第24章 圆一课一练

人教版数学第二十四章圆经典训练题

24．1 圆

一、选择题．

1．如图1，如果AB为⊙O的直径，弦CD⊥AB，垂足为E，那么下列结论中，?错误的是（）．

A．CE=DE B．BC BD

=C．∠BAC=∠BAD D．AC>AD

C

(1) (2) (3)

2．如图2，⊙O的直径为10，圆心O到弦AB的距离OM的长为3，则弦AB的长是（）A．4 B．6 C．7 D．8

3．如图3，在⊙O中，P是弦AB的中点，CD是过点P的直径，?则下列结论中不正确的是（）

A．AB⊥CD B．∠AOB=4∠ACD C．AD BD

=D．PO=PD

二、填空题

1．如图4，AB为⊙O直径，E是BC中点，OE交BC于点D，BD=3，AB=10，则AC=_____．

B

A

(4) (5)

2．P为⊙O内一点，OP=3cm，⊙O半径为5cm，则经过P点的最短弦长为________；?最长弦长为_______．

3．如图5，OE、OF分别为⊙O的弦AB、CD的弦心距，如果OE=OF，

那么_______________（只需写一个正确的结论）

三、综合提高题

1．如图24-11，AB 为⊙O 的直径，CD 为弦，过C 、D 分别作CN ⊥CD 、DM ?⊥CD ，?分别交AB 于N 、M ，请问图中的AN 与BM 是否相等，说明理由．

2．如图，⊙O 直径AB 和弦CD 相交于点E ，AE=2，EB=6，∠DEB=30°，求弦CD 长．

B

A C

E D

O

3．（开放题）AB 是⊙O 的直径，AC 、AD 是⊙O 的两弦，已知AB=16，AC=8，AD=?8，?求∠DAC 的度数．

24.1 圆(第2课时)

一、选择题．

1．如果两个圆心角相等，那么（ ）

A ．这两个圆心角所对的弦相等;

B ．这两个圆心角所对的弧相等

C ．这两个圆心角所对的弦的弦心距相等;

D ．以上说法都不对

2．在同圆中，圆心角∠AOB=2∠COD ，则两条弧AB 与CD 关系是（ ） A ．AB =2CD B ．AB >CD C ．AB <2CD D ．不能确定 3．如图5，⊙O 中，如果AB =2AC ，那么（ ）．

A ．AB=AC

B ．AB=A

C C ．AB<2AC

D ．AB>2AC

O

B

A

O

B

A C

E

D

二、填空题

1．交通工具上的轮子都是做圆的，这是运用了圆的性质中的__________________．

2．一条弦长恰好为半径长，则此弦所对的弧是半圆的__________________．

3．如图6，AB 和DE 是⊙O 的直径，弦AC ∥DE ，若弦BE=3，则弦CE=________．

三、解答题

1．如图，在⊙O 中，C 、D 是直径AB 上两点，且AC=BD ，MC ⊥AB ，ND ⊥AB ，M 、

N ?在⊙O 上． （1）求证：AM =BN ；

OA 、OB 中点，则AM MN NB ==成立吗？

B

A

2．如图，以ABCD的顶点A为圆心，AB为半径作圆，分别交BC、AD于E、F，若∠D=50°，求BE的度数和EF的度数．

3．如图，∠AOB=90°，C、D是AB三等分点，AB分别交OC、OD于点E、F，求证：AE=BF=CD．

https://www.wendangku.net/doc/9d18999781.html,

O

C

E D

https://www.wendangku.net/doc/9d18999781.html,

F

24.1 圆(第3课时)

一、选择题

1．如图1，A 、B 、C 三点在⊙O 上，∠AOC=100°，则∠ABC 等于（ ）．

A ．140°

B ．110° C

(1) (2) (3)

2．如图2，∠1、∠2、∠3、∠4的大小关系是（ ） A ．∠4<∠1<∠2<∠3 B ．∠4<∠1=∠3<∠2 C ．∠4<∠1<∠3∠2 D ．∠4<∠1<∠3=∠2

3．如图3，AD 是⊙O 的直径，AC 是弦，OB ⊥AD ，若OB=5，且∠CAD=30°，则BC 等于

（ ）．

A ．3

B ．3．5-12

3．5

二、填空题

1．半径为2a 的⊙O 中，弦

AB 的长为，则弦AB 所对的圆周角的度数是________．

2．如图4，A 、B 是⊙O 的直径，C 、D 、E 都是圆上的点，则∠1+∠2=_______．?

