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20.(12分)(1)解:由已知△AFB是等边三角形,因为AB=2,AF=a,……2分所以a=2,得椭圆的标准方程为+少2=1.…4分(2)设C(x,y),D(x2,2),因为CA⊥AD,CB⊥BD,所以xx2+(%-1(2-1)=0,x为2+(以+1)(%+1)=0,…6分两式相减得y2=一少,…8分带回原式得xx2+1-2=0,因为手+疗-1,所以6=一各一10分4SSCADR=SACAB+SADARDk+(1+4s(当=士2时取等)5所以四边形CADB面积S的最大值为12分2
第二节【参考范文】George rang one day and asked me to go to his house,saying he needed to ask me something.While hisdear wife Dorothy served tea and cake,George explained that he was giving up painting and giving away allhis 'stuff'.Everything-paints,boards,canvases,completed works,the rolling pin and even the preciousred tool box!"I can't paint,Bella.I don't know why I ever thought I could,"he declared.He was mistakenabout his painting ability because he had turned out some unique and wonderful works.However,George haddecided he was through with painting,and no amount of talking could persuade him otherwise.And so it was that George left all his painting equipment to me."You have the best talent and are mostlikely to use it well,"he said.After considerable persuasion,I accepted this precious gift,insisting that hecould reclaim it at any time.He never did,of course,and I still use much of his equipment today,more than20 years later.As I paint,I often remember George,his sunny personality,generous spirit and unfailingencouragement.The red tool box witnessed a friendship that lasted for 25 years-until the day he passedaway.