山东英才学院2011~2012学年第一学期

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1、学院、系专业班级学号姓名······························密································封·······························线···································山东英才学院2011～2012学年第一学期√《高等数学》期末考试试卷年级专业层次：普通高职普通本科（本试卷考试时间120分钟满分100分）题号一二三四五六总分复核得分得分阅卷人一、单项选择题:1-6小题，每小题3分，共18分.1．的定义域为().A．B．C．D．2．设函数在上是连续函数，则().

2、A．B．0C．D．13．设且,则：().A.4B.3C.2D.14．设，则的范围是()．A．B．C．D．5．不定积分().A．B．C．D．第5页共5页学院、系专业班级学号姓名······························密································封·······························线···································6．函数在点连续是在处可导的().A．无关条件B．充要条件C．充分非必要条件D．必要非充分条件得分阅卷人二、填空题:7-12小题，每小题3分，共1

3、8分.7．求.8．函数的间断点是.9．求由参数表达式，所确定的函数对的导数.10．求不定积分.11．定积分.12．微分方程的通解为.得分阅卷人三、计算题（一）:共5小题，每小题6分，共30分.（写清解题步骤）13．利用等价无穷小替换原理求极限.第5页共5页学院、系专业班级学号姓名······························密································封·······························线···································14．求极限.15．求函数的微分.16.

4、求函数的拐点及凹、凸区间.17．求不定积分.第5页共5页学院、系专业班级学号姓名······························密································封·······························线···································得分阅卷人四、计算题（二）:共3小题，每小题7分，共21分.（写清解题步骤）18．计算反常积分.19.计算积分.20．求微分方程满足条件的特解.第5页共5页学院、系专业班级学号姓名······························

5、密································封·······························线···································得分阅卷人五、证明题:本题6分.（写清证明步骤）21．设在区间上连续，且，证明：(1)；　　　(2)方程在区间内有且仅有一个根．得分阅卷人六、应用题:本题7分.（写清解答步骤）22.计算抛物线与直线所围成的图形的面积.第5页共5页