B

(4) (5) 3．如图5，已知△ABC 为⊙O 内接三角形，BC=?1，?∠A=?60?°，?则⊙O?半径为_______．

https://www.wendangku.net/doc/9d18999781.html,

三、综合提高题

1．如图，弦AB把圆周分成1：2的两部分，已知⊙O半径为1，求弦长AB．

2．如图，已知AB=AC，∠APC=60°

（1）求证：△ABC是等边三角形．

（2）若BC=4cm，求⊙O的面积．

P

O

B

3．如图，⊙C经过坐标原点，且与两坐标轴分别交于点A与点B，点A的坐标为（0，4），M是圆上一点，∠BMO=120°．

（1）求证：AB为⊙C直径．

（2）求⊙C的半径及圆心C的坐标．

24.2 与圆有关的位置关系(第1课时)

一、选择题．

1．下列说法：①三点确定一个圆；②三角形有且只有一个外接圆；?③圆有且只有一个

内接三角形；④三角形的外心是各边垂直平分线的交点；⑤三角形的外心到三角形三边的距离相等；⑥等腰三角形的外心一定在这个三角形内，其中正确的个数有（? ） A ．1 B ．2 C ．3 D ．4

2．如图，Rt △ABC ，∠C=90°，AC=3cm ，BC=4cm ，则它的外心与顶点C 的距离为

（ ）．

A

．2.5 B ．2.5cm

C ．3cm

D ．4cm

3．如图，△ABC 内接于⊙O ，AB 是直径，BC=4，AC=3，CD 平分∠ACB ，则弦AD

长为（ ） A ．

522 B ．5

2

C 2

D ．3

二、填空题．

1．经过一点P 可以作_______个圆；经过两点P 、Q 可以作________?个圆，?圆心在

_________上；经过不在同一直线上的三个点可以作________个圆，?圆心是________的交点．

2．边长为a 的等边三角形外接圆半径为_______，圆心到边的距离为________．

3．直角三角形的外心是______的中点，锐角三角形外心在三角形______，钝角三角形

外心在三角形_________．

三、综合提高题．

1．如图，通过防治“非典”，人们增强了卫生意识，大街随地乱扔生活垃圾的人少了，人们自觉地将生活垃圾倒入垃圾桶中，如图24-49所示，A 、B 、C ?为市内的三个住宅小区，环保公司要建一垃圾回收站，为方便起见，?要使得回收站建在三个小区都相等的某处，请问如果你是工程师，你将如何选址．

. .

.

A B A C

24.2 与圆有关的位置关系(第2课时)

第二课时测试

一、选择题．

1．如图，AB 与⊙O 切于点C ，OA=OB ，若⊙O 的直径为8cm ，AB=10cm ，那么OA

的长是（ ）

A

B

2．下列说法正确的是（ ）

A ．与圆有公共点的直线是圆的切线．

B ．和圆心距离等于圆的半径的直线是圆的切线;

C ．垂直于圆的半径的直线是圆的切线;

D ．过圆的半径的外端的直线是圆的切线

3．已知⊙O 分别与△ABC 的BC 边，AB 的延长线，AC 的延长线相切，则∠BOC 等

于（ ）

A ．

12（∠B+∠C ） B ．90°+1

2

∠A C ．90°-1

2

∠A D ．180°-∠A

二、填空题

1．如图，AB 为⊙O 直径，BD 切⊙O 于B 点，弦AC 的延长线与BD 交于D ?点，?若AB=10，AC=8，则DC 长为________．

D

2．如图，P 为⊙O 外一点，PA 、PB 为⊙O 的切线，A 、B 为切点，弦AB 与PO 交于C ，⊙O 半径为1，PO=2，则PA_______，PB=________，PC=_______AC=______，BC=______∠AOB=________．

3．设I 是△ABC 的内心，O 是△ABC 的外心，∠A=80°，则∠BIC=?________，?∠

BOC=________．

A

新概念第一册一课一练第一阶段(1-30)

