22.【命题意图】本题考查直线与圆相切,求椭圆方程以及面积的最值.【解析】(1)因为直线x y 3√2=0与圆x2 y2=a2相切,所以圆心(0,0)到直线x y 3√2=0的3距离为3又因为PM=3MF,所以所以c=1,所以b2=8所以椭圆C的标准方程为 (2)①当直线/的斜率不存在时,显然直线l与椭圆C没有交点,不符合题意②当直线l的斜率为0时,显然A,B,F构不成三角形,不符合题意分③当AB的斜率存在且不为0时,设AB:x=my-9得(8m 9)y2-144my 576=0设A(x1,y1),B(x2,y2),故有△>0,即44m576分)所以S△ABF=S△PBPAFPF12144(10分)8m2 99,t>0192r于是S△ABF当且仅当81等号成立(此时适合△>0)所以△ABF面积的最大值为(12分)
第二节(满分25分)One possible versionThen came the Rajasthan /v trip which was our official last trip I hanged out with my otherErieiends while she with the other two girls. I wasn,t enjoying this trip at all, which she could makeBout. When she saw me approaching the common washroom, she followed me in and shut thedoor. I didn 't know how to react. She gave me a tight hug and broke down. My tears were alsoout of control We knew we both wanted to be in each others company. We promised to growmature and let it not affect our friendshipaozIt's been almost 7 years after graduation since we picked up our friendship. Shes one of thefew people I really count on in my life. She's been with me through all my struggles, helping meconstantly to grow into a better individual. So have I. The only learning from our relationshipis-if someone is meant to be in your life, they will ensure they stay around some way or theher Willingness to keep a relationship should come from both the sides
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