问题 解答题

在25℃的室内烧开一壶水用了5分钟(水温与时间的关系是一次函数关系),又过了一分钟(其中在5-6分钟之间,水温保持不变),随后壶中的水温按反比例关系下降.

(1)在这个过程中,水温超过60℃的时间是多少分钟?

(2)从水烧开到水温降至25℃用了多长时间?

答案

设水温为y,时间为x.

(1)依题意可设y=k1x+b(k1≠0).则

b=25
5k1+b=100

解得,

k=15
b=25

则该一次函数解析式为y=15x+25.

所以,当y=60时,60=15x+25,

解得x=

7
3
,即在这个过程中,水温超过60℃的时间是
7
3
分钟;

(2)由题意可设y=

k2
x
(k2≠0).则100=
k2
6

解得,k2=600.

所以,该反比例函数解析式为:y=

600
x

则当y=25时,25=

600
x

解得,x=24,即从水烧开到水温降至25℃用了24分钟.

单项选择题 B1型题
填空题

Part 1


·Read the fllowing passages, eight sentences have been removed from the article.
·For each gap (1-8) mark one letter (A-H) on the Answer Sheet.
·Do not mark any letter twice.
There’s a story in Texas about the rancher who complained when a well driller found oil instead of the water he had been sent to look for. "Cattle can’t drink that stuff!" the rancher cried.
That story is no longer funny. We are short of both oil and water, but the water shortage is worse. (1) And we are using water a great deal faster than it is being replaced. The replacement rate is dependent on rainfall (sometimes in the form of snow) to resupply rivers, lakes, and ground water. (2) Worse, droughts are occurring more frequently and are increasing in severity, not only in the United States but also abroad.
Even without droughts, rainfall is insufficient to maintain a balance. (3) So much water has been taken from the Colorado River by Arizona and California that Mexico has complained that those states have exceeded the U.S. share under a 1944 treaty on water-sharing. Southern Californians also have elaborated arrangements to transport water from the Pacific North west, which has it in abundance, to their area, which doesn’t have nearly enough to support its population. (4)
Short of a fanciful solution, the U.S. has two broad options, neither pleasant. We can conserve or we can produce. The former is inconvenient or worse: less irrigation (and thus less food), fewer swimming pools golf courses, and green lawns. (5) In the quantities necessary, this would probably require nuclear power. It is technically feasible, but expensive, and was considered 30 years ago as a joint U.S.-Mexican project in the Gulf of California to alleviate the Colorado river problem. As more of it is done, the cost could be expected to come down; and as we became more desperate for water, we would be more willing to pay the cost even if it didn’t come down. (6) This is an arrangement whereby large landowners would sell the groundwater under their land, for whatever the market would bear, to cities that might be hundreds of miles distant. This would involve the considerable cost of pipeline construction and would mean faster depletion of groundwater reserves. (7)
It’s a good bet that during the 21st century some new arrangements are going to have to be made about the nation’s — and the world’s — water supplies. These are likely to be neither cheap nor easy. They are more likely to be cheaper and easier if we have thought about them in advance. (8) We have been sued to choices of guns or butter. This one might be water or meat.
  • A. A century ago, a drought affected only farmers and perhaps inland navigation; now it affects everybody.
  • B. The Northwest is showing signs of getting tired of this drain.
  • C. It is not too soon to begin.
  • D. We cannot live without oil in the style to which we have become accustomed, but we cannot live at all without water.
  • E. Rivers are running dry, especially in the West.
  • F. It would also mean less food production.
  • G. A solution currently being advanced in west Texas is a concept called "Water Ranching".
  • H. The latter is expensive: desalinization of seawater.