Lesson 1-2 常用词组 1. Excuse me! 2. Yes? 3. Pardon? 4. Thank you very much. 辨音 ( )1. A. pen B. pencil C. dress D. excuse ( )2. A. your B. you C. yes D. very ( )3. A. handbag B. bag C. thank D.. pardon ( )4. A. skirt B. sir C. house D. is ( )5. A. book B. school C. good D. goodbye (1—5 DDDDB) 根据课文情境完成对话 A: Excuse me! B: ____________ A: Is this your handbag? B: ____________? A: Is this your handbag? B: ______________. Thank you very much. 写单词 短裙（）雨伞（）书桌（）桌子（）原谅（）衬衫（）手表（）上衣（）连衣裙（） 手提包（） 翻译句子 1、这是你的上衣吗？ 2、对不起，请再说一遍。 3、这是你的手表吗？ 4、是的，它是我的。 5、非常感谢。 Lesson 3-4 重点句型与词组 My coat and my umbrella, please. Here is my ticket 辩音 ( )1. A. please B. is C. this C. goods ( )2. A. umbrella B. bus C. number D. suit ( )3. A. teacher B. school C. watch D. much ( )4. A. number B. teacher C. daughter D. here ( )5. A. five B. like C. ticket D. Hi (1—5 CDBDC) 根据课文完成对话 A: My coat and my umbrella, please. ___________________________ B: Thank you, sir. Number five. ____________________________ A: This is not my umbrella. B: ____________________ Is this your umbrella?

全新版大学英语四课后选题填空及一课一练选词填空unit3-unit7翻译

Unit3 the job market is becoming increasingly competitive,and your application package should show that you are aware of employers'needs. your application letter must make a good first impression so use approprite letter format and 't write too much but make sure you emphasize what you can contribute to the some of your abilities and experience,back these up with examples,and refer the reader to your resume/CV for more information. your CV should be easy to read,with clear sections and headings,bullet or numbered points,and plenty of some book or websites for acceptable your most recent experience or achievements first and work backwards in time,and don't send an identical CV every time-update it to reflect the specific job opporyunity. 就业市场的竞争正变得越来越激烈,你的应用程序包应该表明你知道招聘者的需要。 你的求职信必须做一个良好的第一印象,使用中文信件格式和礼。不要写太多,但一定要强调你可以为组织 做出贡献。州的一些自己的能力和经验,这些例子,并参考读者你的简历/简历的更多信息。 你的简历应该易于阅读,明确部分和标题,子弹或编号的点,和足够的空间。检查一些书或网站可以接受的格式。首先列出你最近的经验或成就,工作时间向后推移,不要每次都发送一个相同的简历更新以反映特定的 工作机会。 Uit4 Manpower Inc.,with 560000 workers,is the world's largest temporary employment moring ,its people swarm into the offices and factories of america,seeking a day's work for a day's day at a time as industrial giants like General Motors and IBM struggle to survive by reducing the number of employees,Manpower,based in Milwaukee,Wisconsin,is booming. even though its economy continues to recover,the us is increasingly becoming a nation of part timers and temporary "disposable" work force is the most important trend in american business today,and it is fundamentally changing the relationship between people and their phenomenon provides a way for companies to remain globally competitive while avoiding market cycles and the growing burdens imposed by employment rules,healthcare costs and pension workers it can mean an end to the security,benefits and sense of importance that came form being a loyal employee.人力资源公司,拥有560000员工,是世界上最大的临时就业机构。每天早上,人们涌入美国的办公室和工厂, 寻找一天的工作一天的工资。每天一次等工业巨头通用汽车(General Motors)和IBM为生存而挣扎的减少 员工的数量,人力,位于威斯康辛州密尔沃基正在蓬勃发展。尽管其经济持续复苏,美国正日益成为一个国家 部分定时器和临时工。这种“一次性”工作是最重要的趋势在今天的美国业务,并从根本上改变人与人之间 的关系和他们的工作。这种现象提供了一种方法为企业保持全球竞争力,同时避免市场周期和不断增长的就 业负担的规定,医疗费用和养老金计划。对工作者来说,它可能意味着结束的安全、利益和意识的重要性, 形成了一个忠诚的员工。

