在图1至图3中，直线MN与线段AB相交于点O，∠1 = ∠2 = 45°．
如图15-1，若AO = OB，请写出AO与BD 的数量关系和位置关系；
将图15-1中的MN绕点O顺时针旋转得到图15-2，其中AO = OB．
求证：AC = BD，AC ⊥ BD；将图15-2中的OB拉长为AO的k倍得到图15-3，求
的值．
阅读下面的短文，然后按照要求写一篇150词左右的英语作文。
This is a story that happened in a school campus. One day, after school was over, Peter was taking a walk in the school campus, singing very happily. When he passed by a water tap(水龙头), he found that water was still running.Someone forgot to turn it off although it was the easiest thing for him to turn it off, and he should have done so，he seemed not to have noticed it and went on walking as if nothing was happening there.
Just then, Mary was passing by and noticed that. Who left the water running after using it? she thought to herself. She rushed to the tap and turned it off as quickly as possible.When Mary was doing that, Peter was right there, standing beside her with a cold look. Mary turned to him and scolded him for not having turned off the tap. “It is none of my business！”Peter said coldly, Besides, it was not I who had turned it on.”Hearing this, Mary was very disappointed and she was at a great loss.
【写作内容】
1．以约30个词概括短文要点；
2.然后从"节约资源，保护环境，从身边小事做起”这一角度，写一篇120词左右的英语作文。内容包括：
(1)简要评述Mary或Peter的行为并说明你的理由；
(2)叙述你或你身边所发生的类似的故事；
(3)谈谈你的感受与启发。
【写作要求】
1.作文中，可以使用自己亲身的经历或虚构的故事，也可以参照阅读材料的内容，但不得直接引用原文中的句子；
2.作文中不能出现真实姓名和学校名称；
3.标题为：Try to Do the Small Things around You
课间休息时，有些学校利用多媒体来播放音乐，因此，很多学生对此有不同看法。假如昨天你班就“课间是否要播放音乐”展开了讨论。请你根据以下信息用英语写一篇短文，陈述讨论结果。
【写作内容】
| 1.讨论的时间和讨论的问题； 2.学生们的观点： (1)大多数学生认为：活跃气氛，放松，带来快乐，学习效率高。 (2)部分学生认为：时间短，没效果；课间太吵，需要安静。 3.达成的共识：最好播放柔和并适合于中学生的音乐。 |
【写作要求】
只能使用5个句子表达全部内容。
【评分标准】
句子结构准确，信息内容完整，篇章结构连贯
【参考词汇】
课间：during the class break效率：efficiency共识：agreement
阅读下列应用文及相关信息，并按照要求匹配信息。
首先，请阅读以下专家的解答：
A.First, let' s talk about your boyfriend.If he' s laughing at you about it and won' t stop (even after you've talked to him about the fact that it hurts and annoys you) then you might need to stop being friends with him. If he really doesn't care about how he is hurting you, then he's not good enough to be your boyfriend. Second, if that girl is bothering you and threatening to beat you up you really need to turn to an adult for help. If you can't feel safe at school, you can't concentrate and will get poor grades, which will affect your future.
B.It' s true that your first year in high school is important. It's a fresh start with your grades and it affects the rest of your high school years, but if you just stay calm, optimistic, and focused, you'll do fine. There's really no need to worry about grades as long as you work hard. Try to stay happy and confident. I think a good way to get an extra confidence boost is to wear your favorite clothes.
C.You' re already on the right track by knowing what you want to change about yourself and why you feel the way you do. Understanding yourself is a big step! One good thing to do is to hang out with people a lot like you. If you have more in common with someone, then it is much easier to talk to them. Usually when you feel comfortable around a group of people, your confidence increases a lot.
D.What I've discovered from my years of school changing is that confidence is the key to a good first day. Make sure you're not too threatening to your new classmates in any way, and it usually helps to be twice as nice as usual. Just smile and try to have fun. Also, about the clothes, wear something cute with bright colors. Then you'll look good, but you won' t have too many eyes on you all at once. Good luck and have fun!
E.Usually it helps your grades if your family life is less of a challenge. If you get better grades and quit running up high phone bills, you would get along better with your parents. Getting along with your parents is pretty important.They've been through a lot and are usually good people to go to for help. So try your best to get along with your family.
F.If you don't feel pretty, remember that everyone looks different. There are different kinds of "pretty”, believe it or not. Some people have great smiles, some have great hair, and some have nice eyes. Pay more attention to the parts of you that you like and pay less attention to what you don't like.
阅读下列人物的困惑，然后匹配相应的专家解答：I am in eighth grade and am about to start high school.I am super nervous about going to high school and afraid that I won' t fit in and get good grades. It is all I think about nowadays and it is ruining my life. What should I do? Please help me!
I had a fight with a girl at school and ended up almost getting forced to leave school. Everybody makes fun of me and now my boyfriend is joining in with them. I have told him that it hurts my feelings, but he says that it is just a joke and that he may do it again. I feel scared to go to school, because I knocked her down at school and she'll get all her friends to beat me up the next time she sees me. I run as fast as I can to attend classes. Please help me!
My dad and mom always get me mad. I have bad grades.My cell phone's bill is quite high. I think it' s because of my anger at my dad and mom. What should I do to get along well with my family?
