问题 解答题

(1)空集没有子集______               (用√、×判断对错)

(2)空集是任何一个集合的真子集______

(3)任一集合必有两个或者两个以上子集______

(4)若B⊆A那么凡不属于集合A的元素则必不属于B______.

答案

该题的5个命题,只有(4)是正确的,其余全错.

对于(1)、(2)来讲,由规定:空集是任何一个集合的子集,且是任一非空集合的真子集.

对于(3)来讲,可举反例,空集这一个集合就只有自身一个子集.

对于(4)来讲,由子集的定义知,当x∈B时必有x∈A,则x∉A时也必有x∉B.

单项选择题
阅读理解

C

When we can see well, we do not think about our eyes often.It is only when we can not see perfectly that we come to see how important our eyes are.

People who are nearsighted can only see things that are very close to their eyes.Many people who do a lot of close work, such as writing and reading, become nearsighted.Then they have to wear glasses in order to see distant things clearly.

People who are farsighted face just the opposite problem.They can see things that are far away, but they have difficulty reading a book unless they hold it at arm’s length.If they want to do much reading, they must get glasses too.

Other people do not see clearly because their eyes are not exactly the right shape.This, too, can be corrected by glasses.Some people’s eyes become cloudy because of cataracts.Long ago these people often became blind.Now, however, it is possible to operate on the cataracts and remove them.

When night falls, colors become fainter to the eyes and finally disappear.After your eyes have grown used to the dark, you can see better if you use the side of your eyes rather than the centers.Sometimes, after dark, you see a small thing to one side of you, which seems to disappear if you turn your head in its direction.This is because when you turn your head, you are looking at the thing too directly.Men on guard duty sometimes think they see something moving to one side of them.When they turn to look straight at it, they can not see it any more, and they believe they were mistaken.However, this mistake happens because the center of the eye, which is very sensitive in daylight, is not as sensitive as the sides of the eye after dark.

64.We don’t know that our eyes are of great importance until ________.

A.we think about our eyes     B.we cannot see clearly

C.we wear glasses             D.we have to do much reading

65.According to the passage, a ________ is more likely to be nearsighted.

A.student        B.doctor         C.guard          D.painter

66.People who are farsighted ________ .

A.can do a lot of close work without glasses

B.can only see things that are very close to their eyes

C.have difficulty reading a book if they hold it at arm’s length

D.can correct their eyes by glasses

67.To see a small thing at night, it is better to look ________ .

A.with wide open eyes       B.with half shut or narrowed eyes

C.straight at it                D.in a slightly different direction