Recently I started discovering one thing which amazes me so much: how perfect everything is in the world we are living in! Just look, all day long we are busy working and just when we get tired, the night comes in, so we may sleep and relax. One day we may enjoy the bright sun and another day, when we get tired of the sun, the rain pours down.

    A few months ago I was so happy with my life. Later, I got tired from the happiness. I wished I would have some trial to strengthen my character and learn something new about life. I got what I wanted. Shortly after I got severe angina (心绞痛), so I had to stay home for several weeks. During this period I had time to rethink my life and discover myself. The lessons were terrific, but I felt grateful for this time.

    Another example: I have a friend, who primarily thinks about having fun. Once I thought why we get along well with each other and what in me attracts her. A couple of days ago I found the answer. I like calmness and silence. She likes noise and agitation (热闹). We attract each other just to balance ourselves, in other words, to give some drive to me and some calmness to her!

    So remember that the universe is so wise that it will try to balance you. As for me, this is perfect because extremes create suffering: too much food – too little food, too cold – too hot, too much fun – too little fun.

在下图梯形中，甲面积(   )乙面积

在平面直角坐标系xOy中，点P到两点(0,-$\sqrt{3}$)，(0,$\sqrt{3}$)的距离之和等于4，设点P的轨迹为C．

（1）写出C的方程；

（2）设直线y=kx+1与C交于A、B两点，k为何值时$\overrightarrow{OA}$$\perp$$\overrightarrow{OB}$？