2022英语周报高三第42期答案
20.解:(1)在直角梯形ABCD中,易知BD=22,ADDA2+DB2=ABDA⊥DB3分DB⊥PA且PA∩DA=ADB⊥平面PAD5分2)延长AD与BC交于点G,连结PG6取AD的中点O,联结PO,因为PA=PD,易证PO⊥面ABCD,建立如图所示的空间直角坐标系,假设存在点M符合题意,且PM=2PG(0≤A≤)P(0.0.√2),D(-√2,0.0),C(-2√2,v2.0),G(-32,0.0设面DPC的法向量n=(x,y,z)则(1,-1)9分DM=DP+ PM=DP+PGDM=(2-3√2A.0,2-√2)同理可得面DCM的法向量n1=(x-1,-1,1-3)分5-3COS
读后续写Possible version lI stared at the paper and then looked around. I was cold. Although I could not see my sistersnor the new house, which was hidden from my sight by a grey wall, I got the feeling that I was notalone. Walking along the shore was a tall familiar figure who looked lost in his thoughts. I lookedgain at the paper in my hand, closed my eyes and wishedAs /opened my eyes, I found my father was standing right beside me. Happy birthday, sonhe said, patting my shoulder gently. I smiled up at him and took his hand. Looking back, life fromthat day on marked the start of a close bond and a strong friendship with my father. What was mybirthday surprise? Wishes do come truePossible version 2I stared at the paper and then looked around. On the backside, there was a map. I noticed thatit was clearly leading me in a direction, but who could have sent this? I stood there in silence andstudied it. I decided to follow the map and it led me down the beach until I reached a staircase. Iooked back and could no longer see my siblings. I continued to follow the point on the map, untilI unexpectedly lost my footing and fell zksq down the stepsAs I opened my eyes, I found my father was standing right beside me. Happy birthday, sonhe said, patting my shoulder gently. Then he asked how I had come upon this place? I explained tohim that I had found the bottle in the ocean and when I opened it had the words on it. Shocked bythe message, my father realized what I had found I threw this bottle into the ocean many years agowhen I was alone. he said. I used to come to this exact place to get away from everyone else. NowI get to share this experience with you. What a birthday surprise
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