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一、选择题:本大题共12小题,每小题5分,共60分。
BBDD CABC BCDB
二、填空题:本大题共4小 题,每小题4分,共16分。
13.8500
14.
15.
16.①③
三、解答题:本大题共6小题,共74分。
17.解:(I)依题意,
由正弦定理及 3分
6分
(II)由
由(舍去负值) 8分
从而, 9分
由余弦定理,得
代入数值,得
解得 12分
18.解:(I)随意抽取4件产品进行检查是随机事件,而第一天有9件正品,
第一天通过检查的概率为错误!嵌入对象无效。 2分
第二天通过检查的概率为 错误!嵌入对象无效。 4分
因为第一天、第二天检查是否通过是相互独立的,
所以两天全部通过检查的概率为错误!嵌入对象无效。 6分
(II)记所得奖金为元,则的取值为-300,300,900 7分
10分
(元) 12分
19.解:(I)如图,以AB,AC,AA1分别为轴,建立空间直角坐标系
则 2分
从而
所以 3分
(II)平面ABC的一个法向量为
则
(※) 5分
而
由(※)式,当 6分
(III)平面ABC的一个法向量为
设平面PMN的一个法向量为
由(I)得
由 7分
解得 9分
平面PMN与平面ABC所成的二面角为45°,
解得 11分
故点P在B1A1的延长线上,且 12分
20.(本小题满发12分)
解:(I)由题设知 1分
同时
两式作差得
所以
可见,数列
4分
(II) 5分
7分
(III)
9分
①当
解得符合题意,此时不存在符合题意的M。 10分
②当
解得此时存在的符合题意的M=8。 11分
综上所述,当时,存在M=8符合题意 12分
21.解:(I)因为
所以
因为上是增函数。
所以上恒成立 1分
当
而上的最小值是-1。
于是(※)
可见
从而由(※)式即得 ① 4分
同时,
由
解得②,
或
由①②得
此时,即为所求 6分
注:没有提到(验证)时,不扣分。
(II)由(I),
于是 7分
以下证明(☆)
(☆)等价于 8分
构造函数
则时,
上为增函数。
因此当
即
从而得到证明。 11分
同理可证 12分
注:没有“综上”等字眼的结论,扣1分。
即 2分
由
则
所以(※) 4分
又因为
则
代入(※)式得
可见,无关。 6分
(II)如图,设
由(I)知 7分
又
所以 8分
将点A的坐标代入曲线C1的方程得
则 10分
当且仅当“=”成立时,有 11分
解得 14分
第Ⅱ卷
注意事项:
第二卷用碳素笔直接答在答卷纸上。
答卷前将密封线内的项目填写清楚。
第四部分:书面表达(共两节,满分45分)
第一节 阅读表达:
阅读下面的短文,并根据短文后的要求答题(请注意问题后的词数要求。答案写在答卷纸上)
Learning to save money when you're young is an important lesson. All good lessons and habits begin early, and saving is a skill that everyone needs. Many people—adults included—do not have a good sense of saving for the long run.
I have been lucky to learn this lesson early because I have had a grass-cutting business since I was 10 years old. Of the money I make I spend about 10 percent and save the other 90.
Making sure you save and don't spend too much is a good way to build up wealth. I have put my earnings in a bank. Many teens I know spend all the money they earn so it never has a chance to grow. Young people should realize that their teenage years are a great time to begin saving.
At high school many parents pay for almost everything, so your expenses can be small. If you have a job, you should have fun with some of the money. But you should also save some so that it will grow. Then you can begin planning for your future. When you spend money, you not only lose that money, but also lose the interest you could have earned by saving it.
After high school, college is expensive and then "real" life begins, with expenses such as food and rent. If you can hold onto a good percentage of the money you earn as a teen, going to college and buying a house will be much easier. ________________, the more time the money has to grow. If you are in your thirties without any savings, you will always have to struggle. The earlier you begin saving, the easier it is to create a nest egg.
Later in life it can be hard to start saving because general costs of living are more expensive and you may only have enough to pay your bills. If you want to buy a house and have a family, you need money to start with, which comes from saving.
Many say money cannot make you happy, and this is true. But money can help you to lead a secure life.
Saving early will mean you will have to work for fewer years when you are older. It will also allow you to spend time doing the things that you want to do.
In addition to this, it will mean you can live the way you want to without worrying.
76. What’s the best title of the passage?
_______________________________________________________________________________
77. Which sentence in the passage is the closest in meaning to the following one?
As long as you save early, you’ll do less work to live well at your old age.
