《对数的概念3》巩固练习

第一篇：《对数的概念3》巩固练习

涟水中学高一级部数学学科教学案（编号：024）

《对数的概念3》巩固练习

班级_________姓名_________等第_________日期_________

一、填空题

1、(lg2)2(lg5)22lg2lg5的值为

2、log281log216log220log230______________ 33333、①log148log13____________ ②lg222512lg48_____________

4、①2112log52=_________________ ② log2[log2(log381)]=_________________

lg12lg155、已知lg2a,lg3b，则

二、解答题

等于_________________

6、（1）若lg20.3010,lg30.4771,求lg

45;

b（2）已知log189a,185,试用a、b表示log365

7、已知 2x43y12,求63x2y的值

《对数函数1》预习材料和课堂笔记

涟水中学高一级部数学学科教学案（编号：024）第1页 【知识点分解与课堂探究】

一、课前预习

1、对数函数的概念：

2、对数函数的图象和性质：

例题

1、求下列函数的定义域：

(1)ylog0.2(4x)(2)ylogax1(a0,a1)

(3)y1log9(3x6)(4)ylog(x1)(3x)

例题

2、利用对数函数的性质，比较下列各组数中两个数的大小：

(1)log23.4 log23.8(2)log0.51.8 log0.52.1

(3)log75 log67(4)log25.1 log15.9 2

例题

3、（1）不等式lg(43x)1的解集为。

（2）不等式loga231的解集为。

例题

4、求下列函数的值域：

2xlog3x 1ylog1(x24)2ylog3(x9)3ylog32

二、随堂练习

1、解下列方程

152x12(2)lg(3x1)2

2、求函数的f(x)log1(x6x17)值域。

22涟水中学高一级部数学学科教学案（编号：024）第2页

第二篇：对数的概念教学反思

对数的概念教学反思

正确理解对数定义中底数的限制，为以后对数函数定义域的确定作准备。同时注意对数的书写，避免因书写不规范而产生的错误。本教学设计先由引例出发，创设情境，激发学生对对数的兴趣；在讲授新课部分，通过结合多媒体教学以及一系列的课堂探究活动，加深学生对对数的认识；最后通过课堂练习来巩固学生对对数的掌握。

第三篇：高一数学教案：对数的概念1

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课

题：2.3.1 对数-对数的概念

教学目的：1．理解对数的概念，能够进行对数式与指数式的互化；

2．渗透应用意识，培养归纳思维能力和逻辑推理能力，提高数学发现能力。

教学重点：对数的概念

教学难点：对数概念的理解.授课类型：新授课 课时安排：1课时

教 具：多媒体、背投

教材分析：17世纪初，为了解决很多位数的数字繁杂的计算而产生了对数。现在用对数进行大数的计算已被新的运算工具所取代，因此中学对于传统的对数内容进行了大量的删减。但对数函数应用还是广泛的，后续的教学内容也经常用到。

本节讲对数的定义和运算性质的目的主要是为了学习对数函数。对数概念与指数概念有关，是在指数概念的基础上定义的，在一般对数定义logaN(a0,a1)之后，给出两个特殊的对数：一个是当底数a10时，称为常用对数，简记作lgNb；另一个是底数ae(一个无理数)时，称为自然对数，简记作lnNb。这样既为学生以后学习或读有关的科技书给出了初步知识，也使教材大大简化，只保留到学习对数函数知识够用即可。教学过程：

一、复习引入：

在第2．2．2节的例4中，我们研究了一种放射性物质不断变化为其他物质的过程，设该物质最初的质量是1，则经过x年，该物质的剩留量y0.84，由此，知道了经过的时间x，就能求出的该物质的剩留量y；反过来，知道了该物质的剩留量y，怎样求出所经过的时间x呢？

●特别地，经过多少年这种物质的剩留量为原来的一半？

二、新授内容：

上述问题也就是求满足0.840.5中的x，此时问题就转化为已知底数和幂的值求指数。定义：一般地，如果 aa0,a1的b次幂等于N, 即 aN，那么就称b是以a为

bxx底 N的对数，记作 logaNb，其中a叫做对数的底数，N叫做真数。

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b由对数的定义可知，aN与blogaN两个等式所表示的是a,b,N三个量之间的11同一关系。例如：39log392；log42422

