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七上《合并同类项1》

七上《合并同类项1》
七上《合并同类项1》

七年级数学上学期学研测

3.4合并同类项(1)

学习目标:

1、理解同类项的有关系数、项的概念。

2、运用同类项的有关系数、项的概念知识解决问题。

学习重点:理解同类项的有关系数、项的概念

一、自主学习:预习课本并回答下列问题

1、当代数式是数与字母的乘积时, 叫做这个代数式的系数,如1.5x 的系数为

2、练习:代数式2x 的系数是________;代数式-4xy 的系数________;

代数式x 的系数是________;代数式r π3

1的系数________; 代数-x 的系数是________;

二、重点研讨:

1、代数式x+2y 的项数是______,项分别_________________,它们的系数分别是_________________;

2、代数式2244b ab a +-是______ 项的和,项分别是_______________,它们的系数分别_________________

三、巩固训练:

1、写出下列单项式的系数 ①5

ab ②-4x ③-32abc ④ a ⑤ -73x 2y 3 ⑥(-2)2x 3yz ⑦31

Πab

2、分别指出下列代数式的项和各项系数

①4x 2-21

, ②a 4+b 4-a 2b 2 , ③a 6-5a 5+6a ,④-x 3-432y x +2x 2y 2

3、下列代数式分别是几项的和?每项的系数分别是什么?

(1)-2t 2+3t-10 (2)a 2-b 2+

2

ab +38

四、延伸迁移: 1、观察下列代数式:-x , 2x 2 ,-3x 3 ,4x 4

……

(1)根据你发现的规律,写出第201和202个代数式。

(2)进一步写出第 n 个 (n+1) 个代数式.

五、课堂检测:

1、代数式332xy -的系数与次数分别是( )

A. 2-,4

B. 6-,3

C. 2-,3

D. 8- 2、代数式2

58mn -的系数是______,23m np 的系数是______

代数式-723b

a 的系数为 。

3、代数式a 2-ab 2+b 2有 项,它们的系数分别为 。

4、代数式xy 2-1+5x 是______项的和,项分别是_______________,它们的系数分别是_________________

5、分别指出下列多项式的项和各项系数

4x 2-21 , a 4+b 4-a 2b 2 , a 6-5a 5+6a ,-x 3-432y x +2x 2y 2

学习收获:

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