高考答案重庆市数学试卷

高考答案重庆市数学试卷一、选择题（每题1分，共10分）

1.下列各题中，正确的是（）

A.若\(a>0\)，\(b<0\)，则\(a-b>0\)

B.若\(a>0\)，\(b>0\)，则\(\frac{a}{b}>0\)

C.若\(a>0\)，\(b<0\)，则\(\frac{a}{b}<0\)

D.若\(a<0\)，\(b<0\)，则\(\frac{a}{b}>0\)

2.下列各题中，正确的是（）

A.若\(a<b\)，则\(-a>-b\)

B.若\(a<b\)，则\(\frac{a}{b}<\frac{b}{a}\)

C.若\(a<b\)，则\(\frac{a}{c}<\frac{b}{c}\)

D.若\(a<b\)，则\(\sqrt{a}<\sqrt{b}\)

3.下列各题中，正确的是（）

A.若\(a>b\)，则\(a^2>b^2\)

B.若\(a>b\)，则\(\sqrt{a}>\sqrt{b}\)

C.若\(a>b\)，则\(\frac{a}{b}>1\)

D.若\(a>b\)，则\(\log_ab>1\)

4.下列各题中，正确的是（）

A.若\(a>0\)，\(b>0\)，则\(\sqrt{a}+\sqrt{b}>\sqrt{a+b}\)

B.若\(a>0\)，\(b>0\)，则\(\sqrt{a}-\sqrt{b}>\sqrt{a-b}\)

C.若\(a>0\)，\(b>0\)，则\(\frac{a}{\sqrt{a}+\sqrt{b}}>\frac{b}{\sqrt{a}+\sqrt{b}}\)

D.若\(a>0\)，\(b>0\)，则\(\frac{a}{\sqrt{a}-\sqrt{b}}>\frac{b}{\sqrt{a}-\sqrt{b}}\)

5.下列各题中，正确的是（）

A.若\(a>0\)，\(b>0\)，则\(\frac{a}{b}>\sqrt{a}\cdot\sqrt{b}\)

B.若\(a>0\)，\(b>0\)，则\(\frac{a}{b}<\sqrt{a}\cdot\sqrt{b}\)

C.若\(a>0\)，\(b>0\)，则\(\frac{a}{b}>\frac{\sqrt{a}}{\sqrt{b}}\)

D.若\(a>0\)，\(b>0\)，则\(\frac{a}{b}<\frac{\sqrt{a}}{\sqrt{b}}\)

6.下列各题中，正确的是（）

A.若\(a>0\)，\(b>0\)，则\(\frac{a}{b}>\frac{b}{a}\)

B.若\(a>0\)，\(b>0\)，则\(\frac{a}{b}<\frac{b}{a}\)

C.若\(a>0\)，\(b>0\)，则\(\frac{a}{b}>\frac{\sqrt{a}}{\sqrt{b}}\)

D.若\(a>0\)，\(b>0\)，则\(\frac{a}{b}<\frac{\sqrt{a}}{\sqrt{b}}\)

7.下列各题中，正确的是（）

A.若\(a>0\)，\(b>0\)，则\(\frac{a}{b}>\frac{b}{a}\)

B.若\(a>0\)，\(b>0\)，则\(\frac{a}{b}<\frac{b}{a}\)

C.若\(a>0\)，\(b>0\)，则\(\frac{a}{b}>\frac{\sqrt{a}}{\sqrt{b}}\)

D.若\(a>0\)，\(b>0\)，则\(\frac{a}{b}<\frac{\sqrt{a}}{\sqrt{b}}\)

8.下列各题中，正确的是（）

A.若\(a>0\)，\(b>0\)，则\(\frac{a}{b}>\frac{b}{a}\)

B.若\(a>0\)，\(b>0\)，则\(\frac{a}{b}<\frac{b}{a}\)

C.若\(a>0\)，\(b>0\)，则\(\frac{a}{b}>\frac{\sqrt{a}}{\sqrt{b}}\)

D.若\(a>0\)，\(b>0\)，则\(\frac{a}{b}<\frac{\sqrt{a}}{\sqrt{b}}\)

9.下列各题中，正确的是（）

A.若\(a>0\)，\(b>0\)，则\(\frac{a}{b}>\frac{b}{a}\)

B.若\(a>0\)，\(b>0\)，则\(\frac{a}{b}<\frac{b}{a}\)

C.若\(a>0\)，\(b>0\)，则\(\frac{a}{b}>\frac{\sqrt{a}}{\sqrt{b}}\)

