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B【语篇导读】本文是一篇记叙文。文章主要讲述了中国第一位女性宇航员刘洋,在第二次升空后给孩子留的信感动了数百万人的故事。4.A【解析】细节理解题。根据第二段“You'remystrongest armor and softest spot.I didn't allow you tosee me off at the launch site because I was afraid that Iwould burst into tears”以及第五段“Liu fully expressedher love for her children in the letter.It brought tears tomy eyes”可知,使刘洋和网友流泪的主要原因是刘洋对她孩子的深深的爱。故选A。5.D【解析】推理判断题。根据第六段“I feel moreconfident and relaxed”可知,刘洋对这次任务是自信的;再根据第七段“I stopped and turned around to sa-lute the experimental space station module that I stayedin.At that moment,I told myself that I would come backto space in the near future.I didn't expect the near fu-ture'to be a decade long”可知,刘洋对这次任务是有万全准备的。故选D。6.B【解析】推理判断题。根据最后一段“Liu addedthat she felt sorry that she could not be there for her sonon his first day at primary school”以及“Although I can-not be with you,Iwon't love you any less”可知,刘洋对离开她的孩子的不舍之情和对她孩子的爱。因此,刘洋写这封信的目的是向她的孩子们告别。故选B。7.D【解析】推理判断题。根据第一段可知,文章最有可能出自新闻报道。故选D。
2.(1)解:双曲线C号-卡=1a>0.6>0)的南近线方程为)一士名,所以名=√丽.又焦点(c,0)到直线y=x的距离d=1=√39,所以c=√2,……2分√/1+13又c2=a2+b,所以a2=3,b=39,分所以双曲线C的标准方程为写一菊=1395分(2)证明:联立方程组3391消去y,并整理得(13-k2)x2-18k2x-3(27k2+13)=0(13-k2≠0).y=k(x十9),设M1),N(y),则m十=3,2=3(27k2+13)13-k27分设A(-9,),B(-9,-)(≠0),则得直线AM的方程为y-1=二(x十9),x1十9直线BN的方程为y+t=F(x+9),…8分两个方程相减得21=(号一干日)α+9),①………x2+9因为2十:-当-A=k(十9)+t_k(+9)-1=t(x1+x2+18)x2+9x1+9x2+9x1+9x1x2+9(x1+x2)+81'把上式代入①得2=x1+x2+1810分2十9(十2)十81(x十9),………18k2所以x=21十9(十2)2x[-327321+913-k13-k2--1x1十x2+1818k213-2+18因此直线AM与BN的交点在直线x-号上...12分评分细则:【1】第1问共5分,正确算出c的值得2分,正确算出a和b的值各得1分,正确写出C的方程得1分;【2】第2问中共7分,正确联立方程得1分,根据韦达定理写出相应表达式得1分,写出直线AM,BN的方程得1分;