问题
问答题
设f(x)在区间[0,1]上连续,在(0,1)内可导,且f(0)=f(1)=0,,试证:
存在[*],使f(η)=η。
答案
参考答案:
由题设,引入辅助函数φ(x)=x-f(x),则φ(x)在[0,1]上连续,由已知条件f(1)=0及,知φ(1)=1-f(1)=1>0且
设f(x)在区间[0,1]上连续,在(0,1)内可导,且f(0)=f(1)=0,,试证:
存在[*],使f(η)=η。
参考答案:
由题设,引入辅助函数φ(x)=x-f(x),则φ(x)在[0,1]上连续,由已知条件f(1)=0及,知φ(1)=1-f(1)=1>0且
完形填空 | ||||
For 52 years my father got up every morning at 5: 30 a. m., except Sunday, and went to work.I__1__ saw my father home from work ill.He had no hobbies, __2__taking care of his family. For 22 years, __3__I left home for college, my father__4__me every Sunday at 9?00 a. m..He was always interested in my__5__, or how my family was doing, and I never once heard him__6__about his lot (生活状况) in life.The calls even came when he and my mother were in other states. Nine years ago when I__7__my first house, my father,67 years old, spent three days__8__my house. He would not__9__me to pay someone to have it done.All he __10__was a cup of tea, a paint brush and to talk to him.But I was too__11__.I had a law practice to run, and I could not take__12__to hold the brush, or talk to my father.__13__things happened several times later. The morning on Sunday.January 16,1996, my father telephoned me__14__, this time from my sister's home in Florida.But the__15__came again at 4?40 p. m.that day.My father was in the__16__in Florida with an aneurysm (动脉瘤). I got on an airplane__17__, and on the way, I__18__of all the times I had not ta ken the time to talk to my father.I determined that when I arrived, I would__19__for the lost time, and have a nice long talk with him. I arrived in Florida at 11?30 p. m., my father had__20__at 9?12 p. m..This time it was he who did not have time to talk, or to wait for me. | ||||
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