My family will move to a new city and I will have to start a new school. I'm really nervous about being a new kid. I don' t know what kids wear in a completely new school, how they act, or anything else. I don't want to make a bad impression on my first day. Oh, I will be in 10th grade and I've never changed schools before.
When I was eight my parents divorced(离婚).I used to be willing to do something and talk to someone I didn't know without being nervous. After the divorce I switched(转变) to many different schools and got really shy.My problem is that I'm shy around boys. I have to get to know them a lot to open up more and I think I might have ruined it a couple of times. I want my old self back. How do I open up even more without feeling scared?
Do you know what your child is going to do when the school bell rings at the end of the day? More than 14 million students leave school every afternoon and have nowhere to go, since they do not have access to(使用) affordable afterschool opportunities. According to the National Youth Violence Prevention Resource Center (NYVPRC), 90% of the Americans think all youths should have access to afterschool programs(课外活动项目), but twothirds of parents say they have trouble finding programs locally. The bad news is that the situation may be getting worse.
Afterschool hours are the peak time for juvenile crimes and risky behaviors, including alcohol(酒精) and drug(药物) use. NYVPRC states that children who do not spend any time in afterschool activities are 49 percent more likely to use drugs and 37 percent more likely to become a teen parent. Kids are also at the highest risk of becoming a victim of violence after school, particularly between the hours of 2 p.m. and 6 p.m. The highest amount of juvenile crime occurs between 3 p.m. and 4 p.m., when most children are dismissed from school(放学).
The NYVPRC defines afterschool programs as safe and structured activities that offer children opportunities to learn new skills. The skills students learn can range from technology and math to reading and art. Some programs also offer opportunities for internship (实习), community service, or mentoring. These programs have been shown to improve academic achievement, as well as relieve the stresses(减压) on working families. A report by the U.S. Department of Education and the U.S Department of Justice shows that students in afterschool programs have fewer behavioral problems and more selfconfidence, and can handle conflicts better than students who are not involved with these programs. In addition, according to the Harvard Family Research Project, afterschool programs help students from low income families overcome the inequities (不公平) they face in the school system.Which of the following is TRUE according to the first paragraph?
| A．Most parents don't believe in afterschool programs. |
| B．Students are not willing to attend afterschool programs. |
| C．It's difficult for parents to find afterschool programs for their kids. |
| D．Parents don't care about where their children go after school. |
The underlined word “juvenile” in Paragraph 2 has a similar meaning to “________”.
| A．student | B．teenager | C．adult | D．campus |
We learn from the second paragraph that________.
| A．the teachers should watch over kids after school |
| B．children are dismissed from school too late |
| C．afterschool hours are a risky time for children |
| D．children should go home immediately school is over |
The author of the passage probably________.
| A．fully supports afterschool programs |
| B．doubts the effects of afterschool programs |
| C．believes structured activities are useless for children |
| D．thinks students today are too stressed |
What is the theme of the passage?
| A．Prevention of juvenile crimes. |
| B．Risks kids face after school. |
| C．A research report on the stresses of the students. |
| D．The benefits of afterschool programs. |
The United States of America is the most culturally diverse(多样化) country in the world in terms of culture religion, ethnicity(种族) and sexual orientation. As a combination of various races and cultures, America is home to all. The culture here is so unique that citizens can be just as proud of their original cultural heritage(遗产) as they are to be American.
What is now the US was initially inhabited(居住) by native people until the land was settled by various European groups and African slaves. Since the 20th century, the country has become a heaven for people from all over the globe(全球).
The arrival of immigrants(移民) has shifted populations from rural(农村的) areas into cities because immigrants tend to settle in urban areas. At present, 81 percent of the inhabitants in the US live in cities.
Cultural and ethnic diversity adds a unique flavor to cities that is expressed through distinct(独特的) neighborhoods, restaurants, places of worship, museums, nightlife and multicultural learning environments.
Unique musical forms, such as jazz, rock and roll, Chicano music, and the blues, grow in the US by mixing a variety of culturally distinct musical traditions to create a new form.
At the executive (行政的) level, the country is headed by a mixedrace president; two posts(职位) on the Supreme Court are held by members of the country's two largest minorities.There is also diversity in state and local governments.
Without its rich mixture of races and cultures, America would not be the nation that it is today. Founded upon the basis of equality and freedom, America acts as a stage where different cultures not only coexist peacefully, but develop well.According to the passage, America is a country________.
| A．that welcomes people from all over the world |
| B．where citizens take more pride in their original culture |
| C．that is mostly settled by Europeans and Africans |
| D．where 81% of the population are immigrants |
Where did most people live before many immigrants came to America?
| A．In the urban areas. | B．In the rural areas. |
| C．In the southern part of America. | D．In the northern part of America. |
We can learn from the sixth paragraph that________.
| A．diversity(多样化) has existed in America in almost every aspect(方面) |
| B．most posts in American state governments are held by mixedrace people |
| C．equality and freedom make America a fair country |
| D．diversity has greatly affected the American political field |
What's the best title for this passage?
| A．The effects of culture and diversity on America. |
| B．The influence of globalization on America. |
| C．The political development of America. |
| D．The bright future of America. |
We would most probably read this passage in a book about________.
| A．science | B．history | C．culture | D．amusement |
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