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2.(★★★★★)Millions of people use contact lenses(隐形眼镜).For anyone who doesn’t mind sticking his fingers in his eyes,there are clear advantages:contacts correct vision better than glasses,are less often crushed underfoot,don’t make you look boring,and come in a huge variety of forms--soft,firm,colored,and even theatrical.

More and more people are turning to use of contact lenses.But are they safe?

Latest research from Australia shows that not all chemicals are effective in killing all germs(细菌)--and some of these germs can cause blindness in just 24 hours.

While most problems with contacts still can go back to poor hygiene(卫生)or overuse,not all sight-threatening conditions only happen to those who wash their lenses under the tap or decide,while tired and emotional,to sleep in their lenses for the third night running.

Two of the biggest eye-damaging killers--protozoan acanthamoeba and bacteria pseudomonas--are all around us,in our homes and water supplies.This seemingly harmless pair can cause blindness through keratitis(disease of the cornea).

“The cornea(角膜)is like a five-layered sandwich”,says Raymond Curran,a doctor from Omagh,Northern Ireland.“Once the bacteria get into a layer they can reproduce there and turn the cornea opaque(too dark to see through).”

An optician(验光师)may see one possibly sight-threatening case each month,but at an eye hospital there may be several each week.Acanthamoeba,often seemingly mild,can be misjudged until it is too late.Meanwhile,pseudomonas,more seriously,can cause increasing sight loss with each hour that passes.If not treated immediately,patients may need a corneal replacement.

And the really bad news,according to Professor Roger Buckley,at the Moorfields eye hospital in London,is that acanthamoeba is“one of the hardest germs on Earth”--it can survive in Antarctica.

Question 2:In the passage the writer mainly wants to tell us ________.

A.the possible danger of contacts

B.the importance of keeping contacts clean

C.some doctors’ opinions about contacts

D.the advantages and disadvantages of contacts

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1.(★★★★★)A World of Opportunity

The New York Times is now better than ever.

All the more reason to order home delivery now.

NEW-SEPARATE sections for The Arts.Monday through Thursday,and Sports 7 days a week that you can pull out,take with you or pass along.

NEW-The Dining In,Dining Out section,Wednesdays,a banquet (宴席) of great meals you can make yourself,order up or eat out.

NEW-The House & Home section.Thursdays,filled with useful,interesting features and articles about making the most of all sorts of living spaces.

NEW-An expanded,two-part Weekend section.Fridays,with more ideas about movies,shows,

art exhibitions,outdoor and indoor recreations.

Latest news and sports results daily.And of course,daily world and national news,Sunday’s special sections and all the other great features you’ll continue to find in The Times.

Find out just how much YOU can benefit from The Times every day.

Call 1-800-331-1969 or use the postage-paid order card to order convenient home delivery at 50% OFF our regular price.

Question 1:The main idea of this advertisement is that ________.

A.many opportunities will be provided just to those who order home delivery

B.several new sections have been printed separately from now on

C.readers can be well informed of the latest news and sports results

D.people can pick up all the information they are interested in

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5、过球面上三点的截面和球心的距离等于球半径的一半,且,则球的表面积为(  )

A.     B.     C.     D.

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4、在北纬45度线上有A、B两点,A在东经120度处,B在西经150度处,设球的半径为R,

则A、B两点的球面距离是(  )

A.    B.    C.   D.

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3、若球的大圆面积扩大为原来的9倍,则球的体积扩大为原来的(   )

  A.3倍    B.9倍     C.27倍    D.81倍

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2、正方体的内切球和外接球的表面积之比是(   )

  A.    B.    C.   D.

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1、一个四面体的棱长都是,则该四面体的外接球的表面积是(   )

A.     B.     C.   D.

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如图,圆柱的底面直径与高都等于球的直径,求证:

    (1)球的表面积等于圆柱的侧面积;(2)球的表面积等于圆柱全面积 

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  联想探索

联想①
展球面
 
    联想圆柱的侧面展开图,把球沿大圆剪开,由于球面不可展,所以这种方法不能求

   的表面积。

联想②
削球面
 
假设把球的表面象削苹果一样削下来,把每一个细条铺成平面,则球的表面积近似为

  条形的面积和。

联想③
分球面
 
把球面割成小方形,当分割无限细时,球的表面积等于小方形的面积之和。

联想④
割球面
 
把球分割成无数个“小圆柱”,当分割无限多时,小圆柱的侧面积即为球的表面积。

联想⑤
贴球面
 
联想用很小的正方形把球面贴起来,则小正方形的面积和为球的表面积。

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同步练习册答案