How to make a geometry puzzle(几何谜题) that most people can’t figure out?
You’ll need:
* Square piece of light cardboard or heavy paper
* Scissors
* Four brass paper fasteners
* Hole puncher
1 Cut the paper into four equal strips.(相同大小的)
Punch holes near the ends of each strip.
2 Make a square with fasteners.
3 Hold two opposite sides, gently pull them outward, and twist(扭转) your hands inward at the same time.
What happened?
You can reshape the square into a ring, and flip(翻转) that ring back into a square.
Give the square to 10 people and ask them,“can you make this into a ring?” and see how many can.
There’s a mathematical science called topology(拓扑学).
It studies shapes that can be turned into other shapes like this.
1. How many kinds of tools will you need in this experiment?A.Three | B.Four | C.Five | D.Six |
A.Make holes with puncher in each strip. | B.Make a square with fasteners. |
C.Pull the opposite sides inward. | D.Twist your hands outward. |
A.You can’t turn the square into a ring. |
B.You can turn the ring into a square. |
C.You can’t turn the square into any other shape. |
D.You can turn the ring into any other shape except a square. |
A.history | B.biology | C.science | D.sports |
A.To tell us a funny story. | B.To teach us an important lesson. |
C.To explain how to do an interesting game. | D.To show an example of topology. |
相似题推荐
【推荐1】One in every 121 Americans share the last name“Smith”. It is also the most used last name in the UK, Canada, Australia and New Zealand, a study finds.
The study also finds that many people in Asia share the same family names. In China, there are about 2, 000 family names in use today, but about 50% of all Han Chinese people share the same 19 family names! The most used family name is Wang. One in every 13 people have “Wang”to be the family name. In South Korea, one in five are named “Kim”, and in Vietnam, 25% of people are named “Nguyen”.
Where do these most used last names come from? Some people may have last names from an occupation or the name of a place. “Cook” and “Hill” are two of the most common (最常见的) family names. “Cook” comes from the job people do and “Hill” is from the place people live in. Some common last names come from the people in their families. Often a son gets his last name from his father by putting “s” or “son” at the end of his father’s given name. Thomson, Wilson, Roberts and Davis are all common last names.
1. What is the most used last name in the UK?A.Smith. | B.Nguyen. | C.Thomson. | D.Davis. |
A.5. | B.13. | C.19. | D.25. |
A.Job. | B.Subject. | C.Dictionary. | D.Story. |
A.his look | B.his father | C.his school | D.his friend |
A.The Fun English Names | B.The Number of English Names |
C.The History of Last Names | D.The Most Common Last Names |
【推荐2】Do you know when restaurants were invented? The first restaurant were invented thousands of years ago. However, they were very different from restaurants today.
The first restaurants were in ancient Greece and ancient Rome. These restaurants served food in large stone bowls, people didn’t order food from a menu. Everyone used to share the food from big bowls. People believe that these places were very popular because most homes in ancient Greece and Rome did not have kitchens. Also, people didn’t have to store food at home if they ate their meals at these restaurants.
Later, restaurant began to open in China. In the early 1100s, more than one million people lived in the city of Hangzhou, China. It was a very busy city, and people had money. All of these people had to eat. Smart cooks started cooking and selling food along the Imperial Way, a very big street in the city. Unlike in ancient Greece and Rome, people in China could choose food from a menu. They didn’t have to eat the same food as everyone else.
For the next several centuries, there were restaurants all over the world. People could buy food on the street or at inns small hotels. Then in the middle of the 1700s, restaurants started opening in Paris. These restaurants were more similar to restaurants we know today. There was a bigger variety of food, and eating in these restaurants was a more enjoyable experience. In the 19th century, trains made travel much faster and simpler. In the end, this kind of restaurant began to appear all over Europe and in other parts of the world.
Now, restaurants are everywhere. You can buy a variety of different kinds of food. You can have food sent to your door. But remember it wasn’t always like that.
1. It is believed that these first restaurants were popular because ________.A.people could eat different food |
B.the food there was very cheap |
C.people were too busy to cook |
D.most homes didn’t have kitchens |
A.They offer menus to customers. |
B.They usually served the same food |
C.They sold the food in large stone bowls |
D.They prepared food for all people in the city |
A.The first restaurants were very different from restaurants today. |
B.In the early 1100s, there were more than one million people in Suzhou. |
C.In the middle of the 1700s, restaurants started opening in France. |
D.Now you can get food without going out. |
A.restaurants in ancient Greece and ancient Rome |
B.restaurants in Hangzhou in the early 1100s |
C.restaurants in Paris in the middle of the 1700s |
D.restaurants all over Europe in the 19th century |
A.helps us to choose restaurants | B.tell us the history of restaurants |
C.encourage us to eat at restaurants | D.show us the changes of eating habits |
【推荐3】Kenya(肯尼亚), a country in East Africa, is a land of natural beauty.
