2019年专升本高等数学考试题及答案1.doc

2101.()fx0x0lim()0xxfx()2.()fx()fx()3.()fx,aa()()fxfx(2)0aaxfxdx()4.2520xx(1,2)()5.()1fx0,10()21()xFxxftdt0,1()2101.21lim()2xxxx.2.211ln(),21xxyexdydx.3.12cosyx(,2)34.()arcsinxfxdxxc1()dxfx=.5.723423sin21xxdxxx=.2101.32yaxbx(1,3)A0abB0abC0abD0ab2xyxdydxA1xxxBlnxxxC(ln1)xxxDln1x3[()()]aaxfxfxdxA04()axfxdxB02[()()]axfxfxdxC0D420()(2)xfxttdt12xABCD5111:314xyzL:3xyzABCDL6481(cos)(sin),yxdyxydx2arctanxxdx341lnxdxx42303cossinxxdx5(1,1,1),(2,2,2),(1,1,3)ABCAB,CABMMC61201xdxx71y11xxyedx8()()()xuyuuu()0u22dydx821ln(1)1xxxxx8a21yxaxa0,2,0xxyx6()cos0()0gxxxfxxax()gx(0)1g(1)a()fx0x2(2)()fx2(3)()fx0x212345112e2211xx312()33yx43221(1)3xc501A2C3C4B;5D1lncoslnsin0yxxysincoslncoslnsin0cossinxyyxyyxyxylnsintanlncosdyyyxdxxxcoty22221=arctan2111arctanarctan22211(1)arctan22xdxxxxxCxxxC34441114112ln2ln28ln2224(2ln21)xdxxxxdxxx423330017=3coscos3cos38xdxx5AABAC3,3,3,0,2,4ABAC3336126024ijkmijk6(1)12(1)6(1)20xyzxyzABM111(,,)222MC315,,222MC113315222xyz113315xyz612001122200112200=lim11lim()(1)(1)21lim[()2(1)]12xdxxxdxx711111=()()(1)(1)292)yxxyyxxyyyxedxxyedxyxexyeeyeey8()()()()dydyduuuuuudxdxduu2211()()()dyddduuudxdxdxdudxudu22()1ln(1)1fxxxxx22()ln(1)1()01fxxxfxx()fx()0fx0x()fx(0)0fxR()(0)0fxf221ln(1)1xxxx2222200254232202(11)111[2(22)(1)(1)]5432846()3315vydxxaxdxxaxaaxaaxaxaa48()0,233dvaada2a251000()coslim()limlim[()sin](0)xxxgxxfxgxxgx()fx0x(0)ag20x2(()sin)()cos()gxxxgxxfxx0x02000()cos()(0)()lim()cos()(0)lim()sin()(0)lim2()cos()1lim((0)1)22xxxxgxxgxfxxgxxgxxgxxgxgxxg3200000(()sin)()coslim()lim(()cos)(()sin)()sinlim2(()cos)11limlim(()cos)((0)1)(0)222xxxxxgxxxgxxfxxgxxxgxxgxxxgxxxgxxgfx()fx0x