2022牛津高一英语周报HZX答案

Li HI第二节The next day when i arrived at school. I didn't findAlice. I felt everything was very dark. I had a bad feelingwhen I was looking for her. I found some guys werebothering Alice, and this time they were hitting her andpulling her hair. I heard one of the guys say, "You have togive me all your homework, or we'll keep on hitting youI did not know what to do. I was very worried, so mydecision was to call the policeWhen the police arrived, the guys who were bullyingAlice were caught. We all had to go to the school office. Iwas in the office as a witness. Alice was a victim, andhose who bullied her were guilty. When my parentsarrived, theyfelt piroud of me. Alice told her parenteverything. She was extremely grateful and kept thankingme. From that day on, I got a best friend for life, andAlice learned how to defend herself

18.解:(1)延长OG交AC于点M因为点O是直角三角形ABC的外心,所以OA=OB=OC,所以点O是AB的中点因为∠AOC=二,所以△AOC是正三角形,所以点G是△AOC的中心,所以M是AC的中点,所以OM⊥ACwG-s.因为PA⊥平面ABC,OMc平面ABC,所以PA⊥OM因为PA⊥平面ABC,OMc平面ABC,所以PA⊥OM因为PA∩AC=A,所以OM⊥平面PAC,而OMc平面OPG,所以平面OPG⊥平面PAC(2)法一:连接BM,PM,即求点B到平面OPM的距离因为 A=V所以二·S△OPMB-OPM33°△ OBM'dP-OBM因为PA⊥平面ABC,所以doBM=PA,9-0--BG所以dB-o=5△opA2SBM在等边△OAC中,OA=1,有OM=√3在△OBM中,oM=OB=1,∠MOB=x,有SM=2 OM.OB. sin∠AMOB=√6由(1)知OM⊥平面PAC,因为PMc平面PAC,所以OM⊥PM在直角△PAM中,PA=2,AM=,有PM所以SopM22√17OM·PM=,所以dB- OPM Sop/17法二:连接BG,AG因为VB-O=pOBG,所以SAOPGB-OPG因为PA⊥平面ABC,所以d=OBG=PACAOBM-_2v172S所以Sopw=OM,PM=y,所以 dg-OPM SoPM法二:连接BG,AC因为VB-O=poBG,所以S△OPdB-0P3△ OBGuP-OBG因为PA⊥平面ABC,所以dOBG=PA,所以dB-OPG=S△oPG△OBGPA 2SSM在等边△OAC中,OA=1,有3O=3.(亦可使用正弦定理C在△OBG中,OG=,OB=1,∠0B=5,有Sm=1 OG. OB. sin ZGO0=y5由(1)知OM⊥平面PAC,因为PMc平面PAC,所以OM⊥PM在直角△PAM中,PA=2,M=1,有P=所以S0%=OG·PM=31,所以am≈25m=27△OPG17

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