河北省中考试卷(谁知道2005年河北省语数英中考题)

2024-04-12 12:58:48

河北省2005年中考英语试题

英语

本试卷分第1卷和第Ⅱ卷两部分，共1 20分，考试时间1 20分钟。

第1卷(选择题，共90分)

听力部分(第一节)

I．听句子，选出句子中所包含的信息。(共6小题，每小题1分，计6分)

1. A. $9. B. $19. C. $90.

2. A. Austria. B. Australia. C. America.

3. A. This afternoon. B. Sunday afternoon. C. Saturday afternoon.

4. A. White shirt. B. Bright shirt. C. White skirt.

5. A. You will fail the exam.

B. Prepare for the exam or you'll fail it.

C. The exam is too difficult.

6. A. I bought a bag of salt for Mom.

B. My mom went shopping today.

C. I didn't buy the salt we need.

Ⅱ．听句子，选出该句的最佳答语。(共6小题．每小题1分，计6分)

7. A. Thank you very much. B. I just have a look around.

C. Sorry, it's too expensive.

8. A. Thanks. It's a present from my mom.

B. Yes, do you like it?

C. That's my favorite color.

9. A. Of course. B. That's all right. C. Not at all. Please do.

10. A. Yes, it's a big trouble. B. I'm having a bad fever. C. Not at all.

11. A. Oh, they are right in the corner.

B. Turn left, and you'll see it on your right side.

C. I didn't see her today.

12. A. All right, I will. B. Nice to meet you. C. Thanks a lot.

Ⅲ．听对话和问题。选择适当的选项。(共6小题。每小题1分。计6分)

13. A. 18 ℃ B. 30℃. C. 38 ℃.

14. A. 9 years. B. 19 years. C. 6 years.

15. A. She is on her way to Japan.

B. She is staying with her parents.

C. She is meeting her parents at the station.

16. A. It's a very good one. B. It's too expensive. C. It's not his favorite.

17.

18.

Ⅳ．听对话，短文和问题，选择正确答案。

19. A. Brain Kenny. B. Brian Kenny. C. Brian Kennedy.

20. A. 211-8940. B. 271-8914. C. 217-8914.

21. A. He will call later. B. He will come later. C. He will meet Nancy later.

22. A. Walt Disney. B. Went to Deli. C. Days in Wales.

23. A. Because it's interesting.

B. Because he wants to read it on the bus.

C. Because he needs a phone number.

24. A. It was missing. B. Someone has borrowed it. C. It was sold out.

25. A. On the bus. B. In a bookshop. C. In the library.

26. A. January 5th. B. January 15th. C. July 15th.

27. A. The nose. B. The eyes. C. The hair.

28. A. Because Daniel didn't like school.

B. Because they disliked each other.

C. Because their parents wanted them to be more different.

29. A. They were dressed beautifully.

B. The speaker was in red and her brother was in blue.

C. The speaker was in blue and her brother was in red.

30. A. She likes sports. B. She is taller. C. She is better at study.

笔试部分

V．单项选择。(共20小题，每小题1分，计20分)

A)选择与句中中画线部分意思相同或相近的词或短语。

31. We got to the cinema late because of the busy traffic.

A. large B. light C. heavy D. big

32. Look out, David! A car is coming.

A. Be careful B. Look outside C. Look around D. Look back

33. Do remember me to your family when you get back home. I miss your parents very much.

A. show welcome to B. say good-bye to

C. say hello to D. write to

34. The Smiths are watching the men's table tennis match after dinner.

A. Mr Smith B. The Smith C. Smiths D. The Smith family

35. I couldn't come up with a good excuse for being late.

A. think of B. put up C. get D. say

B)选出可以填入空白处的最佳选项。

36. It is over________from Shijiazhuang to Beijing.

A. three hours' drive B. three hour's drive

C. three hours' drives D. three hours drive

37. Write________and try not to make any mistakes.

A. as careful as possible B. as carefully as you can

C. most careful D. more careful

38. It's not always necessary to look up the words________the dictionary while

reading. Sometimes we need to guess.

A. on B. in C. at D. from

39. Oh, Danny. It's raining outside, You'd better________your raincoat.

A. put on B. put up C. dress D. to wear

40. We've got two TV sets, but________works well.

A. any B. both C. either D. neither

41. We have worked for three hours. Now let's stop________a rest.

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

42. Oh, this is really a big shop. Do you know when it________?

A. built B. was built C. has built D. has been built

43. So________homework really makes the students feel tired.

A. much B. many C. little D. few

44. —Tell him about the news when he________,John.

