题干

设函数 f(x)={(
1
2
)
x−2
(x≥2),
log2x(0<x<2)
,
   若 a≠b 且 f(a)=f(b)=c  , f′(b)<0 ,则 a,b,c 取值范围分别是____.
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1<a\u23292,b\u232a2,0<c

同类题1

阅读理解

Finding the Real You

    Psychometric testing—personality testing—has been very popular nowadays as studies show their results to be three times more accurate in predicting your job performance. These tests are now included in almost all graduate recruitment (招聘) and are widely used in the selection of managers.

    The most popular of these personality tests is the Myers-Briggs Type Indicator (MBTI). It is based on the theory that we are born with a tendency to one personality type which stays more or less fixed throughout life. You answer 88 questions and are then given your “type”, such as Outgoing or Quiet, Feeling or Thinking.

    Critics of personality testing raise doubts about “social engineering”. Psychologist Dr. Colin Gill warns that the “popular” personality traits (特性) have their disadvantages. “People who are extremely open to new experiences can be butterflies, going from one idea to the next without mastering any of them.” However, the psychometric test is here to stay, which may be why a whole sub-industry on cheating personality tests has sprung up. “It's possible to cheat,” admits Gill, “but having to pretend to be the person you are at work will be tiring and unhappy and probably short-lived.”

    So can we change our personality? “Your basic personalities fixed by the time you're 21,”says Gill, “but it can be affected by motivation and intelligence. If you didn't have the personality type to be a doctor but desperately wanted to be one and were intelligent enough to master the skills, you could still go ahead. But trying to go too much against type for too long requires much energy and is actually to be suffered for long. I think it's why we're seeing this trend for downshifting—too many people trying to fit into a type that they aren't really suited for.”

    Our interest in personality now exists in every part of our lives. If you ask an expert for advice on anything, you'll probably be quizzed about your personality. But if personality tests have any value to us, perhaps it is to free us from the idea that all of us are full of potential, and remind us of what we are. As they say in one test when they ask for your age: pick the one you are, not the one you wish you were.

同类题5

阅读下列材料:
材料一 在唐初诸帝时代,中国的温文有礼、文化腾达和威力远被,同西方世界的腐败、混乱和分裂对照得那样地鲜明,以致在文明史上立刻引起一些最有意思的问题。中国由于迅速恢复了秩序和统一而赢得了这个伟大的领先。
                                                                                                                                                             ——韦尔斯《世界史纲》
材料二 清朝在康熙、雍正、乾隆帝时期,经过同外部侵略势力及内部民族分裂势力的一系列重大斗争,建立起一个空前统一和巩固的国家。这就基本奠定了今天中国疆域的规模。  
                                                                                                                                                            ——张传玺主编《中国古代史纲》
材料三 内战首先使美国原来宪政机制中分裂的主权得到了统一。它为美国大工业化的发展,准备了条件。这个是一个先行,如果说,主权得不到统一,领土不能够得到统一,或者劳动力体制得不到统一的话,后面的大工业化还会推迟,或者不会产生这么大的效果。
很多美国历史学者认为,南北战争是美国历史上的一道分水岭。联邦政府从此变得强大起来,美国的农业、工业以及整个国家都发生了重要的转变。                              
                                                                                                                                                           ——《大国崛起 美国》
请回答:
(1)根据材料一,指出唐初中国“文化腾达和威力远被”的原因,并结合所学知识,列举唐初中国“文化腾达”的事例。
(2)根据材料二,概括指出康熙、雍正、乾隆帝对中国历史的贡献是什么?结合所学知识,举出一个清朝同内部民族分裂势力作斗争的例子。
(3)根据材料三,归纳美国内战的作用是什么?结合所学知识,指出美国联邦政府成立于何时?
(4)综上,纵观古今中外历史,你认为对“中华民族伟大复兴”的实现有何借鉴?