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如图,将半径为R的透明半球体放在水平桌面上方,O为球心,直径恰好水平,轴线OO'垂直于水平桌面。位于O点正上方某一高度处的点光源S发出一束与OO'的夹角θ=60°的单色光射向半球体上的A点,光线通过半球体后刚好垂直射到桌面上的B点,已知O'B=
3
2
R
,光在真空中传播速度为c,不考虑半球体内光的反射,求:

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   It's the end of class. When the bell rings, students of Luohu ForeignLanguages School in Shenzhen quickly take out their cell phones.
They want to log on to their micro blogs to check the interesting things that have happened in the last hour.
   Since last year, the trend (潮流) of micro blogging has swept the country. Recent surveys shows that most students in middle schools have a micro blog and some even update their blogs over five times per day.
   "We learn many fresh and interesting things on micro blogs and they have become popular topics in class," said Andy Liang, 14. "If you do not know about them, you are out of the loop."
   It is also a great place for students to let out stress. "My parents always ask me to study hard, and encourage me before exams, but it really adds pressure," said Simon Zhang, 15. "When I share these feelings on my micro blog, I get many replies from friends in the same situation, which makes me feel better."
   But parents are worried that micro blogging could be a waste of time. Some misleading messages may even cause danger to kids, they said.
   Mr. Shen, a professor at the China Education Association, suggests parents not worry too much as long as kids are not crazy about micro blogging. Maybe it can become a window for parents to understand their children.
   "If parents can read their children's micro blogs, they'll know their thoughts, thus leading to better communication and solutions to problems," he said. He also gives some tips for kids.
   -Don't micro blog for more than one hour a day.
   -Never micro blog in class.
   -Try to talk face to face with people from time to time.
   -Be critical(批判性的). Don't trust all the messages on a micro blog.