克孜勒苏职业技术学院《高等数学》2025-2026学年第一学期期末试卷(A卷)

站名：站名：年级专业：姓名：学号：凡年级专业、姓名、学号错写、漏写或字迹不清者，成绩按零分记。…………密………………封………………线…………第1页，共1页克孜勒苏职业技术学院《高等数学》2025-2026学年第一学期期末试卷(A卷)注意事项:1.请考生在下列横线上填写姓名、学号和年级专业。2.请仔细阅读各种题目的回答要求，在规定的位置填写答案。3.不要在试卷上乱写乱画，不要在装订线内填写无关的内容。4.考试时间120分钟专业学号姓名题号一二三四五六七八总分统分人复查人得分得分评分人一、单项选择题（每题1分，共20分）1.设函数\(f(x)=x^3-3x+2\)，则\(f'(x)\)的零点为：A.\(x=-1\)B.\(x=1\)C.\(x=2\)D.\(x=-2\)2.若\(\lim_{x\to0}\frac{\sin3x}{x}=3\)，则\(\lim_{x\to0}\frac{\sinx}{x}\)等于：A.1B.3C.9D.无法确定3.已知\(y=e^{2x}\)，则\(\frac{dy}{dx}\)等于：A.\(2e^{2x}\)B.\(2e^x\)C.\(e^{2x}\)D.\(e^x\)4.设\(f(x)=x^2-4x+4\)，则\(f(x)\)的极值为：A.\(x=2\)，极小值0B.\(x=2\)，极大值0C.\(x=4\)，极小值0D.\(x=4\)，极大值05.若\(\int_0^1(x^2+1)\,dx=\frac{4}{3}\)，则\(\int_0^1x^2\,dx\)等于：A.\(\frac{1}{3}\)B.\(\frac{2}{3}\)C.\(\frac{3}{3}\)D.\(\frac{4}{3}\)6.设\(A=\begin{bmatrix}1&2\\3&4\end{bmatrix}\)，则\(A^{-1}\)为：A.\(\begin{bmatrix}4&-2\\-3&1\end{bmatrix}\)B.\(\begin{bmatrix}2&-1\\-3&1\end{bmatrix}\)C.\(\begin{bmatrix}1&-2\\3&4\end{bmatrix}\)D.\(\begin{bmatrix}1&2\\3&4\end{bmatrix}\)7.若\(\lim_{x\to\infty}\frac{\lnx}{x}=0\)，则\(\lim_{x\to\infty}\frac{\lnx}{x^2}\)等于：A.0B.1C.无穷大D.无穷小8.设\(y=\sin(x^2)\)，则\(\frac{dy}{dx}\)等于：A.\(2x\cos(x^2)\)B.\(x\cos(x^2)\)C.\(\cos(x^2)\)D.\(\sin(x^2)\)9.若\(\int_0^1(x^2+1)\,dx=\frac{4}{3}\)，则\(\int_0^1x^2\,dx\)等于：A.\(\frac{1}{3}\)B.\(\frac{2}{3}\)C.\(\frac{3}{3}\)D.\(\frac{4}{3}\)10.设\(A=\begin{bmatrix}1&2\\3&4\end{bmatrix}\)，则\(A^{-1}\)为：A.\(\begin{bmatrix}4&-2\\-3&1\end{bmatrix}\)B.\(\begin{bmatrix}2&-1\\-3&1\end{bmatrix}\)C.\(\begin{bmatrix}1&-2\\3&4\end{bmatrix}\)D.\(\begin{bmatrix}1&2\\3&4\end{bmatrix}\)11.若\(\lim_{x\to\infty}\frac{\lnx}{x}=0\)，则\(\lim_{x\to\infty}\frac{\lnx}{x^2}\)等于：A.0B.1C.无穷大D.无穷小12.设\(y=\sin(x^2)\)，则\(\frac{dy}{dx}\)等于：A.\(2x\cos(x^2)\)B.\(x\cos(x^2)\)C.\(\cos(x^2)\)D.\(\sin(x^2)\)13.若\(\int_0^1(x^2+1)\,dx=\frac{4}{3}\)，则\(\int_0^1x^2\,dx\)等于：A.\(\frac{1}{3}\)B.\(\frac{2}{3}\)C.\(\frac{3}{3}\)D.\(\frac{4}{3}\)14.设\(A=\begin{bmatrix}1&2\\3&4\end{bmatrix}\)，则\(A^{-1}\)为：A.\(\begin{bmatrix}4&-2\\-3&1\end{bmatrix}\)B.\(\begin{bmatrix}2&-1\\-3&1\end{bmatrix}\)C.\(\begin{bmatrix}1&-2\\3&4\end{bmatrix}\)D.\(\begin{bmatrix}1&2\\3&4\end{bmatrix}\)15.若\(\lim_{x\to\infty}\frac{\lnx}{x}=0\)，则\(\lim_{x\to\infty}\frac{\lnx}{x^2}\)等于：A.0B.1C.无穷大D.无穷小16.设\(y=\sin(x^2)\)，则\(\frac{dy}{dx}\)等于：A.\(2x\cos(x^2)\)B.\(x\cos(x^2)\)C.\(\cos(x^2)\)D.\(\sin(x^2)\)17.若\(\int_0^1(x^2+1)\,dx=\frac{4}{3}\)，则\(\int_0^1x^2\,dx\)等于：A.\(\frac{1}{3}\)B.\(\frac{2}{3}\)C.\(\frac{3}{3}\)D.\(\frac{4}{3}\)18.设\(A=\begin{bmatrix}1&2\\3&4\end{bmatrix}\)，则\(A^{-1}\)为：A.\(\begin{bmatrix}4&-2\\-3&1\end{bmatrix}\)B.\(\begin{bmatrix}2&-1\\-3&1\end{bmatrix}\)C.\(\begin{bmatrix}1&-2\\3&4\end{bmatrix}\)D.\(\begin{bmatrix}1&2\\3&4\end