问题 解答题
已知点A(-1,6)和B(3,0),在直线AB上求一点P,使|
AP
|=
1
3
|
AB
|.
答案

设P的坐标为(x,y),

AP
=
1
3
AB
,则由(x+1,y-6)=
1
3
(4,-6),

x+1=
4
3
y-6=-2.
解得
x=
1
3
y=4.

此时P点坐标为(

1
3
,4).

AP
=-
1
3
AB
,则由(x+1,y-6)=-
1
3
(4,-6)

x+1=-
4
3
y-6=2.
解得
x=-
7
3
y=8.

∴P(-

7
3
,8).

综上所述,P(

1
3
,4)或(-
7
3
,8).

阅读理解
完形填空 (共12分,每小题1分)
阅读下面的短文,掌握其大意,然后从短文后各题所给的A、B、C、D四个选项中,选择最佳选项。
Once a young man was traveling by train. It was a long and boring journey. As the train was moving through a wilderness(荒野), the passengers looked out of the windows 1  . When the train reached a bend(弯道),it slowed down and then a simple house 2  . It was so easy to notice that everybody on the train turned to “enjoy” with eyes wide open. Some passengers even began a discussion about it. The young man was also 3  by the scenery. On his return he  the train at the nearest station and found his way to the house. Its owner said that he was troubled by the 5  of the train. He wanted to sell the house, but 6   would buy it.
7   the young man spent 30,000 dollars on the house. He thought it was a good place for 8   because it was facing the railway bend. When the train moved slowly past, the tired passengers would 9   the house.
He tried to 10  some big companies and told them that could be used for advertisement. At last the Coca-Cola Company took it to put up their 11  . To everyone’s surprise, the young man was afforded 180,000 dollars for a three-year rent.
This is a true story. It tells us that discovery is very 12 . Many people have got new ideas from it.
小题1:
A.excitedly B.quietlyC.safelyD.clearly
小题2:
A.appearedB.foundC.inventedD.came
小题3:
A.attackedB.attractedC.stickedD.moved
小题4:
A.got onB.turned on C.got offD.turned off
小题5:
A.track B.passengers C.conductorsD.noise
小题6:
A.nobody B.someoneC.advertiser D.everybody
小题7:
A.Gently B.QuicklyC.FinallyD.Lately
小题8:
A.discoveryB.rentingC.stayingD.advertisement
小题9:
A.apply forB.lack of
C.be interested inD.stay in
小题10:
A.work forB.join inC.connect withD.look up
小题11:
A.messagesB.magazinesC.noticesD.slogans
小题12:
A.interestingB.importantC.difficultD.different
多项选择题