2.2.1对数与对数的运算.pdf
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1、第1页第二章基本初等函数课题:2.2.1 对数与对数的运算设计人:宫玲玲审核人:向坤、张自强班级:姓名:问题生成评价单一、对数的概念1、对数的概念一般地,如果ax=N(a0,且 a1),那么数 x 叫做以 _为底_的对数(logarithm),记作 x=_,其中 a 叫做对数的 _,N叫做_.以 10 为底数的对数叫做常用对数(common logarithm),并把log10N记为_.另外,在科学技术中常使用以无理数e=2.71828 为底数的对数,以 e 为底的对数称为自然对数(natural logarithm),并把logeN记为_.2、对数的性质根据对数的概念,对数logaN(a0,
2、且 a1)具有以下性质:(1)_ 没有对数,即 N0.(2)1 的对数等于 _,即loga1=_.(3)底的对数等于 _,即logaa=_.二、对数的运算1、基本性质若 a0,且 a1,N0,则(1)logaNa=_;(2)logaab=_.第2页2、对数的运算性质如果 a0,且 a1,M0,N0,那么:(1)loga(MN)=_;(2)logaMN=_;(3)logaMn=_(nR).3、对数的换底公式对数的换底公式:logloglogcbcNNb(b0,且 b1;c0,且 c1;N0).变形公式一:loglog1abbag变形公式二:loglognmNNmMMn文档编码:CG10I6A8B
3、3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY
4、5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H
5、2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS
6、9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4
7、L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档
8、编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG1
9、0I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1第3页问题解决评价单典例 1求下列各式中的x 值:(1)3log 272x;(2)22log3x;(3)25log(log)0 x.变式 1 求下列各式中的 x 值:(1)5log3x;(2)lo
10、gx216=3;(3)log3(lgx)=1.典例 2若 a0,且 a1,xy0,nN*,则下列各式:其中式子成立的个数为()A、3 B、4 C、5 D、5 文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6
11、A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2
12、 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3
13、M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9
14、 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H1
15、0J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H
16、1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1第4页变式
17、 2 若 a0,且 a1,xy0,则下列式子成立的是()log()loglogaaaxyxy;lgloglgaxxa;loglognnaaxx.A、B、C、D、典例 3变式 3 求下列各式的值:文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H1
18、0J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H
19、1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:
20、CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6
21、A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2
22、 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3
23、M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9 ZS9H10J4L7H1文档编码:CG10I6A8B3P2 HY5J3M1H2K9
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