22根据对数的定义可知，要解决本节开头提出的问题，就只要计算log0.840.5的值。●对数式logaN的理解

⑴是一种运算：已知底a和幂N求指数的运算，即求关于x的方程aN的解 ⑵是一个记号：用和幂N表示对应的指数的记号，是指数式aN的另一种等价表示形式logaNx

●⑴底a的要求大于零不为1。

⑵负数与零没有对数（∵在指数式中N0）⑶loga10，logaa1

∵对任意 a0且 a1, 都有 a1 ∴loga10 同样易知： logaa1

三、讲解范例：

例1．将下列指数式改写成对数式：

⑴216； ⑵3a4xx03b1； 27⑶520； ⑷()0.45 解：⑴log2164 ⑵log3273

⑶log520a ⑷log10.45b

212例2．将下列对数式改写成指数式：

⑴log51253； ⑵log1332； ⑶log10a1.699

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解：⑴53125 ⑵(12)3 ⑶101.699a 3●常用对数：我们通常将以10为底的对数叫做常用对数。为了简便, N的常用对数log10N简记作lgNb。如log10a1.699简记作lga1.699

自然对数：在科学技术中常常使用以无理数e2.71828……为底的对数，以e为底的对数叫自然对数，为了简便，N的自然对数logeN简记作lnNb。例如：loge3简记作ln3；loge10简记作ln10

例3．求下列各式的值：

⑴log264； ⑵log927 解：⑴由264，得log2646

⑵设xlog927，则 927,，即3例4．求下列各式中的x

⑴log8xx62x33, 得x33，所以log927 222⑵logx27 34⑶log2(log3x)1 ⑷log5(lnx)0

例5．证明对数恒等式：alogaNN

logaNb●如果把 aN 中的 b写成 logaN, 则有 aN

四、练习：

五、小结 本节课学习了以下内容：

⑴对数的定义，⑵指数式与对数式互换 ⑶求对数式的值

六、课后作业：

七、板书设计（略）

八、课后记：

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第四篇：名词性从句巩固练习3（精选）

名词性从句巩固练习

1．____he does has nothing to do with me.A.whateverB.No matter whatC.ThatD.If

2.The manager came over and asked the customer how____

A.did the quarrel came aboutB.the quarrel had come about

C.has the quarrel come aboutD.had the quarrel come about

3.Energy is ____makes thingwork..A.whatB.somethingC.anythingD.that

4.Information has been putforward ____ more middle school graduates will be admitted into

universities.A.whileB.thatC.whenD.as

5.This is ___the shenzhou V Spaceship landed.A.thereB.in whichC.whereD.when

6.They have no idea at all____.A.where he has goneB.where did he go

C.which place has he goneD.where has he gone

7.The doctor did a lot to reduce the patient’s fear ____he would die of the disease.A.thatB.whichC.of whichD.of that

8.The order came ___the soldiers ____the small village the next morning.A.that;had to leaveB.that;should leave

C./;must leaveD.when;should leave

9.___is no possibility ____Bob can win the first prize in the match.A.There;thatB.It;thatC.there;whetherD.It;whether

10.The question came up at the meeting_____ we had enough money for our research.A.thatB.whichC.whetherD.if

11.Is _____he said really true?

A.thatB.whatC.whyD.whether

12.____the meeting should last two days or three days doesn’t matter.A.ThatB.WhetherC.IfD.Where

13.It worried her a bit _____her hair was turning gray.A.whileB.ifC.thatD.for

14._____more countries can use natural energy in the future remains to be seen.A.WhetherB.ThisC.whoD.If

15.____he will go to work in a mountain village surprises all of us.A.WhatB.ThatC.WhetherD.If

16.____you don’t like him is none of my business.A.WhatB.ThatC.WhoD.How

17.____all the inventions have in common is ____they have succeeded.A.What;whatB.That;thatC.what;thatD.That;what

18.____appeared to me that he enjoyed the food very much.A.WhatB.ItC.All thatD.That

19.It is widely ______that smoking can cause cancer.A.believedB.thinkC.sayD.hoped

20.____caused the accident is still a complete mystery.A.WhatB.ThatC.HowD.Where

21.____he always serves the people very well is known.A.WhatB.ThatC.WhichD.Who

22.____has passed the test will get a prize.A.WhoeverB.No mater whoC.WhomeverD.Who

23.Is____ true that the famous scientist will give us a lecture next week?

