最新-经济数学基础重难点解析-PPT课件.ppt

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1、保会通财务软件24)1ln(1xxy2、函数的对应关系、函数的对应关系计算函数值时,首先要明确函数的表达式,然后将自变量的取值代计算函数值时,首先要明确函数的表达式,然后将自变量的取值代入表达式中。入表达式中。xxysin)2(3xxxxxf11ln)(1)(1ln)()(11ln111ln1xfxxxxxxy11ln)1(xxy11ln)()()(00000limlimxfxxfxxfxyxxxxfx)2(lim0)()()(0limxfxxfxxfxxfxfxxfxx)0()20()2(limlim00 xfxfx2)0()20(2lim0212)0(2fexexxxxx10)1(11li

2、mlim或1)sin(lim0 xxx15510)13()21()13(limxxxx1245224limxxxxxxxx2sin11lim0 xxxx11lim551551015510323)2(3)13()21()13(limxxxx)11(2sin)11)(11(2sin11limlim00 xxxxxxxx)11(2sin11lim0 xxxx)11(2sin221lim0 xxxx1112sin221limlim00 xxxxx412121(3)当当x4时,分式的分子、分母的极限都为时,分式的分子、分母的极限都为0,且分式的分子、,且分式的分子、分母均为分母均为x的二次多项式,遇到此

3、情形需先分解因式,消去极限的二次多项式,遇到此情形需先分解因式,消去极限为零的因式再用除法法则,即为零的因式再用除法法则,即)4)(3()4)(1(1245limlim4224xxxxxxxxxx733414)3()1(lim4xxx211111111111limlimlimexxeexxxxxxxxxxx2,)()1(yeeyxx求dyxxxy求,1ln)2(2,ln)3(2yxyyx求xxeeuuy,2)(2)(222xxxxxxeeeeeey则xxxxxxyln)1ln(1ln)2(22xxxxxy1)1221(1122xx1112dxxxdy)111(2)(,)1(2xeeuuyx12

4、2yyyxxyxyyyx21121222yxxyyyxxxf1)(xxxf1)(211)(xxf)1,0()0,1(x0)(xf0)(xxee),(xxxxf1)(31xy 31xy pppqpqpqpqpEp/)(/)(lim)()()()(pqpqpp2ln2100)2ln2100()()(pppqpqpEpppqqp1.01001010021.0100)1.0100()(qqqqqRqqqqL6020001.0100)(220001.0402qqqqL2.040)(0)(qL令2000qppppEp10010100010480pE)0(9800365.0)()(qqqqqCqC98005

5、.0)(2qqC 0qC qC)/(1761409800361405.0140件元C)()(xfxFCxFdxxf)()()()(xfdxxfdxddxxfdxxfd)()(Cxfdxxf)()(Cxfxdf)()(dxxfkdxxfkdxxfkxfk)()()()(22112211badxxf)(CxFdxxf)()(babaxFdxxf|)()(dxxx)1(3dxexx2dxxx2)1(dxxxdxxx)()1(65213dxxdxx6521Cxx6112311632xxe2xe2dxedxexxx22Ceex22ln1Cexx212ln1你好你好!呵呵呵呵xx2)1(xxxxx1212

6、2dxxxdxxx12)1(2dxxdxxdx12Cxxx|ln2212duufdxxg)()()(xuCuFduuf)()()0)(abaxdadx)0)(212abaxdaxdx)(sincosxdxdx)(cossinxdxdxxddxx21xddxx112|ln1xddxxxxdedxe2221xxdedxxedxxx23)1(dxx)12sin()2(32ln1)3(eedxxx10cos)4(dxeexx)3()3(213)1(22221xdxdxxx)3(21221uxduu令Cu 2331Cx232)3(931)12()12sin(21)12sin(xdxdxx)12(sin2

7、1xuudu 令Cx)12cos(21Cucos21)12()12sin(21)12sin(xdxdxxCx)12cos(21323223)ln(lnlnlneeeexuuduxxdxxdx令2ln3ln|ln23u323232|ln|lnlnlnlneeeeeexxxdxxdx2ln3ln 101110|sincoscos)cos(eexxxxuududeedxee1sinsin e1010011sinsin|sincoscoseedeedxeexxxxxdxvudxuvdxvudxuvdxexPnxdxxPnxdxxPnx)(cos)(,sin)(的xdxxPnln)(dxxx)1sin(

8、dxxx)1ln(dxexx102)1()1()1cos()1cos()1sin(xdxxxdxxxCxxx)1sin()1cos(221xv dxxx)1ln(dxxxxx121)1ln(222dxxdxxxx1121)1(21)1ln(212Cxxxx)1ln(21)1(41)1ln(2122Cxxx22)1(41)1ln()1(21xevxu2,1xevdxxeexdxexxxx100110222|)1()1(dxexeexx10102|22110|2221xeeee62bauv|dxxfxfy)()(Cxdxxy32322Cxy3321323xy)0)()(xfdxxfbaabdxxg

9、xfS)()(abdxyyS)(下上xxeyey,2,2xyxyx10)(dxeeSxx1010 xxeeee11121ee22xy 1y2xy 1y22xy 2xy 121 1,10,021,01,2121012122)1()2(dxxdxxxS12131212103|31|31xxx)22(31dxxFxF)()(xFxFdxxF0)0()()(xFdxxFxF0)0()()(baaFbFdxxFF)()()(293025)(qqqCqCdqgCqC00)()(qdqqq0255)93025(553152532qqqqqqqqCqC5531525/)()(23231525qqq31312|

10、2112)12(qqdqqR)(20)5.012()5.436(万元yeyyxdxedyyexydxedyyexyCeeyexyy0 xeydxdyxxeyxy21xexQxxP2)(,1)()()(1)(CxdexQeydxxdxxp)(11Cxdexeedxxxdxx)(1Cxdxxexx)(1Cexx)(1eexyx20)181720272018(61X均值11)2018()2017()2020()2027()2020()2018(612222222S方差32.32SS标准差19)2018(21中位数是10020,10030,100501010020810030910050iixpX)2

11、02445(1019.81089nkAAP可能结果总数包含的可能结果个数)(364363362361363P)()()(),()(APBPABPBPAP)(1)(APAP)(1)(BAPABP)(1)(BAPBAP)(BAP)(1)(BAPBAP)()|()()(1BPBAPBPAP4.032.04.03.01428.053)(1AP1034253)|()()(12121AAPAPAAP2595353)|()()(12121AAPAPAAP)(21AAP1034352)|()()(12121AAPAPAAP2121AAAA或)(2121AAAAP)()(2121AAPAAP)(2121互斥与AAAA)()()()(2121APAPAPAP),(2121相互独立AAAA46.07.04.03.06.021AA12.03.04.0)()()(2121APAPAAPAABBBABUAUBBA)(BAB)()()()(ABPBPABBPBAP)(1)()()()(APBPBPAPBP)()(APBPA

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