_______________________________________________________________________________
78. Please fill in the blank in the passage with proper words or phrases to complete the sentence.(within 10 words)
_______________________________________________________________________________
79. According to the passage, what do you think of saving? (within 30 words)
___________________________________________________________________________
80. Translate the underlined sentence into Chinese.
___________________________________________________________________________
查看习题详情和答案>>第Ⅱ卷
注意事项:
第二卷用碳素笔直接答在答卷纸上。
答卷前将密封线内的项目填写清楚。
第四部分:书面表达(共两节,满分45分)
第一节 阅读表达:
阅读下面的短文,并根据短文后的要求答题(请注意问题后的词数要求。答案写在答卷纸上)
Learning to save money when you're young is an important lesson. All good lessons and habits begin early, and saving is a skill that everyone needs. Many people—adults included—do not have a good sense of saving for the long run.
I have been lucky to learn this lesson early because I have had a grass-cutting business since I was 10 years old. Of the money I make I spend about 10 percent and save the other 90.
Making sure you save and don't spend too much is a good way to build up wealth. I have put my earnings in a bank. Many teens I know spend all the money they earn so it never has a chance to grow. Young people should realize that their teenage years are a great time to begin saving.
At high school many parents pay for almost everything, so your expenses can be small. If you have a job, you should have fun with some of the money. But you should also save some so that it will grow. Then you can begin planning for your future. When you spend money, you not only lose that money, but also lose the interest you could have earned by saving it.
After high school, college is expensive and then "real" life begins, with expenses such as food and rent. If you can hold onto a good percentage of the money you earn as a teen, going to college and buying a house will be much easier. ________________, the more time the money has to grow. If you are in your thirties without any savings, you will always have to struggle. The earlier you begin saving, the easier it is to create a nest egg.
Later in life it can be hard to start saving because general costs of living are more expensive and you may only have enough to pay your bills. If you want to buy a house and have a family, you need money to start with, which comes from saving.
Many say money cannot make you happy, and this is true. But money can help you to lead a secure life.
Saving early will mean you will have to work for fewer years when you are older. It will also allow you to spend time doing the things that you want to do.
In addition to this, it will mean you can live the way you want to without worrying.
76. What’s the best title of the passage?
_______________________________________________________________________________
77. Which sentence in the passage is the closest in meaning to the following one?
As long as you save early, you’ll do less work to live well at your old age.
_______________________________________________________________________________
78. Please fill in the blank in the passage with proper words or phrases to complete the sentence.(within 10 words)
_______________________________________________________________________________
79. According to the passage, what do you think of saving? (within 30 words)
___________________________________________________________________________
80. Translate the underlined sentence into Chinese.
___________________________________________________________________________
查看习题详情和答案>>第Ⅱ卷 (共45分)
注意事项:
1.用黑色或蓝色钢笔、圆珠笔直接答在试卷上。
2.答卷前将密封线内的项目填写清楚。
第四部分:书面表达(共两节,满分45分)
第一节:阅读表达(共5小题;每小题3分,共15分)
阅读下面的短文,并根据短文后的要求答题。(请注意问题后的词数要求)
[1]It seems parents have long been right. Going to bed early is key to getting enough sleep and helping adolescents feel on top of the world, a new study reported.
[2]A lack of sleep among youngsters may trigger depression and suicidal thoughts, according to the study by the Columbia University Medical Center.
[3]"Our results are consistent with the theory that inadequate sleep is a risk factor for depression, working with other risk and protective factors through multiple possible causal ways to the development of this mood disorder," said lead author James Gangwisch.
[4]"Adequate quality sleep could therefore be a preventative measure against depression and a treatment for depression," he added in the study published in the Friday issue of Sleep magazine.
[5]The study followed the nightly habits of some 15,659 college and high-school students, and found those who consistently turned in after midnight had a 24 percent higher risk of depression than those who before 10:00 pm. Night owls also ran a 20 percent higher risk of battling suicidal thoughts, the study added.
[6]The American Academy of Sleep Medicine recommends that adolescents should sleep at least nine hours or more a night. Those who were tucked in before 10:00 pm reported they slept on average about eight hours and 10 minutes. But that amount of sleep dropped significantly for those in bed after midnight.
[7]And adolescents who slept five hours or less a night were 71 percent more likely to suffer depression and 48 percent more at risk of becoming suicidal, the study said.
[8]"It is a common perception and societal expectation that adolescents do not need as much sleep as pre-adolescents. Yet studies suggest that adolescents may actually require more sleep." said Gangwisch.
[9]"Studies have found that adolescents do not go to bed early enough to make up for earlier school start time. And transitions to earlier school start times have been shown to be associated with significant sleep deprivation."
76. What’s the main idea of the passage? (Please answer within 8 words)
77. What theory are the study results similar to? (Please answer within 20 words)
78. Fill in the blank in Paragraph 5 with proper words. (Please answer within 6 words)
79. Which sentence in the text is the closest in meaning to the following one?
It’s widely accepted that the youngsters needn’t sleep as much as the child.