A thatB itC hisD he

24.It has not been decided ___ they will leave for New York.A.whenB whyC thatD what

25.Obviously___ we do morning exercises every day ___ us good.A.that doB.if;doC what;doesD.that;doseIt is said____ ____ was all ___ he said.A that;that;thatB what;what;whatC that;which;whatD that;that;which

27___ gets home first is to cook the supper.A.WhoB WhomC.Those whoD.Whoever

28___ moved us most was___ he looked after the old man for more than twenty years.A.That;thatB.What;thatC What;whatD.That;what

29.___ you did it is not known to all.A.WhoB.WhatC.HowD.Which

30.___ you do should be well done.A HowB.ThatC.WhateverD Why

31.The reason I plan to go is___ she will be disappointed if I don’t.A.becauseB.thatC.thanks toD.what

32.What time do you think__?

A.will Tom come backB.Tom will come backC.is Tom coming backD.can Tom get here

33.The teacher said that light___ faster than sound.A.Has traveledB.traveledC.had traveledD.travels

34..___ is still a question___ will win.A.It;thatB.It;whoC.That;whoD.This;that

35.If you know___ it was that wrote A Tale of Two Cities, raise your hand.A.whomB.whichC.whoD.that

36.In some countries,___ are called “public schools” are not owned by the state.A.thatB.whichC.asD.what

37.Thinking___ you know___ in fact you don’t is a terrible mistake.A.that;thatB.what;whatC.that;whatD.what that

38.Whether ways will be found to stop pollution or not is just___ worries the public.A.whyB.whichC.thatD.what

39.Why don’t you bring___ to his attention that you are too busy to do it?

A.thatB.whatC.thatD.it

40.___ David says sounds right to Helen.That’s why she has made up her mind to live with him___ happens.A.whatever;whateverB.No matter what;whatever

C.No matter what;No matter whatD.Whatever;however

41.That is___ I was born and grew up.A.ThereB.in whichC.whereD.the place

42.___ she was invited to the ball made her very happy.A.WhatB.ThatC.WhenD.Because

43.___ we are doing has never been done before.A.ThatB.WhatC.WhichD.Whether

44.---Have you found your book yet?---No, I’m not sure___ I could have left it.A.whetherB.whereC.whenD.why

45.The doctor couldn’t answer the question___ the patient could survive that night.A.ifB.thatC.whetherD.what

46.I firmly believe___ he said at the meeting was right.A.thatB.whichC.that whatD.what that

47.---What were you trying to prove to the police?---___ I was last night.A.ThatB.WhenC.WhereD.What

48.I think, though I could be mistaken, __ he liked me.A.whoB.whichC.thatD.what

49.At the meeting, we discussed___ we should employ more workers.A.ifB.whetherC.thatD./

50.After___ seemed like hours he came out with a bitter smile.A.whichB.itC.whatD.that

答案1—5 ABABC6—10 AABAC11—15 BBCAB16—20 BCBAA21—25 BABAD

26—30 ADBCC 31—35 BBDBC36—40 DCDDA41—45 CBBBC46—50 CCCBC

1.The doctor did a lot to reduce the patient’s fear ____he would die of the disease.A.thatB.whichC.of whichD.of that

2.The idea ___ we should have more industry in this area is a good one.A.thatB.whichC.whatD.how

3.The suggestion ____we have a group of these records printed as soon as possible was accepted

by the committee.A.howB.whichC.thatD.what

4.He told me the news ____ the Queen would visit China the next month.A.thatB.whichC.itD.whether

5.The fact troubles me much ___ I have been unable to pass the driving test up to now.A.whichB.becauseC.whyD.that

6.The mother didn’t know to blame for the broken glass as it happened while she was out.A.who

B.whenC.howD.what（NMF, T 2002）

7.―I think it’s going to be a big problem.―Yes, it could be.―I wonderwe can do about it.（NMET 02）A.ifB.howC.whatD.that

8.When you answer questions in a job interview, please remember the golden rule: Always give the monkey exactlyhe wants.（上海2002春）

A.whatB.whichC.whenD.that

9.Jack said to meet the American friends.A.he is pleaseB.what he was pleasedC.that he was pleasedD.which he pleased

10.fewer and fewer students showed interest in her lessons.A.What;whyB.That;whatC.What;becauseD.Why;that：

11.He often writes to us expressing his thought _____ one day he’ll come to join us.A.whichB.thatC.whatD.whether

12.He made a suggestion ____ the English test be put off until next Wednesday.A.whichB.whatC.thatD.whether

13.The news _____ the football team won the game made us happy.A.thatB.whichC.in whichD.what

14.The mere fact______ most people believe nuclear war would be madness does not mean thatit will not occur.A.whatB.whichC.thatD.why

15.―Do you really believe there is human race in outer space?

