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16.已知圆C:x[文]2+y2=1,点P[章]在直线x一y一2=[来]0上运动，若圆C上[自]存在两点A,B,使[知]得PA⊥PB,则点[嘛]P的坐标是(1,-[答]1)【解析】过点P[案]作圆C的切线PA',PB',设切点分别为A',B',则∠A'PB≥90°时圆C[网]上存在两点A,B,[文]使得PA⊥PB.当[章]∠A'PB'=90°时，四边形[来]CA'PB'为正方形，此时CP[自]=√I十1严=√2[知]，分析易得∠A'PB'≥90°时，CP≤[嘛]2，所以点P的轨迹[答]方程为x2+y≤2[案].又点P在直线x-[网]y-2=0上，所以[文]联立T+y≤2，解[章]得P(1,x-y-[来]2=0,-1).*[自]已知圆x2十y2=[知]4与圆x2十y2一[嘛]6x十2y十6=0[答]关于直线L对称，则[案]直线l的方程为【答[网]案】3x-y-5=[文]0【解析】圆x2+[章]y2=4的圆心坐标[来]为O(0,0).由[自]圆x2十y2-6x[知]+2y十6=0的标[嘛]准方程为(x一3)[答]2十(y+1)2=[案]4,可得圈心A(3[网],-1D,则OA的[文]中点坐标为(，-》[章]，且0A的针率为k[来]=-号，戴所求直线[自]1的斜率为k3,所[知]以直线1的方程为y[嘛]-(-2)=3(x[答]-2),即3虹-y[案]-5=0.
One possible version:D[网]ear William,I[文]'m glad that you want to travel around China througha virtual travel website.T[章]he one I'd like to recommend[来] iswww.vir[自]tualtrave[知]l.com.The[嘛] website offers 3D virtual tours of many amazingsi[答]ghts in China.You[案] can register on the website or down-load[网] the app.If you want to take photos in a place you areintere[文]sted in,just click the mouse.The[章] popular sights are the Old Town of Lijiang,W[来]estLake,M[自]ount Tai,the Palace Museum,et[知]c.I wish youhave a wonderful[嘛] time.Your[答]s,Li Hua
