问题 解答题

由0,1,2,3,4,5共六个数字可组成多少个没有重复数字且能被5整除的六位数?

答案

216

组成的六位数与顺序有关,但首位不能排0,个位必须排0或5,因此分两类:第一类:个位数排0,此时前五位数由1,2,3,4,5共五个数字组成,这五个数字的每一个排列对应一个六位数,故此时有=120个六位数.第二类:个位数排5,此时为完成这件事(构造出六位数)还应分两步,第一步排首位,有4种排法,第二步排中间四位,有种排法,故第二类共有种排法,以上两类排法都符合题目要求,所以共可组成120+96=216个.

单项选择题 B型题
完形填空
Once there was a very brilliant, creative and educated man. He gained much  36  while traveling throughout the world.  37 , he lost his legs and left arm in a tragic accident, leaving only a finger and thumb on his right hand. He became so depressed(沮丧的)that he was afraid he would spend his life 38  and would no longer be able to use his life in a(n)   39  way.
One day, he remembered how he had always loved getting  40  . He realized that he still had partial   41  of his right hand and could write with  42 . Then, he had an idea. “Why not write to other people who need encouragement?”
He  43  where he could find those who could be encouraged if they read his letters. He thought of people in  44 . Many of them had hope of regaining their  45 . Others would keep feeling depressed and remain put away for the rest of their lives. He decided that he must try to  46 them. So he wrote to a prison ministry about sending letters to the prisoners. The prison minister replied that writing to the prisoners would be  47 . However, it would be against prison rules for the prisoners to write back.
 48 with the intention, the man began sending 49 messages of God’s love, hope, strength, and encouragement. He wrote twice a week, testing his strength and ability to the limit. He poured his heart and soul  50 his words,  51  his experience, sense of humor, optimism, and faith.
It was difficult to write those letters, especially without hope of any  52 . Frequently, he felt discouraged, wondering if anyone  53  read his letters. However, this was his  54   chance,so he determined to continue.
At last, he received a letter from the prison officer, which said, “Please write on the best paper you can afford. Your letters are passed from cell (牢房) to cell until they almost fall to   55 !”
We all have unique experiences, abilities and talents. We can discover ways to reach others in need of encouragement and strength.
小题1:
A.wealthB.faithC.experienceD.confidence
小题2:
A.UnfortunatelyB.Fortunately
C.SurprisinglyD.Unbelievably
小题3:
A.writing B.sufferingC.weepingD.wandering
小题4:
A.abnormalB.regularC.comfortableD.meaningful
小题5:
A.presentsB.e-mailsC.lettersD.prizes
小题6:
A.senseB.strengthC.shapeD.function
小题7:
A.affectionB.cautionC.difficultyD.confidence
小题8:
A.evaluatedB.doubtedC.assumedD.wondered
小题9:
A.hospitalsB.churchesC.prisonsD.charities
小题10:
A.familiesB.lettersC.freedomD.conscience
小题11:
A.keep in touch with B.get in touch with
C.defendD.know
小题12:
A.acceptableB.reasonableC.prohibitedD.considered
小题13:
A.FacedB.FilledC.SatisfiedD.Annoyed[
小题14:
A.holyB.dailyC.one-wayD.round-way
小题15:
A.downB.in C.outD.into
小题16:
A.sharingB.learningC.gainingD.enriching
小题17:
A.successB.replyC.helpD.progress
小题18:
A.curiouslyB.patientlyC.carefullyD.actually
小题19:
A.onlyB.betterC.extraD.lost
小题20:
A.ruinB.piecesC.the groundD.the bottom