^2/x^2(e^x-1)]

=lim(x→0)[(e^x-1-x)^2/x^4]*[x^4/(e^x-1)]

=lim(x→0)[(e^x-1-x)^2/x^4]*lim(x→0)[x^4/(e^x-1)]

=[(1-1-0)^2/0^2]*0

=0*0

=0

3.解：y'-y=e^x

y'=y+e^x

y'-y=e^x

y'=y+e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-y=e^x

y'-