高中数学《对数与对数运算》同步练习9新人教A版必修1_图文.pdf

2.2对数函数2．2.1对数与对数运算1．以下说法不正确的是()A．0和负数没有对数B．对数值可以是任意实数C．以a(a>0，a≠1)为底1的对数等于0D．以3为底9的对数等于±２2．下列指数式与对数式互化不正确的一组是()A．e0＝1与ln1＝01111B．8－＝与log＝－328231C．log9＝2与9＝3321D．log77＝1与7＝73．有以下四个结论：①lg(lg10)＝0；②ln(lne)＝0；③若10＝lgx，则x＝100；④若e＝lnx，则x＝e2.其中正确的是()A．①③B．②④C．①②D．③④4．计算：(1)lg1＋lg10＋lg100；(2)lg0.1＋lg0.01＋lg0.001.课堂巩固1．对数式x＝ln2化为指数式是()A．xe＝2B．ex＝2C．x2＝eD．2x＝e2．下列指数式与对数式互化不正确．．．的一组是()A．100＝1与lg1＝01111B．27－＝与log＝－332733C．log4＝2与24＝221D．log55＝1与5＝573．若logb＝c，则a，b，c之间满足()aA．b7＝acB．b＝a7cC．b＝7acD．b＝c7ax144．(2009河南六市第一次联考，文3)设f(x)＝1＋log，则f()＋f()的值为()21－x55A．1B．2C．3D．45．给出以下三个命题：①对数的真数是非负数；②若a>0且a≠1，则loga1＝0；③若a>0且a≠1，则logaa＝1.其中正确命题的序号是__________．16．log5＝a，logb＝2，则b－a＝__________.53717．计算：log＋log12－log42.2482221．计算2log525＋3log264－8log71的值为…（)A．14B．8C．22D．271112．若log[log(logx)]＝log[log(logy)]＝log[log(logz)]＝0，则x、y、z的222333555大小关系是…()A．z<x<yB．x<y<zC．y<z<xD．z<y<xM3.2log(M－2N)＝logM＋logN，则的值为…aaaN()1A.B．44C．1D．4或1x4f(x)(x>0)f()f(x)f(y)f(9)8f(3)()yA2B2C1D45ab>0a1aa1lg(ab)lgalgblglgalgblg()2lglg(ab).b2bblogab10()A0B1C2D322x6xy4x2y50logx(y)()A1B0CxDyb7lga2.4310lgb1.4310a()11A.B.10100C10D1008log2mlog3na2mn__________.aa9aba22ab3b20log(a2abb2)log(a2abb2)33__________.2xx<110(20085)f(x)f(x)log4xx>11x411x231(1)logx(2)log27(3)xlog8.83x42a12(1)32alog34log36(2)log2a,3b5ablog30.332.222.11D2.C3.C4(1)0123.(2)1236.1B2.C773Blogbcbacba7c.a1414Bf()f()1log1log42.55242501log10a1aloga1a1()a5?a16105?ba10.b32911117(log7log48)log32log2(log7log2log3)log722222222222211111log3log16log32log7log3.22222222221C22368022.12Alog[log(logz)]0555111log(logz)1logzz5.5555511x2y3.2311(2)102532(5)1052252511(2)10>(5)10.x>z.25y>x.y>x>z.3BM>0N>0M2N>0.M>2BN94Df(3)f()f(9)f(3)31f(3)f(9)4.25Ba<0b<0ab16B(x2)2(y1)20x2y1yx1log(yx)log10.x2x2.43101.43107AaN?logaNx(a>0a1)a10b10b101.43101101.43102.4310101.a102.43101048.log2mlog3n3aam2an3.a2m(am)22242mn.anan3391abb0.a22ab3b20b2aa()22()30bbaa3)(1)0.bbaa13()bbab.222222log3(aabb)log3(aabb)log3(3a)log3alog331.110x(1)2xx22?(1)x(141)logxx22(1)x2.44211(1)logx83221x8(23)22.33433(2)log27x2733x4413.x34