课时跟踪检测（三十一） 弧度制
A 级——学考合格性考试达标练
1.
3π
4
对应的角度为( ) A ．75° B ．125° C ．135°
D ．155°
解析：选C 由于1 rad ＝? ??
??
180π°，
所以3π4＝34π×? ????
180π°＝135°，故选C.
2．与角－π
6终边相同的角是( )
A.5π6
B.π3
C.11π6
D.2π3
解析：选C 与角－π6终边相同的角为2k π－π6，k ∈Z ，当k ＝1时，此角等于11π
6.故选
C.
3．把角－570°化为2k π＋α(0≤α<2π，k ∈Z )的形式为( ) A ．－3π－1
6π
B ．－4π＋150°
C ．－3k π－30°
D ．－4π＋5
6
π
解析：选D 因为－570°与5
6π的终边相同，所以把角－570°化为2k π＋α(0≤α<2π)的
形式为－4π＋5
6
π.
4．将分针拨快10分钟，则分针转过的弧度数是( ) A.π3 B ．－
π3 C.π6
D ．－
π6
解析：选B 分针拨快10分钟，决定了分针转动的方向是顺时针，即转过的弧度数是负的．因为分针拨快60分钟时转过弧度数为－2π，所以拨快10分钟转过的弧度数为－π
3
.
5．终边在y 轴的非负半轴上的角的集合是( )
A ．{α|α＝k π，k ∈Z } B.??????α??α＝k π＋π
2，k ∈Z
C ．{α|α＝2k π，k ∈Z }
D.????
??α??α＝2k π＋π
2，k ∈Z
解析：选D A 选项表示的角的终边在x 轴上，B 选项表示的角的终边在y 轴上；C 选项表示的角的终边在x 轴的非负半轴上；D 选项表示的角的终边在y 轴的非负半轴上．故选D.
6．－105°化为弧度为________，11π
3化为角度为________．
解析：－105°＝－105×π180＝－7
12π，
113π＝11
3×180°＝660°. 答案：－7
12
π 660°
7．已知一个扇形的弧所对的圆心角为54°，半径r ＝20 cm ，则该扇形的周长为________ cm.
解析：因为1°＝
π180 rad ，所以54°＝π180×54＝3π10，则扇形的弧长l ＝αr ＝3π
10
×20＝ 6π(cm)，故扇形的周长为(40＋6π)cm.
答案：40＋6π
8．圆的半径变为原来的3倍，而所对弧长不变，则该弧所对圆心角是原来圆弧所对圆心角的________倍．
解析：设原来圆的半径为r ，弧长为l ，弧所对的圆心角为α(0<α<2π)，则现在的圆的半径为3r ，弧长为l ，设弧所对的圆心角为β(0<β<2π)，于是l ＝αr ＝β·3r ，∴β＝1
3
α.
答案：1
3
9．把下列各角化成2k π＋α(0≤α＜2π，k ∈Z )的形式，并指出是第几象限角． (1)－1 500°；(2)23
6
π.
解：(1)∵－1 500°＝－1 800°＋300°＝－10π＋5π
3，
∴－1 500°与5π
3
终边相同，是第四象限角．
(2)∵
236π＝2π＋11
6
π， ∴236π与11
6π终边相同，是第四象限角．
10.如图，扇形AOB 的面积是4 cm 2，它的周长是10 cm ，求扇形的圆心角α的弧度数及弦AB 的长．
解：设弧AB 长为l cm ，扇形半径为r cm ，
则由题意，得?????l ＋2r ＝10，12
l ·r ＝4，解得?????r ＝1，l ＝8(不合题意，舍去)或?????r ＝4，l ＝2.∴α＝24＝12(rad)．
∴弦AB 的长为2r sin α
2＝2×4×sin 14＝8sin 1
4
(cm)．
B 级——面向全国卷高考高分练
1．一个扇形的弧长与面积的数值都是6，则这个扇形的圆心角是( ) A ．1 B ．2 C ．3
D ．4
解析：选C 设扇形的圆心角的弧度数为α，半径为r ，由题意知?????αr ＝6，
12αr 2
＝6，
解得α＝3，
故选C.
