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1、4-1 2019 51050 X 1.R f(x)f(x 3)=f(x)0 x 1 f(x)=2U f(2012)1 D.-2 2a ba2-b2 a b 2f x x y=sin.2 4A.-2 B.2 C.AB CD A1 B 2 C3 D4-2 3.f(x)=2sin xcosx2.3 cos2 x .3 C f(x)12 12 y=2sin2xC3 f(sinR-f(cos)cos/sin:5:.:1.-L::J.-.-I.-1.r I f(x1)=g(x2m 2 2 4 A.(0,1 B.1,21 C.2,2 D.2,4 3 3 3 6.pq pq;pq pq;Pq;P Pq.A B
2、 CD 1“A B si nA-sin B;讨二 cos),11-CA.0 B.1 C.2 D.3 4.f(x)1110ABCA1 B 2 C3 D4-3 7.(0,yXy=x2,y=(x-1)2,y=x3log m3:logn 3:00:n m:1 f(x)f(x_1)A(1,0)f(x)=3x-2x-3f(x)=02()A.1 B.2 C.3 D.4 8.f(x)f(x)=f(4-x)f(x)(x-2)f(x)0 2:a 4()A.f(2a):f(2):f(log 2a)B.f(2):f(2a):f(log 2 a)C.f(2):f(log2 a):f(2a)D.f(log 2 a):f(
3、2a):f(2)9.f(x)g(x)Rx:0f(x)g(x)-f(x)g(x)0 g(-3)=0f(x)g(x):0()A.(-3)U(0,3)B.(-3,0)U(03)C.(3)U(3)D.(-3,0)U(3+)10.f(x)g(x)a,bx,a,b|f(x)-g(x)1,f(x)g(x)a,ba b-4 f(x)=x2-3x 4g(x)=2x-3a,b()A1 4 B23 C.34 D24 552511.aa2cos2 a5.22sinr2b2 a 12.A=xx22x 0,B=xax2+bx4cAaB=q(3)=0 AUB=R d a c.13.f(x)=Acos(cox+W)A 0,0
4、,|c?)f(x)3e 3 3 14.f(x)-x xl nx,m,g(x)2Xj (0,)x(0,)3+4x 2 2 f(x1)g(x2)U m 15.f xA,x1,x Af=f x2=x2,f x.,f xi=x 1 R.:f xi=x2-2xxR;log 2 x,x A2,f(x)=;f(x,x1,x Ax2,f(x2 2-x,x v2 f xD,f x._().6752 2 16.12pf(x)x 4mx 4m 2132-5 qx|x m|1x Rrx|m x2m+1?x|x21m-6 17.12a=(cosa,sina),b=(cosB,sin B),a b(I)cos(-)5(n
5、)0,o,sin,sin 2 2 13 2x 18.12f(x)=e-ax(I)f(x)2 71 19.12 f(x)=2sin(x)cos(x)2.3 cos(x 2 2 2(I)0 vf(x)If(x)1x n,nx(n):;:T,11,f(x):a a 7 JI y=f(x)x 6 2 x ,f(x)Asin(x)(A 0,,0,0 3 6 mf(x)-m 2xm3.n 1 3n2 _ n _ 2-(n-2).kN k-f(k)n(n 1)ln 2 0.6931.20.133(n)f(x)2 8 1-5 ABCBC 6-10 BCCDB 11.9 201912.2 2 x 3 f 13.
6、3cos(2+7)14.(re)15 16pf x=x2-4mx+4m2+21 321 3-1 2m 1 rx|m e x2m+1?x|x2 1m2m+1 1 e me 2m+1 me 2m+K-1m 1 me-1 .6 1 pqr2 e m1qprmrpqme-11 mme-1 2 e m1 .12 17.:(I)=(cos:,si n:),b=(cos:,si n:),.a-b=cos:-cos:,s in:-s in:R 2 R 2 2/5 cos:-cos-sin:-sin-5 2 _ 2 cos-4 cos-3 5 5 JT j(n);*0,0,.0 2 2:cos:-3,sin:-
7、4.7si n 5,5 5 13 R 12 4 12 3533 cos 13 5 13 5 I 1365 12 18.(I)f(x)=2e2x-a,(i)a0,f(x)0,.f(x)(ii)a 0,f(x)=0,XIn 2 2 1 a t 1a f x In f(x):0,x In f(x)0.2 2 2 2-9 1 a 1 a f(x)1 n-)f(x)Ina,6 2 2 2 2 2x 2x e g(x)(-1,1,f(x):a,x+1 1 g(x)=0,x-,2 1 1-1:x,g(x):0,x E1,g(x)0,2 2 1 1 g(x)(-1,-),(-,1.2 2 1 2 2 g(x)
8、min=g()a).12 2 e e 19.f(x)=sin(2x+9+3cos(2x+f)=2sin(2x+B+)3 f(x)f(x)f(x)2si n(2x+9+-)=2si n(2x+9+一)3 3 TT 2sin2x cos(9+-)0 xR 3 TT IT-cos(+)=0 0 W9Wn 9=-:3 6(2)9=f(x)=2sin(2x+-)=2cos2x=1 6 2 f(x)=2sin(xH;)(,2)6(n)f(x):a,.e2x ax:a 2x a(x 1)e x(-1,1 a g(x)min-g(x)2x e(2x 1)(x 1)2 cos2xi 20.(I)-|_ 5:JI
9、 5d|n x,,I 6 6 6 6 c T 2 ,A=2,()6 4 6 3 12-x n,T=2-1 2 x 10 2 2 2 0;:*;:;,f(x)=2sin(x)x 6 2 3 3 3 6 2 xf(x)=2sin(x)=2sin(-x)=2sinx 6 3 3 3 3-11 y=f(x)x f(x)=f(x)6 3 f(x)=2sin x,_ x 6 2si n(x w),x.f(x)3 3 6 2sin x,Jt X 6 r 2“n(n)x 3 6 f(x)2sin(sin(x 3 2 5:.:12 12 JI x6 L J2 f(x)2sin x=2,sin x x=44 5
10、f(x)23I.12 12 4 m-2:f(x)=:m 2x-3 2x-2_.3 m2c0 I f(x)Linm-2 in m+2A2 lf(x)lax:m 2 min 13 2.21.(I)a=1 g(x)=x-3x In x g(x)2 2x-3x 1 0 x x 1x:1f(x)(0,1),(1,7)2(n)g(x)x-(2a 1)x aln x,g(x2x-(2a 1)*-(2a 1)x a(2x T)(x-a)x a-1x 1,e,g(x)0,g(x)g(x)min=-2a 1:a:ex(1,a),g(x):0,g(x).x(a,e),g(x)0,g(x)2-12 221.14g(x)x-(2a 1)x alnx(i)a=1,g(x)(n)g(x)1,e2(III)(i)f(x)g(x)4x-x-21 nx,g(x)min=g(a)-a-a aln a a_e1,e|g(x)-0,g(x)g(X)min=g(e)=e2-(2a 1)e a-2a,a 1 g(x)=-a2-a+aln a,1 In n 2(-1)2(V-3 2 4 n 2 n n 1 n+1 2 3n2 _ n _ 2(n2)n(n-1)14