仁爱八年级英语下册Unit7topic2导学案
一读1a, 完成1b
二．在文中找到，划出并背诵下面的短语和句子
1. 做炒米饭_____________________
2. 尽力去帮助他人___________________
3. 对…感到自豪____________________4．你真是太好了！_____________________
5. 精细地把肉切成片__________________
6. 干得好！______________________
7. 把肉稍微炒炒____________________8．慢慢地把米加进去___________________
9. 把…炒几分钟____________________10. 烧些开水_______________________
11. 熬骨汤_____________________12. 把火腿切碎___________________
13. 把面条煮3到5分钟_________________15. 把这些图片排好顺序________________
14. 在碗里装满七八成的骨头汤_______________________
16. 对做饭感到厌倦___________________17. …的优点_______________________
18. 西/中式快餐店____________________19. (未来)几分钟后____________________
三、句型解释
点拨：I’m not sure whether(是否) + 宾语从句肯定句转换：I’m sure _______ I can cook it well.拓展：whether还可以换为if (是否) 但有区别whether 后面可跟or not , 而if 则不可以
练习：a. 我不知道他是否会邀请我参加他们的美食节。
I don’t know _____________ he will _________ me ______ their food festival.
I don’t know _____________ he will _________ me ______ their food festival or not.
b. 我不确信她是否随后会给你发电子邮件。
I’m not sure ____________ she will _______ you an e-mail later on.
I’m not sure ____________she will _______ you an e-mail ______ ______ later on.
2. I’m glad that you are trying to help others. 译：
点拨：be glad + (that) + 宾语从句---为某事高兴…；be glad to do sth.. 乐意做某事
链接：be afraid that+宾语从句--- be afraid to do sth.---
be sure that + 宾语从句--- be sure to do sth.---
3. It’s very kind of you . 同义句：You are very ________. 点拨：kind---善良，友好
回忆: It’s + adj.+ of sb. to do sth. 句中的形式主语是________ 逻辑主语是________ 真正主语是___________
练习：a. 告诉我那个消息你真是太好了。It’s very ______ _____ you _____ ______ ____ the news.
b. 他们杀死那些动物真是太残忍了。It’s very ________ _____ them ______ ____ the animals.拓展：kind还可以用作名词，意思是_________ --- a kind of____________ all kinds of______________ 4. First, cut some cooked meat very finely. 译：
点拨：cooked meat---煮熟的肉--- cooked在此是过去分词(相当于形容词)作定语
链接：fried rice___________ fried chicken__________boiled water____________ boiled eggs____________
思考：你发现过去分词(相当于形容词)作定语有什么特点了吗？
5. 读2a找出表示先后顺序的词
首先_________其次__________再次__________然后__________之后_______________最后__________
练习：完成2b
6. Cut up ham, cabbage and green onions finely. 译：
点拨：cut up… 把…切碎注意: 如果cut的宾语是代词要放在________ 点拨:up在此意思是---彻底，完全地
链接：eat up_________ use up__________ burn up__________ clean up__________
7. Fill the bowl 70%-80% full with bone soup.译：
点拨：fill… with … ---用…把…装满fill 的词性是_______, 词义是________
链接：be full of … ---充满… full 的词性是_______, 词义是________
练习：a. 请把瓶子装满水。Please ________ the bottle _________ water.
b. 不要在碗里盛太满的汤。________ ________ the bowl _______ too _______soup.
c. 屋里满是人。The room ______ _______ ____ people.
8. People go to restaurants because they’re tired of cooking. 译：
____________________________________________
点拨：be tired of sth./doing sth.---对…感到厌烦反义词组：________________________
练习：a. 他对每天干同样的事情感到厌烦。
b. Tom对越来越难的俄语感到厌烦。
四．语法重点--- 副词本课出现了很多修饰动作的副词，读1a找出下面副词所修饰的动词
_______well ________carefully _________________finely ______________lightly ____________slowly
总结：英语中副词修饰动词要后置
练习：唱得好/好好地唱______________ 仔细听/听得仔细___________________ 大声说____________________
二部分
一．在文中找到下面副词的比较级和最高级
1.well_______/________
2.early________/________
3. hard_______/________
4. late_______/________ 二．在文中找到，划出并背诵下面的短语
1. 做炒米饭_____________________
2. 尽力去帮助他人__________________
3. 对…感到自豪_________________4．你真是太好了！_______________________
5. 精细地把肉切成片________________
6. 干得好！_________________
7. 把肉稍微炒炒______________8．慢慢地把米加进去________________
9. 把…炒几分钟____________________10. 烧些开水_____________________
11. 熬骨汤_______________________12. 把火腿切碎___________________
13. 把面条煮3到5分钟______________________14 对做饭感到厌倦________________
15 …的优点________________________16 (未来)几分钟后____________________
三．在文中划出下面的句子并翻译
1. First, take two pieces of bread and spread butter on them. 译：
点拨：a piece of … --- 一片/张/块/条/则…, 后面常跟不可数名词
拓展：a piece of paper______________ a piece of glass_______________ a piece of
furniture____________________
a piece of music______________ a piece of advice______________ a piece of
information_________________
练习：a. 我有三条消息要告诉你。I have ________ __________ ______ __________ to tell you.
