大学高等数学上考试题库附答案.doc

《高数》试卷1(上)(将答案代号填入括号内,每题3分,共30分).,是相同的函数的是().????????22xg?x|?|fxxf?lnx和gxxx?2ln(A)(B)和|x|??2????????x?xg?fx??xfxxg1和(D)(C)和x?24?sinx?0x???????fxa?x1ln?0?x(处连续,则).??ax?0?1(A)0(B)(C)1(D)24y?xlnxx?y?1?0的切线方程为().????1?xlnx?1y?y?x1y?x?1)??(x?y)((B)(C)(A)D???|xf|xx?0处(,).(A)连续且可导(B)连续且可微(C)连续不可导(D)不连续不可微4xy?0?x.)是函数的()驻点且是极值点(C(B)拐点()驻点且是拐点(A)驻点但非极值点1?y的渐近线情况是(.曲线).6|x|(A)只有水平渐近线(B)只有垂直渐近线(C)既有水平渐近线又有垂直渐近线(D)既无水平渐近线又无垂直渐近线11????dxf的结果是(.7).??2xx??1111?????????CCf?f?CfC???f??)(C(AD)B()()????????xxxx????????dx?的结果是()8..x?xe?ex?xx?x?xx)?eln(C?eC?Carctane?arctane?C?eeA()(B()(C)D).).下列定积分为零的是(9.??xx?ee?xarctan11??2????dxsinx?xxdxdxxdxxarcsin44)D(A)(B()(C)??22x1?1?1???441??????dx2fxxf.)为连续函数,(011????????????????02??fff0f10?f0f2f11?f????)(A)(B)(C)D(????(每题4分,共20分)?2x??1ex?0???a?0x??,??0?ax?5???????y?f2xf2?,??xdx??.4.??2x1?xln???4?dxx?xx?cossin2..5??(每小题5分,共30分)?sinx1???limlim②①????2xx??1?xe0?x??x???y?ln?????x??0a?dxxe①②③????3x?1?x22ax?(每题10分,共20分)32x3y?x?.??2xy?x?《高数》?cx?arctanln2?..?y?e2.②1①xx?y?161x?1??x?22?1C?ex?C|ln|?C|?ln|x?ax?③3.①②32??《高数》试卷2(上)(将答案代号填入括号内,每题3分,共30分),是相同函数的是().2?1x??????2?xfxgx?xx?f1??xy(B)和和(A)1?x????????222?2lnxxx)fgfxxx?xg?xx?(sinlnx?cos(D)(C)和和??1?xsin2?x?1?x?1???????limfx?2x?.(,则)?x?1?2?1xx?1???(A)0(B)1(C)2(D)不存在???????????xy?y?ffx,fxfxxx处的切处可导,>0,000}.线的倾斜角为{?(C)锐角(A)0(B)(D)钝角2y?lnxy?2x?3,曲线则该点坐标是(上某点的切线平行于直线).????????,?,ln2ln2ln?2,ln2,(B)(D)(C)(A)????????2222??????????x2?,21exy?内是().(A)单调减少且是凸的(B)单调增加且是凸的(C)单调减少且是凹的(D)().????xfyy?f?,则(A)若为函数00????xyy?f?,(B)????????xfxy?ffxx=(C)若函数在,处取得极值,000?????xxffy?(D),001????2xyff?xexx).=(,则1111????xe2e?2xe?x2