中央电大经济数学基础实用复习题汇总

经典word整理文档，仅参考，双击此处可删除页眉页脚。本资料属于网络整理，如有侵权，请联系删除，谢谢！一、应用题qC(q)1000.25q6q2,qq2C(q)1000.25q6q，C(q)0.25q6，qC(q)q6．C1000.25106101852C0.25618.5C0.5611100C(q)0.250qq（q2qq.qC(q)204q0.01q22．.pqC(q)204q0.01q2R(q)qp14q0.01q2L(q)R(q)C(q)10q0.02q202L(q)0.04qL(q)0.04q0q最大值，所以当产量为个单位时可使利润达到最大，且最大利润为L(250)102500.0225020123023万元)C(q)2q(万元/百台)46C(q)q(2x40)dx36046C6(2x40)dxx|40x|264644C(q)q(2x40)dx36q40q36201/16C(q)qqC(q)136C(q)10qq6q6是36q2q2x6.()4．已知某产品的边际成本Cq（元/件），固定成本为0，边际收益R(q)q()()()LqRqCqq令Lq()0q。qL0.02x)dx10x|x|②5505002550-500500()435Cqq(/)，q().C(q)(4q3)dq=2qqc2当q=0c2qq18(q2C(q)(q)2q3qq18()20令Aq，q=)q2.x=3.2339)36、已知生产某产品的边际成本为Cq()4q(万元/百台)，收入函数为1R(q)10qq22200()()()462qLqRqCqqq2/16()0令Lqq333q35L(62x)dx6x|x|63)53253223447..C(x)5x(万元)x()2xxRx1()1CxL(x)R(x)C(x)2x令Lx()0x5x5()Lx.5百.56L2x)dxxx2)65511.(x)100x6x,xC2xxC(x)100x6x2C(x)x6，x1001106102602CC16，⑵C(x)1x2令C(x)0xx（x()是Cxx。3/16二、线性代数计算题113A115(I)1、。12100113013IA01011510500112120013100105010[IAI]1050100131001200010250111050101006501310001053300121100121165(I)5331。211013227()A=I是3IA1。3484/16113IA237，349113100113100237010011210)=34900101030110231010013201121001030100111100111132301(I)1=。116312102A==B=1．12041631022112=120414121102110)=4101012110112011220121012111-=221210121A114B0AB1，210的。5/1621121111A421A42103。11B31311122221212XAB。A,B3523121012101052013105235010131013152125210XBA∴A1∴1312331111102A121,B1A1B122311010011010012101001111022300104320111010011010001111001053100164100164100431431010531A531即1001646443124B53116。A164172x5x3x3123x2x6x31232xx6x1236/1625312631041A1263099901112600000x14x13x3xx123x12xx034xx3x2x012342xx5x3x0123410211021021A11320111011121501100002xxx134x，xxxx43234x13xx0232x5x3x001233x8xx01231311311041A25301101=438010044xx13xxx233x12xx2x2342xx7x3x612349x7x4xx112347/161121211212A21736015974102191121211212015015000000001094801510000x189x4x,x34xxx5x342342xxxx11234．x2xx4x21234x7x4xx512342111112142A1214205373174505373164105551214205373013735550000000000164xxx53575x,x134334xxx555234x13x2xx12343x8x4xx012342xx4x2x11234x2x6xx212348/1613211132110122384102142105803126121321110015160122301089002101200150000000000x15x14x8x924x5x634xx14x98xx424x65x34当xx5x4x212342xx3xx112343x2x2x3x312347x5x9x10x1234115421154213112301139A3223301139302261814759101154210851011393011393800008000000000000008x5x1x,x134x）x13x9x334234三、微分计算题ecosxy．ysin5x9/16e(sin)5cos(cos)ysinx4xxxex5xxx4dy(ecosx5cosxsinx)dxsin4xelndxxx．1e1ex2edx)xxxxx222111e1e122yy3e1dx2244exxy．cosx3231x2e(cos)()e(sin)cosxxxcos2xx21dy(xsine)dxcos2x22sin1xx．x2sin1111xdxsind()coscx2xxx设yetanxsinxy．.dyd(etanx)d(e)d(tanx)sinxsinx11ed(sinx)dxedxdxxxxx221(ex)dxxx2edxx．x分10/16edxx2ed(x)2ecxxx2xy．2x.(2sin)(2)sin2(sin)yx2x2x2xxx2ln2sinx2cosx(x)x2x2222x2x2xx2x2π2xdx．20.πππ2xdx2xxx222000四、练习题）yxexy11()(e)(x)ex(e)x)exyxxxxx2x2x）yesinbxyaxsin(e)e(sin)sine()ecos()bxbxbxaxbxbxyaxaxaxaxeaebdyydxe(asinbxdxbcosbx)dxax1）yexxyx311dyydx(xe)dxx2x21323211311x21(e)()e()xexyxx2xxx2xe2y）yx11/16sinx2x(cossin(e(2eyxxxx2xx2x2x2sinx2xdyydx(2e)dxx2ln(x1x2)y）y2x21x21(x1x)1(1x)22yx1xx1xx1x222x1x(x1x)1x2121x222x2dx）x12xd(x)(2x)d(2x)(2x)C11132222222223sinxx）x原式2sinxd(x)2cosxCx）xsindx2xxxxx原式2xsind()2xd(cos)2xcos2cosdx22222xxxxx2x4d()2x4C22222ln(x1)dx）1原式ln(xd(x(xln(x(xdln(x(xln(xdx(xln(xxC1e）2xxx211xx11原式ed()e|ee221x112/161）e3dxx1x11e3d(lnx21lnx|2(1lne1ln1)233e11lnx12x）x201212112原式xcos2xd(2x)xd(sin2x)xsin2x|sin2xdx222022000112cos2x|204elnd）xxx11(x)xx|112ex|(e111ee2222e2e122244111）4xxex0xedx44xed(x)4xe|edx4原式4dx4xxx40x00004ee|4ee1e)4x40444五、复习指导xxsinxcos2y。y3x3(2yx3x2x31x3sinx(sinxsin2(22xx2231x3sinxx2ln2sin22xx222sinxy。yx(2sin2(sinyxxxx2ln2sinx2cosx(xxx12ln2sinx2xxx2x13/16cosxxey。y2x(cos(xeyx2xsinx(x)(exe)22xx2xsinx(exe)2xxlnx2yy。1(lnsin)(sin