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三、书面表达Make Winter Holiday More MeaningfulWinter holiday is coming.For many,the truemeaning of winter holiday lies in spending time withloved ones and sharing traditions.For some of usstudents,we can choose to go about this differently,thus making a difference to others.From providingfood for people in need to assisting in a nursing home,there are many wonderful things for us to do.In fact,there are many great organizations that love havingvolunteers during this holiday!Besides,you canencourage your neighbors and friends to organize aninteresting activity for the whole community.Make this winter holiday more meaningful andyou'll see that the world is becoming much better!
22.解：(1)由动点G到点F(4,0)的距离比到直线x十6=0的距离小2，可得动点G到点F(4,0)的距离与到直线x十4=0的距离相等，…1分故G的轨迹是以F(4,0)为焦点，以直线x十4=0为准线的抛物线，设抛物线方程为y2=2px（p>0),…3分则焦准距p=8,故G的轨迹方程为y2=16x.4分(2)由题意，直线MN的方程为y=k1(x一4)，5分由题意可知k1≠0，k2≠0，k1≠k2,y2=16.x,由消去y得k1x2-(8k十16)x十16k=0,…6分y=k1(x-4)△1=256(k好+1)>0，设Mn.N(的)，则十=8+号n十为=6（国-0+(-）=公.…7分故A(4+是尽)同理可求得B(+是，是）：88所以直线AB的斜率kBk2 k1kik28分(+4)-(+4)k1十k2故直线AB的方程为y竿年（一4景）十景竿（一十平空（一十4.…9分故直线AB过定点(4,4)，设该点为E(4,4),又因为FD⊥AB,所以点D在以EF为直径的圆上.10分由于E(4,4),F(4,0),EF=√(4一4)2+(4-0)2=4，故以EF为直径的圆的方程为(x一4)2+(y一2)2=4，故存在定点T(4,2),使得线段TD的长度为定值2.…12分
