题目

已知定义为的函数满足下列条件：（1）对任意的实数都有：，（2）当时， . （Ⅰ）求； （Ⅱ）求证：在上为增函数； （Ⅲ）若，，关于的不等式对任意的恒成立，求实数的取值范围． 答案：解：（Ⅰ）令，由得        ∴                  ———2分 （Ⅱ）任取，且设，则                       由得 ∵当时，      ∴ ∴    ∴在上为增函数               ———5分 （Ⅲ）由即得     ∴ ∴ ∵ ∴ 由不等式得 ∴    则 整理，得  设函数，当时，对称轴Many of us spend a great deal of time and energy trying to prove that we are right and others are wrong. Many people  21   that it’s their job to show others how their positions, statements, and points of view are   22   , and that on doing so, the person they are correcting is going to somehow  _23  it, or at least learn something. Wrong! Think about it. Have you ever been  _24  by someone and said to him, “Thank you so much for showing me that I’m wrong and you’re right”? Or, has anyone you know ever   25  you when you corrected them, or made yourself “right” at their  26   ? Of course not. The truth is, all of us   27  to be corrected. We all want our position to be   28   and understood by others. Being listened to and heard is one of the greatest  29   of the human heart. And those who learn to  30   are the most loved and respected. Those who are in the   31  of correcting others are often resented(怨恨 ) and   32    . A wonderful way for becoming more peaceful and loving is to practice   33    others the joy of being right ---give them the glory.   34  correcting. When someone says, “ I really feel it’s important to …”, rather than breaking   35   and saying, “No, it’s more important to… “, simply let it go and allow their statement to  36   . The people in your life will become less defensive and more   37   . They will appreciate you more than you could ever have   38   . You’ll discover the joy of joining in and witnessing other people’s   39   , which is far more rewarding than a battle of egos( 自我 ). Starting today, let others be  “ 40 ”  , most of the time. 1.A. believe          B. doubt          C. prove          D. tell 2.A. unimportant      B. unbelievable  C. incorrect      D. imperfect 3.A. consider         B. appreciate     C. understand   D. refuse 4.A. fooled           B. helped         C. taught         D. corrected 5.A. thanked          B. rewarded       C. cared          D. accepted 6.A. side             B. price          C. expense        D. value 7.A. like             B. hate           C. prefer         D. afford 8.A. admired          B. received       C. realized       D. respected 9.A. shortcomings     B. advantage      C. desires        D. wishes 10.A. talk            B. praise         C. help           D. listen 11.A. habit           B. form           C. position       D. purpose 12.A. punished        B. avoided        C. left           D. laughed 13.A. letting         B. lending        C. allowing       D. owing 14. A. Stop           B. Continue       C. Practise       D. Try 15.A. out             B. up             C. in             D. off 16. A. last           B. send           C. work           D. stand 17.A. helpful         B. loving         C. careful        D. popular 18. A. dreamed        B. requested      C. asked          D. demanded 19.A. sufferings      B. worries        C. progress       D. happiness 20.A. happy     B. right    C. sorry    D. proud