200802二、填空題1、()f()=x(R)1+|x|①f)②若xxfxfx)1212x③f)=ff)=f[ff)=N.*1+n|x|1nn2、(江蘇省啟東中學(xué)年高三綜合測試一)已知函數(shù)f(x3的反函數(shù)是且f(x)1xf(18)a31a2yyyyxxxxOOOO①②③④xaxbxcx432xｘ212ｘｘ.12blogx(x1f[f(=(x0)9f(x)32x1411x≤}=xmm22f(x)|x{}|1yf(x)R，；2kyf(x)x2yf(x)；yf(x)．①②③④ymx2(m3)x1的值域是)m)(x)xax)f2a。0121231()xxf(x)=f52xxxx1212xxxx；1212f(x)f(x)f(x)f(x)xx②xxxx；③(.2f)1xx212112122212當gx.naij第ija=1a=07ijijaaaaa；17273747n7aaaa2若a．31323334n32xa1x4xx,xx012、()f(x)21212f(x)f(x)a1212、(北京市崇文區(qū)年高三統(tǒng)一練習(xí)一)定義在R上的函數(shù)1(1x0)f(x滿足f(xf(x),且f(x)=.1(0x1(2xy.131(2Ra,bR,a*bb*aaR,a*0a；；a,bR,(a*b)*cc*(ab)(a*c)b*c)2c，1(x)x*(x則f.x3年4yx2(x0)(0)xx年5,,DDDfgDxxfgfg有為在2，為x0gxxDgfgfDfxxxxxxfg在xRx=gx。fg|X|－f(x)xxc；c2ylogx；yx2(x)lg(xaxa)a4a0或；f2④yf(xyf(x)x0是.(x)x4x(x2)的反函數(shù)為、(四川省成都市高屆畢業(yè)班摸底測試)已知函數(shù)f2f1(x，則f1=.6x()fxf(x)lgx21(x)f(x)20x1f(x)+f.x1f(x)f(x)y4yx對yxf(x)；logxx0y41x、(東北師大附中高屆第四次摸底考試)為使函數(shù)f(x)在x1處連續(xù)，需定義1x2f(；12x3，xRfx．523g(x)f(x)g(x)＝x對x；yg(x)23，；g(x)2x3xg(x)log(x3)223g(x)x)f()f()f3，25、()f(x)f(pf(1)f(2)f(2)f(4)f(3)f(6)f(4)f(8)2222＋＋＋＝.f(1)f(3)f(5)f(7)fx2,x2x21x1ff2008fx。x2x400cosxcosxy44x3x1yx210為2xRx1pa1pxRx1。π4π41－＋＝＝＝Tπ22231＝.,2.y(km)x的關(guān)系,f(x),y.1x(0x30)(30x40)152y1x2(40x60)104f(x)1a,b（a,b|x|20，則滿足條件的整數(shù)數(shù)對(a,b).5yx4x6.時，y2x1024xy2x時，y2x102；x；；2(x2xf(x),(x(xf則,f184qf(x)的定義域為[p,q]p=033[0,1]yf(x)、0xx1xx1212①②；f(x)f(x)xx2121xf(x)xf(x)；2112f(x)f(x)xx③f．121222224ab1311、()33=ab)3(3a0,b0）；y與ta1tya16。1t,(0t),10y)211(),(t).t16101()2(xxff(x)21(xf(x2(xex（aa0f(x)21(xf(x)1f(x)R在f(x)在Rxx1f(x)f(x)xx0且xx0f().212221212、(黑龍江省哈師大附中屆高三上期末)已知61f(x)4(kRf(f(l)g。x28A,Bf(x)AB；f(a)aABaff(x)f(x)B的xf(x)f(x)f(x)f(x)．x0ex（aa0屆2f(x)x02f(x)f(x)f(x)在Rf(x)xxf(x)f(x)0x0,x0xx)2在x且f(112221212。y=fxxxf(x)f(x)2f(①圖象關(guān)于y軸對稱；②對定義域內(nèi)任意不同兩點x,都有2)121212.f(x)x,f(x)x(xf(x)|x|(x).22222ff..f(x)|logx|fa)f，則a3。1))2xf(x)x0f(x)xaf6，22a=521x0x、()f(x)＞1x0f(x)xx00)a,ab對a,b記||）xxb,a＜bx.32mx1mx24mx3f(x)m4。31x設(shè)Cy2≤）xA⊥＝Of()，y則f()＝.1,，242在0,1alogx1fxxa為aa12f(x)2x．35,k]kZ(k6x)f(x)f(x)fRf(x)f(x)ff(x)在1,2f(x)在2,11,0，x)f(x)f(x)f∵f(x)f(x)注：∵∴∴，f(2x)f(x)f(x)f(2x)f(x4)f2x4fx2f(x4)fx2∴f(x)；∴∴5f(xf2x2fxfxf(x)設(shè)f(x)(f(x)fx)x(f(x)x,x2f(x)有11f(x)fx)1222(f(x)fx)x(f(x)fx)；x；(f(x)f(x)x,x(f(x)f(x)x,x12121212log|x）a▲<|x、1與y5x4kxax2ka4181bab1,ablgalgb,M211,N2,25a則223241255ab，ab(ab)2ab222x數(shù)f(x)(x2f(x在區(qū)間[3,7]上2f(f(=▲．、()fxx2m2x3m．2xx7．32logx(0af(x)[a,2a]a3a24設(shè)R，3f,f21xx2m4則t及t2)、(山西省實驗中學(xué)—學(xué)年度高三年級第四次月考)已知x0)f(x),則不等式x(x2)f(x2)5。x0)3,)2f(x)xxbxc4f(x)0yf(x)②c00,c0①b③yf(x)(0,c)f(x)02.x21(xf(10)1f(x)2x(x3、(