2．若α3＝2k π＋π3(k ∈Z )，则α
2
的终边在( )
A ．第一象限
B ．第四象限
C ．x 轴上
D ．y 轴上
解析：选D ∵α
3＝2k π＋π3(k ∈Z )，∴α＝6k π＋π(k ∈Z )，∴α2＝3k π＋π
2(k ∈Z )．当k 为
奇数时，α2的终边在y 轴的非正半轴上；当k 为偶数时，α
2的终边在y 轴的非负半轴上．综
上，α
2
的终边在y 轴上，故选D. 3．若角α与角x ＋π4有相同的终边，角β与角x －π
4
有相同的终边，那么α与β间的关系为( )
A ．α＋β＝0
B ．α－β＝0
C ．α＋β＝2k π(k ∈Z )
D ．α－β＝π
2
＋2k π(k ∈Z )
解析：选D ∵α＝x ＋π4＋2k 1π(k 1∈Z )，β＝x －π4＋2k 2π(k 2∈Z )，∴α－β＝π
2＋2(k 1－
k 2)π(k 1∈Z ，k 2∈Z )．
∵k 1∈Z ，k 2∈Z ，∴k 1－k 2∈Z . ∴α－β＝π
2
＋2k π(k ∈Z )．
4.已知某机械采用齿轮传动，由主动轮M 带着从动轮N 转动(如图所示)，设主动轮M 的直径为150 mm ，从动轮N 的直径为300 mm ，若主动轮M 顺时针旋转
π
2
，则从动轮N 逆时针旋转( ) A.π8 B.π4 C.π2
D ．π
解析：选B 设从动轮N 逆时针旋转θ rad ，由题意，知主动轮M 与从动轮N 转动的弧长相等，所以1502×π2＝300
2×θ，解得θ＝π4
，选B.
5．若角α的终边与8
5π角的终边相同，则在[0，2π)上，终边与α4
角的终边相同的角是
____________．
解析：由题意，得α＝8π5＋2k π(k ∈Z )，∴α4＝2π5＋k π2(k ∈Z )．令k ＝0，1，2，3，得α
4＝
2π5，9π10，7π5，19π
10
. 答案：
2π5，9π10，7π5，19π
10
6．在直径为10 cm 的轮上，有一长为6 cm 的弦，P 为该弦的中点，轮子以每秒5 rad 的角速度旋转，则经过5 s 后点P 转过的弧长是________cm.
解析：点P 在以轮的中心为圆心，半径为4 cm 的圆上，5 s 后点P 转过的圆心角为 25 rad ，由弧长公式知，该弧长为100 cm.
答案：100 7．已知α＝1 690°.
(1)把α写成2k π＋β(k ∈Z ，β∈[0，2π))的形式；
(2)求θ，使θ与α终边相同，且θ∈(－4π，4π)． 解：(1)1 690°＝4×360°＋250°＝4×2π＋25
18π.
(2)∵θ与α终边相同，∴θ＝2k π＋25
18π(k ∈Z )．
又θ∈(－4π，4π)，∴－4π<2k π＋25
18π<4π(k ∈Z )．
解得－9736 36(k ∈Z )，∴k ＝－2，－1，0，1. ∴θ的值是－4718π，－1118π，2518π，6118 π. 8.用弧度表示顶点在原点，始边与x 轴的非负半轴重合，终边在图中阴影部分的角的集合． 解：以射线OB 为终边的225°角与－135°角的终边相同，－135°＝－ 135×π180＝－3π4，而135°＝3π4，阴影部分(包括边界)位于－3π4与3π 4之间且跨越x 轴的非负 半轴．所以，终边在阴影部分(包括边界)的角的集合为 ?????α???? ????－3π4＋2k π≤α≤3π 4＋2k π，k ∈Z . C 级——拓展探索性题目应用练 如图，一长为 3 dm ，宽为1 dm 的长方形木块在桌面上作无滑动翻滚，翻滚到第四次时被一小木块挡住，使木块底面与桌面所成角为π 6，试求点A 走过的路程及走过的弧所 在的扇形的总面积．(圆心角为正) 解：在扇形ABA 1中，圆心角恰为π2，弧长l 1＝π2·AB ＝π 2 · 3＋1＝π，面积S 1＝12·π 2 ·AB 2 ＝12·π2·4＝π.在扇形A 1CA 2中，圆心角也为π2，弧长l 2＝π2·A 1C ＝π2·1＝π2，面积S 2＝12·π 2·A 1C 2 ＝12·π2·12＝π4.在扇形A 2DA 3中，圆心角为π－π2－π6＝π3，弧长l 3＝π3·A 2D ＝π3·3＝33π，面积S 3＝12·π3·A 2D 2＝12·π3·(3)2 ＝π2，∴点A 走过的路程长l ＝l 1＋l 2＋l 3＝π＋π2＋3π3 ＝ （9＋23）π6，点A 走过的弧所在的扇形的总面积S ＝S 1＋S 2＋S 3＝π＋π4＋π2＝7π 4 . Unit 5 Languages Around the World Period One 1.Chinese c__________ are made out of simple basic strokes. 2. C is the art of producing beautiful handwriting using a brush. 3. Like China, the USA is a large country in which many different d are spoken. 4. The rose is regarded as a s of love in both China and some Western countries. 5. Carbon dioxide(CO?) is one of the main (因素) in global warming which is negatively affecting everyone. II.Blank filling.（在空白处填入适当的内容（1个单词）或括号内单词的正确形式。） 1.Diligence is the means which one makes up for one's dullness(迟钝). 2. Health problems _________ (connect) with bad eating habits and a lack of exercise. 3. There are various reasons people choose to learn a foreign language 4. In the last few years the city of Bozhou has spread out rapidly in all (direction). 5. the growing heat these workers are still all in top hats and heavy uniforms. 6. They enjoy participating in a wide ________(various) of activities, both locally and further afield. 