2022年代数式知识点总结3 .pdf

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1、七年级第二章代数式一、列代数式重点：用字母表示数比谁的几倍多（少）几的问题比谁的几分之几多（少）几的问题折扣问题：例：八折是乘 0.8，八五折是乘 0.85 提价与降价问题：例：一个商品原价 a,先提价 20%,在降价 20%，即 a（1+20%）（1-20%）路程问题：把握 s=vt 出租车计费问题：分类讨论思想，将总路程切割成不同的段(例：前三公里收费 7 元，之后每公里 1.6 元，公里数 x，总费用 y）Y=7 x3 Y=Y=1.6（x-3）+7 x3 已知各数位上的数字，表示数的问题：字母乘 10 表示在十位上，乘100 表示在百位上。特定字母的意义：C：周长 S：面积 V:体积 r

2、：半径 d：直径s：路程 t：时间 v：速度n：正整数二、单项式与多项式1、概念单项式：数字与字母用乘号连接的式子称为单项式多项式：多个单项式的和称为多项式整式：单项式与多项式合称为整式例：次数系数25bca34注：次数为 1 时一般省略不写字母文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10

3、W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T

4、2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4

5、L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H

6、10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F

7、3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9

8、Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9单项式的次数即所有

9、字母指数的和按照次数可以将单项式分为一次项、二次项、三次项其对应的系数为一次项系数、二次项系数特别：没有字母的单项式（次数为零的单项式）称为常数项。多项式的次数为最高次幂项的次数，多项式的项数为单项式的个数。例：6ab45ab432是一个四次三项式。三、整式加法重点：合并同类项同类项概念：字母及字母指数相同的两个单项式称为同类项。合并同类项：将两个同类项的系数相加，字母及字母的指数不变，即为合并同类项。（考点）四、整式乘法和整式除法符号系数33a指数幂字母文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4

10、 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文

11、档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W

12、3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2

13、H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L

14、9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H1

15、0W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3

16、T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9幂的乘法：同底数幂相乘，底数不变，指数相加nmnaaa m幂的乘方：同底数幂的乘方，底数不变，指数相乘mnnmaa幂的除法：同底数幂的除法，底数不变，指数相减nmnmaaa整式乘法：单项式与单项式相乘，系数与系数相乘，作为积的系数，将相同字母分别相乘，对于只在一个单项式里的系数，则作为积的一个因数。多项式与单项式相乘，将这个单项式与多项式的每一项分别相乘，再把结果相加。多项式与多项式相乘，把一个多项式

17、里的每一项分别与另一个多项式相乘，再把所得的积相加。整式乘法遵循乘法结合律、乘法交换律、以及乘法分配律。五、整式混合运算整式混合运算中的原则：先化简，后求值原则任何数与 0 相乘都为零文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编

18、码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U

19、4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4

20、 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文

21、档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W

22、3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2

23、H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9括号前是负号，则括号内的每一项都变号脱括号一般遵循从内到外，从小到大的脱括号方式

24、化简后的式子一般按次幂从高到低排列。系数为一时省略不写，指数为一时省略不写。六、整式乘法常用公式平方和公式：2222)bababa（平方差公式：22)bababa（七、一般的找规律性问题找规律的常用方法：图像法：2n1n公式法：文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q

25、4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3

26、I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW

27、9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU

28、9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6

29、Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:

30、CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L92项数末项首项看差法：差相等（为 2

31、）的情况，与 2n 有关例：na2n规律13232545=3+23767=3+2+24989=3+2+2+2n2n+12na=3+2（n-1）差为奇数数列的情况,与2n有关例：na2n规律文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文

32、档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W

33、3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2

34、H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L

35、9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H1

36、0W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3

37、T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L912122542+331092+3+5417162+3+5+7n2n+12n

38、2+3+5+7+9+差为n2的情况，与n2有关例：nan2规律13232543+23983+2+4417163+2+4+8nn2+1n23+2+4+8+16+32+文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10

39、W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T

40、2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4

41、L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H

42、10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F

43、3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9文档编码:CW9H2H10W3U4 HU9Q4F3T2H4 ZJ6Z3I9Z4L9