题目

I often recall those good old days. At that time life was relatively simpler, and people were much more 41  and gentler. Recently, to my surprise, I got the opportunity to experience that same warmth that I thought had    42from the fast-moving world. I was out shopping the other day with my husband, two daughters and one  43. It was a burning hot day, and we were all visibly tired and hungry. We entered a restaurant, looking for some   44   and comfort. To our disappointment, waited, tired and   47       . After quite some time, one table was vacated(空出), but tha17．已知函数f（x）=2aex+1，g（x）=lnx-lna+1-ln2，其中a为常数，e≈2.718，函数y=f（x）的图象与坐标轴交点处的切线为l1，函数y=g（x）的图象与直线y=1交点处的切线为l2，且l1∥l2．（Ⅰ）求a的值．（Ⅱ）若对任意的x∈[1，5]，不等式x-m＞$\sqrt{x}f（x）-\sqrt{x}$成立，求实数m的取值范围．（Ⅲ）若F（x）=λx2-x+1-g（x）（λ＞0）有唯一零点，求λ的值．