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# ?????????? ??????? ??? 2009.9.17 - PowerPoint PPT Presentation

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2009.9.17

1 等差数列与等比数列相关类比有:

(1)定义与符号的类比.

(2)通项公式的类比.

(4)性质的类比.

(3)运算符号的类比.

(5)处理方式的类比.

2 等差数列与等比数列相关类比的差异:

(1)等差中项与等比例中项.

(2)前n项和公式等.

(1)在等比数列 中,若 则有下列等式

(2)在等比数列 中,若 则有下列等式

1:

1 通过对前几项观察,归纳出一般结果.

2 通过对递推关系的变形化归为等差

1 本节课考察了数列中四种数学思想方法,即特殊到一般(归纳),等差与等比的类比思想,累加的思想方法及构造、化归的思想.

2 递推公式在信息学中用框图给出,用计算

1 数列 满足 且对任意

2 设 是集合 且

3 数列 满足

(选做题)

• 4、根据你喜欢的方法自己提出一个问题并加以解决。

1 特殊 一般的思想(归纳).

2 类比(从等差到等比).

3 累加(数列的线性递推).

4 错位相减的思想.

5 构造新数列(化归).

6 变差消项.

7 函数的思想.