11.BcD【解析】本题矛查正方体的性质、线线垂直、线面ⅴ行、面面平行、异面直线所成角、点到平面的距离对选项A:DD∥CC1,因为AC≠AC2所以∧ACC1不是等腰三角形,所以CC1与4F不垂直,故A错误方法二}如图①,以D为坐标原点,DA,DC,DD1所在直线分别为轴建立空间直角坐标系D设正方体的棱长为2,则D(0,00),D1(0,0,2),A(2,0,0),F(0,DA=(0,0,2),AF=(-2,2,1),则DDAF=2≠0,故A错误图①对于选项B如图②,延长FE,GB交于G,连接AGC°,CF,有GF∥BE又E,F,G分别为BC,CC1,BB1的中点,所以GC=B1=AA1,而A41∥GG,所以四边形AA1GG为平行四边形,所以A1G∥AG.又因为A1G￠平面AEF,ACC平面AEF,所以AC∥平面AEF,故BD图②图③3(方法二)如图③,取B1C1的中点H,连接A1H,GH,由题意知GH∥EF,GH￠平面AEF,EFC平面AEF,所以GH∥平面AEF.易得A1H∥AE,又A1H￠平面AEF,AEC平面AEF,所以AH∥平面AEF.又A1H∩GH=H,所以平面A1HG∥平面AEF因为A1GC平面A1BG,所以A1G∥平面AEF,故B正确对于选项C如图③,因为CH∥EF,所以异面直线AG与EF所成的角为∠A1OH.设正方体的棱长为2,则GH=2,AG=A1H=51G+GHF-A1H√10在△A1GH中,cos∠A1GH=2A1G·OH=10,故C正确(方法二)如图①,因为A1(2,0,2),G(2,2,1),E(1,2,0),F(0,2,Ef1),所以A1=(0,2,-1),EF=(-1,0,1),所以cos(A46,EF)A,G.EFLA GIIEFI 5 x 2 10所以异面直线A1G与EF所成角的余弦值为10,故C正确.对于选项D:设点G到平面AEF的距离与点C到平面AEF的距离分别为h1,h2,则V4-w=1·AB·Sa=c"3·hS△wr,Vmy=3·AB,Scn=V-w=3·hSm,所以h2=2,故D正确△CF故选BCD【关键点拨】对于B,方法一,利用线面平行的判定定理,方法二利用面面平行的性质定理;对于D,利用等体积法V4-ce=Ve.F,V4cs=VA,可求点G到平面AEF的距离与点C到平面AEF的距离的比值

【写作提示】1.审题:(1明确故事人物:本故事中主要人物为作者、作者的女儿伊丽莎白;(2)厘清主要事件:作者的女儿伊丽莎白要参加游泳比赛,赛前很紧张,害怕游不好;比赛时遇到突发状况,但是通过和队友的共同努力羸得了比赛。2写作要点:{1)伊丽莎白在队友的帮助下穿上了脱落的袜子,并最终赢得了比赛:(2)伊丽莎白同作者分享比赛过程和胜利后的喜悅。【参考范文】Everybody on her leam started screaming "Elizabeth! Get the sock!However, she couldn' t hear them. A girl on my daughter's team jumped inthe pool, grabbed the sock, and swam after Elizabeth. "You have to putthe sock on, the girl screamed. Elizabeth continued swimming while hteammate put on the sock for her. The girl in lane two was about to passElizabeth. With the sock finally on, Elizabeth tried her best to swim thelast 25 meters. It was close, but Elizabeth beat the other girl to the wallfor the victoryOn the ride home, she shared her moment of winning again andagain. She talked about how seared she was when someone grabbed herfoot, how funny it was when she came to the finish and how great thenight was. She told me that if the T-shirt relay was an Olympic event,heream would win the gold medal. I told her that in my professional opinionshe was absolutely right【点评】该范文围绕原文内容进行了非常合理的续写,紧扣语境,与原文逻辑紧密,详略得当。由第一段首句内容“团队中的每个人都开始大喊伊丽莎白!拿袜子可知,第一段可描写她听不见大家的减叫声,一个女孩跳进水中帮她穿上了袜子,面临对手即将超越自己她拼尽全力取得了胜利。由第二段首句内容“在回家的路上,她一次又一次地分享自己赢得胜利的时刻”可知,第二段可描写她回想比赛过程中的感受以及对这次经历的感想。作者表示赞同女儿的心态和努力行文中不乏较为高级的表达,如 continue doing sth., be about to do sth.beat sb to sth., In one' sopInion以及with复合结构when引导的时间状語从句、tht引导的宾语从句等,使得语言表达生动多样。

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