2019年推荐电大经济数学基础期末复习指导.pdf

.经济数学基础第一部分微分学一、单项选择题1函数1lg xxy的定义域是（1x且0 x）2若函数)(xf的定义域是 0，1，则函数)2(xf的定义域是(0,()3下列各函数对中，（xxxf22cossin)(，1)(xg）中的两个函数相等4设11)(xxf，则)(xff=（x11）5下列函数中为奇函数的是（11lnxxy）6 下列函数中，（)1ln(xy不是基本初等函数 7 下列结论中，（奇函数的图形关于坐标原点对称）是正确的8.当x0时，下列变量中（xx21）是无穷大量 9.已知1tan)(xxxf，当（x0）时，)(xf为无穷小量.10函数sin,0(),0 xxf xxkx在x=0处连续，则k=(1)11.函数0,10,1)(xxxf在x=0 处（右连续）12曲线11xy在点（0,1）处的切线斜率为（21）13.曲线xysin在点(0,0)处的切线方程为（y=x）14若函数xxf)1(，则)(xf=（21x）15若xxxfcos)(，则)(xf（xxxcossin2）16下列函数在指定区间(,)上单调增加的是（e x）17下列结论正确的有（x0是f(x)的极值点）18.设需求量q对价格p的函数为ppq23)(，则需求弹性为Ep=（pp32）二、填空题1函数20,105,2)(2xxxxxf的定义域是-5，2 2函数xxxf21)5ln()(的定义域是(-5,2)3若函数52)1(2xxxf，则)(xf62x4设函数1)(2uuf，xxu1)(，则)2(uf435设21010)(xxxf，则函数的图形关于y轴对称6已知生产某种产品的成本函数为C(q)=80+2q，则当产量q=50 时，该产品的平均成本为3.6 7已知某商品的需求函数为q=180 4p，其中p为该商品的价格，则该商品的收入函数R(q)=45q 0.25q 2第 1 页，共 16 页.8.xxxxsinlim1.9已知xxxfsin1)(，当0 x时，)(xf为无穷小量10.已知1111)(2xaxxxxf，若fx()在),(内连续，则a2 .11.函数1()1exf x的间断点是0 x12函数)2)(1(1)(xxxf的连续区间是)1,(，)2,1(，),2(13曲线yx在点)1,1(处的切线斜率是(1)0.5y14函数y=x 2+1的单调增加区间为(0,+)15已知xxf2ln)(，则)2(f=0 16函数yx312()的驻点是x117需求量q对价格p的函数为2e100)(ppq，则需求弹性为Ep2p18已知需求函数为pq32320，其中p为价格，则需求弹性Ep=10pp三、极限与微分计算题1解423lim222xxxx=)2)(2()1)(2(lim2xxxxx=)2(1lim2xxx=412解：231lim21xxxx=)1)(2)(1(1lim1xxxxx =21)1)(2(1lim1xxx3解0sin 2lim1 1xxx=0(11)sin 2lim(11)(1 1)xxxxx =xxxxx2sinlim)11(lim00=22=4 4解2343limsin(3)xxxx=3(3)(1)limsin(3)xxxx =333limlim(1)sin(3)xxxxx=2 5解)1)(2()1tan(lim2)1tan(lim121xxxxxxxx1)1tan(lim21lim11xxxxx311316解)32)(1()23()21(lim625xxxxxx=)32)(11()213()21(lim625xxxxxx =2323)2(65第 2 页，共 16 页文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9.7解：y(x)=)cos2(xxx=2cossin2ln2xxxxx =2cossin2ln2xxxxx8解xxxxfxx1cos2sin2ln2)(9解因为5ln5sin2)cos2(5ln5)5(cos2cos2cos2xxxxxy所以5ln25ln52sin2)2(2cos2y10解因为)(ln)(ln3231xxy331ln32)(ln32xxxx所以xxxydln32d311解因为)(coscos5)(sine4sinxxxyxxxxxsincos5cose4sin所以xxxxyxd)sincos5cose(d4sin12解因为)(2ln2)(cos1332xxxyx2ln2cos3322xxx所以xxxyxd)2ln2cos3(d32213解)(cos)2(2sin)(22xxxyxx2cos22ln2sin2xxxx14解：)5(e)(lnln3)(52xxxxyxxxx525eln315解在方程等号两边对x求导，得)e()e()1ln(2xyxy0)(e1)1ln(yxyxyxyxyxyxyyxyyxxe1e)1ln(故e)1)ln(1(e)1(xyxyxxxyxyy16解对方程两边同时求导，得0eecosyxyyyyyyyxye)e(cos第 3 页，共 16 页文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9.)(xy=yyxyecose.17解：方程两边对x求导，得yxyyyeeyyxye1e当0 x时，1y所以，0ddxxyee01e1118解在方程等号两边对x求导，得)()e()cos(xyxy1e1)sin(yyyxy)sin(1)sin(eyxyyxy)sin(e)sin(1yxyxyy故xyxyxyyd)sin(e)sin(1d四、应用题1设生产某种产品x个单位时的成本函数为：xxxC625.0100)(2（万元）,求：（1）当10 x时的总成本、平均成本和边际成本；（2）当产量x为多少时，平均成本最小？