重庆理工大学2014-2015高数期末考试A卷

-1-重庆理工大学考试试卷2013~2014学年第一学期年级学号姓名考试科目高等数学[(1)经管]A卷共3页··································································密························封························线········································································学生答题不得超过此线1、设函数xaxxfsin,则A.xf为奇函数B.xf为偶函数C.xf为非奇非偶函数D.xf的奇偶性与参数a有关2、设函数21fxxx，则)(xfA.)1(xxB．)1(xxC.)2(1xxD．)2(1xx3、极限22x3x9limx2x3=A．0B．23C．32D．924、若0x时函数xf为2x的高阶无穷小量，则20()limxfxx=A．0B．12C．1D．∞5、方程0123xx在下列区间（）内有根A.[-4,-1]B.[-2,0]C.[0,2]D.[1,5]6、设函数xf满足21,01ff，则0(1)limxfxx=A.0B.1C.2D.不存在7、设函数xf在区间[a,b]上可导，且0xf，0bf,则在[a,b]上xfA.恒大于零B.恒小于零C.恒等于零D.有正有负8、设函数2931fxxxx，则高阶导数(12)fx=A．12!B．11!C．10!D．09、设极限10lim(12)axxxe，则常数aA.2B.21C.12D.210、设函数xf连续，()()daxxtftt,则()x=A.xxfB．xafC．xxfD．xaf题号一二三四总分总分人分数得分一、单项选择题（请将答案填入下表）（共10小题，每小题2分，共20分）题号12345678910评卷人答案-2-重庆理工大学考试试卷2012~2013学年第一学期年级学号姓名考试科目高等数学[(1)经管]A卷共3页·····································································密························封························线·····································································学生答题不得超过此线二、填空题（共8空，每空2分，共16分）1、函数xf2xx5ln的定义域是___________。2、极限0sinlim(1)ln(1)xxxx__________。3、设函数xfcos,02(1),0xxxaaxxx,xf在0x处连续，则a。4、若3d3exfxxC，则xf。5、函数43413fxxx在区间［-1,1］上的最小值为。6、某产品产量为q时总成本120011002qqC，则1200q时的边际成本为。7、设函数223xeyx，则微分dy。8、设函数xf在(,)上连续，且对任意的x，有30542xdtttfx，则xf________。三、计算题（共9小题，每小题6分，共54分）1、求极限：3113lim().11xxx－－－2、求极限：1ln(2)limcos2xxx3、设函数xeyarcsin，求dy4、求曲线2exyx的凹凸区间及拐点5、求函数xxey32的单调区间6、计算定积分11x0edx得分评卷人得分评卷人-3-重庆理工大学考试试卷2012~2013学年第一学期年级学号姓名考试科目高等数学[(1)经管]A卷共3页·····································································密························封························线·····································································学生答题不得超过此线7、求定积分dxxx2032sincos8、设函数xf可导，且xfcos2cos4cosxx，20f，求xf.9、设函数21,01()1,0xxfxxx，计算定积分11()dfxx得分四、证明题（共2小题，每小题5分，共10分）评卷人1、证明：当0x时，3arctan3xxx2、已知xf在aa,上连续，且xfxf，证明：0)(dxxfaa