问题 解答题

(1)书架上有3本不同的书,如果保持这些书的相对顺序不变,再放上2本不同的书,有多少种不同的放法?

(2)身高均不相同的7个人排成一列,要求正中间的个子最高,从中间向两边看,一个比一个矮,有多少种不同的排法?

答案

(1)根据题意,先排好有顺序要求的3本,

再将需加入的第一本用插空法插入,有4种情况,

用插空法插入第二本时,有5种情况,

由分步计数原理可得,有4×5=20,

故有20种不同的放法;

(2)先排正中间的人,只有1种方法,再排左边的3个人,有C63种方法,

剩下的3个人排在右边的3个位子中只有1种方法,

所以共有C63=20种方法.

单项选择题
阅读理解

A town in Oxfordshire has become the first in the UK to have biomethane(生物甲烷)gas from human waste piped to their homes for gas central heating and cooking.

Up to 200 families in Didcot now receive the gas via the national gas power system. Head of energy and technology at British Gas,Martin Orrill,said customers wouldn’t notice any difference as the gas is purified to the highest standard and has no smell.The gas is produced at a sewage(污物) treatment works in Didcot.

The entire process takes only less than three weeks, with the sewage being collected and sent first to settlement tanks.The solid waste material is then fed into digesters, where anaerobic bacteria(厌氧菌)digest the sewage,with the aid of enzymes(酶)to speed up the process.The digestion process produces methane,which can be burned to drive machines(甲烷)to produce electricity,or can be purified and fed into the gas network and piped to homes and businesses. British Gas says supplying the gas rather than electricity is far more efficient since around two-thirds of the energy is lost in producing electricity.

Partners in the Didcot project,British Gas,Scotia Gas Network,and Thames Water,all hope to expand the process to other towns,and other companies such as Ecotricity and United Utilities have also announced biomethane projects being planned.One of these projects in Manchester could be supplying 500 homes with biomethane by mid next year. Another British Gas project in Suffolk will provide gas from digestion of brewery(啤酒厂)waste to around 235 families.

The Didcot project cost£25 million and was influenced by promises of government aids aimed at encouraging companies to develop renewable technologies.An EU directive means the UK must ensure at least 15 percent of its energy is from renewable sources by 2020.

The UK produces about 1.73 million tons of sewage annually.If all sewage treatment works in the UK were fitted with the technology,they could supply gas for up to 350, 000 families.

小题1:.  Which of the following is TRUE of the biomethane gas?

A.it’s mainly made from rotting plants

B.It’s an environmentally friendly gas

C.Its production process is too long

D.It’s easily recognized by customers小题2:.  What is the function of the enzymes?   

A.To digest the solid waste material

B.To help get rid of anaerobic bacteria

C.To help purify the biomethane.

D.To speed up the digestion process.小题3:.  According to the passage,the biomethane gas had better be used        .

A.as the power for vehicles

B.for heating and cooking

C.to produce electricity

D.to drive a variety of machines小题4:.  The last three paragraphs mainly show that        .

A.the UK government supports the biomethane projects

B.the biomethane projects are very costly

C.the biomethane projects still face many barriers

D.the biomethane projects are promising小题5:. . What should the text belong to?

A.Computer science

B.Engineering

C.Energy

D.Business