问题 解答题

世界杯足球赛,每个小组有4支球队,每两个队之间各赛一场,胜者得3分,负者不得分,平局各得一分。每个小组总分最多的两个队出线。

(1)有人说,得6分的一定出线,得2分的队一定不出线,请判断并说明对错。

(2)如果在小组比赛中有一平局,那么得6分的球队一定出线吗?

答案

解:(1)设某小组有A,B,C,D四支球队,如果A胜B,B胜C,C胜A,并且A,B,C都胜D。这时A,B,C三队均积6分,D队是0分。因此,A,B,C三队将根据净胜球的规则来确定其中两队出线,必有一队不能出线;所以如果小组比赛中无一场平局,那么得6分的队不一定出线。

设某小组有A,B,C,D四支球队,如果D全胜,得9分,一定出线,A,B,C三队互相均踢平,各积2分,这时,A,B,C三队仍将根据净胜球等规则来确定其中一队与D队一起出线;所以如果小组比赛中有平局,那么得2分的队也有可能出线。

(2)如果在小组比赛中有一场平局,因为单循环赛4个队之间共赛6场,所以各队积分总和≤3×6=18(分)。如果有一场平局,那么各队积分总和≤18-1=17(分)。由于某队得6分,于是其他三个队积分之和≤17-6=11(分),这时至少有两个队积分低于6分(否则,若存在两队积分不低于6分,则仅此两队积分之和已经大于11分,这是不可能的),这两个队不能出线,所以得6分的一定出线。

完形填空
My nephew’s 10-year-old son came for a visit one hot, July weekend. I persuaded him to   inside and joined him in a game. After  for an hour, I suggested that we relax for a while. I fell into my favorite recliner(躺椅)to let my neck muscles relax. He'd slipped out of the room and I was catching a few   moments of peace and quiet.
"Look,Alice,” he said  as he ran over to the chair where I was sitting "I found a kite. Could we go outside and   it?"
Glancing out a nearby window, I noticed it was  outside. “I'm sorry, Tripper,.” I said, sad to see his   eyes. "The wind is not blowing today. The kite won't fly.”
The  10-year-old replied, “I think it's    enough. I can get it to fly,” he answered as he ran out to the back door   .
Up and down in the yard he ran, pulling the kite   to a small length of string. He ran back and forth,as hard as his ten year-old    would carry him, looking back  at the kite behind. After about ten minutes of   determination, he came back in.
I asked, "How did it go?"
"Fine,”he said, not wanting to admit   .“I got it to fly some”
As he walked past me to return the kite to the closet shelf, I heard him say under his breath, "I guess I'll have to wait for the  .”
At that moment I heard another Voice speak to my   . "Alice, sometimes you are just like that. You want to do it your way   waiting for the Wind.”
And the voice was right. We usually want to use our own efforts to   what we want to do. We wait for the Wind only after we have done all we can and have exhausted(耗尽)our own   .We must learn how to rely on Him in the first place!
小题1:.
A.liveB.studyC.stayD.lie
小题2: .
A.playingB.restingC.challengingD.arguing
小题3:.
A.worriedB.troubledC.excitedD.enjoyable
小题4:.
A.casuallyB.enthusiasticallyC.stubbornlyD.deliberately
小题5:.
A.decorateB.dropC.hangD.fly
小题6:.
A.hotB.stillC.noisyD.fine
小题7:.
A.brightB.disappointedC.dullD.satisfied
小题8:.
A.cleverB.talentedC.determinedD.fearless
小题9:.
A.sunnyB.cloudyC.windyD.rainy
小题10:.
A.hurriedlyB.curiouslyC.suddenlyD.unwillingly
小题11:.
A.adaptedB.addedC.attachedD.devoted
小题12:.
A.mindB.bodyC.armsD.legs
小题13:.
A.angrilyB.nervouslyC.doubtfullyD.hopefully
小题14:
A.unsuccessfulB.successfulC.uncomfortableD.comfortable
小题15:.
A.winB.defeatC.mistakeD.luck
小题16:.
A.windB.orderC.newsD.sunshine
小题17:.
A.heartB.memoryC.dreamD.world
小题18:.
A.regardless ofB.instead ofC.in spite ofD.in case of
小题19:.
A.imagineB.decideC.applyD.accomplish
小题20:
A.courageB.patienceC.strengthD.knowledge
单项选择题