英语周报2022广东初中英语模拟35期答案

18【命题意图】本题考查间线面的位置关系向量法求空间角,考杏想象逻辑推理、数学运算的核心素养【解析】(1)延长BA,CD交于点P,连接PP塔考气则PP即为平面PAB与平面PCD的交线lCentral Ch……(1分)∵AD∥BC,BC=2AD,故在△PBC中,A、D分别为听在线段的中点,故PA=AB=PA;故PP⊥PB;同理可得,PP⊥PC,of Asses(2分PB∩PC=P,故PP⊥平面PBC;(3分)而BC平面PBC故PP⊥BC左BCg…(4分)而AD∥BC,故l⊥AD(5分)(2)取AD的中点O,取BC的中点F楼OF,可知点E在线段OF上,故以OA所在直线为x轴,OE所在直线为y轴,OP所在直线为z轴,建立如E图所示的空间直角坐标系;(6分)x因为△PAD是面积为3的等边三角形,故AD=2,B故P(0,0,3),B(2,3,0),C(-2,3,0),E(o3故PE=(0,3,3),PB=(2,3,-√3),BC=(-4,0,0),……………(8分)设平面PBC的法向量为m=(x,y,1m:PB=0,2x 3y-3=0,a1r盒研家院故m=(04x=0记PE与平面PBC所成的角为0,则sin0=(10分)故所求余弦值为√1-sn=2⑤………(12分)

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!

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