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2008数学一真题答案解析.pdf

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1、考研数学一试题分析、详解和评注一、选择题：(本题共 8 小题，每小题4 分，共 32 分.每小题给出的四个选项中，只有一项符合题目要求，把所选项前的字母填在题后的括号内)（1）设函数20()ln(2)xf xt dt，则()fx的零点个数为【】(A)0.(B)1.(C)2.(D)3【答案】应选(B).【详解】22()ln(2)22 ln(2)fxxxxx显然()fx在区间(,)上连续，且(1)(1)(2ln3)(2ln3)0ff?，由零点定理，知()fx至少有一个零点又2224()2ln(2)02xfxxx，恒大于零，所以()fx在(,)上是单调递增的又因为(0)0f，根据其单调性可知，()f

2、x至多有一个零点故()fx有且只有一个零点故应选(B).（2）函数(,)arctanxf x yy在点(0,1)处的梯度等于【】(A)i(B)i.(C)j.(D)j.【答案】应选(A).【详解】因为222211fyyxxxyy222221xfxyxyxyy所以(0,1)1fx，(0,1)0fy，于是(0,1)(,)igradf x y.故应选(A).（3）在下列微分方程中，以123cos2sin2xyC eCxCx（123,C CC为任意的常数）为通解的是【】(A)440yyyy.(B)440yyyy.(C)440yyyy.(D)440yyyy.【答案】应选(D).【详解】由123cos2si

3、n 2xyC eCxCx，可知其特征根为11，2,32i，故对应的特征值方程为2(1)(2)(2)(1)(4)ii32443244所以所求微分方程为440yyyy应选(D).（4）设函数()f x在(,)内单调有界，nx为数列，下列命题正确的是【】(A)若nx收敛，则()nf x收敛(B)若nx单调，则()nf x收敛(C)若()nf x收敛，则nx收敛.(D)若()nf x单调，则nx收敛.【答案】应选(B).【详解】若nx单调，则由函数()f x在(,)内单调有界知，若()nf x单调有界，因此若()nf x收敛故应选(B).（5）设A为n阶非零矩阵，E为n阶单位矩阵若30A，则【】则下列

4、结论正确的是：(A)EA不可逆，则EA不可逆.(B)EA不可逆，则EA可逆.(C)EA可逆，则EA可逆.(D)EA可逆，则EA不可逆.【答案】应选(C).【详解】故应选(C).23()()EAEAAEAE，23()()EAEAAEAE故EA，EA均可逆故应选(C).（6）设A为 3 阶实对称矩阵，如果二次曲面方程1xxyz A yz在正交变换下的标准方程的图形如图，则A的正特征值个数为【】(A)0.(B)1.(C)2.(D)3.文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档

5、编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S

6、1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7

7、 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7

8、文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I

9、2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6

10、U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1

11、Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7文档编码:CJ1X5X6I2S1 HH2R1X9W6U7 ZH10J9P9D1Y7【答案】应选(B).【详解】此二次曲面为旋转双叶双曲面，此曲面的标准方程为222221xyzac故A的正特征值个数为1故应选(B).（7）设随机变量,X Y独立同分布且X的分布函数为()F x，则max,ZX Y的分布函数为【】(A)2()Fx.(B)()()F x F y.(C)211()F x.(D)1()1()F xF y.【答案】应选(A)【详解】()max,F zP ZzPX Yz2()()()P Xz P YzF z

12、 F zFz故应选(A)（8）设随机变量XN(0,1):,(1,4)YN:,且相关系数1XY，则【】(A)211P YX(B)211P YX(C)211P YX(D)211P YX【答案】应选(D)【详解】用排除法设YaXb由1XY，知X，Y正相关，得0a排除（A）和（C）由(0,1)XN:，(1,4)YN:，得0,1,()EXEYE aXbaEXb10ab，1b从而排除(B).故应选(D)二、填空题：(914 小题，每小题4 分，共 24 分.把答案填在题中横线上.)（9）微分方程0 xyy满足条件(1)1y的解是y.【答案】应填1yx【详解】由dyydxx，得dydxyx两边积分，得ln|

13、ln|yxC文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7

14、F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2

15、R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7

16、F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2

17、R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7

18、F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2

19、R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3代入条件(1)1y，得0C所以1yx（10）曲线sin()ln()xyyxx在点(0,1)的切线方程为.【答案】应填1yx【详解】设(,)sin()ln()F x yxyyxx，则1(,)cos()1xFx yyxyyx，1(,)cos()xFx yxxyyx，(0,1)1xF，(0,1)1yF于是斜率(0,1)1(0,1)xyFkF故所求得切线

