19.(12分)(1)证明:如图,连接PB1交CE于点D,连接DF,EP,CB1,……1分因为E,P分别是B1C1和CC1的中点,故EP∠亏CB1,PD 1DB 22分又BF=2,A1B1=3,故aE=1,故FD∥AP.…3分又FDC平面EFC,所以A1P∥平面EFC.………………………………………………4分(2)解:由AA1⊥底面ABC,AB⊥BC,可得三棱柱ABCA1B1C1的体积V=÷×2×3×3=95分设H为AA1的中点,则CH∥A1P,由(1)可知,CHC平面CEF.…………………………7分如图,延长FH,与BA交于点D,连接CD,故CD∥EF,且AD=A1F=1,…………………分几何体 AHCEFE1B的体积313C棱A-aD一V三棱D=3(S△AD √S△AB·S△mD SmD)×310分所以两部分的体积之比为y~。.(或两部分的体积之比为V19-2131313………………………………………………………………12分
第二节【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、克里斯蒂娜和梅;(2)厘清主要事件:作者和克里斯蒂娜徒步去山中观赏瀑布,只把行程告诉了度假出租屋的主人梅。在他们正玩得尽兴时突发山洪,情急之下二人徒手往高处爬,暂时安全后却发现他们被上涨的河水困住了。2.写作要点:(1)二人在被困后向梅求救和自救的过程;(2)梅寻求了救援人员的帮助,成功营救二人。【参考范文】Exhausted from the scramble, we started to try the phone. However,there was no service. Then Christina suggested moving toward higherground to get a better signal. For a moment, the phone connected, and Iheard the voice of Mae. She said she'd call for help. Then the phone wentsilent. Not knowing whether rescuers could reach us, we sheltered undersome trees and told each other not to panic. There was nothing we coulddo but wait. As it became colder and colder in the night, we had togather close together for warmthAfter about ten hours of desperate waiting in the dark10e saw6ss the canyon. Someone must be searching for us! But it was solightsthat it was really difficult to find us across the river. So we shouted asoudly as we could and finally got noticed. Then I heard the noise of ahelicopter. In minutes, a cable appeared and then a rescuer. We wereafe【点评】本文续写详略得当,情节合理。第一段内容承接段首所给开头语,主要讲述了主人公如何通过打电话求救、在树下避险、相互鼓励、抱团取暖等方式进行自救。同时也描述了他们因手机没有信号,除了等待别无他法的无助心情,呼应了前文 We were stuck.的情境,并与第二段开头语“我们看到了峡谷对岸的灯光”完美衔接。在第段中,漫长的等待过后,事情终于出现了转机,峡谷对岸出现了灯光。但是天太黑,作者他们很难被发现,于是他们大声呼喊以引起注意,随后直升机到达,救援人员赶到,他们最终得救了。范文中不乏高级词汇和句式,如 shelter, panIc, search for以及 whether引导的宾语从句、as引导的时间状语从句、so…tht…,引导的结果状语从句等,为文章增色添彩。
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