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网络课程平台分享的初英语法单选例题,一定要做一做!

网络课程平台分享的初英语法单选例题,一定要做一做!


英语时一门语言类的学科,要多记多练才能更好地吸收知识。但小优发现很多同学做了题之后就不管了,第一次出错,第二次再做还是错。接下来,小优就将初英语法易错单选例题分享出来,同学们一定要做一做,然后找出自己出错的原因,避免二次错误。

1. Where______Uncle Sun yesterday?

A. was B. were C. did D. does

2. They______going to see Mr. Sun tomorrow.

A. is B. are C. am D. be

3. Some are______in the river and some are______games.

A. swiming, playing B. swimming, playing

C. swimming, playing D. swimming, playing

4. Where is Dick? He______to the reading-room.

A. has been B. went C. has gone D. goes

5. Mark Twain, an American writer,______ everybody here.

A. knows B. is known as C. is known to D. is known for

6. I hope he will come to see me before he______here.

A. leave B. leaves C. will leave D. left

7. My teacher told me that Australians______English.

A. spoke B. speak

C. speaks D. are speaking

8. I think she______right now.

A. reading B. reads C. is reading D. read

9. ---- Where are the children?

---- They______a good time in the garden.

A. are having B. have C. have had D. had

10. ----- Where______my glasses? I can’t find them.

---- I______them on the bookshelf, but they aren’t there.

A. you put, put______B. you have put, have put

C. have you put, put D. did you put, have put

11. When the police arrived, the man______for 10 minutes.

A. died B. was death C. had died D. had been dead

12. By the time this talk is over, we______a lot about the earth.

A. will be learning B. are learning

C. world learn D. will have learnt

13. The teachers told me that they______me to smooth away the difficulties.

A. helped B. will help C. help D. were going to help

14. ----Have you seen him today?

----Yes, I______him this morning.

A. has seen B. see C. will see D. saw

15. He______worried when he heard this news.

A. is B. was C. does D. did

16. What’s your friend going______next week.

A. doing B. do C. does D. to do

17. I don’t think that it’s true. He’s always______strange stories.

A. tell B. telling C. told D. tells

18. Have you ever______West Hill Farm?

A. gone to B. arrived C. come to D. been to

19. How long______he______the novel?

A. has, borrowed B. has, kept

C. has, lent______D. is, using

20. He______to do this lessons at eight every evening.

A. is begining B. is beginning C. begin D. begins

21. The children______a swim this afternoon.

A. are going to has B. is going to have

C. are having______D. are going to have

22. There______a telephone call for my brother Steven yesterday.

A. is B. are C. was D. were

23.______he______on well with his friends this term?

A. Does, gets B. Does, get

C. Is, getting D. Is, geting

24. Who______away my pen? I can’t find it.

A. haven taken B. takes C. has taken D. took

25. Shall we______football this Saturday?

A. play B. playing C. plays D. to play

26. The children______at school now.

A. is B. are C. was D. were

27. Mr. Smith______short stories, but he______a TV play these days.

A. is writing, is writing B. is writing, writes

C. writes, is writing______D. writes, writes

28. He said he______the league for two years.

A. has joined B. has been in C. had been in D. joined

29. She likes watering trees in the garden,______she?

A. doesn’t B. don’t C. isn’t D. didn’t

30. What______you______to do to keep the room clean?

A. do, have B. does, have C. did, have D. are, have

31. Some flowers______by Kate already.

A. have been watered B. watered C. have watered D. has been watered

32. When winter comes, the leaves______fall.

A. are going to B. will C. will be D. would

33. I______to the cinema. I______there every Sunday.

A. go, go B. am going, go C. go, am going D. am going, am going

34. You______about the future now,______ you?

A. don’t think, don’t B. aren’t thinking, aren’t C. don’t think, do D. aren’t thinking, are

35. He was afraid that he______his way.

A. would lost B. would lose C. is going to D. shall lose

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数学网上辅导分享的这些数学知识点你掌握了多少?


机会只不过是相对于充分准备而又善于创造机会的人而言的。没有机会,就要创造机会;有了机会,就要巧妙地抓住机会,而高考就是同学们走上成功之路的第一个机会。小优特意为同学们整理了高三数学重点知识集合,希望对同学们有所帮助!  

【一】  

1.数列的定义  

按一定次序排列的一列数叫做数列,数列中的每一个数都叫做数列的项.  

(1)从数列定义可以看出,数列的数是按一定次序排列的,如果组成数列的数相同而排列次序不同,那么它们就不是同一数列,例如数列1,2,3,4,5与数列5,4,3,2,1是不同的数列.  

(2)在数列的定义中并没有规定数列中的数必须不同,因此,在同一数列中可以出现多个相同的数字,如:-1的1次幂,2次幂,3次幂,4次幂,…构成数列:-1,1,-1,1,….  (3)数列的项与它的项数是不同的,数列的项是指这个数列中的某一个确定的数,是一个函数值,也就是相当于f(n),而项数是指这个数在数列中的位置序号,它是自变量的值,相当于f(n)中的n.  

(4)次序对于数列来讲是十分重要的,有几个相同的数,由于它们的排列次序不同,构成的数列就不是一个相同的数列,显然数列与数集有本质的区别.如:2,3,4,5,6这5个数按不同的次序排列时,就会得到不同的数列,而{2,3,4,5,6}中元素不论按怎样的次序排列都是同一个集合.  