b. 两块冰足够了。________ ____________ ____ ________ are enough.
2. Would you mind if we learn to make it from you? 译：
思考：句中Would you mind if 后面是___________从句
链接：Would you mind (not) doing sth. __________________ Would you mind sb./sb.’s doing sth.
_________________
注意：对Would you mind…? 表示同意的回答，用No, not at all. 或Of course not.或Certainly not…
表示反对的回答，用Yes, you’d better not…
练习：a. 我打开门你介意吗？Would you _______ ____ I open the door?
= Would you _______ ____ opening the door?
b. 打开电视你介意吗？Would you _______ _________ ______ the TV?
c. 别在这吸烟你介意吗？当然不。Would you _______ _________ smoking here? ___ ________
____.
3.Michael did best of all. 译：
点拨：of all --- 在所有的当中(数量大于等于3的范围)，常用于最高级的句子中
此句中，修饰动词did的best前面省略了_______, 这种情况只有在_____词的最高级前可以出现
练习：a. 在所有的学生当中，他是最高的。_____ _____ the students, he is _______ _________.
b. 在所有的孩子当中，她跳得最高。She jumps ________ ____ _____ the children.
c. 在所有的运动员当中，他跑得最快。He runs __________ _____ _______ the athletes.
4. Practice makes perfect. 译：____________________________ --- 谚语
扩展: a. A good beginning makes a good ending.
b.To see is to believe.
c.Actions speak louder than words.
d.A little pot is soon hot.
e.A friend in need is a friend indeed (真正的).
5. Help yourself to some soup. 译：____________________________
词
oneself
扩展: teach oneself__________ learn by oneself__________ enjoy oneself___________ say to
oneself______________
6.I don’t know if it’s polite in Japan. 译：
点拨：此句中是if引导的是________从句肯定句转换：I know _______ it’s polite in Japan.
7. We know people use a spoon and a fork to eat in Thailand. 译：
I know Indians eat with their right hands. 译：
总结：use工具to do sth. / do sth. with工具--- 用…做…
练习：a.他刚才用刀把梨切成了两半。He _______ a knife ______ _______ the pear_______ two_________.
b.我们用眼睛看，用耳朵听。We _______ _______our ________ and listen________ our__________.
扩展: 介词in / by / with 都有“用，借助”的意思
练习：a. What’s this _____ English? 译：___________________________________________
b. He goes to school ______ bus. 译：___________________________________________
c. I have no pen to write ______. 译：___________________________________________
8. I don’t know if there’s no need for knives, forks or chopsticks. 译：
点拨：there’s no need for…---不需要,没必要… need在此作______词
练习：a.在这个国家是不需要警察的。________________________________________________ in the country.
b.There is no need for you to be worried. 译：
总结：need还可以用作情态动词和行为动词
a.---Must I finish my homework today? ---No, you _________.译：________________________________
b.你需要在锅里放些油.You_______ _______ put some oil in the pan.
一．读1a , 完成1b.