20、方程为1yx（11）已知幂级数0(2)nnnax在0 x处收敛，在4x处发散，则幂级数0(2)nnnax的收敛域为.【答案】(1,5【详解】由题意，知0(2)nnnax的收敛域为(4,0，则0nnna x的收敛域为(2,2所以0(2)nnnax的收敛域为(1,5(12)设曲面是224zxy的上侧，则2xydydzxdzdxx dxdy.【答案】4【详解】作辅助面1:0z取下侧则由高斯公式，有2xydydzxdzdxx dxdy122xydydzxdzdxx dxdyxydydzxdzdxx dxdy文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J

21、6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4

22、HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J

23、6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4

24、HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J

25、6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4

26、HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J

27、6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S32224xyydVx dxdy2222410()2xyxydxdydrrdr22200116424?g(13)设A为 2 阶矩阵，12,为线性无关的2 维列向量，10A，2122A则A的非零特征值为_.【答案】应填 1【详解】根据题设条件，得1212121202(,)(,)(0,2)(,)01AAA记12(,)P，因12,线性无关，故12(,)P是可逆矩阵因此0201APP，从而10201PAP记0201B，则A与B相似，从而有相

28、同的特征值因为2|(1)01EB，0，1故A的非零特征值为1(14)设随机变量X服从参数为1 的泊松分布，则2P XEX_【答案】应填12e.【详解】因为X服从参数为1 的泊松分布，所以1EXDX 从而由22()DXEXEX得22EX故22P XEXP X12e三、解答题：(1523 小题，共94 分.)(15)(本题满分 10 分)求极限40sinsin(sin)sinlimxxxxx【详解 1】40sinsin(sin)sinlimxxxxx30sinsin(sin)limxxxx20coscos(sin)coslim3xxxxx201cos(sin)lim3xxx文档编码:CN1T6M2

29、G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8

30、H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2

31、G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8

32、H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2

33、G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8

34、H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2

35、G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S30sin(sin)coslim6xxxx(或2201(sin)2lim3xxx，或22201sin(sin)2lim3xxoxx)16【详解 2】40sinsin(sin)sinlimxxxxx40sinsin(sin)sinlimsinxxxxx30sinlimtttt201coslim3ttt2202lim3ttt（或0sinlim6ttt）16（16）(本题满分9 分)计算曲

36、线积分2sin22(1)Lxdxxydy，其中L是曲线sinyx上从(0,0)到(,0)的一段【详解 1】按曲线积分的计算公式直接计算2sin22(1)Lxdxxydy20sin 22(1)sincos xdxxxx dx20sin2xxdx200cos2cos22xxxxdx20cos22xxdx200sin2sin2222xxxdx22【详解 2】添加辅助线，按照Green 公式进行计算设1L为x轴上从点(,0)到(0,0)的直线段D是1L与 L围成的区域12sin 22(1)LLxdxxydy2(2(1)sin2Dxyxdxdyxy4Dxydxdy文档编码:CN1T6M2G7F4 HH9

37、E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3

38、文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9

39、E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3

40、文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9

41、E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3

42、文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9

43、E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3sin004xxydydx202 sinxxdx0(1cos2)xx dx200cos22xxxdx200sin2sin2222xxxdx22因为102sin 22(1)sin20Lxdxxydyxdx故2sin22(1)Lxdxxydy22【详解 3】令2sin22(1)LIxdxxydy212sin222Lxdxydyx ydyII对于1I，记sin 2,2PxQy因为0PPyx，故1I与积分

44、路径无关10sin 20Ixdx对于2I，22220022sincossin 2LIx ydyxxxdxxxdx200cos2cos22xxxxdx20cos22xxdx200sin2sin 2222xxxdx22故2sin22(1)Lxdxxydy2217（本题满分11 分）已知曲线22220,:35,xyzCxyz求C上距离xoy面最远的点和最近文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码

45、:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3

46、Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码

47、:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3

48、Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码

49、:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3

50、Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3文档编码:CN1T6M2G7F4 HH9E2I3Z5E5 ZT8H2R6J6S3的点【详

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关键词：: 2008 数学一真题答案解析

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