2.数列的分类  

(1)根据数列的项数多少可以对数列进行分类,分为有穷数列和无穷数列.在写数列时,对于有穷数列,要把末项写出,例如数列1,3,5,7,9,…,2n-1表示有穷数列,如果把数列写成1,3,5,7,9,…或1,3,5,7,9,…,2n-1,…,它就表示无穷数列.  

(2)按照项与项之间的大小关系或数列的增减性可以分为以下几类:递增数列、递减数列、摆动数列、常数列.  

3.数列的通项公式  

数列是按一定次序排列的一列数,其内涵的本质属性是确定这一列数的规律,这个规律通常是用式子f(n)来表示的。  

这两个通项公式形式上虽然不同,但表示同一个数列,正像每个函数关系不都能用解析式表达出来一样,也不是每个数列都能写出它的通项公式;有的数列虽然有通项公式,但在形式上,又不一定是的,仅仅知道一个数列前面的有限项,无其他说明,数列是不能确定的,通项公式更非.如:数列1,2,3,4,…,  

由公式写出的后续项就不一样了,因此,通项公式的归纳不仅要看它的前几项,更要依据数列的构成规律,多观察分析,真正找到数列的内在规律,由数列前几项写出其通项公式,没有通用的方法可循.  

再强调对于数列通项公式的理解注意以下几点:  

(1)数列的通项公式实际上是一个以正整数集N*或它的有限子集{1,2,…,n}为定义域的函数的表达式.  

(2)如果知道了数列的通项公式,那么依次用1,2,3,…去替代公式中的n就可以求出这个数列的各项;同时,用数列的通项公式也可判断某数是否是某数列中的一项,如果是的话,是第几项.  

(3)如所有的函数关系不一定都有解析式一样,并不是所有的数列都有通项公式.  

如2的不足近似值,精确到1,0.1,0.01,0.001,0.0001,…所构成的数列1,1.4,1.41,1.414,1.4142,…就没有通项公式.  

(4)有的数列的通项公式,形式上不一定是的,正如举例中的:  

(5)有些数列,只给出它的前几项,并没有给出它的构成规律,那么仅由前面几项归纳出的数列通项公式并不.  

4.数列的图象  

对于数列4,5,6,7,8,9,10每一项的序号与这一项有下面的对应关系:  

序号:1234567  

项:45678910  

这就是说,上面可以看成是一个序号集合到另一个数的集合的映射.因此,从映射、函数的观点看,数列可以看作是一个定义域为正整集N*(或它的有限子集{1,2,3,…,n})的函数,当自变量从小到大依次取值时,对应的一列函数值.这里的函数是一种特殊的函数,它的自变量只能取正整数.  

由于数列的项是函数值,序号是自变量,数列的通项公式也就是相应函数和解析式.  

数列是一种特殊的函数,数列是可以用图象直观地表示的.  

数列用图象来表示,可以以序号为横坐标,相应的项为纵坐标,描点画图来表示一个数列,在画图时,为方便起见,在平面直角坐标系两条坐标轴上取的单位长度可以不同,从数列的图象表示可以直观地看出数列的变化情况,但不精确.  

把数列与函数比较,数列是特殊的函数,特殊在定义域是正整数集或由以1为首的有限连续正整数组成的集合,其图象是无限个或有限个孤立的点.  

5.递推数列  

一堆钢管,共堆放了七层,自上而下各层的钢管数构成一个数列:4,5,6,7,8,9,10.  

数列①还可以用如下方法给出:自上而下第一层的钢管数是4,以下每一层的钢管数都比上层的钢管数多1。  

【同步练习题】  

1.已知数列{an}中,an=n2+n,则a3等于()  

A.3

B.9  

C.12

D.20  

答案:C  

2.下列数列中,既是递增数列又是无穷数列的是()  

A.1,12,13,14,…  

B.-1,-2,-3,-4,…  

C.-1,-12,-14,-18,…  

D.1,2,3,…,n  

解析:选C.对于A,an=1n,n∈N*,它是无穷递减数列;对于B,an=-n,n∈N*,它也是无穷递减数列;D是有穷数列;对于C,an=-(12)n-1,它是无穷递增数列.  

3.下列说法不正确的是()  

A.根据通项公式可以求出数列的任何一项  

B.任何数列都有通项公式  

C.一个数列可能有几个不同形式的通项公式  

D.有些数列可能不存在项  

解析:选B.不是所有的数列都有通项公式,如0,1,2,1,0,….  

4.数列23,45,67,89,…的第10项是()  

A.1617

B.1819  

C.2021

D.2223  

解析:选C.由题意知数列的通项公式是an=2n2n+1,  

∴a10=2×102×10+1=2021.故选C.  

5.已知非零数列{an}的递推公式为an=nn-1•an-1(n>1),则a4=()  

A.3a1

B.2a1  

C.4a1

D.1  

解析:选C.依次对递推公式中的n赋值,当n=2时,a2=2a1;当n=3时,a3=32a2=3a1;当n=4时,a4=43a3=4a1.  

如果想要系统性地学习知识,但还未报名数学网上辅导的同学,小优推荐同学们报名掌门优课。因为掌门优课会根据同学们入学测试的学习情况进行科学分班,进入到适合自己班型中学习才能更高效。当然,在后续的学习中,如果不适应当前的班型或者不喜欢老师的授课风格,随时可以更换。掌门优课还支持免费试听,同学们感兴趣可以先去试听一下。

俗话说,一分耕耘,一分收获。想要取得优异成绩,就要努力付出。希望同学们对于学习这件事能够持之以恒,最终达到自己的目标。


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