7. To meet the needs of _________ unified country, the First Qin Emperor took a series of measures. 8. We think that peace is not only a distant goal we seek, it is a means by which we arrive at that goal. 9. Today, Spanish is the world’s fourth most commonly(speak) language, after Chinese, English and Hindi. 10. Changing the attitude _____ learning foreign languages may be a hard task but the government decides to try! 1. I live in the place which the medicine capital city Bozhou. 2. students are registering for extra-curricular activities. 3. Every means has been tried, but we find only _______________ can we learn English well. 4. Chinese is an old language, and its earliest characters nearly four thousand years ago. 5. Because of his broken English, he couldn’t make himself understood, which the embarrassment. 6. The designer, with whom I have been working since 1999, shaping my views of the work. 7. There are extra-curricular activities including sports, painting, dancing and playing music as well. 8. It is what parents say and do in family life, which may have a life-long effect on their children. 9. In southern China,bats the door, because they are symbols of luck, health, wealth and happiness. 10. The school year two semesters, the first of which is September through December, the second January through May. IV. Cloze. （在空白处填入适当的内容（1个单词）或括号内单词的正确形式。） Nobody wants to be aged, but____1____it comes to visiting cities, most of us want to visit the world's oldest cities. Luoyang is one of the oldest and most ____2____(attract) cities in the world that I'd like to recommend to you. Luoyang stands out ____3____the oldest continually inhabited (持续居住的) city in Asia. The city is considered to be ____4____birthplace of Chinese culture and history as well as being one of the Seven Ancient Capitals of China. There ____5____ (be) no other city in China that has seen so many____6____(dynasty) like Luoyang. With such a long and exciting history, Luoyang has really a lot ____7____ (offer). The longmen Grottoes(龙门石窟), which ____8____(include) in the world Heritage List (世界遗产名录)since 2000, and many historic Buddhist temples constantly attract tourists from all over the world. Luoyang is also famous 9 the White Horse Temple, the earliest Buddhist temple ____10____(build) in China. Are you anxious to visit the city? V. Reading Comprehension 课时跟踪检测(十二) 苏武传 (时间：40分钟 满分：50分) 一、基础巩固(18分，每小题3分) 1．下列各句中加点词语的解释不正确的一项是( ) A ．单于使使晓武，会论． 虞常 论：判罪 B ．汉使张胜谋杀单于近臣， 当． 死 当：应当 C ．扶辇下除． ，触柱折辕 除：殿阶 D ．律前负． 汉归匈奴 负：背叛 解析：选B B 项，“当”，判处。 2．下列句子中，没有通假字的一句是( ) A ．与旃毛并咽之 B ．掘野鼠去草实而食之 C ．大臣亡罪夷灭者数十家 D ．武与副中郎将张胜及假吏常惠等募士斥候百余人俱 解析：选D A 项，“旃”同“毡”；B 项，“去”同“弆”；C 项，“亡”同“无”。 3．下列各组句子中，加点词的意义和用法完全相同的一组是( ) A.????? ①少以．父任，兄弟并为郎②恐前语发，以． 状语武 B.????? ①乃．徙武北海上无人处②使牧羝，羝乳乃．得归 C.????? ①久之．，单于使陵至海上②宜皆降之． D.????? ①虽．生，何面目以归汉②虽．蒙斧钺汤镬，诚甘乐之 解析：选D D 项，均为连词，即使。A 项，第一个“以”，介词，意为“因为”；第二个“以”，介词，意为“把”。