学进去-教育应平等而普惠
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如图,内接于的直径,在的延长线取一点,使得

(1)求证: 的切线;
(2)过点于点,连结于点,若,求的长.
类型:解答题
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如图,点P是以O为圆心,为直径的半圆的中点,,等腰直角三角板角的顶点与点P重合,当此三角板绕点P旋转时,它的斜边和直角边所在的直线与直径分别相交于CD两点.设线段的长为x,线段的长为y,则下列图象中,能表示yx的函数关系的图象大致是(     

   

A.   B.   C.   D.   
类型:单选题
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如图,在平行四边形中,是锐角,于点的中点,连接,若,则的长是(     

A.6B.8C.D.
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—What beautiful clothes you are wearing! They must be expensive.
—No. They only ____ me fifty yuan.
A.costB.spentC.paid forD.took
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People who like traveling believe that traveling can help them expand their view. If they can make themselves travel with an open mind and try new things around them, they can see the world from a new view. Traveling helps us learn about different people and different places. People travel for different reasons. But one of the reasons is that a lot of tourists are interested in traditional culture (传统文化).

Tourism (旅游业) can be very good for traditional cultures. This is because when people travel to another country, they often want to learn more about that country’s traditions such as music, food and history. So the local (当地的) people in that country will wear traditional clothing and sell traditional food. They will also have shows for tourists. These shows can be dances, concerts, plays or something else.

Tourism also helps people respect each other. If you understand another culture well, you will probably respect that culture much more. You will probably want to protect (保护) that culture as well.

However, tourism isn’t always good for traditional culture. A lot of people say that tourism makes “not real traditional culture” happen. This means that the local people wear traditional clothing and do traditional dances only for tourists so that they can make money. But that isn’t their real lifestyle. Their real lifestyles are like the tourists’ lifestyles.

Another problem is that tourists may make trouble for the local people. For example, sometimes tourists come to watch local people praying (祷告) in temples (庙宇), tourists take photos and make noises. This often makes the local people angry.

Sometimes tourists may also do something bad to local places of interest. If five hundred people went into an old temple every day, they might do harm to that temple.

Anyway, more and more tourists want to learn about traditional cultures. Most local people want more tourism because tourists bring money and help local business. Tourists have to respect local culture and local places. Local governments try to protect places and lifestyles. If everyone tries his best, then tourism will be great for traditional cultures.

1.The word “expand” in Paragraph 1 probably means “________”.
A.enjoyB.showC.forgetD.widen
2.The tourists should ________ when they are in local places according to the passage.
A.take photos and make noises in temples
B.help the local people to make money
C.try to respect and protect local culture
D.make laws to protect places of interest
3.What’s the passage mainly about?
A.Tourists should respect and protect traditional culture.
B.Tourism helps local people improve traditional culture.
C.The importance of learning more about traditional culture.
D.Good and bad points of tourism for traditional culture.
类型:阅读理解
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Memory professor Jemima Gryaznov answers some of the mast common questions about memory.

Why can I remember events in my childhood but not what happened last week? We remember things that have strong connections (联系) in our mind, especially emotional (情绪的) connections. Childhood memories are often very emotional. This is because when we experience things for the first time we often have strong feelings of fear or excitement. Also, interesting or funny stories from our childhood are often told again and again. As a result, we remember them much better, as retelling events helps fix experiences in our memories. So when remembering something new, try to connect it to our emotions. Also we can try to retell what we have learnt to a few others.

Do some people really have a photographic memory?

A person with a photographic memory could remember every detail of a picture, a book or an event many years later, but no one has proved that there are people who really have photographic memories. Yet, there are some people who do have amazing memories. For example, Daniel Tammet can remember the first 22,514 digits of pi (π) and Stephen Wiltshire can draw a detailed picture of a city from memory after flying over it in an airplane. They are both good at remembering things for a limited time. As most of us do not have amazing memories like them, an effective technique (技巧) to remember things is to group similar ideas or information together so that they can be easily connected to things that are already known.

Why do I forget the new words that I learnt yesterday?

Don’t worry. This is natural for many people. In 1885, Hermann Ebbinghaus published a book called Memory and presented a famous forgetting curve. According to him, the quick loss of memory happens during the very early period after learning. This means timely review during this period, with a few revisits to what is learnt, can help us to remember the information better. Therefore, one of the golden rules to increase how much we remember is to review the material periodically, especially during the first day after learning.

