问题 解答题
在循环小数0.12345
6
的前面再点上一个循环点,得到一个新的循环小数,使得这个新的循环小数的小数部分第100位上恰好是5.这个新循环小数是多少?
答案

(1)假设再点上的循环节在1的上面,那么小数部分的数字就是6个数字一循环,循环周期为:1→2→3→4→5→6,那么第100位上的数字在100÷6=16…4,即17个循环周期的第4个数字,与第一个周期的第四个数字相同是4,故此假设不成立;

(2)假设再点上的循环节在2的上面,那么小数部分的数字从第二位开始,5个数字乙循环,循环周期为:2→3→4→5→6,那么第100位上的数字在:(100-1)÷5=19…4,即在第20个循环周期的第四个数字,与第一个周期的第四个数字相同是5,此假设符合题意,

答:这个新循环小数是0.1

2
345
6

阅读理解

阅读理解。

     The earth is about 4,600 million years old. Modern man has lived on the earth for only 35,000 years, but

during that time, we have changed our planet in many ways. Many of the things that we have done are good, but

more are not good for the earth.

     Water pollution

     A lot of people, birds and fish die each day because of water pollution. Factories have polluted the land and

the water. As a result, many rivers and lakes are now dead.

     Air pollution

     In big cities, factories, as well as cars, trucks and buses are the main cause of air pollution. Many people in

cities now have serious health problems. For example, Mexico city used to be a beautiful sunny capital, but today

it is always covered by thick brown clouds.

     Soil pollution

     In order to have a good harvest, most of the farmers use chemicals too much in their fields. That's bad for

the soil. But this kind of pollution is difficult to stop.

     Hope for the future

     These problems are very serious for our future, so all of us should do something to improve our

environment. If we can stop pollution, our planet will become more and more beautiful and our health will be

better. Let's be greener people!

1. _____ have made the earth change a lot. [ ]

A. Human beings

B. Animals

C. Plants

D. People in other planets

2. There are _____ kinds of pollution in this passage. [ ]

A. two

B. three

C. four

D. five

3. Pollution isn't a big problem now, is it? [ ]

A. Yes, it is.

B. No, it isn't.

C. Yes, there is.

D. No, there isn't.

4. Which sentence is NOT right according to the passage? [ ]

A. Most of things that we have done are good for our planet.

B. We must stop the factories from pouring waste water into the rivers and lakes.

C. Because of water pollution, many rivers and lakes are now dead.

D. Water pollution is very serious nowadays.

5. Which sentence is RIGHT? [ ]

A. Though Mexico city is always covered by thick brown clouds, it's still a beautiful sunny capital.

B. Air pollution can make people sick.

C. Now fewer farmers use chemicals in the fields.

D. Factories, cars, trucks and buses are the main cause of soil pollution.

单项选择题