---So far there is no proof ____ people from other planets do exist.A.whichB.howC.whatD.that

16.---I drove to Zhuhai for the air show last week.---Is that you has a few days off?

A.whyB.whenC.whatD.where

17.has helped to save the drowning girl is worth praising.A.WhoB.The oneC.AnyoneD.Whoever

18.caused the accident is still a complete mystery.A.WhatB.ThatC.HowD.Where

答案：1.A A C A D6.A C A C A11.BCACD16.ADA

第一部分：基础题

1._______ makes his shop different is that it offers more personal services.A.WhatB.WhoC.WhateverD.Whoever

2.—It’s thirty years since we last met.—But I still remember the story, believe it or not, _______ we got lost on a rainy night.A.whichB.thatC.whatD.when

3.See the flags on top of the building? That was _______ we did this morning.A.whenB.whichC.whereD.What

4.—Could you do me a favor?—

A.whichB.whicheverC.whatD.whatever

5.These shoes look very good.I wonder _______.A.how much cost they areB.how much do they cost

C.how much they costD.how much are they cost

6.Doris' success lies in the fact _______ she is co-operative and eager to learn from others.A.whichB.thatC.whenD.why

7.Mary wrote an article on _______ the team had failed to win the game.A.whyB.whatC.whoD.that

8.Do you have any idea _______ is actually going on in the classroom?

A.thatB.whatC.asD.which

9.—Why does she always ask you for help?—There is no one else _______, is there?

A.who to turn toB.she can turn to C.for whom to turnD.for her to turn

10.Elephants have their own way to tell the shape of an object and ___ it is rough or smooth.A./B.whetherC.howD.what

11.Danny left word with my secretary _______ he would call again in the afternoon.A.whoB.thatC.asD.which

12.Mum is coming.What present _______ for your birthday?

A.you expect she has gotB.you expect has she got

C.do you expect she has gotD.do you expect has she got

13.The way he did it was different ________ we were used to.A.in whichB.in whatC.from whatD.from which

14.Great changes have taken place in that school.It is no longer _______ it was 20 years ago, _______ it

was so poorly equipped.A.what;whenB.that;whichC.what;whichD.which;that

15.Some researchers believe that there is no doubt ________ a cure for AIDS will be found.A.whichB.thatC.whatD.whether

第二部分：强化题

1.We haven’t settled the question of _______ it is necessary for him to study abroad.A.ifB.whereC.whetherD.that

2.A warm thought suddenly came to me _______I might use the pocket money to buy some flowers for my mother’s birthday.A.ifB.whenC.thatD.which

3.There is much chance _______ Bill will recover from his injury in time for the race.A.thatB.whichC.untilD.if

4.Please remind me _______ he said he was going.I may be in time to see him off.A.whereB.whenC.howD.what

5.We saw several natives advancing towards our party, and one of them came up to us._______ we

gave some bells and glasses.A.to whichB.to whomC.with whomD.with which

6.With his work completed, the businessman stepped back to his seat, feeling pleased _______ he was

a man of action.A.whichB.thatC.whatD.whether

A.No matter whatB.No matter whichC.WhateverD.Whichever

that makes him so excited.A.why it doesB.what he doesC.how it isD.what it is

9.___ is our belief that improvements in health care will lead to a stronger , more prosperouseconomy.A.AsB.ThatC.ThisD.It

10.Nobody believed his reason for being absent form the class ______ he had to meet his

uncle at the airport.A.whyB.thatC.whereD.because

11.The shopkeeper did not want to sell for _______ he thought was not enough.A.whereB.howC.whatD.which

12.He noticed that the straight part of the dance was different in the afternoon from _______ it had

been in the morning.A.thatB.whereC.whatD.which

13.I’d like to work with _______ is honest and easy to get on with.(2006年山东模拟题)

A.whoB.whoeverC.whomeverD.no matter who

14.When you are reading, make a note of _______ you think is of great importance.A.whichB.thatC.whatD.when

15.—Can we get everything ready by the weekend?