—Yes, I will.

A. comes B. will come C. would come D. is coming

45. I told you not to be late again, John,________I?

A. do B. did C. don't D. didn't

46. This is a big class? and________of the students are girls.

A. two third B. second three C. two thirds D. two three

47. —Remember, boys and girls. ________ you work, ________ result you will get.

—We know, Miss Gao.

A, The better, the harder B. The harder, the better

C. The hard, the better D. The harder, the good

48. I tried to call you________I heard from him, but you were not in.

A. since B. while C. until D. as soon as

49. It _________ten years since we last.________in Beijing.

A. was, met B. has been, met

C. wa^s, meet D. is, meet

50. —Could you tell me________tomorrow morning?

—Well, it will start at 9 : 00 o'clock.

A. when the meeting will start B, where will the meeting start

C. where the meeting starts D. when the meeting would start

Ⅵ．完形填空。(共10小题。每小题1分，计10分)

阅读下面短文，掌握其大意，然后从各小题所给的四个选项中选出最佳选项。

When learning new vocabulary, don't just memorize(记住) a list of words. Instead, try to 51 five sentences using each new word. Then use the new word as often as you can 52 day you learn it. This 53 you will remember new words much longer.

Practising sounds, you know, is , 54 —the "th“ sound for example. Choose words that begin 55 “th" and repeat them over and over again 56 you are comfortable with them. Let' s try! This, that, those, them, think, thought, through, thin, thick...

Read, read, read—in, English, of course! Reading is one of the best ways to increase your vocabulary 57 improve your grammar in a natural and fun way. Be 58 to choose topics (话题) or books you are interested in.

When someone is talking in English, 59 the main point. If you hear a word you don't understand, ignore(忽略) it and go on listening. If you stop and think about the word, you will 60 everything else the person is saying.

Always remember—Practice makes perfect.

51. A. say B. make C, remember D. speak

52. A. the first B. the second C. each D. some

53. A. day B. time C. way D. word

54. A. difficult B. terrible C. funny D. easy

55. A. with B. from C. at D. in

56. A. when B. after C. until D. since

57. A. but B. so C. or D. and

58. A. quick B. sure C. important D. necessary

59. A. look for B. see C. listen for D. hear

60. A. miss B. guess C. get D. catch

Ⅶ．阅读理解。(共15小题。每小题2分，计30分)

阅读A、B两篇材料，然后从各小题所给的四个选项中选出最佳选项。

Hours and Admission

Monday-Thursday; 10 : 00 a. m. ~ 5:00 p. m. Friday: 10:00 a. m, ~ 8 - 00 p. m.

Saturday: 10 : 00 a. m. —5 : 00 p. m.

Sunday: 11 : 00 a. m. ~ 5 - 00 p. m.

Closed on Thanksgiving day and Christmas day.

The Museum Shop is open during regular (正常的) museum hours.

Admission (费用) to the shop is always free.

The Museum Library is open Monday-Friday 10 : 00 a. m. ~5 : 00 p. m.

The Skyliner Restaurant is open during regular museum hours Monday through

Saturday, and from 11 : 30 a. m. to 5 : 00 p. m. on Sunday.

Adults(成年人) : $ 7. 00

The aged and students with ID: $ 6. 00

Children ages 2 to 17 - $ 5. 00

Children younger than 2: free

Strong Museum members:free

Strong Museum offers a 50% discount(打折)to groups of 20 or more.

