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1、20201.f(x)=i3S in2 X 3 3 1 2 n f(x)=1(1cos2x)cos2x T n.2 2 2 2 n2U=R A1,2,3,4,E=x2Ex3AB=_ eu B=x|x.3x:2AHQJ B-11,4 J.d,4/3.z3z z=1 i iz=zx yi x，r RzX-yi3x 3yi 1 i1 1 1 1.x,y.z i.4 2 4 21 11 i4 21 x i4.-f(x)f(x)=y f(2)=.2x+1 -x 2 2x 2x=-2f2)=.2x+1 3 32 3 2 3 q 1 lx=3,5.c,-_ I1 ly=5,21,C1-C2=16.C2-5,1
2、6*1:Q Q V=h a a a-a3=16*3a=4.2 2 4 40+y x=3,y,6.a16/3a-_ 7.y2=2px p 0Q1U p=_ =1p=2.2 28.log2 9xl-5=log2 3xj-2 2 2 9x-5=4 3x-2.0,3xJ-4 3xJ 0,3xl-3 3xl-1=0,x=1x=2x=2.2X-0,9.x,yx+y2,f=x+2y.0,x 2y-f=0A 1,1fmax=1*2 1=3.310.365.14 23321 4 2 3 3 2 C3C6 C3C6 C3C6=45 60 15=120.1201 6 11.（2）6.x TC6 2x 6 2 C6-
3、26-x6r,6-3r=0r=2 lx T3=C6 24=240.2402 X 212.Ci,C2Ciy-1.C24Ci2C22 2 bC2=1 b 0,C2yXCi4 b 2x b 1 x2 y2“222-C22 2D 14 413.a,b,cab|a,b,1,2,3U a+b+c T T T I I T T T OA=a,OB=b,OC=c,a b=OA OB=0D,OCOD a+b+c.qa b,|Z 1,2,OA=1 O B O C3OA-2,OB-1,OC 3 514.f Xsin X X X2H,Xm0：X2：:：xm6f(X1)f(X2 j+|f(x 2)f(X 3+|f(Xm_
4、 1 f(Xm j=12 mK2 mNm N,Xj(i,j=1,2J|,m)I f(Xi)-f(Xj k f(x hax-f(x h=2mX i=1,2jl|,m.0II:Xm6 f(X1)f(%f)f(X3+|f(XmJ)f(Xm)=12(2N*),.=3a+b+c3+J5.m8.815.Z!,z2 Cz,Z2z,-Z2A.B.C.D.A._z2a ciZ2=b ci a,b,cR,c=0z?.5.3 2 n“*-n，N 2x-y=1P 1,1.limP 1,1k-1 16.2x 3:2A.(x 8)(x2 2x 3):2 B.x 8：2(x2 2x 3)C.x2 2x D.2 x 2x 3
5、 x 8 B.2x 2x 3 2Wx+1）+2 01x 8：2 x2 2x 3.17.A43,10A00BB3 11 13 D.OA 4 3 2yB=OB sin-AOx 3 1=7sinAOx=*cos._AOx 43 13 OAsin _AOx 7!sin._AOx cos cosAOx sin I 3 18.P Xn,yn 2x-y n 2 2 n x y=2lim-yn.nJCXn-1 A.-1 B.C.D.A.nr 2x-y=y 1k x 1=22k=-1 7i+i lim _1.J Xn-1 19P0AB CABECBP02,0A1P-AOCPA0E 2 1 20.f(x)=ax2
6、 a.x af(x)a(1,3)f(x)1,21f(x)x|x=0,xR.1 1f(-x)a(x)2 ax2-x xVPCAC/OE 111=_x_x2=_ 3 2 3 PACPAOE.PO=2,0A=0C-1PA=PC PACcos PAC10 PAOE710 arccos.10 a=0f(-X)=-f(x)f(x).a=0f(1)=a 1,f(-1)=a-1f(-1)=f(-1)=-f(1)f(x)(2 1：x22 2 1 2 1 1 f(x2)-f(xj=ax2 ax1(x x1)a(x1 x2)-X2 x2 0 2：x1 x2:4 1:：X!X2：4-1:：(1t1 f(tj 3 1t
7、1.8 15 PRU OR.Xi 1 a：32：a(x1 x2):12 1 1 x-|X2 4 1 a(x1-x2)-X1X2 0f(X2)-f(xj 0 f(x2)f(X1)a(1,3)f(x)1,2.21.O,P,Q0P=3PQ=40Q=50Qtf(t).0Q5/OPQ8/Qt=t|Pt=t2Q.(2 3 tl t t2 f(t)f(t)3QPR PR2=0P2 OR220PLORCOS O f(ti)=PR=1.8 t2=78 tM,N.3 7 t,M(3t,4t),N(3,8t-3)8 8 f(t)=(3t-3)2(4 3)2.25t2-42t 18.3 7 3 3 41 f(t),f
8、()3.8 8 8 8 22.x2 2y11112BC,DAOCS.iA（x,y）,c（x,y,）A,CCiiC 1 sxiy?X2%（31112m.m1112S.1hyxw=0C11d2 1 J x2+y；|AO|=x2 y2s=1|OA|_d=1 3|k1=1k1_1.2k2 3 5|X2-X2%|.2(2 h:y kx S=1k 3 c 1 S21 y=kx,2 2 x 2y 3 1 k-(3h:y=kxl2：y=mx.k A(%,yJ,C(X2,y2).|k2-m|2 2k k2 2m2 (8S2-1)k4(4S2 16S2m2 2m)k2(8S2-1)m2=0.1 m2 23.an
9、fbn a*1-a*2(0 1-bn),n N*(1)bn=3n 5,=1，a/?(2)noa%nN*)bjn(3ai=3”：0,bn=n(n N*),，m,n N*an=0 1bn j-bn=3an-an=6 an16anan=6n-5,nN*.(2an 1-an 2(bn 1-bn)an 1-2bn an-2bn.an-2bnan-2bn=ai-2bi=2bn ai-2d x2 X2 2y2=1,x1-1 2k2 xk2 2 k2 2m2 1x1 mx2|k2-m|k|IX1X21 Sk8S2-1 4S2+16S=0,2 2 m 2m 0,m 1 an _ an,n N*2bn&-2b 20-a1-2bibn bn.bnng.3bn nan.i=2(，n-)n 2an=(an-ananan _2f a2 _ al)al 2(nJ)2(nJ-nMH 2(-)3-=2 n.n=1a=3.an=2n：.J.*a 1 2=3 ：0n N,，6)an 0.a?=2 =：0 an 6 1,0).2 n N*,an=0.1 0 a2n=2|2n ,a2nj=-2|2n_l ana2=22 ：0=3.3=2 1.an a2 2&+1 a1 3,21 1 3 1 60.3 6 2 1 41,0).