2022 英语周报 高考 AHW 41答案

第二节读后续写( One possible version)Fliss immediately took the purse to the local police station with Molly. When they arrivedFliss tied Molly to a fireplug outside and went in herself. She handed the purse to a police officerand explained everything. Greatly touched, he shook her hand and thanked her for doing her duty,promising that he would do his best to find the owner Fliss felt reassured and went back withMolly. The next day, a journalist called to make an appointment for an interview.When the journalist came, they two were on the beach. The journalist was surprised to findthat Molly was picking up litter, following her master. Fliss told the journalist it was on the wayto collecting litter that Molly had found the purse. Hearing this, Molly stopped, wagging her tailas if she understood the whole situation. Having learned about the whole story, the journalist gotto know what they did to protect the local beach. Surprised and impressed, the journalist tooksome pictures. The next day they were on the front page of the newspaper. A minor action couldmake wonders!(162 words)

21.解:(1)∵AD∥BC,BC=2ADQ为AD的中点∴四边形BCDQ为平行四边形,∴CD∥BQ∵∠ADC=90°,∴∠AQB=90°,即QB⊥AD又∵平面PAD⊥平面ABCD,且平面PAD∩平面ABCD=AD∴BQ⊥平面PADBQC平面PQB,∴平面PQB⊥平面PAD(4分)(2)PA=PD,Q为AD的中点,∴PQ⊥AD平面PAD⊥平面ABCD,且平面PAD∩平面ABCD=ADPQ⊥平面ABCD如图,以Q为原点建立空间直角坐标系,DC则Q(0,0,0),A(1,0,0),P(0,0,√3),B(0,3,0),C(-1,3,0),∴AP=(-1,0,3),PC=(-1,3,-√3),由M是PC上的点,设PM=tP(0≤κ≤1),化简得M(-t,3t,-3t+∴BM=(-t,3t-3,-√3t+√3)设异面直线AP与BM所成角为0,则cos=cos |=√7[ APIIBM2t+3万7,2√7t2-12+61成11PM_1成11计算得=214,PC=214(12分)

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