台州中学2012高三正常期第二次统练自选模块台州中学2012高三正常期第二次统练自选模块.doc

台州中学2011-2012学年第二学期第二次统练试题 高三 IB选修模块 题号：03 【数学史与不等式选讲】 设均为正数，且 （1）求的最小值； （2）求的最小值. 题号：04坐标系与参数方程 在直角坐标系xOy中，以O为极点，x正半轴为极轴建立极坐标系，曲线C的极坐标方程为cos（）=1，M,N分别为C与x轴，y轴的交点。 （1）写出C的直角坐标方程，并求M,N的极坐标；w.w.w.k.s.5.u.c.o.m （2）设MN的中点为P，求直线OP的极坐标方程。 题号：05 阅读理解（分两节，第一节共4小题，第二节1小题；每小题2分，满分10分） 阅读下面短文，并根据短文后的要求答题。 The Importance of Being Silly We all, at one time or another, have pretended to be a rock star, singing and dancing along to our favorite song. 1 Me? I love to do that when I drive! I turn on the radio, find a song that I can sing along too and pretty soon my arms are in the air and I am moving along to the rhythm. Most of the time, I do this on my way to work． 　　Yes, that is true. I will be in my nice work clothes, jamming while driving or stopped at a traffic light. I get weird looks from some people and others laugh. Personally, I love to get lost in the rhythm of a song which leads me to share with you the importance of being silly! 　　 2 I know many people do not want to look foolish. So they walk around all serious, which in all honesty, is foolish! 　　No one is perfect, I repeat: no one is perfect. I don’t care how educated, how thin, how beautiful, how simple, how frugal, how rich, and so on… No one is perfect! So why pretend to be something you are not? Life is so short… 3 Here is a quote by Souza, that I think says it all and is a great recipe for life: 　　Dance as though no one is watching you; Love as though you have never been hurt before, Sing as though no one can hear you, Live as though heaven is on earth． 　　When we were kids, we had no idea of what limitations were and we had no care in the world so we could do things without worrying about how we appeared to others. However, as we grew up, we lost that childlike innocence． 　　So don’t lose the child that still lives within you. The next time you feel down, go turn on your favorite song, and sing and dance along like there is no tomorrow. Or watch something that makes you laugh. 4