20.(12分解:(1)由已知得F(1,0),1分直线l:x=my+1与y2=4x联立消去x得,y2-4my-4=0设A(x1,y1),B(x2,y2),则y+y2=4m,y1y2=-42分由|AF|·|BF|=8,得(x1+1)(x2+1)=(my1+2)(my2+2)=8,3分即m2y1y2+2m(y1+y2)+4=-4m2+8m2+4=8,得m2=1,m=1或m=-14分所以直线l的方程为y=x-1或y=-x+1.…5分因为直线l过点F且⊥,所以用一上替换m,得N(m2+1,(2)由(1)知,yM=2m,所以xM=myM+1=2m2+1,所以M(2m2+1,26分7分当m2≠1时,MN:y-2、2mx(x-22整理化简,得y(x-3)所以当m2≠1时,直线MN过定点(3,0);………………8分当m2=1时,直线MN的方程为x=3,过点(3,0).………………………………9分所以点T的坐标为(3,0)10分设点T到直线l和的距离分别为d1,d2,由l⊥(,|FT=2,得d+dl=4,,,,,·,,,,,,,,,,·,,,,,,,,,,,,,,,,,,,,,·,·,,,,,,,,,,,,,,,,,·,,,,,…………11分因为(d1+d2)2≤2(d1+d2)=8,所以d1+d2≤2y2,当且仅当d1=d2=2时等号成立所以点T到直线l和l的距离和的最大值为2√212分

作文范文Dear peterI'm Li Hua. I have some good news to tell you that our city museum will hold a specialexhibition to make the chinese traditional folk cultures well known. so i'm writing to inviteyou to visit it with meNow I will give you a detailed description of the exhibition. It will start from April 6 andend on May 6. There will be a total of 1,000 items to be showed at the exhibition and many ofthem are traditional Chinese festival decorations such as Spring Festival couplets and lanternsThe exhibition will not only present us with antique collections, but will also allow theaudience to involve themselves in the cultural atmosphere of ancient China. Lets decide onthe date if you're freeLooking forward to your reply

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