1、B7B5B2B1B9B4B3B8B6 1.13.(1) y = sinu , u = cosx; (2)y = lnu,u = cosv,v = x2 +1; (3)y = eu,u = 2x2 + 1.B8B6 1.21. (1) AFALALA6 (2) BNDHD4 1;(3) BNDHD4 0;(4) AFALALA52. AFCJB0AXA5C6C5CF (1)n AH (1)n+13. A4AXAFALALA5ACB5AQB4A8AQA5A3C6ARBYAQCH4. (1) 23 A6 (2) 12. 5. 12.6. (1) ALALA4AADC f(0 0) = 1 = f(0
2、 + 0).(2) AFALALA4AADC f(00) = 1,f(0 + 0) = 1.7.(1) 15; (2) 4 ; (3) 0; (4) 12x. 8. 3 .B8B6 1.31 AV 10 DAA5AKDC23;23;22 ; 1; e4; e2; e1; e13; 1; 23.B8B6 1.41.(1) A0 (4) AFCBA2A6 (2) A0 (3) CBA2A52. (1) 2,+); (2)|x| 3,BK(,3) (3,);(3)(,1) (1,); (4) (0,1) 1,+).3. (1)9; (2)pi2; (3)cos1; (4)19.5. ALCPBS 0
3、,2 CYC5CF g(x) = ex 2x .B8B6 2.11.2x; 2. 0 BK23; 3. CBA2A4C6AOA4CN f(0) = 1A64. CBA2A4AFC6AOA6 5. (1) 24x; (2)1027x83.6. CMAOD4ATAGASARA4BZAOD6A4D4AGASA7D1ARABBJCGA4D4A1D8AZA2A6BIAOD4ATAGASARB2BZAOD6A4D4AGASAMBPB9AZARABBJCGA4D4A1BPD8AZA2A5B8B6 2.21.(1)4x3 + 43x13 + 2x3. (2)cosx+ sinx. (3)(2x ln2)lnx
4、+ 2x 1x .(4) secxtan2 x + sec3 x, BK 1+sin2 xcos3 x , BK 2sec3 x secx.(5) 4x(1x2)2. (6) ex sinxex cosxsin2 x . (7) 21+4x2.(8) x(2 x2)12. (9) 2x1+x2. (10) 2x1x4 .(11) (lnx)xln(lnx) + 1lnx. (12) 1xx21x2radicalBig1x1+x.2. (2,2) ; (34, 1716)B8B6 2.32.(1) DFC5CF x1 = x2; CV x1 negationslash= x2, AFB7D0 x
5、1 0 BG x integraltext21 (lnx)2dx ; integraltext43 lnxdx integraltext43 (lnx)2dx .4.(1) 2 I 34 . (2) 524pi I 724pi .B8B6 3.534(3161); 2; pi3;12 ln3; arctan12; 0.B8B6 3.61. 1; 2. 32; 3. CE t = ex, AQ ln3ln2; 4. pi/2;5. 12(1 ln2); 6. 14e2 + 14; 7. 8; 8. CE t = x, AQ 2.B8B6 3.71. 1 ; 2. 32 ln2; 3. 13 +
6、pi2, 32pi 13; 4. pi22 ; 5. 19pi12 ;6. 827(1932 1); 7. 313; 8. 112.5103gpi (N m);9. (1) C(Q) = 1.2 + 0.3Q2 0.2Q, R(Q) = 1.6Q,L(Q) = 1.8Q 1.20.3Q2. (2) Lmax(Q) = 1.5 (DBAI).B8B6 3.81. B3CXA6 B3CXA6 pi. 2. 1ln2; pi. 3.2pi2 .4(1) B3CXA5 (2) B3CX (AXA9 x = 0,x = 1 D4CLAUA3A5 5. 1.B8B6 4.11. (4)(6) D5CCA4
7、CKAGB3CXA52. (1)(3)(4)(5) D5CCA5 (2) C3B1D5CCA5 (6) B3CXA5B8B6 4.21. (1) 1, (1,1); (2)1, 1,1; (3),(,+); (4)13,13, 13.2. (1) arctanx, 1 x 1; (2) ln(1x), 1 x 1.B8B6 4.31. summationtextn=0x2n+1, |x| 1. 2. summationtextn=1(2n3)!(2n2)!xn1, |x| 1.3. summationtextn=1nxn1, |x| 1. 4.121 + summationtextn=0(1)
