第一篇：《對數的概念3》鞏固練習

漣水中學高一級部數學學科教學案（編號：024）

《對數的概念3》鞏固練習

班級_________姓名_________等第_________日期_________

一、填空題

1、(lg2)2?(lg5)2?2lg2?lg5的值為

2、log281?log216?log220?log230?______________ 33333、①log148?log13?____________ ②lg222512?lg48?_____________

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

lg12lg155、已知lg2?a,lg3?b，則

二、解答題

等于_________________

6、（1）若lg2?0.3010,lg3?0.4771,求lg

45;

b（2）已知log189?a,18?5,試用a、b表示log365

7、已知 2x?43y?12,求63x?2y的值

《對數函數1》預習材料和課堂筆記

漣水中學高一級部數學學科教學案（編號：024）第1頁 【知識點分解與課堂探究】

一、課前預習

1、對數函數的概念：

2、對數函數的圖象和性質：

例題

1、求下列函數的定義域：

(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)

例題

2、利用對數函數的性質，比較下列各組數中兩個數的大小：

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

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

例題

3、（1）不等式lg(4?3x)?1的解集為。

（2）不等式loga23?1的解集為。

例題

4、求下列函數的值域：

2x?log3x ?1?y?log1(x2?4)?2?y?log3(x?9)?3?y?log32

二、隨堂練習

1、解下列方程

?1?52x?1?2(2)lg(3x?1)?2

2、求函數的f(x)?log1(x?6x?17)值域。

22漣水中學高一級部數學學科教學案（編號：024）第2頁

第二篇：對數的概念教學反思

對數的概念教學反思

正確理解對數定義中底數的限制，為以后對數函數定義域的確定作準備。同時注意對數的書寫，避免因書寫不規范而產生的錯誤。本教學設計先由引例出發，創設情境，激發學生對對數的興趣；在講授新課部分，通過結合多媒體教學以及一系列的課堂探究活動，加深學生對對數的認識；最后通過課堂練習來鞏固學生對對數的掌握。

第三篇：高一數學教案：對數的概念1

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課

題：2.3.1 對數-對數的概念

教學目的：1．理解對數的概念，能夠進行對數式與指數式的互化；

2．滲透應用意識，培養歸納思維能力和邏輯推理能力，提高數學發現能力。

教學重點：對數的概念

教學難點：對數概念的理解.授課類型：新授課 課時安排：1課時

教 具：多媒體、背投

教材分析：17世紀初，為了解決很多位數的數字繁雜的計算而產生了對數。現在用對數進行大數的計算已被新的運算工具所取代，因此中學對于傳統的對數內容進行了大量的刪減。但對數函數應用還是廣泛的，后續的教學內容也經常用到。

本節講對數的定義和運算性質的目的主要是為了學習對數函數。對數概念與指數概念有關，是在指數概念的基礎上定義的，在一般對數定義logaN(a?0,a?1)之后，給出兩個特殊的對數：一個是當底數a?10時，稱為常用對數，簡記作lgN?b；另一個是底數a?e(一個無理數)時，稱為自然對數，簡記作lnN?b。這樣既為學生以后學習或讀有關的科技書給出了初步知識，也使教材大大簡化，只保留到學習對數函數知識夠用即可。教學過程：

一、復習引入：

在第2．2．2節的例4中，我們研究了一種放射性物質不斷變化為其他物質的過程，設該物質最初的質量是1，則經過x年，該物質的剩留量y?0.84，由此，知道了經過的時間x，就能求出的該物質的剩留量y；反過來，知道了該物質的剩留量y，怎樣求出所經過的時間x呢？

●特別地，經過多少年這種物質的剩留量為原來的一半？

二、新授內容：

上述問題也就是求滿足0.84?0.5中的x，此時問題就轉化為已知底數和冪的值求指數。定義：一般地，如果 a?a?0,a?1?的b次冪等于N, 即 a?N，那么就稱b是以a為

bxx底 N的對數，記作 logaN?b，其中a叫做對數的底數，N叫做真數。

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b由對數的定義可知，a?N與b?logaN兩個等式所表示的是a,b,N三個量之間的11同一關系。例如：3?9?log39?2；log42??42?2

22根據對數的定義可知，要解決本節開頭提出的問題，就只要計算log0.840.5的值。●對數式logaN的理解

⑴是一種運算：已知底a和冪N求指數的運算，即求關于x的方程a?N的解 ⑵是一個記號：用和冪N表示對應的指數的記號，是指數式a?N的另一種等價表示形式logaN?x

●⑴底a的要求大于零不為1。

⑵負數與零沒有對數（∵在指數式中N?0）⑶loga1?0，logaa?1

∵對任意 a?0且 a?1, 都有 a?1 ∴loga1?0 同樣易知： logaa?1

三、講解范例：

例1．將下列指數式改寫成對數式：

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

⑶log520?a ⑷log10.45?b

212例2．將下列對數式改寫成指數式：

⑴log5125?3； ⑵log133??2； ⑶log10a??1.699

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解：⑴53?125 ⑵(1?2)?3 ⑶10?1.699?a 3●常用對數：我們通常將以10為底的對數叫做常用對數。為了簡便, N的常用對數log10N簡記作lgN?b。如log10a??1.699簡記作lga??1.699

