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问题 选择题
设AB是椭圆
x2
a2
+
y2
b2
=1（a＞b＞0）的长轴，若把长轴2010等分，过每个分点作AB的垂线，交椭圆的上半部分于P1，P2，…，P2009，F1为椭圆的左焦点，则|F1A|+|F1P1|+|F1P2|+…+|F1P2009|+|F1B|的值是（　　）
A．2008aB．2009aC．2010aD．2011a
答案

由椭圆的定义可知|F1Pi|+|F2Pi|=2a（i=1，2…，2009）

∴|F1P1|+|F2P1|+|F1P2|+|F2P2|+…+|F1P2009|+|F2P2009|=2a×2009=4018a

由题意知点P1，P2，…，P2009关于y轴成对称分布，

∴|F1P1|+|F1P2|+…+|F1P2009|=

1
2
（|F1P1|+|F2P1|+|F1P2|+|F2P2|+…+|F1P2009|+|F2P2009|）=2009a，

又∵|F1A|+|F2B|=2a

故所求的值为2011a．

故选D

单项选择题

（）是指值得个人投入一生心力，以获得最大人生价值的生涯目标

A.工作（work/job）

B.职业（vocation）

C.事业（Enterprise）

D.生涯（career）
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单项选择题

I shouldn’t let it bother me. It really doesn’t matter anyway. But it does bother me ! All those people are preparing to (21) a new century, a new millennium (千年) as well. And it just isn’t (22) !
Most of us schedule our lives by the Gregorian (23) . Our years are measured from the (24) of Christ. The first year of the first century is 1, or 1 A.D. The last year of that century is the year 100. Simple Yes! A century is 100 (25) long. A millennium is 1,000 years long, which is (26) ten centuries.
Since the last year of the first century is the year 100, the first year of the (27) century is 101. Follow that pattern, century by century and you’ll get my (28) . The year 2000 is the last year of the twentieth century. After all, (29) thousand means twenty hundreds. Twenty hundred years means twenty centuries. The year 2000 is the (30) , the final, the one that’s still here, year of the twentieth century!!!!
I know, I’m getting too (31) . But it isn’t fair, While most people will really be enjoying this coming (32) celebration, those of us in the know will be yawning. Everyone else will be (33) for the new millennium and we’ll be saying, "It’s not until next year."
I don’t agree with the (34) , "Ignorance is bliss." But in this case, perhaps it’s (35) .

A．Thanksgiving

B．Christmas

C．New Year’s

D．weekend
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