指数与对数函数幂函数知识点总结(共4页).doc

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1、精选优质文档-倾情为你奉上指数函数与对数函数知识点总结（一）指数与指数幂的运算1根式的概念：一般地，如果，那么叫做的次方根，其中1，且*负数没有偶次方根；0的任何次方根都是0，记作。当是奇数时，当是偶数时，2分数指数幂正数的分数指数幂的意义，规定：0的正分数指数幂等于0，0的负分数指数幂没有意义3实数指数幂的运算性质（1） ；（2） ；（3）（二）指数函数及其性质1、指数函数的概念：一般地，函数叫做指数函数，其中x是自变量，函数的定义域为R注意：指数函数的底数的取值范围，底数不能是负数、零和12、指数函数的图象和性质a10a10a0，则幂函数的图象通过原点，并且在区间上是增函数；（4）如果a0

2、，则幂函数在区间上是减函Not surprisingly, many aspects of peoples daily lives have undergone considerable changes because of the recent development in technology. It is a particular concern that the pace of everyday life is becoming faster, resulting from the development in cars, air travel, telecommunications

3、technology and the Internet 。 As well as benefits, this trend is to bring problems.On the positive side, the fast rhythm of life requires people to enhance efficiency when working and then allows them to enjoy longer leisure time. With the advance in technology people can make inquires by phone, ins

4、tead of travelling long distances, Internet access makes it possible (for one to perform various tasks without leaving their offices. Even though people have to travel every now and then, for meeting business partners, visiting clients in other cities or other purposes, modem transport networks redu

5、ce the amount of time they spend on commutes.The acceleration of the pace of life also implies the expansion of peoples social circle. In the past, social relationships were limited by physical factors such as geographical distance and low mobility, but nowadays, one can travel further and get acqua

6、inted with more people with those technological advances, such as the railroad, the automobile and the telephone. For instance, the rapid penetration of telecommunications technology has made the mobile phone a key social tool and people rely on their mobile phone address book to keep in touch with

7、their friends.On the negative side, the fast-paced lifestyle is responsible for the upsurge in lifestyle-related problems. Jobs become demanding and require workers full commitment, resulting in their depression and pressure. Underneath the facade of continued contraction of official working hours,

8、employees are actually working longer, primarily because fax, e-mail or other communication devices have made them accessible to their supervisors, colleagues and customers after work. They have to respond instantly to voice and email messages from others. Private life has to be sacrificed.According

9、 to the facts outlined above, the doubts about the negative effects of the acceleration of pace of life are not well-grounded. People now enjoy greater well-being, which is reflected in more quality family time, less travel-related stress and close contact with friends and family members. However, they might have to accept frequent intrusions as a by-product of convenient communication.专心-专注-专业