二．在文中找到，划出并背诵下面的短语
1. 第一次____________________
2. 了解___________________
3. 西方的餐桌礼仪_____________________
4. 在桌旁______________________
5. 以…开始____________________
6. 吃光，吃完__________________
7. 大声的说话____________________ 8. 为某人/某事干杯____________________
9. 喝一小口______________________ 10．记得不要喝太多___________________
11．跟着别人做_______________________12. 就餐_____________________
13．谈论__________________ 14. 在右边________________________
15. 用汤匙喝汤，吃甜点______________________
16．用筷子指人________________________
17. 用左手吃__________________________________
18. 完成做某事________________________________
19. 吃中餐_____________________________
三．在文中划出下面的句子并翻译
1. If you go to a formal western dinner party for the first time, you’d better know about western table manners.
译：
点拨：for 表时间，for the first time “第一次”，在句中作状语
链接：第二次______________ 最后一次_______________
拓展：某人第一次做某事It’s sb’s first time to do sth.= It’s the first time for（对于）sb. to do sth.
sb’s first time 在此句型中做表语
练习：这是我第一次参观长城。a. It’s _____ _______ _______ to visit the Great Wall.
b. It’s _____ _______ _______ for _____to visit the Great Wall.
c. I visit the Great Wall _____ _____ _______ _______.
2. When you sit down at the table, take your napkin and put it on your lap.
译：
点拨：1）at the table 在桌旁，at table 就餐。类似的词组还有：in the hospital 在医院里in hospital 住院
2) … put it on your lap. put …on 意思是_____________
链接：a. 课本19页句子We can put on a short play . put on 意思是__________
b. It’s cold outside. You’d better put on your coat. put on 意思是__________
put 过去式________; 过去分词____________; 现在分词________________.
3. It’s polite to eat up the food on your p late.译：
点拨：eat up 吃光，吃完。拓展：用光，用完_______________ 喝光，喝完__________________ 练习：a. 汤姆昨天吃完了冰箱里的所有食物。Tom ________ _____ _____ the ______ in the fridge.
b. 这蛋糕闻起来真美味。我想把它吃完。The cake ________ ____________. I want to ____ ___ _____.
4. The answer is that you should speak quietly and smile a lot. 译：
点拨：句子充当表语，称之为表语从句。表语从句同宾语从句一样，用陈述句语序。表语从句有两种：
1）由that 引导，that 无实义，可省略。2）由连接代词（what等）或连接副词（when等）引导。
练习：a. 我的想法是我们应该一起练习说英语。My thought is _____ we should _______ ________ English together.
b. 我们的问题是如何能给丹尼尔筹钱。Our problem is _______ _____ _____ raise money ______ Daniel.
5. Remember not to drink too much.译：
点拨：1) remember to do sth 记得要做某事；remember doing sth 记得已经做了某事2）drink too much “喝得太多”，drink 动词___________; 名词___________
too much “太多的”，修饰不可数名词；too many “太多的”，修饰可数名词复数；
much too “太”, 修饰形容词或副词。
练习：a.记得明天早上要早起。
b.当你离开的时候记得关窗户。
c.他不记得锁过门了。He can’t remember ____________ the door.
d. 我不能吃太多。我饱了。I can’t _______ ______ ________ . I’m _______.
e. 这儿有太多的噪音。别呆在这儿。There is _____ ______ ______ here. Don’t _______ here..
f. 这儿的书太多了。把他收起来。There are _____ ______ ______ here. _____ them _______.
g. 这面包太大了。我吃不完。The bread is ______ ______ ______. I can’t ______ ___ _____.
6. If you can’t remember these rules, just do as other people do.译：
点拨：as 连词“像…一样；依照，按照”; 介词“作为”
练习：a. 我想向你一样出国。I’d like to go abroad _____ ______ _______.
b. As the Americans like baseball, the British like soccer.译：_____________________
c. 请试着跟我发这个词的音。Please try to pronounce the word ____ ___ ____.
d. 作为一名作家，鲁迅很出名。Lu Xun _____ _____________ _____ a writer.
7. People use the spoons for soup and dessert.译：
点拨：use sth. for (doing) sth. / use sth. to do sth. 使用…做某事
used to do sth. 过去常常做某事
练习：a. 人们用木材造纸。People _______ wood _______ _______ paper.
b. 汤姆过去常弹钢琴。Tom _______ ____ play the piano.
c. 他过去总起床很晚吗？_______ he ______ _______ get up late?
一．熟记并掌握下列单词及词性
1. course _____词_________; ___________
2. southern ______词_________, __________ 二．在文中找到，划出并背诵下面的短语
1. 1. 世界各地的人们_________________
3. 两道或更多的菜______________________
5．远离某地_________________
2. 饮食习惯_____________________
4. 在中国的南部____________________
6. 抓取食物____________________
三．在文中划出下面的句子并翻译
1.There are two or more courses for every meal and people use knives and forks to eat.