Kenya lies along the equator on Africa’s east coast. The Indian Ocean is to the east of Kenya. Highlands rise in the western part of Kenya. Mount Kenya, at 5,199 meters, is Kenya’s highest mountain. East of the highlands, the land goes down toward the coast.
Kenya’s most important river, the Tana, starts from the highlands to the Indian Ocean. Most of the country’s other rivers are short and shallow. They sometimes dry up when there is little rainfall.
Kenya has two wet seasons and two dry seasons. Rainfall is usually heavy from April to May and from November to December, while some areas are more cloudy without much rain between July and August and from January to March. Temperatures are generally warmer in the north and cooler in the highlands.
Kenya is home to many national parks. Green forests and bamboo grow in the highlands. The country’s animals include elephants, lions, giraffes, zebras and many rare(稀有的) animals. The Kenyan government has set up more than 50 nature parks. Inside the parks, the wildlife is protected from hunting. This makes them excellent places to take a journey.
1. From Paragraph 2 we can know that ________.A.the western part of Kenya is level land |
B.Mount Kenya is Kenya’s highest mountain |
C.Kenya lies along the equator on Africa’s west coast |
D.the land goes down toward the coast in the west of the highlands |
A.not safe | B.not deep. | C.not wide. | D.not dirty. |
A.Hunting. | B.Fishing. | C.Tourism. | D.Growing trees. |
A.To invite people to visit Kenya. | B.To introduce the country Kenya. |
C.To give advice on how to travel Kenya. | D.To call on people to protect the wildlife. |
A.![]() | B.![]() | C.![]() | D.![]() |
【推荐1】Do you often run outdoors to keep healthy? Have you ever thought about how running helps to clean up the earth? Sometimes a creative mind can bring us a win-win(双赢) situation.
![](https://img.xkw.com/dksih/QBM/2021/1/19/2639529441566720/2639616116752384/STEM/f4f32652a2424f1c813278c9b0123fb9.png?resizew=178)
Plogging, a new way to exercise, began in Sweden(h), The name "plogging" comes from two words—the Swedish(瑞典的) word "plocka", which means "to pick up(捡起), and the word Jouging"", which means" to run slowly". A Swedish man called Erik started the movement, He saw rubbish here and there when riding to work each day. He became worried about the dirty environment and decided not to go to work by bike anymore. Instead, he began to run to work and pick up the rubbish at the same time. To his joy, more and more people followed him and soon plogging became popular.
Many people choose plogging instead of just jogging because they think plogging is a good way to help clean up the earth. Sometimes rubbish is difficult to collect because it may scatter all around. But if the runners pick up the rubbish on the way, it is quite different. Because many hands make light work. Another reason is that plogging burns more calories(卡路里). According to a research, plogging for 10 minutes burns 48 calories, while usual jogging for 10 minutes burns about 39 calories.
Everyone on the earth should play a part in cleaning it up! It's time for us to take action together. So ready? Let's plog tomorrow!
1. After Erik saw much rubbish, ________.A.he became worried | B.he kept riding to work every day |
C.he didn't care and did nothing about it | D.he asked the government for help |
A.爆炸 | B.集中 | C.散落 | D.职业 |
A.there are too many bikes in the city | B.riding bikes is harmful to their health |
C.it can help clean up the earth and burn more calories | D.they don't like driving anymore |
A.Plogging started in Sweden. | B.Plogging for 10 minutes burns about 84 calories. |
C.The name "plogging "comes from two English words. | D.Plogging is accepted by only a few people. |
A.A Bad Habit—Riding bikes | B.The Best Sport—Jogging |
C.A New Way to Exercise—Plogging | D.A Swedish man—Erik |
![](https://img.xkw.com/dksih/QBM/2022/7/12/3021224587001856/3030972434325504/STEM/9d853d90ea484ab09576af7bd2156406.png?resizew=149)
Eight hundred years ago, a man in southern Turkey invented an amazing clock. It was more than 7 meters high. At its base was a life-size model elephant. Every half hour, something amazing happened. The whole clock came alive: Model birds, dragons, and people started to move.
