题目

War started in our house in late July with a month to go before my first day of college．It was a battle of wills over what college I was to attend．Mom wanted me to attend a famous       .school, and I wanted to go to a small writing college．Every night for two weeks, we argued, shouted and gave       treatments until both sides went to bed with regrets． It was mostly my       ．Since my junior year of high school, I had       at being a nurse．I took all the science courses, and even worked as a       in my town’s local hospital．My    �7．已知函数f（x）=（a+1）x-lnx（a∈R）．（Ⅰ）若函数f（x）在点P（1，f（1））处的切线与直线y=2x+1垂直，求实数a的值；（Ⅱ）若函数f（x）在x∈（0，e]上的最小值为3，求实数a的值；（Ⅲ）当x∈（0，e]时，证明：e2x2-xlnx＞lnx+$\frac{5}{2}$x．