译：
点拨：course 名词_______; __________
练习：a. 桌上有八道菜。There are 8 __________ on the table.
b. 我现在有九门课程要学。I have 9 ________ ____ _______.
c. People use knives and forks to eat.（同义句）People use knives and forks _____ _______.
2. In the southern part of China, people eat rice a lot. 译：_________________________________________________
点拨：south 名词“南部，南方”；southern 形容词“南部的，南方的”
“北部，北方”____________; “北部的，北方的”_______________
“东部，东方”___________; “东部的，东方的”______________
“西部，西方”___________; “西部的，西方的” ______________
“中部，中心”____________; “中部的，中心的”______________
3. In parts of India, people use their fingers and bread to pick up the food.
译：
点拨：pick up 1) 拿起；拾起2）用车接3）（偶然的）得到4）接收，收听（广播）
练习：a. I picked up a coin in the road. _
. Pick up the phone , please.
c. Shall I ___________ ____________ _____________ at the station? (接你)
d. My radio can ___________ _____________ (收听)BBC news.
e. He ___________ ______________(得到) the book in a lonely bookstore.
练习：请把下列的句子两句合为一句：
1. Did she finish reading the book? I want to know
2. Does she like English? Do you know
3. Does she pass the exam.？Her mother wants to know
4. Can he go swimming? I wonder
5. Can he come back? We are not sure
6. Will they go on a picnic? I wonder
四．语法重点副词的比较级及最高级
请大家复习八（上）形容词的比较级及最高级，并预习本册120-121页副词的比较级及最高级语法部分。
练习：完成1c.
完成下列句子：
a. 汤姆跑的和杰克一样快。彼得跑的最快。
Tom runs ___ ______ ___ Jack. Peter runs _________ of all.
b. 朱迪舞跳得比我好。玛丽是所有的女孩中跳舞跳得最好的。
Judy dances ________ than me. Mary dances ________ of all the girls.
c. 他打篮球比你棒的多。He plays basketball _______ _______ than you.
d. 雪下得越来越大。It is snowing ________ _____ ______ ____________.
e. 他说话声音没有别的任何人大。He speaks _______ _______ than ______________ ______.
仁爱英语八年级下U5T3导学案
导学案Unit5 Topic3审核人：编写人： 班级：姓名： Unit5 Topic3 Section A 一、目标导航【明确目标，把握方向】 1.学习描述感觉的句子； 2.继续学习表达对他人关心和建议的句子； 3.学习简单句的六种基本句型。 二、自主预习【课前预习，探索新知】 Ⅰ、读1a，回答1b的问题。 Ⅱ、读1a，完成1c的填空。 Ⅲ、在文中找到，划出并背诵下面的短语 1. have a test 2. get nervous 3. 做演讲 IV、在文中划出下面的句子并翻译 1．This is Michael speaking. 译：_______________________. 注意:英语中的电话用语是比较特殊的，请用电话用语翻译下面的句子 a.你是谁？________________ b.我是Nick。__________________ c.请等一下。 ____________________ d.我能留个口信儿吗？___________________ e.我能捎口信儿吗？_______________________ 2.Is there anything wrong? 译：_______________________. 可省略为：? 同义句：What's wrong? / What's the matter? /What's the problem? 3.I feel more relaxed now because of your help. 译： 回忆：because和because of 的区别 后接从句；后跟名词，代词，或名词短语。 填空： a. Wang Mings feels unhappy he failed the Chinese exam. b. Mr. Lee was very excited the ticket to the movie. 语法重点简单句的六种基本句型、V1.S +V+P(主语+系动词+表语) You look excited. S V P 注：常见的系动词有 分析：Tom's father sounded worried. 其中主语是：；系动词是：；
八年级英语导学案答案