自然對數：在科學技術中常常使用以無理數e?2.71828……為底的對數，以e為底的對數叫自然對數，為了簡便，N的自然對數logeN簡記作lnN?b。例如：loge3簡記作ln3；loge10簡記作ln10

例3．求下列各式的值：

⑴log264； ⑵log927 解：⑴由2?64，得log264?6

⑵設x?log927，則 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．證明對數恒等式：alogaN?N

logaNb●如果把 a?N 中的 b寫成 logaN, 則有 a?N

四、練習：

五、小結 本節課學習了以下內容：

⑴對數的定義，⑵指數式與對數式互換 ⑶求對數式的值

六、課后作業：

七、板書設計（略）

八、課后記：

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第四篇：名詞性從句鞏固練習3（精選）

名詞性從句鞏固練習

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：基礎題

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：強化題

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年山東模擬題)

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基礎題：1.ABDCC6.BABBB11.BCCAB

強化題：1.CCABB6.BDDDB11.CCBCC

第五篇：《風箏》鞏固練習

讓更多的孩子得到更好的教育

風箏

基礎知識識記

1.根據拼音寫漢字或給加點字注音。

風zhēng（）溫xīn（）丫chà（）寂mò（）

憔cuì（）點zhuì（）嫌wù（）nüè（）殺

吐蕾（）瑟（）縮墮（）苦心孤詣（）．．．．

2.結合句意解釋下列加紅詞語。

（1）伶仃地顯出憔悴可憐模樣。．．．．

伶仃：憔悴：

（2）我倒不如躲到肅殺的嚴冬中去吧。．．

肅殺：

（3）這樣苦心孤詣地來偷做沒出息孩子的玩藝。．．．．

苦心孤詣：

3.魯迅（1881—1936），現代著名________家、________家和________家。原名________，字豫才，浙江紹興人。1918年，首次用“魯迅”的筆名，發表中國現代文學史上

讓更多的孩子得到更好的教育的好時光。矚望那長長的輕輕抖動的風箏線，竟絲絲縷縷牽出了我的童年。

②在鄉下，三月的剪剪輕風還殘留著冬的料峭。我們這些顛跑在蓊郁麥田里的孩子，摔打慣了，是不知道什么叫冷的。何況又常把嬉笑系在風箏線上，即便有些寒意，也早被如火的童心熔化掉，讓野氣的笑聲趕跑了。

③人們都說：男孩子手笨，沒女孩子手巧，這豈不有些重女輕男了么！不是吹，我們男孩雖未能繡出花團錦簇的衣冠，卻從手中飛出這巧奪天工的風箏！嗨，做風箏可不像女孩子學針線，有的是時間，有的是專人指教。我們男孩子可整天像賊攆一般忙得腳不沾地。常趁放學后的間隙，三五個湊在一處無人知曉的角隅，或干脆跑到野外去，因為家里大人是不讓我們擺弄風箏的。

④我們偷偷找來竹篾，且要綠皮的有韌性的，猶如女孩子繡花挑線一般仔細。我們把竹篾放到火堆上烤了，再彎成弓似的和轱轆似的等幾何形狀，拼在一起，悉心系好。就變成了形態各異的風箏的骨架。然后幾顆小腦袋抵在一起，嘰嘰喳喳商量一陣，就各出心裁地用彩筆在糊好的桑皮紙上勾勒一通，便給它們穿上了斑斕的衣衫。這完全可以與女孩子織成的錦繡相媲美。然后用大團大團的線做放線，一頭系在鳳箏上，一頭纏在一個線拐子上。這些線來得可不易呢，是我們這些“男子漢”低三下四，求爺告奶，甚至向小姑娘一連串喊上十聲“好姐姐”才弄到手的。

⑤好了！抬起你因做風箏而勾得酸了的頭，開始放吧。咳！風箏！風箏！全是風箏！這些大大小小造型生動的風箏，從遼闊的麥田里，迤邐的大道旁，瀲滟的堤塘邊冉冉升起——被底下幼稚的歡聲笑語吹著，騰騰熱氣捧著，悠悠飛向空中，去親吻白云。好似爭艷的奇葩，掛彩的氣球。我們的心醉了。⑥更叫絕的要數晚上。皓月高懸中天，大地一片靜謐。夜色朦朧。我們幾個小伙伴溜出來一嘰咕，便帶了心愛的風箏到村頭田邊。風箏紙是涂了閃金光的東西，還要想法把一段蠟頭或一捻蘸了油的棉絮系在尾巴上，放飛時一點燃便像飛機尾翼上的信號燈。這通常極難放，因野外有風，蠟燭又不頂風，所以總是熄滅。但偶有做成功的，那風箏放起來就別有情趣，“信號燈”明滅閃爍，隨風箏飄飄灑灑，也把一顆顆童心送上神秘的高空，如醉如癡。

⑦風箏也有賭氣的時候，任你如何擺布，它總要往地上栽。這時的小伙伴決不會張飛似的環眼圓睜，一腳踏翻它的，而總是小心翼翼地檢查一番，找出毛病，對癥下藥。隨著歡呼聲，風箏重又飄然升起。當放到得意處，猛不防風箏也會斷線，搖頭晃腦地越飄越遠。我們拉著斷了的風箏線，不勝惋惜??⑧韶光如流。雖說童年已悄然離去，可風箏這根若有若無的線，卻每每牽著我的童年。我常想撿回那逝去的童年！

⑨啊，我的鵝黃色的童年！

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