The clock’s inventor was an engineer named al-Jazari. He lived in Turkey. Al-Jazari was probably one of the greatest engineers in history. Some historians call him “the father of modern-day engineering.”
We know about al-Jazari mostly from a book that he wrote. They include clocks and hand-washing machines. The book also has drawings that show how each machine works.
Many everyday things today—from toys to car engines(发动机)—still use al-Jazari’s ideas. Without his ideas, we might not have modern-day engineering.
If you travel to Dubai, it is still possible to see what al-Jazari’s elephant clock looked like. A full-size working model is in Dubai’s Ibn Battuta Mall(六国商城). There, every half hour, al-Jazari’s most amazing invention comes to life once again.
How Does the Elephant Clock Work?
A bowl with a small hole floats(浮)in a water tank(水箱)inside the elephant’s body. As the bowl slowly sinks, it pulls a rope that moves a human figure. His moving pen shows the number of minutes past the hour.
Every half hour, the water bowl becomes full and sinks completely. This causes a ball to fall from the top of the clock. The movement of the ball causes a phoenix to move and make a sound.
The ball then drops out of a falcon’s mouth into the mouth of a Chinese dragon. The weight of the ball causes the dragon’s head to move down and the dragon’s tail pulls the water bowl back up.
Finally, the ball drops out of the dragon’s mouth and into a vase. As the ball lands in the vase, the elephant driver moves and makes a sound. The cycle begins again until there are no more ball in the top of the clock.
1. ”Something amazing happened in Paragraph 1 refers to ________.A.The people started to move. |
B.The whole clock came alive. |
C.Al-Jazari was born in Turkey. |
D.The clock is leased on a life-size model elephant. |
A.He invented an amazing clock. |
B.He lived eight hundred years ago. |
C.He wrote a book about machines. |
D.Without his ideas, we might not have modern-day engineering. |
A.A quarter. | B.Half an hour. | C.An hour. | D.An hour and a half. |
a. The ball drops into the vase.
b. The ball drops into the dragon’s mouth.
c. The elephant driver moves and makes a sound.
d. After 30 minutes, a ball starts to fall from the top.
e. The bowl moves down in the water and pulls on ropes.
A.b-d-a-c-e | B.e-d-b-a-c |
C.a-e-b-d-c | D.c-a-d-e-b |
A.Art. | B.Animal. | C.Science. | D.Traveling. |
【推荐3】It’s said that there are many kinds of traditions around the world when a child’s tooth falls out. In western countries like the US, one of the most popular is leaving a tooth under a pillow(枕头) for the Tooth Fairy(仙子). Here are three other interesting tooth traditions for you to know.
Toss(扔) the Tooth in the Air
Many children in the Middle East don’t leave their teeth for a fairy. Instead, they go outside and toss their teeth up in the air, aiming for the sun. It’s said to be helpful for the growth of new teeth. They may also be much stronger than before.
Toss the Tooth on the Roof(屋顶)
In India, kids will toss the bottom teeth on the roof. However, the upper ones are placed somewhere low, such as under the bed. The teeth are hoped to be taken by a bird or a mouse. This is believed to make sure that new ones grow as fast as possible.
Hide That Tooth
In Nepal, if a bird steals your baby teeth, it’s considered bad luck. So children will hide their teeth in secret places. Kids in Malaysia bury(埋) their teeth in the ground too. It’s seen as returning the tooth back to nature. In Turkey, children also hide the teeth. Burying a tooth near a hospital is believed to help a child become a doctor. Soccer fields are popular, because everyone wants to be a good player!
1. There are ________ kinds of tooth traditions mentioned in this passage.A.2 | B.3 | C.4 | D.5 |
A.be taken by the bird | B.have stronger new teeth |
C.be taken by the fairy | D.get sunshine |
A.![]() | B.![]() | C.![]() | D.![]() |
A.Nepal | B.Turkey | C.the US | D.Malaysia |
A.under the soccer field | B.in the classroom |
C.near the hospital | D.in the forest |
【推荐1】It was Day 1 of our vacation on Cortes, a beautiful quiet island. “iPhone, iPhone, iPhone,” my son kept moaning(呻吟). In front of him was a big window of facing the blue ocean. And a cool gentle wind was coming in from the door. Clearly, he saw and felt none of it.
Back at home, I’d soon give up and hand the phone over to him after five minutes of listening to this kind of moaning.