Module 1 Unit 1 Step 7 1. 1)advice 2)mistakes 3)pronounce 4)messages 5)grammar 6)correct 7)understand 2. A:1) welcome back 2) make a mistake 3) practice doing sth. 4) try to do sth. 5）as … as possible 6) write down 7) what about /how abou t 8) agree with B: 1）It’s a good idea to spell and pronounce new words aloud every day. 2) Let’s try to speak as much as possible. 3）Don’t forget to write down the correct answers next to the mistakes. 4) why don’t we try to find some English pe n friends. Unit 2 Step 4 1.1)improve 2)meaning 3)conversation 4)remembering 5) shy 6)possible 2. 1)speak 2)write 3) to check 4) listening 5) not to translate 6) speaking 7)quickly 3.1) ask for advice 2)three basic questions 3)advise somebody to do something 4）start a conversation 5）be afraid to do 6）the meaning of the new words 7）smile at somebody 8)something new 9)write down 10)a teacher from the US 4.1) Many students ask for advice about how to improve their English. 2) Watching films and listening to songs are great ways to learn English. 3)I also advise you to talk about the films or songs with your friends. 4) These are good ways to start a conversation. 5) It is natural to forget new words! Unit3 一.1-5 CBACB 6-10 CCADC 11-15 BBAAC 二. 1-5 ABCCD 6-10ABCAD 三.A) 1-4 DBDD B) 5-9 BADC B 四.A)略B)1. vocabulary 2.mistakes 3.meaning 4.conversation 5. quickly 6.correct 五.1.to watch 2.watching，listening 3.to learn 4.to remember 5.going 6. to finish 六.A: 1) welcome back 2)make a mistake 3) be afraid to do sth. 4)something new 5)some advice 6) ask for advice 7)advise sb to do sth. 8）agree with sb B: 1) It’s a good idea to spell and pronounce new words aloud every day. 2) Don’t forget to write dow n the correct answers next to the mistakes. 3) why don’t we try to find some English pen friends. 4) Many students ask for advice about how to improve their English. 七. 范文 I’m glad to share my ideas on how to learn English well with you. I think we sho uld often listen to the radio in English films. When we are free, why not learn to sing more English songs？It’s good for our listening and speaking. When we are having English class, we
人教版八年级数学下册导学案全册
第十七章反比例函数 课题 17.1.1 反比例函数的意义课时：一课时【学习目标】 1.理解并掌握反比例函数的概念。 2.会判断一个给定函数是否为反比例函数。 3.会根据已知条件用待定系数法求反比例函数的解析式。 【重点难点】 重点：理解反比例函数的意义，确定反比例函数的表达式。 难点：反比例函数的意义。
【导学指导】 复习旧知: 1.什么是常量？什么是变量？函数是如何定义的？ 2.我们学过哪几种函数？每一种函数形式怎样？ 3.写出下列问题中的函数关系式并说明是什么函数.
（1）梯形的上底长是2，下底长是4，一腰长是6，则梯形的周长y与另一腰长x之间的函数关系式。（2）某种文具单价为3元，当购买m个这种文具时，共花了y元，则y与m的关系式。 学习新知：阅读教材P39-P40相关容，思考，讨论，合作交流完成下列问题。 1.什么是反比例函数？反比例函数的自变量可以取一切实数吗？为什么？
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【要点归纳】 通过今天的学习，你有哪些收获？与同伴交流一下。
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2013年人教版八年级英语(下册)导学案 【课题】 Unit1 section A 1a-2c ( 1课时) 【学习目标】 学会用将来时态预言。 【重点、难点】 1.will 构成的一般将来时态的陈述句、否定句、疑问句及回答。 2. There be 句型的一般将来时。 【导学指导】 温故知新小组讨论设想未来世界的变化。 运用be going to谈论将来的计划和打算。 自主互助学习 知识剖析： 一般将来时态 构成: will / be going to +动词原形 1.用be going to do表示将来：主要意义，一是表示“意图”，即打算在最近的将来或将来进行某事。 Are you going to post that letter? I am going to book a ticket. 另一意义是表示“预见”，即现在已有迹象表明将要发生或即将发生某种情况。 It’s going to rain. 2.用will/ shall do表示将来： You will feel better after taking this medicine. 