问题 解答题

从1,2,3,…,2004中任选K-1个数中,一定可以找到能构成三角形边长的三个数(这里要求三角形三边长互不相等),试问满足条件的K的最小值是多少?

答案

为使K达到最大,可选加入之数等于已得数组中最大的两数之和,这样得:

1,2,3,5,8,13,21,34,55,89,144,233,377,610,987,1597 ①

共16个数,对符合上述条件的任数组,a1,a2…an显然总有ai大于等于①中的第i个数,

所以n≤16≤K-1,从而知K的最小值为17.

阅读理解

Everybody has had at least one experience from which he knows the meaning of life. This time, which took place several years ago, but seems as if it just happened.

On an afternoon several years ago, my brother-in-law opened the bottom drawer of my sister’s dress and picked out a beautiful skirt. “ Jan bought this the first time we went to New York, at least 8 or 9 years ago. She never wore it. She was saving it for a special occasion.” he said.I guess this was the occasion: it was the funeral of my sister, after her unexpected death.

He took the shirt and put it on bed, with the other clothes we were taking to the funeral. Then he closed the drawer and turned to me, “Don’t ever save anything for a special occasion. Every day you’re alive is a special occasion.”

I’m thinking about his words, and they’ve changed the way I live my life. I’m spending more time with my family and friends and less time in committee meetings. Whenever possible, life should be a kind of experience to enjoy, not to suffer. “Someday ”and “one of these days ”are losing their importance  on my vocabulary. If it’s worth seeing or hearing or doing, I want to see and hear and do it now.

Ever since that day, I have been trying very hard not to put off, hold back or save anything that would add laughter and color to our lives. Every morning when I open my eyes, I tell myself that every day, every minute, every breath, truly is a gift. So cherish every day and find the true meaning of your life.

小题1:Why did Jan buy the beautiful skirt but didn’t wear it?

A.She waited for a special occasion to wear it on.

B.She wanted to keep it for someone else.

C.She saved it till she grew up.

D.She would give it to herself as a gift some day.小题2:What does the underlined word “cherish” mean?

A.Treasure.

B.Waste.

C.Own.

D.Save小题3:From his experience, the author learns that_______.

A.everybody can have a happy life through efforts

B.every day in our lives is worth cherishing

C.enjoying ourselves is the most important thing in our lives

D.everybody will have some things left to do after his death小题4:What’s the best title for this passage?

A.Every Day IS a Gift

B.My Sister Jan

C.What Is the Meaningful Life like

D.The Most Important Time in Your Life

单项选择题