B 项，第一个“乃”，连词，意为“于是”；第二个“乃”，副词，意为“才”。C 项，第一个“之”为音节助词，无实义；第二个“之”，代词，“他们”。 4．下列各句中，加点词语的意义与现代汉语相同的一项是( ) A ．汉天子我丈人．． 行也 B ．会缑王与长水虞常等谋反．． 匈奴中 C ．武使匈奴，明年．． ，陵降，不敢求武 D ．武父子亡功德，皆为陛下所成就．． 课时跟踪检测(四) Project Ⅰ.单词拼写 1．A kingdom (王国) is a country that is ruled by a king or a queen. 2．Though they came from different places, they live in perfect harmony (融洽)． 3．“Of course I don't mind，” she answered mildly (温和地)． 4．They have officially (正式地) announced their engagement. 5．They are surrounded (环绕) with dangers. 6．The article accurately reflects (反映) public opinions. Ⅱ.单句改错 1．His parents died, left him an orphan.left→leaving 2．How many members have official registered in the club？official→officially 3．When her son finally left home, Emily felt completely at loss.at后加a 4．He works at perfect harmony with his colleagues.at→in 5．I have such little interest in English that I almost have to give it up.such→so 6．Being surrounded by big mountains, the village is almost unknown to people outside.去掉Being Ⅲ.句型转换 1．He always thinks of me as a fool. →He always considers me to be a fool. 2．He ran so fast that I could hardly keep pace with him. →So fast did he run that I could hardly keep pace with him. 3．I hope that you will live harmoniously with your new neighbors. →I hope that you will live in harmony with your new neighbors. 4．A group of soldiers in rags were marching in the depth of the forest. →Marching in the depth of the forest were a group of soldiers in rags. 5．The beautiful sunrise on the top of Mount Tai left us speechless. →The beautiful sunrise on the top of Mount Tai left us at a loss for words. Ⅳ.完形填空 Half a year before graduation from college, my son began to seek a job. __1__ the financial crisis, fewer companies would like to __2__ new staff. My son targeted a company that was __3__ to hire only one person __4__ there were more than twenty people filling their resumes. After the interview, there would only be 3 who could enter the final round, which would later __5__ one person to be employed. Everything seemed to go quite __6__ and my son passed the first round and entered the final round in a week. On the day of the final interview, my son and the other two __7__ arrived at the interview 高中校本教材新高考·新理念·新教材课时跟踪检测（必修一） Unit 1 Teenage Life Period Two 命题人: 班级：姓名： 1.The school is responsible for the ___________(安全) of all the students. 2. Choosing a suitable _______ (标题)for your passage is of great importance. 3. I hope I can join your company when I g_________ from Peking University. 4. The volunteer work experience is a great way to give back to the ___________(社区). 5. Getting a notebook to help you keep a _________(计划；安排) of the things will stop you putting things off. II.Blank filling.（在空白处填入适当的内容（1个单词）或括号内单词的正确形式。） 1. It’s _________ big challenge for you to complete any personal goal in time. 2. All the students are brave enough to face up to __________ comes up in the future. 