问题 解答题
给出下列条件①1<a<b;②0<a<b<1;③0<a<1<b.其中,logb
1
b
<loga
1
b
<logab
成立的充分条件是______  (填所有可能的条件的序号)
答案

logb

1
b
<loga
1
b
<logab⇔-1<-logab<logab⇔logab>1.

当①1<a<b时,有logab>logaa=1,故①成立.

当②0<a<b<1时,有logab<logaa=1,故排除②.

当③0<a<1<b时,有logab<logaa=1,故排除③.

故答案为:①.

完形填空
I like movies best. Last week, I   1  a movie called ⅠRobot. It tells us a story about the future with robots. It is the year of 035 and people can see robots everywhere. Robots can help people do a lot of things, like looking   2 the old people or babies, washing, cooking, cleaning or taking dogs for a walk. Robot does everything people ask them to do   3 . But a policeman ,    4  Spooner ,doesn’t like robots. Because he doesn’t think that people can live well   5 robots. One day a scientist kills himself. He leaves(留下) a robot. Some time later Spooner finds    6  wrong with the robots in the world. A   7  robots have their own thoughts(思想) and want to control(控制) the people. If the robots succeed(成功), it will be very   8 for people. Susan is another scientist working on robots. Finally, Susan and Spooner decide to   9  together to fight against these robots. At last, they succeed. People control the robots again. I think the movie is very interesting. If you are  10   in it, why not go and see it?
小题1:
A.watched B.watchC.sawD.see
小题2:
A.atB.afterC.forD.up
小题3:
A.goodB.nice C.wellD.fine
小题4:
A.nameB.call C.callingD.called
小题5:
A.andB.with C.withoutD.or
小题6:
A.nothing B.anythingC.somethingD.everything
小题7:
A.littleB.lotC.fewD.lots
小题8:
A.dangerousB.luckyC.dangerD.exciting
小题9:
A.workedB.workingC.workD.works
小题10:
A.interestingB.interestedC.interest D.interests
多项选择题