已知函数f（x）=2sin²x+sin2x﹣1．

（1）求函数f（x）的单调递增区间；

（2）设$f\left(\frac{x_0}{2}\right)=\cos \left(\frac{\mathrm{\pi }}{6}+\alpha \right)\cos \left(\frac{\mathrm{\pi }}{6}-\alpha \right)+{\sin }^2\alpha$，其中0＜x₀＜π，求tanx₀的值．

唐朝时既是当时各民族交往的中心，又是一座国际性的大都市的是（    ）

    A motto is a sentence or a phrase which can inspire us especially when we are ____ (face) with difficulties. Many of us use well-know ____ (say) as mottos, such as “Where there is a will, there is a way.” Or “nothing is difficult if you put your heat into it.”, and so on. My motto is “God helps those who help____ Sometimes I am lazy ____ don't want to make efforts to work hard, but the moment I think of my motto I will get____(energy) again and devote myself to what I am doing. I write my motto ____ I can see it easily. Every time I fail in my exam and begin to lose heart, the sight of my motto inspires me ____ much confidence. My motto also makes me become an ____ (dependent) person. That is to say, I won't rely on others ____ (easy). My friends, what is your motto? If you still haven't got a motto, please choose ____ because a motto can have a great effect on you.