3. Whenever I'm facing a __________(difficult), I always tell myself, "Don't ever quit!" 4. The first week was all a bit confusing, _________soon I got used to the new school life. 5. We can try a course for two weeks after we register for it. After that, we cannot change _______. 6. Nowadays, parents take more _________(responsible) for the education of their children than before. 7. Girls used to take fewer _________(advance) math courses than boys but now they are taking just as many. 8. I find it really _______(annoy) when some students say I got good marks in the exams because of being lucky. 9. We _______(high) recommended that students read some materials from the English-speaking countries. 10. I find that looking after children is a __________(challenge) job where you need to be patient and careful. 1.The runner failed to __________________ the others though he tried his best. 2.There was nobody else at hand, so we had to do all this ___________________. 3.We have to ______________________ whatever the future may have in store. 4.We are going to set up a food bank _______________ food to hungry people. 5.We are told to ______________ keeping the room tidy and cleaning the chalkboard. 6. I am going to start my first job, but I what to wear for work. 7. —I have the Oral English Competition. —What a ridiculous idea. You even don’t know how to introduce yourself in English. 8. He used to live in the countryside but now he living in the noisy area. 9. Before we leave here, we need to what to take and what to leave behind. 10.These workers had been in the United States for twenty or more years and therefore English. III. Cloze. （在空白处填入适当的内容（1个单词）或括号内单词的正确形式。） “The secret to getting ahead is getting started.” — Mark Twain S taying active in more ways than one. First of all, don’t be a bystander. Don’t let things pass you by 1 you are there to experience them. Try a new fitness schedule, join a club, find new ways 2 (meet) people, play basketball o r team sports. The second piece of “staying active” has to do 3 taking action—there is a difference between saying you are going to do something 4 actually carrying it out. Mean what you say and say what you mean. Seize 5 (opportunity) when you can. “Am I something? And the answer comes, already am, always was, and I still have time to be.” — Anis Mojgai You live your life in a small community at a small school and you only see a small piece of the world. Then, Suddenly you 6 (throw) into a large community at a large school, where there are thousands of young, insecure, definitely 7 (confuse) freshmen. They are all trying to fit in, 8 if everybody is trying to be someone they are not, no one can see them for who they really are. Don’t feel the need to obey anyone else’s idea of 9 you should be as a freshman. This goes along with being true to yourself, but there is a large amount of freedom that 10 (come) from being confident in who you are. Good habits formed at youth make all the difference. - 1 - 2020年人教版高中数学必修一全套精品教 案（完整版） 第一章集合与函数 §1.1.1集合的含义与表示 一. 