61. Strong Museum usually opens________.

A. Monday through Thursday

B. every day except Wednesday

C. from Monday to Friday

D. every day of the week

62. You can have dinner in Strong Museum________on Fridays.

A. from 10:00 a. m. to 8:00 p. m.

B. from 10:00 a. m. to 5 : 00 p. m.

C. from 11:30. a. m. to5:00p. m.

D. at any time of the day

63. If you are a group of 30 students with ID visiting Strong Museum, how much should you pay for the admission?

A. $105. B. $90. C. $210. D. $180.

64. According to the advertisement (广告) above, which of the following is TRUE?

A. Children to Strong Museum are free.

B. An adult visiting Strong Museum should pay $ 7. 00.

C. The museum is open all the year round.

D. The aged people are free to Strong Museum.

65. Which is the best that can be used in the advertisement for Strong Museum?

A. Strong Museum—an Exciting Place for Adults

B. Strong Museum—Children's World for Fun

C. Welcome to Strong Museum for a Long Holiday

D. Strong Museum—the Best Place to Spend Your Day

To: Aggie? yahoo. com From: Joe $ heinfo. net

Subject:Help! Date:21/06/2005 10:02 AM

Dear Aunt Aggie,

I'm having a problem with my classmate, Rena, at school. The other day I wrote an email to another classmate, Beth, in which I said some things about Rena that perhaps weren't very nice. Unluckily, when Beth was writing back to me, she accidentally forwarded(无意间转发) the message to Rena! Now Rena is really angry with me and won't talk to me, and Beth is unhappy as well. She's said sorry to me a hundred times already, but the harm is done. I feel bad, because I never would have said those things to Rena's face, but how do I get her to forgive(谅解 ) me? What should I do? Joe

To;joe?heinfo. net From: Aggie? yahoo, com

Subject:Some advice Date:22/06/2005 10 : 45 AM

Dear Joe,

This problem is more common than you might think! Email is very useful, but also very dangerous, as you don't know where your message might end up! First of all, you should say sorry right away to Rena. Explain that it was a mistake, and that you didn't mean to hurt her feelings. It may take time for her to be able to forgive you, but that's up to her. Then you might want to do something nice for her. Perhaps send her some flowers to show that you're truly sorry. Also, you should remember that old saying:" If you don't have anything nice to say, don't say anything at all. " And good luck! Aggie

66. What is Joe's problem in the first email?

A. Joe made Rena unhappy and he felt very sad.

B. Joe's classmate, Rena, sent Beth an email and made her unhappy.

C. Joe received a wrong email from Rena and became angry.

D. Joe's friend, Beth, is unhappy because Joe sent her an angry email.

67. After Rena's feelings got hurt, what did Joe do? A. He emailed her and said sorry.

B., He asked Beth what he should do.

C. He emailed Aunt Aggie for help.

D. He said sorry to Rena face to face,

68. What does the underlined(画线的) sentence mean in the second email? It means"________".

A. because you don't know who the email is for

B. because you can never know who will get your email at last

C. because you don't know where your email was written

D. because you never know where the message is from

69. What advice did Aggie give Joe?

A. Joe, Beth and Rena should have a talk together.

B. Joe should wait for some time before saying sorry to Rena.

C. Joe should ask Beth to explain(解释) that to Rena.

D. Joe Should say sorry to Rena* and then send her some flowers.

70. From the emails, we know that________.

A. Joe, Rena and Beth study at different schools

B. Beth didn't forward the message to Rena

C. Joe has said sorry to Rena many times already

D. Rena hasn't forgiven Joe yet

阅读下面短文，把A～D四个句子填入文中空缺处(71～74)，使短文内容完整正确，然后完成第75题。

Babies sleep for up to eighteen hours a day. Sleep. No one can live without it. 71 Research (研究) by the National Sleep Foundation in Washington says that we all need eight hours' sleep every night. Scientists have found that people who sleep for less than six and a half hours a night are more often ill than people who sleep for eight hours. 72 "Workaholics" (工作狂) who sleep for less than five hours often die young, and do less well at work.

It also says that the idea that we need less sleep as we get older is untrue. " People have no idea how important sleep is to their lives," Dr. Thomas Roth, director of the Foundation says. " 73 ".

. "But not too much of it,” says Professor Jim Home. "Sleep is like food and drink," he believes:" 74 "Professor Home studied a group of people who could spend as many hours as they wanted in bed; after ten hours they didn't find it any easier to get up in the morning. And people who sleep for more than nine hours a night die younger than people who usually sleep for seven or eight.

A. But how much do we really need?

B. You would always like to have a little bit more, but that doesn't mean you need it.

C. Good health needs good sleep.

D. Going without sleep also increases the chance of illness.

75. What's the best title for this passage?

A. Children and Sleep

B. The Secrets of Sleep

C. Sleep and Work

D. Are You Having Enough Sleep?

第Ⅱ卷(非选择题；共30分)

听力部分(第二节)

Ⅷ．听短文填空。(共5小题。每小题2分，计10分)

Information Sheet Time now:6: 00 a. m. Weather information:

snow has been falling since(76)______________.

Suggested (建议的) ways of transportation(交通):

(77)______________.

Affection ( 影响 ) to the schools:

Some schools in the countryside(78)______________.

More information about the weather:

Snow will last for (79)____________.

Time for the next news. (80)____________.