But not here. Before we left, I had told my 10-year-old son the rule —— no e-mails, no Facebook, no video games, and no iPhone. We came here to get away from them all. Here we were on our first day and already, he couldn’t stand it.
47 I walked down the grass road to the beach and looked out to the sea. My 6-year-old daughter and my husband were drawing on pieces of wood. They were doing just fine.
On Day 2, we spent the whole morning digging for shells(贝壳). This time, my son joined us. He collected shellfish and other sea treasures. When we got back to our little wood house. I gave my son a book, and put him on the lovely garden chair. It was almost dinner when he looked up.
The next few days passed in peace.
On Day 6, my son was lying beside me on the beach, watching the sun going down. He was playing with the sand. And there was something shining in his eyes. I realized how time slowed down for both of us. It was exactly what I wanted. Finally, we were able to sit quietly without thinking about screens, phone calls and e-mails.
A week away from all the electronics and life is good.
1. What is the special rule for the writer’s vacation?A.They couldn’t use their electronics. | B.They must keep quiet and stay in the house. |
C.The had to spend their vacation on an island. | D.They should collect as many shells as possible. |
A.I felt really tired and went to bed. | B.I closed the door and stayed with him. |
C.I just walked outside to leave him alone. | D.I gave him iPhone and let him stay inside. |
A.angry→surprised→proud | B.excited→peaceful→bored |
C.worried→angry→hopeful | D.bored→peaceful→pleased |
In fact, breaking records, the video has set the Guinness (吉尼斯) World Record for the most 'liked' video in YouTube history. Gangnam Style, that was available for viewing on July 15, has more than 2,479,030 likes on YouTube. What's
The song has been the top one on the song lists in 31 countries, including the United States, United Kingdom, and Canada. "The YouTube video never wanted to attract foreign countries. It was for local fans," Psy told the reporters after a concert."My goal in this music video was to look not so fashionable until the end. I achieved it."
The song, appeared in mid-July. The singer’s stage name is from 'psycho', and he writes and produces his own music. 'Gangnam Style' is about the lifestyle of the young people in Seoul, the Capital of South Korea.
![](https://img.xkw.com/dksih/QBM/2015/12/14/1566780783607808/1566780787589120/STEM/00861f7a10b6469a810649512d0474fc.png)
1. YouTube is probably a _________.
A.magazine | B.A newspaper | C.A shop | D.A website |
A.大跌眼镜 | B.目中无人 |
C.吸引眼球 | D.捂着眼睛 |
A.South Korea | B.three |
C.about thirty | D.hundreds of |
A.PSY is the singer’s real name. |
B.PSY sings songs written by others. |
C.Gangnam Style describes the lifestyle of the young people in Seoul . |
D.YouTube wants to make people all over the world like the song. |
A
Years ago, as we know, zoos kept animals in cages. Cages made it easy for visitors to see the animals, but a small cage is not a good place for an animal to live in.
Today animals live in open areas. There are usually plants and a little lake around, like the animals' habitats. Visitors usually stay in the bus to see the animals outside.
Zoos help to protect all kinds of animals. They protect animals in the zoo as well as animals in the wild. How do they do this? Zoos tell people how animals live in the wild and how to help protect their environment.
The number of many kinds of plants and animals is becoming smaller and smaller. Mammoths, which are related with Asia elephants, are now extinct(已灭绝的.Scientists say that 74 different kinds of living things are disappearing a day!
Zoos are working together to help animals-our friends.
1. In the past, zoos kept animals in cages so that people can ________.
A.protect them | B.see them better |
C.feed them | D.save them |
A.in open areas | B.in bigger cages |
C.in smaller cages | D.in the buses |
A.are trying to keep all kinds of animals |
B.are trying to free the animals |
C.tell people more about animals |
D.want people to feed the animals |
A.plant | B.bird |
C.animal | D.tree |
A.has more and more living members |
B.comes into this world soon |
C.becomes very dangerous |
D.has fewer and fewer living member |
【推荐1】Nanjing—a 3D-printed public toilet, covering an area of 200 square meters, is drawing attention in Suzhou. Located in Sun Mountain National Forest Park, the beautiful green-and-wood-colored toilet has been named "little box in forest". It was made from rubbish using 3D printing technology. The great invention was made without any steel, but is even stronger than other toilets.