教学目标： l.知识与技能 (1)通过实例，了解集合的含义，体会元素与集合的属于关系； (2)知道常用数集及其专用记号； (3)了解集合中元素的确定性.互异性.无序性； (4)会用集合语言表示有关数学对象； (5)培养学生抽象概括的能力. 2. 过程与方法 (1)让学生经历从集合实例中抽象概括出集合共同特征的过程，感知集合的含义. (2)让学生归纳整理本节所学知识. 3. 情感.态度与价值观 使学生感受到学习集合的必要性，增强学习的积极性. 二. 教学重点.难点 重点：集合的含义与表示方法. 难点：表示法的恰当选择. 三. 学法与教学用具 1. 学法：学生通过阅读教材，自主学习.思考.交流.讨论和概括，从而更好地完成本节课的教学目标. 2. 教学用具：投影仪. 四. 教学思路 (一)创设情景，揭示课题 1．教师首先提出问题：在初中，我们已经接触过一些集合，你能举出一些集合的例子吗? 引导学生回忆.举例和互相交流. 与此同时，教师对学生的活动给予评价. 2.接着教师指出：那么，集合的含义是什么呢?这就是我们这一堂课所要学习的内容. （二）研探新知 1．教师利用多媒体设备向学生投影出下面9个实例： (1)1—20以内的所有质数； (2)我国古代的四大发明； (3)所有的安理会常任理事国； (4)所有的正方形； (5)海南省在2004年9月之前建成的所有立交桥； (6)到一个角的两边距离相等的所有的点； (7)方程2560 -+=的所有实数根； x x (8)不等式30 x->的所有解； (9)国兴中学2004年9月入学的高一学生的全体. 2．教师组织学生分组讨论：这9个实例的共同特征是什么? 3.每个小组选出——位同学发表本组的讨论结果，在此基础上，师生共同概括出9个实例的特征，并给出集合的含义. 一般地，指定的某些对象的全体称为集合(简称为集).集合中的 每个对象叫作这个集合的元素. 4.教师指出：集合常用大写字母A，B，C，D，…表示，元素常 用小写字母,,, a b c d…表示. (三)质疑答辩，排难解惑，发展思维 1．教师引导学生阅读教材中的相关内容，思考：集合中元素有 什么特点?并注意个别辅导，解答学生疑难.使学生明确集合元素的 三大特性，即:确定性.互异性和无序性.只要构成两个集合的元素是 一样的,我们就称这两个集合相等. 2．教师组织引导学生思考以下问题： 判断以下元素的全体是否组成集合，并说明理由： (1)大于3小于11的偶数； 课时跟踪检测（一） Welcome to the unit & Reading — Language points Ⅰ.单句语法填空 1．There are 30 people injured in the traffic accident but the injured were rescued at once.(injure) 2．She was confident of her becoming popular with the students. 3．I didn't want to add to my mother's worry, so I hurried home. 4．It is reported in the newspaper that talks between the two countries are making progress. 5．He appears careless, but in reality, he is a very careful person. Ⅱ.完成句子 1．如果你认为这样方便的话，我们把时间定在下午六点。 If you think that it_is_convenient_to_you,_we will fix the time at 6：00 pm. 2．我们都赞成他在会上提出的计划。 We all agreed to the plan he_had_put_forward at the meeting. 3．球队和球迷确信能够赢得即将到来的比赛。 The team and the fans are_confident_of_winning the coming match. 4．她吃了一惊，他居然还记得她的名字。 It_amazed_her that he still remembered her name. 5．需要采取措施使农田免遭洪水的侵袭。 Some measures are needed to_secure_the_farmland_against/from floods. 6．一看到这张聚会照片，她就陷入了对过去的美好回忆中。 No_sooner_had_she_seen the get-together photo than she got lost in the old sweet memories. 7．已经证明你的计划是实用的。 It_has_been_proved_that your plan is practical. Ⅲ.完形填空 Throughout history, many great leaders and explorers have tried hard to find objects or other ways to live forever. While it might sound __1__ to live forever, I believe that what makes life so __2__ is that it doesn't last forever. So, I don't __3__ that living forever is a good idea. For one thing, I think living forever would be very __4__. We always have to find ways to __5__ ourselves in a normal lifetime. __6__ you lived forever, you would still Unit 2 Robots Learning about Language Using Language Ⅰ.单句语法填空 1．It was an absurd arrangement, bound to_lead (lead) to catastrophe. 