题目

我们给出如下定义：对函数，若存在常数（），对任意的，存在唯一的，使得，则称函数为“和谐函数”，称常数为函数的 “和谐数”. （Ⅰ）判断函数是否为“和谐函数”？答：       . 是（填“是”或“否”）如果是，写出它的一个“和谐数”：           . （Ⅱ）请先学习下面的证明方法： 证明：函数，为“和谐函数”，是其“和谐数”； 证明过程如下：对任意，令，即， 得.∵  ，∴. 即对任意，存在唯一的，使得 . ∴为“和谐函数阅读下列短文，从每题所给的四个选项中，选出最佳选项。 　　On Semngoon Road in Singapore，something interesting is happening：fast food with a difference．This street is surrounded by skyscrapers，modern shopping malls, and office buildings．It looks like a South Indian bazaar．It has Indian shops．In the Thosai cafe，food is served on banana leaves．And it also has an Indian vegetarian fast food restaurant called Komala's．This restaurant is becoming as popular as McDonold's． 　　Komala's looks like an American fast food restaurant．It has plastic chairs and tables that are attached to the floor．There's also a children's playground in the restaurant．What makes it different is its menu，which is all Indian and vegetarian． 　　It offers more choices of food than most fast food restaurants do．The menu is on the wall above the cashiers．The prices are low，and once the orders are taken and paid for，the customer is given a token to present to the food counter．The customer turns in the token picks up the food． 　　The food is ready in about tow minutes．If It's for takeout，it is wrapped and put in a bag．If the customer eats in the restaurant，they eat from metal plates and cups，on a tray covered with paper This paper shows pictures of the food that is available at Komala's． 　　The menu offers more than ten kinds of thosai，steamed buns，and many other types of Indian foods．These come accompanied by curries and chutneys．There are also mini-meals for children．Which include lassi，a sweetened yogurt drink，and ice-cream． 　　On Sundays，a lot of Indian families come here for a vegetarian dinner after going to the nearby temple．Komala's is airconditioned，the seats are good，the service is very fast，and it's very neat and clean．This isn't true of other restaurants in the neighborhood． 　　“This is an amazing place，”says Sim Tang，a Chinese office worker who eats at Komala's afterwork．“My Indian friends told me about it．I have come here ever since．I enjoy some thosai and tea．” 　　Komala's is so popular，it may open in India，Australia，and Malaysia．More will open in Singapore soon．The restaurant owner says that when people eat at Komala's，they feel like part of the international community． 1．It can be learned from the passage that fast food isn't served in________． [　　] A．Thosai cafesB．Komala's C．McDonald'sD．South Indian bazaar 2．Komala's is quite different from other fast food restaurants because________． [　　] A．the food is all Indian and vegetarian B．it has a children's playground C．it has more choices of food D．the customer is given a token 3．What can you infer from the passage？ [　　] A．People can enjoy the same food in other restaurants nearby． B．Children probably like Komala's very much． C．Komala's will open in Singapore soon． D．On Sundays，many Indian families go to the nearby temple． 4．Which of the following could be the best title for the passage？ [　　] A．Komala's-Fast Food with a Difference B．An Amazing Place C．More Choices for Food D．Part of the International Community