2023英语周报7年纪级答案

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15.x2=4y;±y【解析】本题考查抛物线,考查化归与转化的数学思想与运算求解能力设A(x1,y),B(x2,y)由抛物线的定义可得|AF=y+,BF|=y+,则|AF1+1BF|=y+y+p=6,即y+y2=6-p因为点M(0,4)在线段AB的垂直平分线上,所以|MA|=|MB|,则x+(y-4)2=n2+(y-4)2,因为x=2py,n=2py2,所以(y-y)(y+y+2p-8)=0,因为y≠y,所以y+y=8-2p,则8-2p=6-p,解得p=2,故抛物线C的方程是x2=4y.因为直线l过点F,所以直线1的方程是y=kx+.联立{y=kx+1,整理得一一4=0,则+=体,从面y+=k(x2+x2)+2=42+2,因为y+y2=6-p=4,所以4k2+2=4,解得k=士y

第三节书面表达wersionDear Sir or MadamMy name is Li Hua. As an exchange student fromChina, I am studying in a local school. I am reallydelighted to learn that a volunteer for your Chinese culturallic exhibition is required and I'm confident that I amtruly fit for thestart with, my advantage first lies in the fact that IChina and used to beand quite familiar with Chinese relics. Further-more, being an outgoing and optimistic boy, I am good atcommunicating with others and introducing Chinese cultureto the world is always my honor and my pleasure. Finallythere is no problem with my spoken English, as I havelived here for almost a year and I have no difficulty commu-dicating with others in EnglishI would really appreciate it if you can offer me thechance to be a volunteer in your museum. I am looking forward to your early reply.Li Hua

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