2．She is junior to me but she looks mature. 3．The young man has a talent for management, so you can rely on him to do the work perfectly. 4．I don't know when they got divorced (divorce)． 5．Try to set aside some money each month for future use. Ⅱ.完成句子 1．如果这样的话，你的观点一定会和他的起冲突。 If so, your points of view are_bound_to conflict with his. 2．小时候，她写了很多优秀的诗歌，显示出了文学天赋。 She wrote many excellent poems at an early age, showing_a_talent_for literature. 3．为了身体健康，我们应该留出一些时间锻炼身体。 For the benefit of our health, we should_set_aside_some_time to take exercise. 4．童年的一切一下子涌入我的大脑，仿佛它们刚刚发生似的。 Everything in my childhood crowed upon my mind as_if_they_had_just_happened. 5．汤姆变成了法官，然而他依然是个渔夫。 Tom became a judge while_he_remained_a_fisherman. Ⅲ.完形填空 A library is a place to find out about almost anything. In it there are mostly __1__， but there are also pictures, papers, magazines, maps, records, special science and art shows, films, plays, and contests may also be __2__ in a library. __3__， a library only had books, and these were difficult to get. There were __4__ books that no one was __5__ to take them out of the library. After the printing machine was invented, books could be made __6__ and libraries got more books. To borrow a book to be __7__ home today, a person just needs a library card. The person goes to the main desk to __8__ a library helper check the book out. The helper prints the card with the date by which the book __9__ be returned to the library. If the book is returned __10__， the person must usually __11__ money for having broken the __12__. 高中英语学习材料 madeofjingetieji 课时跟踪检测（一） Warming Up & Reading — Language Points Ⅰ.单句语法填空 1．It was in prison that he set down the story. 2．After going through the woods, you’ll find a hospital. 3．The house fell down before she was able to save her little daughter. 4．She joined an English club in order to improve her English. 5．The couple told us it was the fourth time that they had_visited (visit) the West Lake. 6．Before eating, please add some salt to the dish. 7．As far as I’m concerned (concern), it is not a good idea to go camping tonight. 8.While swimming (swim) in the river, we saw a fish jump out of the river. 9．It is no good staying up too late every day. Ⅱ.完成句子 1.He was_very_upset_about_the_fact (为此事很难过) that they couldn’t go to the beach. 2．The teacher made every effort to calm_his_student_down (使他的学生冷静下来) after the exam. 3．I got up early in_order/so_as_not_to_be_late_for_school (为了上学不迟到)． 4．The police went_through_our_luggage (检查了我们的行李) before we got on the plane. 5．A_series_of_wet_days (一连串的雨天) drove me crazy. 6．The time I spend on reading every day adds_up_to_two_hours (合计两个小时)．7．I won’t go there unless_(I_am)_invited (除非受到邀请)． 8．He treated me so badly that I couldn’t_stand_it_any_longer (不能再忍受了)． Ⅲ.