1.Why might people lose memories about what happened last week?
A.Because they have negative emotions.
B.Because they have experienced too much.
C.Because there might be few emotional connections.
D.Because they retell the experiences without feelings.
2.Which of the following is TRUE according to the passage?
A.Stephen Wiltshire can draw a detailed picture of a plane.
B.Many people have a photographic memory after practicing.
C.The quick loss of memory happens at the beginning of learning.
D.Recalling what you’ve learnt at certain times may avoid forgetting.
3.What is the writer’s main purpose in writing this passage?
A.To compare people’s different memory abilities.
B.To share some basic knowledge of our memory.
C.To tell the development of memory in different ages.
D.To show us how the experts remember things easily.
类型:阅读理解
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Studies have shown that humans have the ability to understand the gestures (手势) of apes. That is a little surprising, because most people haven’t spent much time with apes.

Humans use words to talk to each other. But we also point, nod, and use our hands to show what we mean. Apes have their own gestures to show what they mean. Chimpanzees and bonobos are two kinds of apes. They are closest to humans. They use about 80 different gestures to show what they mean.

Scientists have learned the meanings of these gestures by studying Chimpanzees and bonobos for years. They share over 90% of the same gestures. Scientists have studied how apes use gestures. But for the longest time, no one studied if humans could understand the gestures of apes.

Researchers Kirsty Graham and Catherine Hobaiter at the University of St. Andrews decided to test this idea. They wanted to see if humans with no training or experience could understand the gestures of apes.

The researchers made a game for people to play online. The game was simple. People watched short videos of apes making a gesture. Then they had to choose the correct meaning of the gesture out of four possible (可能的) answers. For the videos, the researchers chose ten of the most common gestures used by apes. Thousands of people played the game.

The researchers were surprised to find that for some of the gestures, people were able to choose the correct meaning about 80% of the time. One example of this was the gesture of touching the mouth. People correctly guessed it meant “give me that food”.

The scientists believe humans may have a natural (天生的) ability to understand the gestures of apes. But it’s not clear why. Humans and other apes all developed from an earlier kind of ape. One possibility is that the body language of these gestures has been passed down to all apes from the common ape ancestor. Another possibility is that the gestures are natural because humans and apes share similar (相似的) body shape and need to communicate similar ideas.

1.Chimpanzees and bonobos ________.
A.are able to guess human gestures
B.share about 80 gestures with humans
C.can understand most of each other’s gestures
2.What is the fifth paragraph mainly about?
A.How the researchers did the study.
B.Why the researchers started the study.
C.What the researchers found in the study.
3.What does the study by Kirsty Graham and Catherine Hobaiter show?
A.Humans and apes use gestures in a surprisingly similar way.
B.People can understand the gestures of apes without training.
C.More than 80% of people are able to learn ape gestures.
4.What can we learn from the passage?
A.It is important for humans to understand ape gestures.
B.Comparing apes and humans will help with future studies.
C.Humans can guess ape gestures possibly because of a shared ancestor.
类型:阅读理解
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PQ是同一直线上相距6米的两点,甲、乙两小车分别经过P点向Q点做直线运动,它们的图像分别如图(a)(b)所示。甲、乙在经过Q点后距Q点2米处相遇,则(  )

A.甲比乙早1秒通过QB.乙比甲早1秒通过Q
C.甲比乙早3秒通过PD.乙比甲早3秒通过P
类型:选择题
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在图(a)所示的电路中,电源电压恒定不变,电阻阻值为10欧,变阻器上标有“2A”字样。闭合开关S,电流表的示数为1.2安。两电流表表盘如图8(b)所示。
(1)求电源电压U______
(2)求电路正常工作时变阻器允许连入电路的最小阻值。______
(3)现将电流表分别重新串联入电路中,移动滑片,发现电流表的示数始终不变,电流表的示数从1.6安减小到1.5安。求:滑动变阻器连入电路阻值的变化量______

类型:填空题
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物理兴趣活动课上,老师让同学们测量一个阻值约为的电阻。除了未知电阻,老师还提供的器材有:两节旧干电池、一块电流表(量程0-0.6A,分度值0.02A)、一块电压表(量程0-3V,分度值0.1V)、一个铭牌标有“”字样的滑动变阻器、一个铭牌标有“”字样的滑动变阻器、开关及导线若干。请你合理选择器材,帮助同学们设计一个实验方案,比较精确地测出未知电阻的阻值。要求:
(1)请在虚线框内画出实验电路图并标清电阻符号;
(2)写出主要的实验步骤及所需测量的物理量;
(3)写出待测电阻的数学表达式。(用已知量和测量量表示)

类型:实验题
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