笔试部分

Ⅸ．词汇。(共5小题，每小题1分，计5分)

根据下列句子的意思及所给的汉语提示，写出空缺处单词的正确形式(每空一词)。

81. Every teacher_______(希望) the students to study hard to make progress.

82. Keep________(微笑) and have a happier, healthier and better life.

83. There are so many new words in the________(二十九) lesson. It's hard to

understand.

84. Science is one of my favorite (科目). What about you?

85. Where is Jim? I’m afraid he has________ (忘记) we'll have a meeting this

afternoon.

X．书面表达。(共计1 5分)

在一次英语班会上，老师请同学们以“Proud of My School”为主题发言。请根据下面所给的提示写一篇发言稿。字数要求在80～100词之间。文中不得出现真实的人名、地名

提示: ①What does your school look like? ②What fun do you have at school? ③Why do you like your school?

Proud of My School

河北省答案

l.C 2. B 3. B 4. A 5. B 6. C 7. B 8. A 9. C 10. B 11. B 12. C 13. C 14. A 15. B 16. B 17. C 18. A 19. C

20. B 21. A 22. A 23. C 24. B 25. C 26. A 27. C 28. C 29. B 30. C

31. C 32. A 33. C 34. D 35. A 36. A 37. B 38. B 39. A 40. D 41. C 42. B 43. A 44. A 45. D 46. C 47. B 48. D 49. B 50. A

51. B 52. A 53. C 54. A 55. A 56. C 57. D 58. B 59. C 60. A 61. D 62. A 63. B 64. B 65. D 66. A 67. C 68. B 69. D 70. D 71. A 72. D 73. C 74. C 75. B 76. yesterday afternoon 71. Take/take a/the bus or take a/the train或 By/by bus or by train

78. (are)closed 或 are not open

79. at least/more than/about two/2 days

80. (At/at)8 : 00/8/Eight/eight(o'clock)

81. wishes/expects

82. smiling 83. twenty-ninth

84. subjects 85.forgotten.

书面表达

One possible version.-

Proud of My School

My school is very big with several tall buildings. There are 2 000 students in my school. We have a big playground with lots of trees around it. There are a lot of flowers everywhere.

We.have lots of fun at school. After class we play games and do lots of sports, like playing basketball, football and table-tennis. Sometimes we have class meetings. They are very interesting.

I love my school because it's like a big family. The teachers in my school are as kind to us as our parents. I feel proud of my school because it is one of the best schools in my heart.

听力材料

1. I can't believe this shirt cost ninety dollars.

2. My best friend, Paul, is from Australia.

3. Do you think you can come this Sunday afternoon?

4.1 hope Dad will like this white shirt we bought him.

5. You may fail this exam if you don't spend some time preparing for it.

6. My mom asked me to buy her a bag of salt, but I forgot all about it.

7. What can I do for you?

8. What a nice dress you' re wearing, Jackie!

9.I'm sorry, but would you mind if I open the window?

10. What seems to be the trouble?

11. Excuse me. Where's the ladies' room?

12. John asked me to give this message to you.

13. W：Oh, it's too hot today.

M: Yes, the radio says it's 38 ℃. Q: What is the temperature today?

14. W: This is a picture of mine with my brother and sister. M: Is your brother older than your sister?

W: Yes, much older He's 26.

M: And how old is your sister?

W: She's 17.

M: That's a big difference.

Q: What is the age difference between her brother and sister?

15. M: What are you doing in Tokyo? W: I'm visiting my parents.

Ms Really!

Q: What is the woman doing now?

16. M: How much did you pay for it? W: 200 dollars.

M: 200 dollars for a CD like that? I can't believe it!

W: What do you mean?

M: It's not worth it.

Q: What does the man think of the CD?

17. M: I never quite like bananas. What about you, Mary?

W: Me? I do. But not pears. I hate pears. We eat lots of grapes every year.

That's my favorite.

M: I know. Your family has a grape yard.

Q: What does Mary like to eat best?

18. M: I'm looking for Janet.

W: Oh, there she is. She's wearing a long dress. And she's got glasses.

M: Does she have long hair?

W: No, it's not really long.

M: Thanks a lot.

Q: Which one of the following is Janet?

19. W: Hello. This is Nancy's house. But Nancy's not home.

M: Oh, I see. Can I leave a message, please?

W: Yes, I'm ready.

M: Thanks. This is Brian calling. Brian Kennedy.

W. Is that B-R-I-A-N K-E-N-N-E-D-Y?

M: Yes, and my number is 271-8914.

Wj 271-8914. OK. And will you call again later?

M, Yes, I will.

Question No. 19. Who called Nancy?