—It all depends on _______ we can get Mr.Green’s cooperation.A.thatB.whatC.whetherD.if基础题：1.ABDCC6.BABBB11.BCCAB

强化题：1.CCABB6.BDDDB11.CCBCC

第五篇：《风筝》巩固练习

让更多的孩子得到更好的教育

风筝

基础知识识记

1.根据拼音写汉字或给加点字注音。

风zhēng（）温xīn（）丫chà（）寂mò（）

憔cuì（）点zhuì（）嫌wù（）nüè（）杀

吐蕾（）瑟（）缩堕（）苦心孤诣（）．．．．

2.结合句意解释下列加红词语。

（1）伶仃地显出憔悴可怜模样。．．．．

伶仃：憔悴：

（2）我倒不如躲到肃杀的严冬中去吧。．．

肃杀：

（3）这样苦心孤诣地来偷做没出息孩子的玩艺。．．．．

苦心孤诣：

3.鲁迅（1881—1936），现代著名________家、________家和________家。原名________，字豫才，浙江绍兴人。1918年，首次用“鲁迅”的笔名，发表中国现代文学史上

让更多的孩子得到更好的教育的好时光。瞩望那长长的轻轻抖动的风筝线，竟丝丝缕缕牵出了我的童年。

②在乡下，三月的剪剪轻风还残留着冬的料峭。我们这些颠跑在蓊郁麦田里的孩子，摔打惯了，是不知道什么叫冷的。何况又常把嬉笑系在风筝线上，即便有些寒意，也早被如火的童心熔化掉，让野气的笑声赶跑了。

③人们都说：男孩子手笨，没女孩子手巧，这岂不有些重女轻男了么！不是吹，我们男孩虽未能绣出花团锦簇的衣冠，却从手中飞出这巧夺天工的风筝！嗨，做风筝可不像女孩子学针线，有的是时间，有的是专人指教。我们男孩子可整天像贼撵一般忙得脚不沾地。常趁放学后的间隙，三五个凑在一处无人知晓的角隅，或干脆跑到野外去，因为家里大人是不让我们摆弄风筝的。

④我们偷偷找来竹篾，且要绿皮的有韧性的，犹如女孩子绣花挑线一般仔细。我们把竹篾放到火堆上烤了，再弯成弓似的和轱辘似的等几何形状，拼在一起，悉心系好。就变成了形态各异的风筝的骨架。然后几颗小脑袋抵在一起，叽叽喳喳商量一阵，就各出心裁地用彩笔在糊好的桑皮纸上勾勒一通，便给它们穿上了斑斓的衣衫。这完全可以与女孩子织成的锦绣相媲美。然后用大团大团的线做放线，一头系在凤筝上，一头缠在一个线拐子上。这些线来得可不易呢，是我们这些“男子汉”低三下四，求爷告奶，甚至向小姑娘一连串喊上十声“好姐姐”才弄到手的。

⑤好了！抬起你因做风筝而勾得酸了的头，开始放吧。咳！风筝！风筝！全是风筝！这些大大小小造型生动的风筝，从辽阔的麦田里，迤逦的大道旁，潋滟的堤塘边冉冉升起——被底下幼稚的欢声笑语吹着，腾腾热气捧着，悠悠飞向空中，去亲吻白云。好似争艳的奇葩，挂彩的气球。我们的心醉了。⑥更叫绝的要数晚上。皓月高悬中天，大地一片静谧。夜色朦胧。我们几个小伙伴溜出来一叽咕，便带了心爱的风筝到村头田边。风筝纸是涂了闪金光的东西，还要想法把一段蜡头或一捻蘸了油的棉絮系在尾巴上，放飞时一点燃便像飞机尾翼上的信号灯。这通常极难放，因野外有风，蜡烛又不顶风，所以总是熄灭。但偶有做成功的，那风筝放起来就别有情趣，“信号灯”明灭闪烁，随风筝飘飘洒洒，也把一颗颗童心送上神秘的高空，如醉如痴。

⑦风筝也有赌气的时候，任你如何摆布，它总要往地上栽。这时的小伙伴决不会张飞似的环眼圆睁，一脚踏翻它的，而总是小心翼翼地检查一番，找出毛病，对症下药。随着欢呼声，风筝重又飘然升起。当放到得意处，猛不防风筝也会断线，摇头晃脑地越飘越远。我们拉着断了的风筝线，不胜惋惜„„⑧韶光如流。虽说童年已悄然离去，可风筝这根若有若无的线，却每每牵着我的童年。我常想捡回那逝去的童年！

⑨啊，我的鹅黄色的童年！

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