80. Translate the underlined sentence in Paragraph 9 into Chinese.
查看习题详情和答案>>
第Ⅱ卷 (共45分)
注意事项:
1.用黑色或蓝色钢笔、圆珠笔直接答在试卷上。
2.答卷前将密封线内的项目填写清楚。
第四部分:书面表达(共两节,满分45分)
第一节:阅读表达(共5小题;每小题3分,共15分)
阅读下面的短文,并根据短文后的要求答题。(请注意问题后的词数要求)
[1]It seems parents have long been right. Going to bed early is key to getting enough sleep and helping adolescents feel on top of the world, a new study reported.
[2]A lack of sleep among youngsters may trigger depression and suicidal thoughts, according to the study by the Columbia University Medical Center.
[3]"Our results are consistent with the theory that inadequate sleep is a risk factor for depression, working with other risk and protective factors through multiple possible causal ways to the development of this mood disorder," said lead author James Gangwisch.
[4]"Adequate quality sleep could therefore be a preventative measure against depression and a treatment for depression," he added in the study published in the Friday issue of Sleep magazine.
[5]The study followed the nightly habits of some 15,659 college and high-school students, and found those who consistently turned in after midnight had a 24 percent higher risk of depression than those who before 10:00 pm. Night owls also ran a 20 percent higher risk of battling suicidal thoughts, the study added.
[6]The American Academy of Sleep Medicine recommends that adolescents should sleep at least nine hours or more a night. Those who were tucked in before 10:00 pm reported they slept on average about eight hours and 10 minutes. But that amount of sleep dropped significantly for those in bed after midnight.
[7]And adolescents who slept five hours or less a night were 71 percent more likely to suffer depression and 48 percent more at risk of becoming suicidal, the study said.
[8]"It is a common perception and societal expectation that adolescents do not need as much sleep as pre-adolescents. Yet studies suggest that adolescents may actually require more sleep." said Gangwisch.
[9]"Studies have found that adolescents do not go to bed early enough to make up for earlier school start time. And transitions to earlier school start times have been shown to be associated with significant sleep deprivation."
76. What’s the main idea of the passage? (Please answer within 8 words)
77. What theory are the study results similar to? (Please answer within 20 words)
78. Fill in the blank in Paragraph 5 with proper words. (Please answer within 6 words)
79. Which sentence in the text is the closest in meaning to the following one?
It’s widely accepted that the youngsters needn’t sleep as much as the child.
80. Translate the underlined sentence in Paragraph 9 into Chinese.
查看习题详情和答案>>
第Ⅱ卷(共45分)
注意事项:
1.第II卷共4页。用0.5毫米黑色签字笔答在试卷的相应位置。
2.答卷前将密封线内的项目填写清楚。
第四部分 书面表达(共二节,满分45分)
第一节 阅读表达(共5小题;每小题3分,满分15分)
阅读下面短文,按要求完成76—80题。(请注意问题后的字数要求)。
Electronic devices(装置) are changing the way people listen to music. But studies show the devices may be causing hearing loss in many people. Some experts say people may be playing them too loud and too long. And experts say sound levels on these devices need to be set lower.
Researchers did a study with three hundred high school students and one thousand adults. They were asked about their use of portable music devices. Forty percent of the students and adults said they set the sound levels at high on their players. But students were twice more likely to play the music at a very loud volume(音量). More than half of the students said they would probably not limit their listening time.
The study found that more than half of the students and less than forty percent of the adults had at least one kind of hearing loss. Some reported difficulty hearing parts of a discussion between two people. Others said they had to raise volume controls on a television or radio to hear it better. And, some experienced ringing in their ears or other noises.
Hearing experts say part of the problem is the listening equipment people are using. They say large earphones that cover the whole ear are probably safer than the smaller earbuds(耳塞) that come with most music players. Hearing loss may not be obvious for years, however, once it happens, there is few chance of curing. About thirty million Americans have some hearing loss. One third of them lost their hearing as a result of loud noises.
The American Speech-language-Hearing Association is working with companies and government officials on setting rules for use of portable music devices. The group says the best way to protect your hearing is to _______, limit listening time and use earphones that block out foreign noises.
76.What is the best title of the passage? (Please answer within 10 words.)
_______________________________________________________________________________77.Which sentence in the passage can be replaced by the following one?
Compared to adults, teenagers are more likely to turn up their players.
_______________________________________________________________________________78.Please fill in the blank in the last paragraph with proper words or phrases to complete the sentence. (Please answer within 10 words.)
_______________________________________________________________________________79.What trouble will happen to a person if he suffers some hearing loss? (Please give at least two examples mentioned in the passage, each within 15 words.)
_______________________________________________________________________________80.Translate the underlined sentence in the fourth paragraph into Chinese.
_______________________________________________________________________________
查看习题详情和答案>>