（Ⅰ）求实数a的值；

（Ⅱ）若对任意x∈（ $\frac{2}{3}$ ，+∞），（x+1）f（x）≥m（2x﹣1）恒成立，求实数m的取值范围；

（Ⅲ）设g（x）= $\frac{\left(x+1\right)f\left(x\right)}{x\left(\sqrt{e}+e^x\right)}$ ，T_n=1+2g（ $\frac{1}{n}$ ）+g（ $\frac{2}{n}$ ）+g（ $\frac{3}{n}$ ）+…+g（ $\frac{n-1}{n}$ ）（n=2，3…）．问：是否存在正常数M，对任意给定的正整数n（n≥2），都有 $\frac{1}{T_3}$ + $\frac{1}{T_6}$ + $\frac{1}{T_9}$ +…+ $\frac{1}{T_{3n}}$ ＜M成立？若存在，求M的最小值；若不存在，请说明理由．

以下是小明同学对一些工具及其原理的总结，其中说法正确的是（　　）

莹莹在日记中写道：“自从进入青春期后，我时而高兴，时而又很自卑；时而希望父母帮助，时而又觉得自己是一个独立的人；时而觉得自己人缘很好，时而又觉得自己很孤独……”莹莹的这些表现说明（    ）

阅读下面短文，按照句子结构的语法性和上下文连贯的要求，在空格处填入一个适当的词或使用括号中词语的正确形式填空。

     One morning，I was waiting at the bus stop，worried about ____（be） late for school.There were many people waiting at the bus stop，____ some of them looked very anxious and____（disappoint）．When the bus finally came，we all hurried on board.I got a place next ____the window，so I had a good view of the sidewalk.A boy on a bike ____（catch） my attention.He was riding beside the bus and waving his arms.I heard a passenger behind me shouting to the driver，but he refused ____（stop） until we reached the next stop.Still，the boy kept ____（ride）．He was carrying something over his shoulder and shouting.Finally，when we came to the next stop，the boy ran up to the door of the bus.I heard an excited conversation.Then the driver stood up and asked，“____ anyone lose a suitcase at the last stop？”A woman on the bus shouted，“Oh dear！It's____（I）．”She pushed her way to the driver and took the suitcase thankfully.Everyone on the bus began talking about what the boy had done，and the crowd of strangers____（sudden） became friendly to one another.

下列语序正确的是(注意逻辑联系)(   )

①可是，现在的潮流在何方呢？

②那些伟人从小就出手不凡，走在潮流前头。

③鲁智胜居然也做伟人梦，贾里真想大叫一声。

④贾里前不久从鲁智胜那儿借来一本书，是介绍伟人少年时的情况的。