全国名校大联考·2023~2024学年高三第八次联考(月考)XGK数学.考卷答案

全国名校大联考·2023~2024学年高三第八次联考(月考)XGK数学.考卷答案试卷答案,我们目前收集并整理关于全国名校大联考·2023~2024学年高三第八次联考(月考)XGK数学.考卷答案得系列试题及其答案,更多试题答案请关注微信公众号:考不凡/直接访问www.kaobufan.com(考不凡)

试题答案

全国名校大联考·2023~2024学年高三第八次联考(月考)XGK数学.考卷答案试卷答案

以下是该试卷的部分内容或者是答案亦或者啥也没有,更多试题答案请关注微信公众号:考不凡/直接访问www.kaobufan.com(考不凡)

第二节(满分25分)阅读下面材料,根据其内容和所给段落开头语续写两段,使之构成一篇完整的短文

Afterwateringthetreesandgrassinouryardyesterday,I'mpleasedtoseethatitisrai-ningthismorning.Thetreesandgrassaredryandtheyaredyingforlackofwater.Wereallyneedsomeshowerstogivetheyardadrinkandbringfreshnesstotheairandcoolness,mak-ingthemorningpleasant.Thereisnothingquitelikearainydayinspringandthesimplejoysitbrings.Infact,asaboyIhatedrainydays.TheymeantthatIwasstuckinthehouseandcouldn'tgoouttoplay.ItwasonlyastheyearspassedthatIrealizedtherecouldbenowaterwithoutrainandtherecouldbenolifewithoutwater.Thetruthisthatrainisagiftfromna-ture.NowIlookateachgentlerainfallwithasmileandknowthatnatureisgivingtheworldandusthewaterweneedtolive.Ofcourse,weallpreferthesunshineaftertherain.Thesungivesuslight.Itenergizesus.Thewhitecloudsandblueskiesjustnaturallymakeusfeelgood.Whenmythoughtsare些racing,mymothercomesover."Henry,yourmorningcoffee.It'srainingtoday.Whydon'tyousleepmore?"Ismileandsay,"Mum,itisaniceday.Aftertherain,theplantsinour烯yardwillcomealiveagain.ButIhaveanimportantthingtodotoday."Sheseemstounder-standandsays,"Goahead,baby.Haveagoodday!"Mayberainydaysgiveusachancetoresttoday,andevenrestonthefieldsforthenextday.Iknowtherewouldbenomorningcoffeeorafternoonteawithoutrain.IthinkwhenIgoouttohelpothersintheraintoday,Iwillsendthankstonature.Whentherainfallsonmy烟head,itbringsmegreatfun,butitalsocausestroubleforsomehomelesspeopleonthestreets.Ontheotherhand,therainseemstomakemealittlesad.Idecidetowalkoutandseeifthereisanyoneinneed.注意:$1.续写词数应为150左右;2.请按如下格式在答题卡的相应位置作答

Iamwalkingalongthestreets.Idecidetohelpthepersoninneed.

分析先根据椭圆的标准方程,求得半焦距c,进而根据椭圆的定义求得|MF1|+|MF2|的值,进而利用余弦定理求得|MF1|和|MF2|的关系式,联立方程求得|MF1|•|MF2|,最后根据三角形面积公式求得三角形的面积.

解答解:由椭圆$\frac{{x}^{2}}{25}$+$\frac{{y}^{2}}{16}$=1,得a=5,b=4,c=$\sqrt{{a}^{2}-{b}^{2}}$=3.
根据椭圆定义,有|MF1|+|MF2|=2a=10.
在△F1MF2中,由余弦定理,得到
|F1F2|2=|MF1|2+|MF2|2-2|MF1|•|MF2|•cos∠F1MF2
即36=|MF1|2+|MF2|2-2|MF1|•|MF2|•cos$\frac{π}{6}$,
36=|MF1|2+|MF2|2-$\sqrt{3}$|MF1|•|MF2|
=(|MF1|+|MF2|)2-(2+$\sqrt{3}$)|MF1|•|MF2|=102-(2+$\sqrt{3}$)|MF1|•|MF2|,
解得|MF1|•|MF2|=64(2-$\sqrt{3}$).
△F1MF2的面积为:S=$\frac{1}{2}$|MF1|•|MF2|sin∠F1MF2
=$\frac{1}{2}$×64(2-$\sqrt{3}$)×sin$\frac{π}{6}$=16(2-$\sqrt{3}$).

点评本题主要考查了椭圆的应用.特别是利用椭圆的定义解决椭圆的实际问题,同时考查解三角形的余弦定理和面积公式的运用,属于中档题.