设f(x) = x2(2-x)，则f(x)的单调递增区间是（   ）

根据语境，仿照画线句子续写一句，构成语意连贯的一段话。

在这个世界上，只要你有真实的付出，就会发现许多门都是虚掩着的：在商界中，你付出智慧，就会发现财富的大门是虚掩着的；在感情上，你付出真诚，就会发现友谊的大门是虚掩着的；____，____,____

      Mr Jones was a millionaire(百万富翁). One day he went to stay at a hotel in New York. He hoped to have the cheapest room to live in. Mr Jones asked, "What price(价格) is the room?". The boss (老板) told him. "And which floor is it on?" Again the boss told him. "Is that the cheapest room you have? I' m staying here by myself and only need a small room. "
     The boss said, "That room is the smallest and cheapest we have. But why do you choose a poor room like that? When your son stays here, he always stays at our dearest room. Yours is the cheapest. " "Yes," said Mr Jones, "his father is a very rich man, but mine isn' t.

“π是无限不循环小数，所以π是无理数”以上推理的大前提是(  )

已知椭圆E： $\frac{x^2}{a^2}+\frac{y^2}{b^2}$ =1（a＞b＞0）的离心率e= $\frac{\sqrt{3}}{2}$ ，并且经过定点P（ $\sqrt{3}$ ， $\frac{1}{2}$ ）．

（Ⅰ）求椭圆E的方程；

（Ⅱ）问是否存在直线y=﹣x+m，使直线与椭圆交于A、B两点，满足OA⊥OB，若存在求m值，若不存在说明理由．