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初中数学教资面试真题试讲稿《去括号》

  • 2026-04-13 10:19:17
初中数学教资面试真题试讲稿《去括号》

开始上课

同学们,愉快的一节课马上就要开始了,你们准备好了吗?

嗯好,那就开始我们今天的数学探究之旅吧。

上课, 同学们好, 请坐。

课堂导入

同学们,我们在上个寒假组织了勤工俭学活动,相信同学们都能在勤工

俭学活动中感受到赚钱的不易,所以我们不能铺张浪费、要勤俭节约。

在这个过程中呢,相信很多同学们也发现了,数学的计算也是起到大用

场的。我们一起来看这样的一个题目:在假期的勤工俭学活动中,小亮

从报社以每份0.4 元的价格购进a 份报纸,以每份0. 5 元的价格卖出b

份(b≤a)报纸,剩余的报纸以每份0.2 元的价格退回报社,小亮赢利多少

元? 请大家尝试列式计算。老师看很多同学都停笔了,你来说说你是怎

样列式的?

小亮购进a 份报纸支出0.4a 元,售出b 份报纸收入0.5b 元。退回剩余

报纸收入0.2(a-b)元,这样,小亮赢利[- 0.4a +0.5b+0.2(a-b)]元。思路

完整清晰,老师帮你记录一下。大家看到,小亮的盈利现在是以这样的

形式来呈现的,请大家思考,这个式子还能不能化简,如何化为最简便

形式?老师听到大家异口同声地说,需要合并同类项。合并同类项先得

把多项式-0.4a +0.5b+0.2(a - b)中的括号去掉。没错,在化简代代数

式的过程中,遇到括号的时候,为了便于合并同类项,常常需要先将括

号去掉,今天咱们就一起学习去括号的法则。

新课讲授

同学们还记得以前学习过有括号的情况的运算法则吗?你来说:有括号

先做括号中运算。是的,不过有时候这样并不一定能解决问题,这就需

要我们另想办法。请大家计算填写多媒体中出示的表格、并且小组内交

流讨论,看看你们有没有什么发现。

老师在巡视的过程中发现很多小组都能够明确分工、还有的小组有了猜

想之后用自己的方式进行了验证。现在找小组代表来分享一下,从这张

表中你发现了什么?请同学们用自己的语言描述一下你的发现?

三组代表,你通过表格发现a+(-b+c)=a+(-b+c),a-(-b+c)=a+b-c,

计算准确、观察仔细、表达清晰请坐。

五组代表手举得高高的,你们还有什么补充?哦,你们又赋予a.b,c 更多

的值进行计算,确信a+(-b+c)=a+(-b+c),a-(-b+c)=a+b-c。非常好,

也就是说,我们发现,不论abc 取什么值,都有这样的关系。

现在请大家思考,去括号前后,括号里各项的符号有什么变化? 等号左

边有括号,等号右边没有括号,从等号左边到右边的过程,实际上就是

去括号。我们一起归纳得到了去括号法则: 括号前是“+”,把括号和它

前面的“+”都去掉,括号里各项都不变号。括号前是“-”,把括号和它

前面的“-”都去掉,括号里各项符号都要改变。

巩固提高

现在请大家趁热打铁,完成小小亮卖报的题目,找一位同学上黑板板演,

其他同学在练习本上完成。

- 0.4a +0.5b+0.2(a-b)=- 0.4a +0.5b+0.2a-0.2b=-0.2a+0.3b,

有疑问的同学可以同桌之间互相帮忙解决。

小结作业

这节课马上就要结束了,谁来说一说你有什么收获?你说学会了去括号

法则,能够用去括号法则化简多项式,你说体会到了学习数学的乐趣。

看来大家都收获颇丰。这节课的作业是完成课后练习题,学有余力的预

习下节课内容。

下课

同学们都记好了吗。好。

那么我们这节课就先上到这里。

下课同学们再见。

超优惠面试资料,添加老师微信!

微信扫描添加老师好友呢

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  1. CONNECT:[ UseTime:0.000739s ] mysql:host=127.0.0.1;port=3306;dbname=no_15386;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000787s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000311s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000271s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000563s ]
  6. SELECT * FROM `set` [ RunTime:0.000204s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000686s ]
  8. SELECT * FROM `article` WHERE `id` = 464396 LIMIT 1 [ RunTime:0.000405s ]
  9. UPDATE `article` SET `lasttime` = 1776061553 WHERE `id` = 464396 [ RunTime:0.003110s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.000224s ]
  11. SELECT * FROM `article` WHERE `id` < 464396 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000455s ]
  12. SELECT * FROM `article` WHERE `id` > 464396 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000414s ]
  13. SELECT * FROM `article` WHERE `id` < 464396 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.000990s ]
  14. SELECT * FROM `article` WHERE `id` < 464396 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.001188s ]
  15. SELECT * FROM `article` WHERE `id` < 464396 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.000797s ]
0.159808s