题目列表(包括答案和解析)
(本题12分)已知某种从太空带回的植物种子每粒成功发芽的概率都为
,某植物研究所分两个小组分别独立开展该种子的发芽实验,每次实验种一粒种子,假定某次实验种子发芽则称该次实验是成功的,如果种子没有发芽,则称该次实验是失败的.
(1) 第一小组做了三次实验,求实验成功的平均次数;
(2) 第二小组连续进行实验,求实验首次成功时所需的实验次数的期望;
(3)两个小组分别进行2次试验,求至少有2次实验成功的概率.
书面表达 (满分12分)
假设你学校的“英语爱好俱乐部”将对“良好饮食习惯”这一话题进行讨论。请根据下列提示,用英语写一篇发言稿。内容要点应包括:
| 部分同学的饮食习惯 | 良好的饮食习惯 | 个人看法 |
| 不爱吃早餐 爱吃零食 偏食 饮食过量 | 饮食多样化 饮食定时定量 |
注意:
发言稿必须包括所有内容要点,可适当发挥。
发言稿开头与结尾已为你写好,不计入总词数。
词数120左右。
参考词汇: 挑食: be particular about food 零食:snack
friends
As we all know, we are what we eat. _______________________________________________________
_________________________________________________________________________________________
_________________________________________________________________________________________
That’s all. Thank you for listening.
第四节:书面表达(满分12分)
某期中学生报的“热点话题”专栏讨论的主题是“上大学是高中生的唯一选择吗?”你班同学就此话题进行了热烈讨论。请根据以下内容用英语给该专栏的编辑写一封信,介绍讨论结果,并发表你的个人意见。
| 观点 | 80%的学生认为应该上大学 | 20%的学生认为不必上大学 |
| 原因 | 能够增长知识 提高自身的品质 利于择业… | 大学的学费昂贵 毕业后就业困难… |
注意: 1. 信的开头已给出,但不计入总词数;
2. 词数:100左右。
Dear Editor,
The students in our class had a discussion about whether the only way for senior high students to succeed is to go to college.
___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
Yours sincerely,
Li Hua
单词拼写(共 12小题;每小题 1 分,满分12分)
1.His father is an a______ so he is always busy with designing buildings.
2.We s_____, although others died in the disaster.
3.There are many _____(古代的) buildings in Rome.
4.It’s ______(绝对的) impossible for them to finish the task in just one day’s time.
5.She is c_______ about her son’s future.
6.The room _____(测量) five meters across.
7.You’d better stop a_____ with Bill because he will never change his mind.
8.Teaching him Greek was a painful _____(过程).
9.The street was ____(拥挤的) with people and the traffic was held up.
10.The flat can a_____ a family of five.
11.Now, there is no library in our school, but it will be under _____ (建设) in a month.
12.S_____ in the center of the city, the shopping mall is full of people even on weekdays.
完形填空 I :阅读下面短文,掌握其大意,然后从各题所给的四个选项中,选出最佳选项。(共12个小题;每小题1分,满分12分)
A businessman was on a business trip to Tokyo. One day he went to 29 some gifts for his employees (雇员) back in his country. He 30 a supermarket. A lady smiled and welcomed him. He was very touched, and felt good .Because he was not able to 31 the warmth of her smile, he was watching her as he was 32 . She was giving the same 33 to all the people who walked into the supermarket.
The businessman started thinking if she hated doing the same thing. So he asked, “My dear lady, are you 34 of doing this job?” The lady smiled and said, “No, sir, I have 35 here for the last 10 years and I love my job.
” The businessman was surprised and asked, “Why have you stayed here for ten years, and why do you like your job 36 much?” The lady said, “Because I am doing something good for my 37 .” The businessman found this interesting. He asked, “Why?” The lady said, “As most of our customers are 38 , they spend foreign currency here. So our country has a lot of money and becomes richer. People who are happy with our service will 39 _____ more often and spend more money in our country.”
Surprised by her 40 , the businessman thanked her. After returning to his own country he worked hard to introduce the same attitude (态度) to his workers, and today his company is one of the best companies in the world.
29. A. buy B. order C. make D. pay
30. A. opened B. cleaned C. entered D. checked
31. A. require B. enjoy C. hide D. forget
32. A. traveling B. working C. singing D. shopping
33. A. feeling B. smile C. warmth D. watching
34. A. fond B. tired C. proud D. afraid
35. A. stood B. learned
C. worked D. lived
36. A. so B. very C. even D. enough
37. A. home B. country C. supermarket D. boss
38. A. millionaires B. managers C. strangers D. foreigners
39. A. praise B. visit C. talk D. save
40. A. action B. service C. attitude D. help
1.C 2.A 3.B 4.D 5.C 6.B 7.D 8.C 9.B 10.A
11.120° 12.3x+y-1=0 13.
14.10 15.100 16.(1),(4)
17.解:(1)设抛物线
,将(2,2)代入,得p=1. …………4分
∴y2=2x为所求的抛物线的方程.………………………………………………………5分
(2)联立
消去y,得到
. ………………………………7分
设AB的中点为
,则
.
∴ 点
到准线l的距离
.…………………………………9分
而
,…………………………11分
,故以AB为直径的圆与准线l相切.…………………… 12分
(注:本题第(2)也可用抛物线的定义法证明)
18.解:(1)在△ACF中,
,即
.………………………………5分
∴
.又
,∴
.……………………
7分
(2)


. ……………………………14分
(注:用坐标法证明,同样给分)
19.
解法一:(1)连OM,作OH⊥SM于H.
∵SM为斜高,∴M为BC的中点,∴BC⊥OM.
∵BC⊥SM,∴BC⊥平面SMO.
又OH⊥SM,∴OH⊥平面SBC.……… 2分
由题意,得
.
设SM=x,
则
,解之
,即
.………………… 5分
(2)设面EBC∩SD=F,取AD中点N,连SN,设SN∩EF=Q.
∵AD∥BC,∴AD∥面BEFC.而面SAD∩面BEFC=EF,∴AD∥EF.
又AD⊥SN,AD⊥NM,AD⊥面SMN.
从而EF⊥面SMN,∴EF⊥QS,且EF⊥QM.
∴∠SQM为所求二面角的平面角,记为α.……… 7分
由平几知识,得
.
∴
,∴
.
∴
,即所求二面角为
. ……………… 10分
(3)存在一点P,使得OP⊥平面EBC.取SD的中点F,连FC,可得梯形EFCB,
取AD的中点G,连SG,GM,得等腰三角形SGM,O为GM的中点,
设SG∩EF=H,则H是EF的中点.
连HM,则HM为平面EFCB与平面SGM的交线.
又∵BC⊥SO,BC⊥GM,∴平面EFCB⊥平面SGM. …………… 12分
在平面SGM中,过O作OQ⊥HM,由两平面垂直的性质,可知OQ⊥平面EFCB.
而OQ
平面SOM,在平面SOM中,延长OQ必与SM相交于一点,
故存在一点P,使得OP⊥平面EBC. ……………………… 14分
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