Question No. 20. What is the man's telephone number?

Question No. 21. What do we know about the man?

20. W: Excuse me. Are you looking for something?

M: Yes, I'm looking for a book named Walt Disney.

W: You can ask the woman with long hair over there. She will help you.

M: I did, but I couldn't find it.

W: The book must have been borrowed by someone else.

M: When will it be back? I need it right away.

W: Want to read it again? Do you think it is so interesting?

M;. No, but when I was taking it home the other day, I met a classmate on the bus, and I wrote her telephone number on a piece of paper and put it in the book- When I returned it yesterday, I forgot all about it. I need to call her now.

W:Oh, I see.

Question No. 22, What book is the man looking for?

Question No. 23. Why is the man looking for the book?

Ques

2014河北省中考数学试题出的怎么样

统一。根据查询河北省教育厅官网可知，河北省中考实施全省统一命题，考试试卷由省教育考试院统一出题，统一印制，统一组织，统一阅卷和登统。中招考试即“初中毕业和高中阶段招生考试”，是选拔考试，但又是建立在义务教育基础上的选拔。

2014年河北省中考数学试卷分析

一、试题总体特点

2014年河北省中考数学试卷在形式上和2013年河北省中考数学试卷接近，但在考查内容和考查角度上与2013年中考数学试卷有很大不同，试题整体难度比2013年中考数学试卷偏低。可以说是应试试卷下的一次非应试尝试。

从考查形式上看2014年中考数学试卷依然是选择题、填空题、解答题三大板块，分值和去年一样是42、12、66的分布，题量也和去年一样是16、4、6的分布，不同的是解答题的分值由去年的9、10、10、11、12、14变为今年的10、10、11、11、11、13，分值分布更均衡。

从考查内容和考查角度上看2014年中考数学试卷的变化主要有以下几个方面：

1、常规大题小问化。

取消传统的函数应用题，整套试题没有应用题，这会令很多学生非常不适应，全国各地近年的中考模考题目压轴题必出函数应用题，学生们已经习惯了有个应用题的大题。2014年河北省中考数学试卷是将应用题以小问的形式呈现，在选择题第9题、解答题第22题第3问、解答题第26题第4大问都用到了应用题的解题思路，出现了应用题的形式。这种考查形式知识覆盖面广，涉及一次函数、二次函数应用题，涉及利润类、行程类、运输类应用题，考查全面而基础。再比如第22题第3问和第25题第2问中涉及的解直角三角形也是传统常规大题的考查形式。

2、核心考点平淡化。

对于数与式中的解方程、解不等式，空间图形中的四边形性质、圆的性质、切线判定，函数中的函数与空间图形结合，动态几何问题等常规核心考点未做特别考查，选择填空题的小切口命题、解答题的以点带面命题，都体现了这一特点。而压轴题中涉及的核心考点也比较少，最后一道大题涉及纯数学知识的内容则更少。

3、数学知识生活化。

数学作为一门应用学科主要是为了解决实际问题的，之前常规的函数与空间图形结合，动态几何问题等问题更多的是就数学知识解决数学问题，此套试题的26题实际上是将数学知识和生活常识结合起来考查解决生活实际问题，有力驳斥了近年流行的数学无用论、买菜不用函数等论调，回归到数学学习本质是思维学习，是为提高学生逻辑思维能力和归纳分析能力的目的。

从这些变化中可以看出，命题组在尝试在此类带有指挥棒性质的选拔性考试中探索一条脱离应试的考查数学知识和能力的考试，是一次伟大的探索。

二、典型试题评析

1、选择题

1-16题为选择题，1~6小题每小题2分，注重基础的考查；7~16小题每小题3分，注重基础知识的灵活运用。选择题知识覆盖面广，多为大框架内的小切口命题，除第8题、第12题、第15题比较灵活需要转化外其他题目难度均不大，整体难度较低。

