A.(-2,0(∪(0,2(B.(-1,3(C.(-3,0(∪(0,1(D.(-1,0(∪(0,3(A.函數(shù)y=2x+、x-1的值域為[2,+∞(B.函數(shù)f(x(=tanx的值域為RC.函數(shù)f(x(=ex-1與g(x是同一個函數(shù)D.若函數(shù)f(x-1(的定義域為[1,4[，則函數(shù)f(2x(的定義域為[0,2[有f(f(x(-log2x(=3，則f(22025)-2的值是()f(x(=x(2-x(，則f(9(=；x∈(-4,-2[時，f(x(=．5.(24-25高二下·廣東云浮·期末)已知函數(shù)f(x(的定義域為R，滿足f(x+y(>f(x(.f(y(，且f(1(=1122A.f(10(>104B.f(20(>106C.f(10(<104D.f(20(<106f(y(+1=f(x+y(，則()A.f(-2(=-3B.f(2025(=2024C.f(x(有最大值D.f(x(+1是奇函數(shù)f(x(f(y(，且f(1(=2，則++…+=()7.(23-24高一上·廣東江門·期末)已知函數(shù)f(x(的定義域為R，對于任意實數(shù)x，y滿足ff(x(f(y(，且f(1(=2，則++…+=()f(1(f(3(f(2023(8.(24-25高一上·廣東佛山·期末)已知定義在R上的函數(shù)f(x(滿足f(x+y，且當(dāng)x>0時，0<f(x(<1，則f(x(是()A.奇函數(shù)，在(0,+∞(上單調(diào)遞增B.奇函數(shù)，在(0,+∞(上單調(diào)遞減9.【多選】(23-24高三上·廣東汕頭·期末)已知定義在(0,+∞(上的函數(shù)f(x(滿足：?x,y∈(0,+∞(，f(x(+f(y(=f(xy(，且當(dāng)0<x<1時，f(x(<0，若f(2(=1，則()A.f(1(=0B.f(x(在(0,+∞(上單調(diào)遞減C.|f(x(|=|fD.f(2(+f(22(+…+f(220(=5510.(23-24高一上·廣東珠海·期末)已知定義在R上的函數(shù)f(x(滿足f(xy(=f(x(f(y(-f(x(-f(y(+f(0(<f(1(，且f(x(>0.(1)求f(-1(的值；11.(23-24高一上·廣東梅州·期末)已知f(x(是定義在R上且不恒為零的函數(shù)，對于任意實數(shù)a,b滿足f(ab(=af(b(+bf(a(，若f(3(=2，則f(-1(+f(-=()A.B.C.D.-3312.(24-25高一上·廣東深圳·期末)設(shè)函數(shù)f(x(是定義在R上的周期為4的偶函數(shù)，當(dāng)x∈[-2,0[時，f(x(=x+1，則f(5(=()A.-2B.0C.2D.613.(24-25高二下·廣東深圳·期末)定義在R上的奇函數(shù)f(x(滿足f(2-x(=f(x(，且f(11(+f(10(=-1，則f(1(=．14.(22-23高三上·廣東·期末)已知函數(shù)f(x(，?x，y∈R，有f(x+y(=f(x(.f(a-y(+f(y(.f(a-x(，A.4a是f(x(的一個周期B.f(x(是奇函數(shù)C.f(x(是偶函數(shù)D.f(a(=1<時，f(x(=(x-2，則f=．16.(24-25高三上·廣東湛江·期末)已知函數(shù)f(x(滿足f(x-2(+f(-x(=0，且f(x+1(是奇函數(shù)，若f(2(=3，則f(9(+f(10(=()A.-6B.-3C.3D.6(1-x)f(x-1)-f(x-2),17.(24-25高二上·廣東廣州(1-x)f(x-1)-f(x-2),f(2024)的值為()A.-1B.0C.1D.2x≤0x>018.(22-23高二上·廣東深圳·期末)已知定義域為R的函數(shù)f(x(滿足f(3x+1(是奇函數(shù)，f(2x-1(是偶A.f(x(的圖象關(guān)于直線x=-1對稱B.f(x(的圖象關(guān)于點(1,0)對稱C.f(-3(=1D.f(x(的一個周期為8(-|x+2|,x<0(-|x+2|,x<020.(24-25高一下·廣東廣州·期末)已知函數(shù)f(x(,g(x(的定義域均為R，且f(x)+g(1-x)=3，g(x(+44A.f(-x(=-f(x(B.g(-x(=-g(x(C.=6066DA.4是f(x)的一個周期B.f(x)的圖象關(guān)于直線x=2對稱CD.方程f(x)=ln|x|恰有8不同的實數(shù)根22.(24-25高一上·廣東汕尾·期末)若函數(shù)f(x)=(x2-2x)(x2+mx+n)的圖象關(guān)于直線x=-1對稱，則m+n=，f(x)的最小值為.A.充要條件B.充分不必要條件C.必要不充分條件D.既不充分也不必要條件A.(-∞,1)B.(-1,1)C.(-3,1)D.(-∞,1]不等式f(x-2(<f(3(的解集為()A.(-1,5(B.(-∞,-1(∪(2,5(C.(-∞,-1(∪(5,+∞(D.(-1,2(∪(5,+∞(26.(24-25高一上·廣東深圳·期末)已知函數(shù)f(x)是定義域為R的奇函數(shù)，且f(x)在[0,+∞)上單調(diào)遞減．若f(3+m)+f(3m-7)>0，則m的取值范圍為()A.(-∞,0)B.(0,+∞)C.(-∞,1)D.(1,+∞)27.(22-23高一上·廣東深圳·期末)若f(x(是偶函數(shù)且在[0,+∞(上單調(diào)遞增，又f(-2(=1，則不等式f(x(>1的解集為()A.{x|-2<x<2{B.{x|x<-2或x>2}C.{x|x<-2或0<x<2}D.{x|x>2或-2<x<0}5528.(22-23高一上·廣東肇慶·期末)已知函數(shù)f(x(的定義域是R，函數(shù)f(x+1(的圖象的對稱中心是f(x(-x>0的解集為()A.(-∞,-1(∪(1,+∞(B.(-1,1(C.(-∞,-1(∪(0,1(D.(-1,0(∪(1,+∞(29.(25-26高一上·廣東·期末)設(shè)偶函數(shù)f(x)的定義域為R，當(dāng)x∈[0,+∞(時，f(x)是-7)，f(π(，f(-3)的大小關(guān)系是()A.f(π(>f(-3(>f(-7(B.f(π(>f(-7(>f(-3(C.f(π(<f(-3(<f(-7(D.f(π(<f(-7(<f(-3(30.(22-23高二上·廣東·期末)已知定義在R上的函數(shù)f(x(滿足：f(-x(+f(x(=0，f(2-x(=f(x(，且A.f(-5.3(<f(5.5(<f(2(B.f(-5.3(<f(2(<f(