19.(本小题满分12分)证明:(1)作CD中点N,连接GN,C1N,又G为AC中点,所以GN为△ACD的中位线所以GN∥AD,且GN=AD.………2分又在直四棱柱ABCD-A1B1CD1中,四边形A1B1C1D1为菱形,四边B“3:D形A1ADD1为矩形,所以B1C1∥A1D1∥AD,又H为B1C1中点所以HC1∥AD,且HC1=AD所以HC1∥GN,且HC1=GN,故四边形HGNC1为平行四边形所以GH∥C1N,…………………………………5分又GH¢平面CDD1C1,C1NC平面CDD1C1所以GH∥平面CDD1C1.……………………………(2)因为四边形ABCD为菱形,且∠ABC=亏,(2)因为四边形ABCD为菱形,且∠ABC=分所以△ABC为等边三角形,又M为BC中点故由等边三角形的性质知AM⊥BC8分又在直四棱柱ABCD-A1B1C1D1中,A1A⊥平面ABCD,且BCC平面ABCD,所以BC⊥A1A又在平面A1AM中,A1A∩AM=A,所以BC⊥平面A1AM10分又因为在直四棱柱ABCD-A1B1C1D1中,四边形B1BCC1为平行四边形,所以BC∥B1C1,故B1C1⊥平面A1AM……………12分
四、短文改错Yesterday our club held an English speech contest, whicwhose eme is"Challenge Myself". A largenumber of students attended te. the contest and showed their wonderful performances.On the stagehoughfacing great pressure, the speakers bravely overcame it and challengedthemachieve greatfidencessuccess. What's more, they impressed us deeplyith their nustconfidenceButThrough such A activity, we know a lot more about our students.we have gainedsuch asAndanwasgrowing strongself-confidence and honour.Besides, our clubIS
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