第1题是固定的有理数基础；第2题简单直接地考查中位线性质；第3题改变整式运算的一贯考法，让考生选择运算结果而不是选择运算正确的选项，和2012年问数在不在不等式组的解集内一样，角度独特，第4题在非封闭的图形内考查外角，需要学生有一定的转化能力；第5题是常规的实数估算；第6题考查根据一次函数图像确定斜率，同时涉及解不等式组及在数轴上表示不等式组的解集，考查内容基础而全面；第7题为分式化简题，此题多年来是河北省中考解答题第1题的常用题型，分母相同，难度不大；第8题将矩形分割切成正方形关键在于找到两线切成三块的切法从而确定3、4、5的可行性；第9题可以理解为小应用题，根据已知条件确定二次函数系数；第10题将展开图折起来即可，若D选项改为可能会有看题不细心的考生误选；第11题将概率与频率结合在一起考查概率计算，1题靠4次计算；第12题沿袭从2012年开始的选择题考查尺规作图问题考查中垂线性质，得出PA=PB是关键；第13题考查相似图形的判定，需要抓住相似图形边长成比例；第14题带入求值确定反比例函数k值，注意需要分类讨论；第15题考查角度新颖，需要学生熟悉正六边形的特点，整体求值；第16题通过根据中位数和众数确定一组数据中的其他数来考查中位数、众数的定义，角度很好，难度不大。

2、填空题

第17-20为填空题，填空题除第20题容易算错外其他题目难度均不大。

第17题为实数运算题目，比较基础；第18题为带值运算，绝对值、平方数的非负性初中阶段考查很多，学生都比较熟悉，第17题和第18题可以理解为常规解答题第1题的计算里实数混合运算的分解；第19题考查扇形面积计算的推导公式，考生记住这个公式计算即可；第20题为固定的选择题最后一题考的归纳猜想问题，逐步用科学计数法表示计算即可，不出现运算错误都能算出结果。

3、解答题

第21-26题为解答题，

第21题考查配方法解一元二次方程、平方根的定义、一元二次方程求根公式。数学公式的推导应用是数学学习的重点，但在教学和考试中涉及较少，配方法推导一元二次方程求根公式、求根公式推导韦达定理、求根公式推导根的判别式与根的个数的关系等都是学生可以推导的，此题沿袭2013年第22题的考法以学生日常容易犯的错误让学生自己找错误，出题角度比较好。整体来看是对基础公式、定义和计算的考查。此题原型为2013年保定市初中数学教师资格证笔试题目。

第22题为固定的统计概率考查，考查平均数计算、扇形统计图和解直角三角形。统计概率与其他版块知识结合考查解答题近两年已被很多省市中考试题接受，这样可以在不改变统计概率分值占比的前提下使考查范围更广，题目分值更合理。此套试题在第11题和第16题分别考查了概率和统计。第1问直接根据平均数定义运算，第2问是常规的统计图问题，第3问可以理解为小应用题，带值计算即可。此题难度不大，考查比较基础。

第23题为空间图形证明，第1问的证全等和第2问的求角度比较好入手，用简单常规的方法证明，第3问把握住先证平行四边形再证菱形的递进式证明思路，运用第2问的角度相等得平行，再结合全等得另一边平行即可，第3问有一定的思维难度。此题梯度明显，第1、2问比较基础，第3问体现试题的区分度。

第24题主要考察待定系数法求二次函数解析式，第1、2问待定系数法一设二列三解四回即可，配方法求顶点，带点法验证点是否在图像上，第3问根据抛物线的特点直接得出满足条件的抛物线条数。试题整体难度不大，从审题到思维到计算都比较基础。可以结合动点问题进一步考查直线外同侧两点到直线上一点距离和最短、垂直坐标轴线段的长度计算、面积问题和点的存在性问题等问题。

第25题为圆的计算问题，第1问根据垂径定理求弦心距、根据切线得垂直得OBP角度，第2问根据切线性质找角度解直角三角形，第3问根据切线定义运用极限法求解，注意将AB与的夹角转化为角ABP。此题整体难度适中，需要学生能够灵活运用三角函数转化边角关系。

第26题为空间图形动点题，但是是以生活实例的形式呈现的，这种出题形式在近两年的解直角三角形题目中出现较多，在动点问题里出现还很少。抓住两车位置关于CA的相对对称性确定同一时刻两车位置是关键，第一问注意审清题目分类讨论，第2问在理解运动过程的基础上结合两车关于CA对称可求解，第3问需要分别求出在游客刚好错过2号车时1号车的位置和刚好错过1号车时2号车的位置，进而得到1号车、2号车到达A点的路程，路程长则时间多，第4问要理解刚好与2号车迎面相遇的意思，确定1、2号车大概位置和剩余路程就能比较，根据PA求出步行和乘1号车需要的路程和时间分类讨论进行方案选择。此题梯度明显，需要学生有较强的逻辑思维能力和空间想象能力，能将生活实际问题问题转化为路程时间问题，同时考查学生建立数学模型解决数学模型的能力。

三、知识点与分值分布

题号

考查内容

解题关键点