D.若\(a>0\)，\(b>0\)，则\(\frac{a}{b}<\frac{\sqrt{a}}{\sqrt{b}}\)

10.下列各题中，正确的是（）

A.若\(a>0\)，\(b>0\)，则\(\frac{a}{b}>\frac{b}{a}\)

B.若\(a>0\)，\(b>0\)，则\(\frac{a}{b}<\frac{b}{a}\)

C.若\(a>0\)，\(b>0\)，则\(\frac{a}{b}>\frac{\sqrt{a}}{\sqrt{b}}\)

D.若\(a>0\)，\(b>0\)，则\(\frac{a}{b}<\frac{\sqrt{a}}{\sqrt{b}}\)

二、多项选择题（每题4分，共20分）

1.下列函数中，属于一次函数的有（）

A.\(y=2x-3\)

B.\(y=\sqrt{x}\)

C.\(y=3x^2+2\)

D.\(y=\frac{1}{x}+4\)

2.下列各题中，正确的是（）

A.若\(a>0\)，\(b>0\)，则\(\sqrt{a}+\sqrt{b}>\sqrt{a+b}\)

B.若\(a>0\)，\(b>0\)，则\(\sqrt{a}-\sqrt{b}>\sqrt{a-b}\)

C.若\(a>0\)，\(b>0\)，则\(\frac{a}{\sqrt{a}+\sqrt{b}}>\frac{b}{\sqrt{a}+\sqrt{b}}\)

D.若\(a>0\)，\(b>0\)，则\(\frac{a}{\sqrt{a}-\sqrt{b}}>\frac{b}{\sqrt{a}-\sqrt{b}}\)

3.下列各题中，正确的是（）

A.若\(a>0\)，\(b>0\)，则\(\frac{a}{b}>\sqrt{a}\cdot\sqrt{b}\)

B.若\(a>0\)，\(b>0\)，则\(\frac{a}{b}<\sqrt{a}\cdot\sqrt{b}\)

C.若\(a>0\)，\(b>0\)，则\(\frac{a}{b}>\frac{\sqrt{a}}{\sqrt{b}}\)

D.若\(a>0\)，\(b>0\)，则\(\frac{a}{b}<\frac{\sqrt{a}}{\sqrt{b}}\)

4.下列各题中，正确的是（）

A.若\(a>0\)，\(b>0\)，则\(\frac{a}{b}>\frac{b}{a}\)

B.若\(a>0\)，\(b>0\)，则\(\frac{a}{b}<\frac{b}{a}\)

C.若\(a>0\)，\(b>0\)，则\(\frac{a}{b}>\frac{\sqrt{a}}{\sqrt{b}}\)

D.若\(a>0\)，\(b>0\)，则\(\frac{a}{b}<\frac{\sqrt{a}}{\sqrt{b}}\)

5.下列各题中，正确的是（）

A.若\(a>0\)，\(b>0\)，则\(\frac{a}{b}>\frac{b}{a}\)

B.若\(a>0\)，\(b>0\)，则\(\frac{a}{b}<\frac{b}{a}\)

C.若\(a>0\)，\(b>0\)，则\(\frac{a}{b}>\frac{\sqrt{a}}{\sqrt{b}}\)

D.若\(a>0\)，\(b>0\)，则\(\frac{a}{b}<\frac{\sqrt{a}}{\sqrt{b}}\)

三、填空题（每题4分，共20分）

1.若\(a=2\)，\(b=-3\)，则\(a^2+b^2=\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\

四、计算题（每题10分，共50分）

1.计算下列函数的值：

\(f(x)=3x^2-4x+5\)，当\(x=2\)时，\(f(x)\)的值为多少？

2.解下列一元二次方程：

\(x^2-5x+6=0\)，求方程的解。

3.求下列函数的定义域：

\(f(x)=\frac{x^2-4}{x-2}\)，确定函数的定义域。

4.计算下列函数的导数：

\(g(x)=2x^3-3x^2+4x-1\)，求\(g'(x)\)。

5.求下列函数的极值：

\(h(x)=x^3-6x^2+9x+1\)，求函数的极大值和极小值。

解答过程请自行完成。

本专业课理论基础试卷答案及知识点总结如下：

一、选择题答案及解题过程

1.B

解题过程：由于\(a>0\)，\(b>0\)，所以\(\frac{a}{b}\)是一个正数，故正确选项为B。

2.A

解题过程：由于\(a<b\)，则\(-a>-b\)，故正确选项为A。

3.D

解题过程：\(a>b\)，则\(a^2>b^2\)，因为平方会使得正数更