问题 问答题

如图所示,一修路工在S=100m的隧道中,突然发现一列火车出现在离右道口200m

处,修路工恰在无论向右还是向左跑均能安全脱离危险的位置。问这位置左出口的距离

多少?他奔跑的速度至少是火车速度的多少倍?

答案

60m  人的最小速度是火车速度的

要脱离危险必须使人在火车到达隧道口前跑出隧道。设人所在位置离左出口为xm,知图所示,则离出口为(100-x)m。v为人的速度,c为车的速度。

从左出口人恰能脱离危险时有:

 
                                             …………2分

从右出口人恰能脱离危险时有:

                                      …………2分

由上式可得:,即人离左出口60m,                       …………2分

两者速度之比为:,即人的最小速度是火车速度的倍。……2分

阅读理解

Who doesn’t love sitting beside a cosy fire on a cold winter’s night ? Who doesn’t love to watch flames (火苗) curling up a chimney? Fire is one of man’s greatest friends, but also one of his greatest enemies. Many big fires are caused by carelessness. A lighted cigarette thrown out of a car or train window or a broken bottle lying on dry grass can start a fire. Sometimes, though, a fire can start on its own. Wet hay (草) can begin burning by itself. This is how it happens: the hay starts to rot (腐烂) and begins to give off heat which is trapped inside it. Finally, it bursts into flames. That’s why farmers cut and store (贮存) their hay when it’s dry. 

Fires have destroyed whole cities. In the 17th century, a small fire which began in a baker’s shop burnt down nearly every building in London. Moscow was set on fire during the war against Napoleon. This fire continued burning for seven days. And, of course, in 64 A.D. a fire burnt Rome. Even today, in spite of modern fire-fighting methods, fire causes millions of pounds’ worthy of damage each year both in our cities and in the countryside. It has been wisely said that fire is a good servant but a bad master .

39. The writer considers it ________ to sit beside a fire on a cold winter night .

A. nice      B. dangerous      C. unhappy        D. painful

40. Which of the following describes the way how hay begins burning on its own ?

A. wet hay ---- becomes dry ---- gives off heat ---- burns

B. dry hay ---- gets too much heat from the sun ---- gives out heat --- starts to burn

C. wet hay ---- begins to rot ---- gives out heat ---- starts to burn

D. dry hay ---- gives off heat ---- starts to rot ---- starts to burn

41. Many big fires are caused __________ .

A. by cigarette             B. by their own    

C. by dry grass              D. by people’s carelessness

42. How many examples did the writer give to show fires can destroy the whole city ?

A. One      B. Two      C. Three           D. Four

43. Which of the following statement is not true ?

A. Fires still cause much damage now although there are modern fire - fighting methods .

B. Fires cause less damage in the country than in the city .

C. Fire can be man’s good friend and also great enemy .

D. One should be careful not to throw a lighted cigarette everywhere .

单项选择题