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1、大一高等数学期末考试试卷一、选择题(共12分)1.(3分)若为连续函数,则的值为().(A)1(B)2(C)3(D)-12.(3分)已知则的值为().(A)1(B)3(C)-1(D)3.(3分)定积分的值为().(A)0(B)-2(C)1(D)24.(3分)若在处不连续,则在该点处().(A)必不可导(B)一定可导(C)可能可导(D)必无极限二、填空题(共12分)1.(3分)平面上过点,且在任意一点处的切线斜率为的曲线方程为.2.(3分).3.(3分)=.4.(3分)的极大值为.三、计算题(共42分)1.(6分)求2.(6分)设求3.(6分)求不定积分4.(6分)求其中1.(6分)设函数由
2、方程所确定,求2.(6分)设求3.(6分)求极限四、解答题(共28分)1.(7分)设且求2.(7分)求由曲线与轴所围成图形绕着轴旋转一周所得旋转体的体积.3.(7分)求曲线在拐点处的切线方程.4.(7分)求函数在上的最小值和最大值.五、证明题(6分)设在区间上连续,证明标准答案一、1B;2C;3D;4A.二、1230;40.三、1解原式5分1分2解2分4分3解原式3分2分1分4解令则2分1分1分1分1分5两边求导得2分1分1分2分6解2分4分7解原式=4分=2分四、1解令则3分=2分2分1分2解3分2分2分3解1分令得1分当时,当时,2分为拐点,1分该点处的切线为2分4解2分令得1分2分最
3、小值为最大值为2分五、证明1分1分1分1分1分移项即得所证.1分(英文版)Tworegulationspromulgatedforimplementationisinthepartyinpowerforalongtimeandtheruleoflawconditions,theimplementationofcomprehensivestrictlystrategicplan,implementationinaccordancewiththerulesanddisciplinetomanagetheparty,strengtheninner-partysupervisionofmajori
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