阅读理解 A Dear Mr Black， I used to have a really good group of friends. Now they’re all getting into smoking and drinking. I want to find a new group of friends, but I’m shy. How can I know who are the types of people I should make friends with, and who will accept me? Yours， Mike 课时跟踪检测（十二）师说 (时间：40分钟满分：60分) 一、文言基础专练(28分) 1．下列各句中加点的词语，解释不正确的一项是(3分)( ) A．吾从而师．之师：以……为师 B．吾未见其明．也明：明智 C．君子不齿．齿：并列 D．圣人无常．师常：经常 解析：选D D项，常：固定的。 2．下列加点词语的含义与现在的用法分析正确的一组是(3分)( ) ①古之学者 ．．受业解惑也③今之众人 ．．，其下圣人也亦远矣④小．．．必有师②师者，所以传道 学．而大遗，吾未见其明也⑤弟子不必 ．． ．．不如师，师不必贤于弟子⑥年十七，好古文A．全不相同 B．②③⑤和现在的用法相同 C．全都相同 D．①③⑥和现在的用法相同 解析：选A ①学者，古义：求学之人；今义：在学术上有一定成就的人。②传道，古义：传播道理，文中指传播儒家思想；今义：通常指传播宗教思想。③众人，古义：普通人；今义：大家。④小学，古义：在文中指对小的方面学习；今义：对儿童、少年实施初等教育的学校。⑤不必，古义：不一定；今义：用不着，不需要。⑥古文，古义：先秦两汉的文字；今义：相对于白话文的文言文。 3．从句式特征看，与“师者，所以传道受业解惑也”一句相同的一项是(3分)( ) A．道之所存，师之所存也B．句读之不知，惑之不解 C．不拘于时，学于余D．圣人无常师 解析：选A A项与例句同为判断句。B项是宾语前置；C项是被动句；D项是一般句式。 4．下列句子中，“师”字的用法不同于其他三项的一项是(3分)( ) A．于其身也，则耻师．焉 B．或师．焉，或不焉 C．爱其子，择师．而教之 D．师．道之不复，可知矣 解析：选C C项为名词，译为“老师”，其他三项为动词，意为“从师”。 5．下列加点词语含义相同的一组是(3分)( ) 第一章集合与函数概念 一：集合的含义与表示 1、集合的含义：集合为一些确定的、不同的东西的全体，人们能意识到这些东 西，并且能判断一个给定的东西是否属于这个整体。 把研究对象统称为元素，把一些元素组成的总体叫集合，简称为集。 2、集合的中元素的三个特性： （1）元素的确定性：集合确定，则一元素是否属于这个集合是确定的：属于或不属于。 （2）元素的互异性：一个给定集合中的元素是唯一的，不可重复的。 （3）元素的无序性:集合中元素的位置是可以改变的，并且改变位置不影响集合 3、集合的表示：{…} （1）用大写字母表示集合：A={我校的篮球队员},B={1,2,3,4,5} （2）集合的表示方法：列举法与描述法。 a、列举法：将集合中的元素一一列举出来 {a,b,c……} b、描述法： ①区间法：将集合中元素的公共属性描述出来，写在大括号内表示集合。 {x∈R| x-3>2} ,{x| x-3>2} ②语言描述法：例：{不是直角三角形的三角形} ③Venn图:画出一条封闭的曲线，曲线里面表示集合。 4、集合的分类： （1）有限集：含有有限个元素的集合 （2）无限集：含有无限个元素的集合 （3）空集：不含任何元素的集合 5、元素与集合的关系： （1）元素在集合里，则元素属于集合，即：a∈A （2）元素不在集合里，则元素不属于集合，即：a￠A 注意：常用数集及其记法： 非负整数集（即自然数集）记作：N 正整数集 N*或 N+ 整数集Z 有理数集Q 实数集R 6、集合间的基本关系 （1）.“包含”关系（1）—子集 定义：如果集合A的任何一个元素都是集合B的元素，我们说这两个集合有包含关系，称集合 A?（或B?Ａ） A是集合B的子集。记作：B A?有两种可能（1）A是B的一部分； 注意：B （2）A与B是同一集合。 反之: 集合A不包含于集合B,或集合B不包含集合A,记作A?/B或B?/A （2）.“包含”关系（2）—真子集 A?，但存在元素x∈B且x￠A，则集合A是集合B的真子集 如果集合B 如果A?B,且A≠ B那就说集合A是集合B的真子集，记作A B(或B A)读作A真含与B （3）．“相等”关系：A=B “元素相同则两集合相等” 如果A?B 同时 B?A 那么A=B （4）. 不含任何元素的集合叫做空集，记为Φ 课时跟踪检测(四)安东诺夫卡苹果 (时间：40分钟满分：55分) 一、基础巩固(12分，每小题3分) 1．下列各句中，加点成语使用正确的一项是() A．在希腊古奥林匹克遗址，最高女祭司娜芙普利都点燃了奥运圣火，她神情庄重颐指 ．． 气使 ．．地将火炬传递给了第一火炬手亚历山大。 B．中央电视台播出的纪录片《舌尖上的中国》，美轮美奂 ．．．．地展示了中国各地的美食生态和丰富多彩的饮食文化。 C．扬州市推广使用电子书以后，学生们摆脱了卷帙浩繁 ．．．．的纸质教材、参考书，书包的重量减轻了不少。 D．水乳交融的艺术表达中，寓含许多可感知的和不可名状 ．．．．的东西，它们游弋于水与墨、意与情中，体现着山水之莽苍，阐释东方文化所独有的审美观。 解析：选D A项，不合语境。颐指气使：不说话而用面部表情或口鼻出气发声来示意，指有权势的人随意支使人的傲慢神气。B项，此处使用对象不当。美轮美奂：形容房屋高大华丽。C项，不合语境。卷帙浩繁：形容书籍很多或一部书的部头很大。D项，不可名状：无法用语言来形容。使用正确。 2．下列各句中，没有语病的一句是() A．长征系列运载火箭是一个能力强大的火箭家族，不仅能满足部分国外用户的需求，更服务于国民经济建设，在世界上也是可以引以为傲的。 B．本地的海南鸡饭摊主手持锋利的菜刀，在圆木砧板上将香滑滴油的白鸡干净利落地斩开，排列在白饭上，真是垂涎欲滴。 C．从网帖描述来看，该员工此前的岗位职责主要是接收客户投诉和解决客户问题，这需要具有一定的心理适应和自我调整能力。 D．作为中国的建筑师，竟然读不懂自己祖先所写的建筑专书，这让梁思成无法忍受，立志回国终身从事中国传统建筑的研究。 解析：选C A项，语序不当，应将“能满足部分国外用户的需求”与“服务于国民经济建设”互换位置。B项，成分残缺，“垂涎欲滴”的主语是“人”，应在“垂涎欲滴”前加上“让人”。D项，偷换主语，“立志”前应加上“他”。 3．下列各句中，表达得体的一句是() A．对于即将到来的高考新政，李老师等三人经过认真调查研究，撰写了一份高质量调新人教版必修一 Unit5 Period 1课时跟踪检测
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