1解（1）因为总成本、平均成本和边际成本分别为：xxxC625.0100)(2625.0100)(xxxC，65.0)(xxC所以，1851061025.0100)10(2C5.1861025.010100)10(C，116105.0)10(C（2）令025.0100)(2xxC，得20 x（20 x舍去）因为20 x是其在定义域内唯一驻点，且该问题确实存在最小值，所以当x20 时，平均成本最小.2某厂生产一批产品，其固定成本为2000 元，每生产一吨产品的成本为60 元，对这种产品的市场需求规律为qp100010（q为需求量，p为价格）2解（1）成本函数C q()=60q+2000因为qp100010，即pq100110，所以收入函数R q()=pq=(100110q)q=1001102qq（2）因为利润函数L q()=R q()-C q()=1001102qq-(60q+2000)第 4 页，共 16 页文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9.=40q-1102q-2000 且Lq()=(40q-1102q-2000)=40-0.2q令Lq()=0，即 40-0.2q=0，得q=200，它是Lq()在其定义域内的唯一驻点所以，q=200 是利润函数L q()的最大值点，即当产量为200 吨时利润最大3设某工厂生产某产品的固定成本为50000 元，每生产一个单位产品，成本增加100 元又已知需求函数pq42000，其中p为价格，q为产量，这种产品在市场上是畅销的，试求：（1）价格为多少时利润最大？（2）最大利润是多少？3解（1）C(p)=50000+100q=50000+100(2000-4p)=250000-400pR(p)=pq=p(2000-4p)=2000p-4p 2利润函数L(p)=R(p)-C(p)=2400p-4p 2-250000，且令)(pL=2400 8p=0 得p=300，该问题确实存在最大值.所以，当价格为p=300 元时，利润最大.（2）最大利润1100025000030043002400)300(2L（元）4某厂生产某种产品q件时的总成本函数为C(q)=20+4q+0.01q2（元），单位销售价格为p=14-0.01q（元/件），试求：（1）产量为多少时可使利润达到最大？（2）最大利润是多少？4解（1）由已知201.014)01.014(qqqqqpR利润函数22202.0201001.042001.014qqqqqqCRL则qL04.010，令004.010qL，解出唯一驻点250q.因为利润函数存在着最大值，所以当产量为250 件时可使利润达到最大，（2）最大利润为1230125020250025002.02025010)250(2L（元）5某厂每天生产某种产品q件的成本函数为9800365.0)(2qqqC（元）.为使平均成本最低，每天产量应为多少？此时，每件产品平均成本为多少？5.解因为C q()=C qq()=0 5369800.qq（q0）C q()=(.)0 5369800qq=0 598002.q令Cq()=0，即0 598002.q=0，得q1=140，q2=-140（舍去）.q1=140 是C q()在其定义域内的唯一驻点，且该问题确实存在最小值.所以q1=140 是平均成本函数C q()的最小值点，即为使平均成本最低，每天产量应为140 件.此时的平均成本为C()140=0 5140369800140.=176 （元/件）6已知某厂生产q件产品的成本为C qqq()25020102（万元）问：要使平均成本最少，应生产多少件产品？6解（1）因为C q()=C qq()=2502010qqCq()=()2502010qq=2501102q令Cq()=0，即25011002q，得q1=50，q2=-50（舍去），q1=50 是C q()在其定义域内的唯一驻点所以，q1=50是C q()的最小值点，即要使平均成本最少，应生产50 件产品第 5 页，共 16 页文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9.第二部分积分学一、单项选择题1在切线斜率为2x的积分曲线族中，通过点（1,4）的曲线为（y=x2+3）2.若10d)2(xkx=2，则k=（1）3下列等式不成立的是（)1d(dlnxxx）4若cxxfx2ed)(，则)(xf=（2e41x）.5.)d(exx（cxxxee）6.若cxxfxx11ede)(，则f(x)=（21x）7.若)(xF是)(xf的一个原函数，则下列等式成立的是()()(d)(aFxFxxfxa)8下列定积分中积分值为0 的是（xxxd2ee11）9 下列无穷积分中收敛的是（12d1xx）10设R(q)=100-4q，若销售量由10 单位减少到5 单位，则收入R的改变量是（350）11下列微分方程中，（xxyyye2）是线性微分方程12微分方程0)()(432xyyyy的阶是（1）.二、填空题1xxded2xxde22函数xxf2sin)(的原函数是-21cos2x+c(c是任意常数)3若cxxxf2)1(d)(，则)(xf)1(2 x4若cxFxxf)(d)(，则xfxx)de(e=cFx)e(5e12dx)1ln(ddxx061122d)1(xxx0 7无穷积分02d)1(1xx是收敛的（判别其敛散性）8设边际收入函数为R(q)=2+3q，且R(0)=0，则平均收入函数为2+q239.0e)(23yyx是2 阶微分方程.10微分方程2xy的通解是cxy33三、计算题 解cxxxxxx1cos)1(d1sind1sin2第 6 页，共 16 页文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9文档编码:CB8U4C7I2Q4 HZ3A9C1S1H6 ZO2L10S10C10N9.2解cxxxxxx22ln2)(d22d23解cxxxxxxxxxxsincosdcoscosdsin4解xxxd1)ln(=xxxxx