高职高等数学试题库补考

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1、学院、系专业班级学号姓名············································密································封·······························线···································山东英才学院学年第一学期√《高等数学》期末模拟考试二年级专业层次：普通高职普通本科（本试卷考试时间120分钟满分100分）题号一二三四五总分复核得分得分阅卷人一、选择题（每题3分，共18分）1、函数的定义域是（）A、（）B、（，2）C、[D、[2、=（）A、0B、1C

2、、不存在D、23、设，则=（）A、B、0C、1D、4、下列等式成立的是（）A、B、C、D、5、设=在x=0处连续，则a=（）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、=（）A、B、C、D、得分阅卷人二、填空题（每题3分，共18分）7、8、函数的间断点是9、若函数在点可导，且取得

3、极值，则必有10、求不定积分11、曲线在点处的切线方程是得分阅卷人12、三、计算题（共52分）13、（5分）求14、（5分）求第5页共5页学院、系专业班级学号姓名············································密································封·······························线···································学院、系专业班级学号姓名······························密······················

4、··········封·······························线···································15、（6分）求16、（6分）求函数的单调区间和极值。17、（6分）设函数y=，求微分dy。第5页共5页学院、系专业班级学号姓名············································密································封·······························线···································18、（

5、6分）求曲线在点处的切线方程。19、（6分）求。20、（6分）计算不定积分。第5页共5页学院、系专业班级学号姓名············································密································封·······························线···································21、（6分）求得分阅卷人四、应用题（共6分）22、某工厂计划沿着院墙修建2个尺寸相同的车间，现有建筑材料只能修建36米长的墙，问每个车间如何设计才能使其面积最大，两个车间的最大面

6、积总共多少。得分阅卷人五、证明题（共6分）23、试证明：在区间上，有恒成立。第5页共5页