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对数的运算性质 properties of logarithm operation

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Presentation on theme: "对数的运算性质 properties of logarithm operation"— Presentation transcript:

1 对数的运算性质 properties of logarithm operation

2 复习回顾 review 1、对数定义 logarithm 3、指数的运算性质 2、对数恒等式 logarithmic equality
properties of index operation

3 3 5 8 3 5 5 5 探究1:exploration 1 值 -2 式 猜想性质 第一组first group
第二组 second group 第三组third group 猜想性质 3 5 8 3 5 -2 5 5

4 探究2: exploration 2 M 50 2008 N 20 1949 3 3

5 Induct properties of logarithm operation
如果 a > 0,a  1,M > 0, N > 0 有:

6 Application: (1) (2) (2) (1) (3)
example1 :count (1) (2) Example2 Used to express the following, (2) (1) (3)

7 think: judge whether the Expression is right, if not, please give a counterexample. (1) (2) (3) (4)

8 Practice P,83页

9 summary: a > 0,a  1,M > 0, N > 0 周期函数定义: 一般地,对于函数
(x),如果存在一个非零常数T,使得当x取定义域内的每一个值时,都有 (x+T)= (x), 那么函数(x)就叫做周期函数,非零常数T叫做这个函数的周期。 正弦、余弦函数都是周期函数,2k (kZ且k0) 都是它们的周期,最小正周期是2.

10 homework: p. 87      3,4 ,5 questions

11 谢 谢 thanks 尧山中学数学组 阴蒲利


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