新概念一课一练

L e s s o n2 1 一·根据括号内所给的汉语提示写出相应的英语单词，并注意运用其正确形式。 1.He is ________(下决心的）to go to the small village to work as a teacher. 2.Miss Sophie didn’t come here for some ________(原因). 3.He borrowed a large ________(量) of money from the bank. 4.The man was nearly driven ________(疯狂地) by the noise. 5.Luckily, they_______(提供) me a job in that big company last month. 6.She will ________(可能) be here in a few minutes. 二·单项选择。 1.The terrible weather nearly made him ____mad. A.drive B. go C. turn D. become 2.The library didn’t ___into use until last month. https://www.wendangku.net/doc/9d18999781.html,e B. make C. take D. get 3.They made such loud noise that it could ____even the street. A.hear B. be hearing C. have heard D. be heard 4.That young man must ____seriously in the car accident yesterday. A.have hurt B. be hurt C. have been hurt D. be hurting am ____to keep on working until I finish it. A.determine B. determining C. determined D. to determine 6.The ____cars always make a lot of noise. A.passing B. passed C. pass D. to pass 7.They spent _____money to maintain(保养) the beach. A.A large number of B. a large sum of C. a great many of D. a plenty of 8.An exhibition of paintings ___at the museum next week. A.will to be held B. will be held C. will be holding D. will hold 9.Unluckily, that little girl was ____down by a car. A.knocked B. beaten D. striken 10.You should at least tell the reason ____ what you have done. A.of B. with C. for D. at 三．把下列主动语态的句子转换成被动语态的形式。 1.They will send you a bill at the end of the month. ____________________________________________ 2.We must look after young trees well. ____________________________________________ 3.Students must clean their classroom every day. ____________________________________________ 4.You must correct your mistakes in your exercises. ____________________________________________ 5.You can’t use a dictionary in the exam. _____________________________________________ 6.She will type the letters this afternoon. _____________________________________________ Lesson 22 一·根据括号内所给的汉语提示写出相应的英语单词，并注意运用其正确形式。 1. The ship sailed through the _______（海峡）.

第三版大学英语 1 一课一练 Unit 1

北京联合大学大学英语课程（上外教版）一课一练试卷（I级Unit One）Part I Writing (30 minutes) 注意：此部分试题在答题卡1上。 Directions: For this part, you are allowed 30 minutes to write a paragraph of your plan to develop your listening comprehension and speaking ability at college. You should write at least 120 words. Part II Reading Comprehension (Skimming and Scanning) (15 minutes) Directions: In this part, you will have 15 minutes to go over the passage quickly and answer the questions on Answer Sheet 1. For questions 1-7,choose the best answer from the four choices marked A),B),C) and D). For questions 8-10, complete the sentences with the information given in the passage. How to Improve Your Study Habits Perhaps you are an average student with average intelligence. You do well enough in school, but you probably think you will never be a top student. This is not necessary the case, however. You can receive better grades if you want to. Yes, even students of average intelligence can be top students without additional work. Here’s how: 1. Plan your time carefully. Make a list of your weekly tasks. Then make a schedule or chart of your time. Fill in committed time such as eating, sleeping, meetings, classes, etc. Then decide on good, regular times for studying. Be sure to set aside enough time to complete your normal reading and work assignments. Of course, studying shouldn’t occupy all of the free time on the schedule. It’s important to set aside time for relaxation, hobbies, and entertainment as well. This weekly schedule may not solve all of your problems, but it will make you more aware of how you spend your time. Furthermore, it will enable you to plan your activities so that you have adequate time for both work and play. 2. Find a good place to study. Choose one place for your study area. It may be a desk or a chair at home or in the school library, but it should be comfortable, and it should not have distractions. When you begin to work, you should be able to concentrate on the subject. 3. Skim before you read.This means looking over a passage quickly before you begin to read it more carefully. As you preview the material, you get some idea of the content and how it is organized. Later when you begin to read you will recognize less important material and you may skip some of these portions. Skimming helps double your reading speed and improves your comprehension as well. 4. Make good use of your time in class. Listening to what the teacher says in class means less work later. Sit where you can see and hear well. Take notes to help you remember what the teacher says. 5. Study regularly. Go over your notes as soon as you can after class. Review important points mentioned in class as well as points you remain confused about. Read about these points in your textbook. If you know what the teacher will discuss the next day, skim and read that material too. This will help you understand the next class. If you review your notes and textbooks regularly, the material will become more meaningful and you will remember it longer. Regular review leads to improved performance on tests. 6. Develop a good attitude about tests. The purpose of a test is to show what you have learned about a subject. The world won’t end if you don’t pass a test, so don’t worry excessively about a single test. Tests provide grades, but they also let you know what you need to spend more time studying, and they help make your new knowledge permanent. There are other techniques that might help you with your studying. Only a few have been mentioned here. You will probably discover many others after you have tried these. Talk with your classmates about their study techniques. Share with them some of the techniques you have found to be helpful. Improving your study habits will improve your grades.

新概念第一册一课一练-课

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Part V Cloze (15 minutes) 46-50 DDBCC 51-55 ABDAB 56-60 DCBAB 61-65 DCACA Part VI Translation (5 minutes) 71. impossible to communicate with her 16-year-old daughter 72. In addition to / Apart from writing compositions on a weekly basis 73. a native English speaker is going to teach us spoken English next term / semester 74. but will also help you build your speaking skills 75. please feel free to ask me

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