As part of China’s “toilet revolution", Suzhou has been using new technology in its toilets. At some places, tourists can scan QR codes(二维码)with their mobile phones to receive 80 cm of toilet paper each time. They can scan the codes twice for more paper, but they have to pay for the third time. Pu Zexin, a general manager of Suzhou Chuzhibao Internet of Things, the inventor of the toilet paper machine, said the invention was intended to prevent toilet paper being wasted. Staff at the Humble Administrator's Garden tourist site said, the technology can help save nearly ¥9,000($ 1,361)per toilet yearly. It is said that the machines have helped reduce the use of toilet paper in the city's public toilets by an average of 80 percent. More toilets will be built with the machines.
Suzhou is also using new technology to improve the management(管理)of public toilets. An online service has been given in tourist areas, allowing users to quickly find the nearest toilet and be given with the proper length of paper. All the tourists feel very convenient with the new technology.
1. What does the underlined word "It" in paragraph 1 refer to?A.The forest | B.The toilet | C.The 3D technology | D.The park rubbish |
A.80 cm | B.160 cm | C.200 cm | D.40 cm |
A.The 3D technology helps the tourists travel better and feel convenient. |
B.The 3D-printed public toilet, made of green wood, isn’t that strong. |
C.By scanning QR codes, tourists can use toilet paper freely |
D.Some new technologies are being used in the public toilet in Suzhou. |
A.A newspaper printed in Suzhou. |
B.A storybook about science. |
C.A diary written by an inventor |
D.A notice for the tourists. |
![](https://img.xkw.com/dksih/QBM/2020/12/17/2616100330659840/2620275569950720/STEM/a93b1277603f4ecd9777e20d9cac0d40.png?resizew=176)
Beijing Opera, also called Peking Opera, is our national opera. It came into being (形成) after 1790 and has a history of over 200 years. Its music and singing came from Xipi and Erhuang in Anhui and Hubei. The Guangxu Emperor (帝王) and Empress Dowager Cixi were also crazy about Beijing Opera and helped develop the art form.
There are four main roles in Beijing Opera: Sheng, Dan, Jing, Chou. Sheng is the leading male (男性) actor. For example, a Wusheng is a soldier or fighter. A Xiaosheng is a young man. A Laosheng is an old man with beard (胡子). Dan is the female (女性) role. Jing, mostly male, is the face painted role and Chou is the comedy (喜剧) actor or clown (小丑).
Beijing Opera is full of famous stories, beautiful facial paintings, wonderful gestures and fighting. Some of the stories are from history books, but most are from famous novels. The people in the stories usually can’t agree with each other. They become angry, unhappy, sad and lonely. Sometimes they are afraid and worried. Then they find a way to make peace with (与……讲和) each other. Everyone is usually happy in the end.
Beijing Opera is an important part of Chinese culture. In China it used to be popular with old people while young people didn’t like it very much. However, more young people are becoming interested in it nowadays. And more people around the world are learning about Beijing Opera’s special singing, acting and facial paintings.
1. Beijing Opera's singing is from _________.A.Anhui and Hubei | B.Beijing and Anhui | C.the history book | D.the literature |
A.stories | B.roles | C.gestures | D.paintings |
A.honest | B.funny | C.boring | D.serious |
A.in a geography textbook | B.in a science and technology magazine |
C.in a business report | D.on a culture website |
A.Peking Opera is full of different gestures. |
B.There are only four roles in Beijing Opera. |
C.Beijing Opera is the most popular in the world. |
D.The people in the story usually are in agreement. |
【推荐3】What do you think the future will be like? Here are some answers from some students.
Mary: If we don't take good care of the earth now, our children and grandchildren will be born into a world with much pollution. There will be fewer trees and more buildings, because there will be more people.
Jack: I agree with Mary. Things will be worse. The weather in the future will be much hotter. Humans(人类) won't be able to live on the earth. They will have to look for another planet to live on.
Linda: I think life in the future will be better. Most people in the world will use “green cars”, so there will be less pollution and people will live to be 200 years old. As for space travel, I would say, we will visit Mars in about fifty years.
1. They are talking about________.A.pollution | B.weather in the future |
C.life in the future | D.Mars in about fifty years |
A.There will be fewer trees. | B.Everybody will have a car. |
C.People will live longer. | D.People will live on Mars. |
A.沙漠 | B.岛屿 | C.星球 | D.海底 |
A.Because there will be too many buildings. | B.Because the earth will be too hot to live on. |
C.Because there will be too many people. | D.Because the earth will disappear(消失). |
A.One. | B.Two. | C.Three. | D.Four. |