文档介绍：2007年河南省普通高等学校选拔优秀专科生进入本科阶段学习考试《高等数学》试卷核分人六总分题号三四五一二分数50分)(每题2分,,、错选或多选者,}5,4,{3)((x)?arcsin(?1)?3?f().]31,[],3]2[0,]3[2[0,x0?,与()?e)x1?ln(1x?(x)?arctanx()(1?2h)?f(1?h)?1x?,则处可导,)ff(x)?(h0h?()A.-1B.-2C.-3D.-4???,则在区间内,)?)0x(x)?0,ff((fx)(fx)a)a,b,b((形()?y?的拐点是曲线7.().)1(1,(0,0))(0(11),0,2?2xf(x)?的水平渐近线是().?yy?y??y??33332x?tantdt0?lim(9.)4x0x?)(是则下列等式正确的是的原函数,)x(g)x(f???)dx?f(x(x)dx?g(x)?C)g(xf?????g(xdx?f(x)?C)f?(xg)(x)?11.)(?dxx)cos(1??3x)?sin(1?3x)?C?sin()??3C?sin(1?3x)?x3sin(1x??dt)t?y?3(t?1)()(,则?(y0)0A.-3B.-()???????????误是计算结果对不定积分错,)(1Cx?tanx??tanx?xtanC??cot2xcotx?.)的平均值为(?],3[)()4?2,(3,?0?2y?3x?2y0?z??3y?22?zx??1???0?y?)(222222zy?xz?xy1??1??)xz()(x?yyz?1?????3?lim?)18.(xy0x?0?.?66z?y?,则()?y?)1,e(?32)(所确定的隐函数为,?y??)yx,z?f(x???3xz3y2xz3xz2y??32?2C??,则x?y)(0,0)1(1,C)(A.-)(??11???nlnn2n?2?n?1?1??)(lnnnnnn2?n2n??1?n)(的收敛区间为)x?1(1?n30n?.)4,4)2((?3,3)?(?2(?1,1),?x??????exyy?3ycos?)(x?x)osxe?(?x2?)sinxcosxx)x?eC(osx?????0)?(xfxeyy??,则的解,)(xfy?f(x)00())2分,共30二、填空题(每题分_________.,?1]f(x)?f(x)?2x?5f[n2lim?.!n??nx4?0?3e,x??a0x?,?x)f(?a0x?x?,2?2?22??x?yx,?y?MM________的坐标为)(200712x??0)(fef(?x)_________,则设30.?3tx?1?dy?,则?2dxy?2t?t?1?1?t2a?b?1?xbx?xf()ax?_____,______,则2处取得极值在若函数32.?)(fx?_________33.?dx)f(x12??1