光速解題-學(xué)會(huì)16中快速解題技法（學(xué)生版）

光速解題—學(xué)會(huì)16種快速解題技法例題1.設(shè)函數(shù)，若f(a(>f(-a)，則C.存在a，b，使得x=b為曲線y=f(x)的對(duì)稱軸D.存在a，使得點(diǎn)(1,f(1)(為曲線y=f(x)的對(duì)稱中心11A.2n-1-1B.2n-1C.2n-1D.2n+1A.B.C.D.例題6.(特殊點(diǎn))函數(shù)f(x)=的圖象是()A.y21111B.y21111C.y211112D.y11O1O12①“影子函數(shù)”f(x)的值域可以是R；②“影子函數(shù)”f(x)可以是奇函數(shù)；上述正確命題的序號(hào)是()A.①B.②C.③D.②③EQ\*jc3\*hps21\o\al(\s\up8(—→),B)EQ\*jc3\*hps21\o\al(\s\up8(—→),C)EQ\*jc3\*hps21\o\al(\s\up9(—→),P)EQ\*jc3\*hps21\o\al(\s\up9(—→),Q)A.3B.4C.5D.A.B.C.D.A.a1a8>a4a5例題12.(特殊值+特殊位置)函數(shù)f(x)=x3+ax+b(a，b∈R)在點(diǎn)A(x1,f(x1)(，B(x2,f(x2)(處的切線分別記為l1，l2，2233244EQ\*jc3\*hps21\o\al(\s\up7(→),a)EQ\*jc3\*hps21\o\al(\s\up7(→),b)EQ\*jc3\*hps21\o\al(\s\up7(→),a)EQ\*jc3\*hps21\o\al(\s\up7(→),c)EQ\*jc3\*hps21\o\al(\s\up7(→),b)EQ\*jc3\*hps21\o\al(\s\up7(→),c)為()A.-2B.2-2C.-1D.1-2例題17.(函數(shù)問題)用min{a,b,c}表示a，b，c三個(gè)為()A.4B.5C.6D.7例題18.(方程問題)已知函數(shù)f(x)是定義在R上的奇函數(shù)，若f(x)={(x2-3x+,為,則關(guān)于x的方程f,則關(guān)于x的方程f(x)()A.aB.a-1C.1-2aD.2a-12x+y≤2,2x+y≤2, x+y≥0.()EQ\*jc3\*hps21\o\al(\s\up7(→),a)EQ\*jc3\*hps21\o\al(\s\up7(→),b)EQ\*jc3\*hps21\o\al(\s\up7(→),c)EQ\*jc3\*hps21\o\al(\s\up7(→),a)EQ\*jc3\*hps21\o\al(\s\up7(→),b)EQ\*jc3\*hps21\o\al(\s\up7(→),c)EQ\*jc3\*hps21\o\al(\s\up7(→),a)EQ\*jc3\*hps21\o\al(\s\up7(→),b)EQ\*jc3\*hps21\o\al(\s\up7(→),b)EQ\*jc3\*hps21\o\al(\s\up7(→),c)EQ\*jc3\*hps21\o\al(\s\up7(→),c)EQ\*jc3\*hps21\o\al(\s\up7(→),a)EQ\*jc3\*hps21\o\al(\s\up9(—→),P)EQ\*jc3\*hps21\o\al(\s\up9(—→),C)EQ\*jc3\*hps21\o\al(\s\up9(→),1)例題25.(2021.新高考1)函數(shù)f(x)=|2x-1|-2lnx的最小值為．例題26.(2020.新高考)若定義在R的奇函數(shù)f(x)在(-∞,0(單調(diào)遞減，且f(2)=0，則滿足xf(x-1)≥0的x的取值范圍是()A.[-1,1[∪[3,+∞(B.[-3,-1[∪[0,1[C.[-1,0[∪[1,+∞(D.[-1,0[∪[1,3[55例題27.(2022.新高考1)記函數(shù)f(x)=sin(ωx++bA.1B.C.D.3EQ\*jc3\*hps21\o\al(\s\up7(→),a)EQ\*jc3\*hps21\o\al(\s\up7(→),b)EQ\*jc3\*hps21\o\al(\s\up7(→),c)EQ\*jc3\*hps21\o\al(\s\up7(→),a)EQ\*jc3\*hps21\o\al(\s\up7(→),b)EQ\*jc3\*hps21\o\al(\s\up7(→),a)EQ\*jc3\*hps21\o\al(\s\up7(→),c)EQ\*jc3\*hps21\o\al(\s\up7(→),b)EQ\*jc3\*hps21\o\al(\s\up7(→),c)A.-6B.-5C.5D.6A.f(x)在區(qū)間(0,單調(diào)遞減B.f(x)在區(qū)間(-,有兩個(gè)極值點(diǎn)C.直線x=是曲線y=f(x)的對(duì)稱軸D.直線y=-x是曲線y=f(x)的切線EQ\*jc3\*hps21\o\al(\s\up9(—→),1A)EQ\*jc3\*hps21\o\al(\s\up9(—→),1B)EQ\*jc3\*hps21\o\al(\s\up9(—→),2A)EQ\*jc3\*hps21\o\al(\s\up9(—→),2B)則f(π)=．EQ\*jc3\*hps21\o\al(\s\up7(-),x)EQ\*jc3\*hps21\o\al(\s\up7(-),ln)EQ\*jc3\*hps21\o\al(\s\up7(a),x)EQ\*jc3\*hps21\o\al(\s\up7(-),1)EQ\*jc3\*hps21\o\al(\s\up7(x),x)EQ\*jc3\*hps21\o\al(\s\up7(0),0)A.(-∞,0[B.[-1,0[C.[-1,1[D.[0,+∞(A.3B.4C.6D.8A.x=3是f(x)的極小值點(diǎn)B.當(dāng)0<x<1時(shí)，f(x)<f(x2)C.當(dāng)1<x<2時(shí)，-4<f(2x-1)<0D.當(dāng)-1<x<0時(shí)，f(2-x)>f(x)A.-1B.C.1D.2A.B.C.D.166例題39.某美妙音樂的模型函數(shù)為則關(guān)于該函數(shù)下列說法正確的是()C.在區(qū)間上單調(diào)遞增D.最大值為A.f(x)在區(qū)間(2,3(內(nèi)存在零點(diǎn)B.0是f(x)的極小值點(diǎn)C.f(x)在區(qū)間(0,1(內(nèi)存在極大值D.f(x)在區(qū)間(-1,0(上單調(diào)遞減775極限思想法(極端性原則)()A.1B.2C.-1D.8899n=．例題48.(構(gòu)造函數(shù))已知定義在上的函數(shù)f(x)的導(dǎo)函數(shù)為f'(x)，且f(x)<f'(x)tanx恒成立，則()D.3f<f例題51.(等體積轉(zhuǎn)化)如圖，正方體ABCD-A1B1C1D1的棱長為1，E，F(xiàn)分別為線段AA1，B1C上的點(diǎn)，則三棱錐D1-EDF的體積為(