助动词will+动词原形 I will not lend the book to you. 变否定句直接在will后加not She will come to have class tomorrow. Will she come to have class tomorrow? 变一般疑问句，直接把will提到句首。 Yes,she will/ No.she won’t . 3. fewer 与less及more表数量的用法。 1）few（形容词）“几乎没有，很少的”，修饰可数名词。其比较级、最高级为规则变化：few－fewer－fewe st“a few”表示“一些”“few”带否定含义，“几乎没有”。 2）little（形容词）“很少的，几乎没有的”（“小的，幼小的”），修饰不可数名词。其比较级、最高级为不规则变化：little－less－least。例：There will be less pollution. “a little”表“一些”，“little”带否定含义，“几乎没有”。 3）many“许多”，修饰可数名词。much“许多”，修饰不可数名词。 比较级、最高级为不规则变化：many / much －more－most。 重点难点释义: 1. In ten years 十年后 In+一段时间：…..之后 in 5 months :5个月后 in 3 years: 3年后 in a week: 一周后 I′ll be a reporter in ten years.十年后我会是一个记者 学习过程： 1.小组看图1a，完成下列对话。 A: Will people have ________ in their homes? B: Yes, ________ ________. I think every home will have one. 2. 小组合作讨论预测未来世界的变化完成1a 。 3. 小组合作训练 1）will 构成的一般将来时态的陈述句、否定句、疑问句及回答。 2）There be 句型的一般将来时。 4. 听力技能提高。 1）听录音完成1b 。 2）听前预测2a/2b 。 3) 听录音完成2a/2b 。 5.综合运用能力提高。 小组合作运用将来时的句型对未来作出预测。完成1c/2c 。 【课堂练习】 一、根据汉语意思，完成句子。一空一词。 1. 书籍将会仅仅在电脑，而不在纸上。
最新仁爱英语八年级下册导学案
最新仁爱英语八年级下册单元导学案 Topic 1 I have some exciting news to tell you. 一、词的形式 decide(名词)_____________ raise(过去式)____________ discuss(现在分词)____________ cinema(复数)_______________ dollar(复数) _________________ sell(过去式)________________ queen(对应词)______________ Canada(形容词)_____________ condition(复数)____________ comfortable(动词)___________ greet(名词)__________ safe(副词)____________ 二、重点词组及短语 1. find out 2. start out 3.air conditioning 4.go on a trip to 5.make a decision 6.decide on 7. over the phone 8..go on a spring field trip 9. go on a three-day visit to 10.railway station 11.train station 12. hard sleeper 13. soft sleeper 14. field trip 15. pay for 16. book tickets 17.departure time 18.arrival time 19.total price 20. per ticket 21. a standard room with two single beds . 22. two rooms without a bathroom or air conditioning 23. one-way ticket 24. round-trip ticket https://www.360docs.net/doc/de426815.html,e up with 26.work out 27. put on a show 28.borrow…from… 29. l end…to..30. as soon as 31. hear from 32.look forward to (doing) sth 33. raise money 34.tell sb. not to do sth.
华师大版八年级数学下册导学案
第17章 分式 §17.1.1 分式的概念 导学目标： 1、经历实际问题的解决过程，从中认识分式，并能概括分式 2、使学生能正确地判断一个代数式是否是分式 3、能通过回忆分数的意义，类比地探索分式的意义及分式的值如某一特定情况的条件，渗透数学中的类比，分类等数学思想。 导学重点： 探索分式的意义及分式的值为某一特定情况的条件。 导学难点： 能通过回忆分数的意义，探索分式的意义。 导学过程： 一、做一做 （1）面积为2平方米的长方形一边长3米，则它的另一边长为_____米； （2）面积为S 平方米的长方形一边长a 米，则它的另一边长为________米； （3）一箱苹果售价p 元，总重m 千克，箱重n 千克，则每千克苹果的售价是___元； 二、概括： 形如B A (A 、B 是整式，且B 中含有字母，B ≠0)的式子，叫做分式.其中 A 叫做分 式的分子,B 叫做分式的分母. 整式和分式统称有理式, 即有理式 整式， 分式. 三、例题： 例1 下列各有理式中，哪些是整式？哪些是分式？ （1） x 1； （2）2x ； （3）y x xy +2； （4）33y x -. 解：属于整式的有：（2）、（4）；属于分式的有：（1）、（3）. 注意：在分式中，分母的值不能是零.如果分母的值是零，则分式没有意义.例如，在分式a S 中，a ≠0；在分式n m -9 中，m ≠n. 例2 当x 取什么值时，下列分式有意义？ （1）11－x ； （2）3 22 +-x x . 分析 要使分式有意义，必须且只须分母不等于零. 解 （1）分母1－x ≠0，即x ≠1. 所以，当x ≠1时，分式1 1 －x 有意义. （2）分母23+x ≠0，即x ≠-2 3 . 所以，当x ≠-23时，分式3 22 +-x x 有意义. 四、练习： P5习题17.1第3题（1）（3）