2022英语周报高二综合试题答案

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20.【解】(1)由已知椭圆C的一个焦点与抛物线y2=4√3x的焦点(3,0)重合,∴c=√3,a2-b2=3,①把点(2,2)代入椭圆方程得2+=1,②a=2解①②联立的方程组得故所求椭圆Cb=1的方程为+y2=1.(2)设直线l的方程为y=kx+m,代入分y2=1,整理得(4k2+1)x2+8kmx+4m2-4=0,△=64k2m2-4(4k2+1)(4m2-4)>0,即4k2-m2+1>0设M(x1,y1),N(x2,y2),1+8km4k2+1则4m2-4124k2+1yIyi =(k t m)(kxz t m)=kxix2+km(x1+x2)+m2=2m2-4k28k2m24k2+14k2+1m2-4k4k2+1kky2k,kJ1 J2 J1 ym2-Akx1k+142,∵kk为定值,设4m2-4m2-4k4k2+为λ,则4k4m2-4λ,整理得(1-4A)m2=4k2-4A对任意的m∈R都成立,1-4A=0,解得k=士4k2-4A=02

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书面表达One possible version:NOTICEA sports meeting will be held in the playground of our school from next Thursday to FridayAs you know, the pressure of study is very heavy now, especially for those senior 3. So the purpose of the sports meeting is to letevery student get relaxed, as a result of which we students can live happily and heal thilyEveryone is welcome to take part in it. Those who perform excellently at the sports meeting will get prizes. But don' t take theresults so serously because taking part is more important than the result. Good luck to everyone!

2022英语周报高二综合试题答案

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