8、n(2x)2n(2n)! , x (,+).5. summationtextk=02x2k+12k+1 , |x| 1. 6.summationtextk=0x2k+1(2k+1)!, x (,+).B8B6 5.11.(1) = 2,3,4,12. (2)A = 2,4,6,8,10,12,B = 2,3,4,5,6,7,8.(3) AB = 2,4,6,8. AB = 10,12.2. A = CWBVC4BHBB , C = CWBVAWAVCZA4BVAFBHBB ,AuniontextB = CWBVAWAVCZA4BVAFBHBB , AC = .3. B = 5uniontext
9、i=1Ai; C = 5intersectiontexti=1Ai; D = 5intersectiontexti=1Ai; E = A1A2A3A4A5.4. AYAPCQA53B8B6 5.21. 1105. 2. 14!. 3. 1021. 4. 112. 5. 2855; 311; 811. 6. 0.2735.B8B6 5.31. 0.9; 0.5; 0.8 . 2. 2324. 3. 0.4. 4. 0.048. 5. 23.6. 0.72. 7. 0.4. 8. 0.72.; 0.26. 9. 0.087. 10. 0.6.11. AVCZABBD 7 ANA5 12. 0.6;
10、 0.5. 13. 0.63.14. 0.1877, 0.0584, 0.0004. 15. AIDGARBACGDC 0.37 A4BEDDA9AIDGA5B8B6 6.21. P(X = k) = Ck2C3k13C315, k = 0,1,2. P(1 X 2) = 1335.2.P(X = k) = Ck10(0.7)k(0.3)10k, k = 0,1,2,10.3.X = kACD3ARAPASkAKBLAWA4P(X = k) = (1p)k1p, k = 1,2,3,.4. AVCZ 4 CIA5 5. (1) 0.1462. (2) 0.9863.B8B6 6.41. (1)
11、 A = 12. (2)22 .(3) F(x) =0, x pi2,12(sinx + 1), pi2 x pi2,1, x pi2.2. 0.3. 3. (1) 0.4723. (2)e14.4. 1.24. 5. 0.4013; 0.7888; 0.4414.B8B6 7.11. A6BMAJBXBFA5 2. 13; 23; 11124. 3. 1.25. 4. pi12(ba)(b3 a3).B8B6 7.22. 112(ba)2. 3. 13; 118. 4. 12; 0; 2; 1e1. 5. 1;9.B8B6 7.31. 0.0454. 2. 71.23%. 3. AMAJB8
12、ADDC 17,283,18 CRA54. BCAZCRD6C6A7B8ADDC 33,217,217,33. 5. 233; AFC6CJA56. BOD9BMABACA5 7. BQADAFA6A5B8B6 8.11. (1) x = 67.4, s = 5.929, s2 = 35.156.(2) x = 99.93, s = 1.197, s2 = 1.433.B8B6 8.21. 2n nsummationtextk=1xk. 2. 0.48. 3. 1 A8 2 DJA54. 109,121. 5. 111.97, 113.63.6. 71.92, 88.08. 7. 1485.6
13、9, 1514.31; 13.8, 36.5.B8B6 8.31. C6A7CSDCD4 15g. 2. CJA5 3. AFAPCQA54B8B6 9.1parenleftBigg0 0 42 2 6parenrightBigg;parenleftBigg 2 2 02 4 0parenrightBigg;parenleftBigg 3 3 22 7 3parenrightBigg;parenleftBigg 9 115 15parenrightBigg; 1 16 172 10 83 0 3;parenleftBigg 7 8 1515 0 15parenrightBigg;parenle
14、ftBigg 2 33 6parenrightBigg.B8B6 9.2parenleftBigg 25351515parenrightBigg; 1 1 1132323234313; 113 11 1 21 23 2.B8B6 9.31. 9; 7; 8. 2. r(A) = 2; r(B) = 3.B8B6 10.11. x1 = 177 ,x2 = 97. 2. x1 = 3,x2 = 1,x3 = 2.B8B6 10.21. x1 = 1,x2 = 1. 2. x1 = 5 + 6c,x2 = c,x3 = 5 + 4c.3. x1 = 1,x2 = 1,x3 = 1. 4. AUCDC0A55
