2024年衡水金卷先享题分科综合卷答案新教材一数学.考卷答案

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2024年衡水金卷先享题分科综合卷答案新教材一数学.考卷答案试卷答案

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第三部分语言知识运用(共两节,满分45分)第二节(共10小题;每小题1.5分,满分15分)第一节(共20小题;每小题1.5分,满分30分)阅读下面短文,在空白处填入1个适当的单词或括号内单词的正确形式

阅读下面短文,从短文后各题所给的A、B、C和D四个选项中,选出可以填入空白处的最佳Chinaislikelytosufferfromfloodsformanyreasons.Giventhechangeableweather,theraincouldraise)thethreatofheavyrain选项

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文有10IstaredatJoy58.Hetaughtmethemostimportantlessoninmylife:Mistakesare59,and处语言错误,每句中最多有两处

每处错误仅涉及一个单词的增加、删除或修改

whatwelearnfromthemiswhat60thecourseofoursuccess.增加:在缺词处加一个漏字符号(∧),并在其下面写出该加的词

41.A.writingB.communicatingC.reportingD.socializing删除:把多余的词用斜线(\)划掉

42.A.boringB.tiringC.heavyD.easy修改:在错的词下画一横线,并在该词下面写出修改后的词

43.A.expressB.involveC.buryD.find注意:1.每处错误及其修改均仅限一词;阳44.A.positiveB.subjectiveC.generalD.vivid2.只允许修改10处,多者(从第11处起)不计分

45.A.expectedB.convincedC.daredD.remindedLastFridayourschoolorganizedstudentsandteacherstogohikingintheForestPark.An8-kilometer外46.A.assistedB.taskedC.acquaintedD.occupiedhikingwastiringandenjoyable.Itstartedatnine.MyclassmatesandIreachedtoourdestinationabout47.A.confusedB.surprisedC.thrilledD.relaxedthreehourslate.Attherestingplace,theycheeredeachotherforthesuccess.Afterapicniclunch,we变48.A.makeB.borrowC.purchaseD.replaylearnedaboutplanttypethere.Wealsocollectedleavesandexhibitedartworkmakingofthem.Atlast,we49.A.horrorB.annoyanceC.regretD.disappointment50.A.crossedB.freezingC.raisedD.tremblingadvisedtotakecreativephotoswithourartwork.Theactivitynotonlykeepsusfit,buthelpsgetuscloseto51.A.persuadedB.warnedC.trustedD.comfortedeachotherandtonaturethanbefore.Allpartsofitmakesthedayunforgettable.52.A.selfishnessB.weaknessC.carelessnessD.rudeness第二节书面表达(满分25分)53.A.approachedB.returnedC.wanderedD.arrived假定你是校英文报记者李华,你校最近新成立了青少年互助中心(TeenagersHelpCenter),请你54.A.gotawayB.gaveinC.heldbackD.brokedown在校英文报上为它写一篇宣传稿

内容包括:55.A.enthusiasmB.responsibilitiesC.experienceD.qualities1.该中心成立的日的:56.A.calmnessB.hesitancyC.astonishmentD.appreciation2.该中心要开展的活动;57.A.statementsB.errorsC.decisionsD.commitments3.呼吁有需要的同学加入

58.A.byaccidentB.withsorrowC.atheartD.indisbelief注意:59.A.predictableB.unavoidableC.controllableD.unacceptable1.词数100左右;60.A.determinesB.reflectsC.changesD.perfects2.可以适当增加细节,以使行文连贯英语领航卷(六)全国卷第7页(共8页)英语领航卷(六)全国卷第8页(共8页)

分析以底面正方形ABCD中心O为原点,以OA为x轴,OB为y轴,OV为z轴,建立空间直角坐标系,利用向量法能求出异面直线BE与DF所成角的正切值.

解答解:以底面正方形ABCD中心O为原点,以OA为x轴,OB为y轴,OV为z轴,
建立空间直角坐标系,
则A($\sqrt{2}$,0,0),B(0,$\sqrt{2}$,0),C(-$\sqrt{2}$,0,0),D(0,-$\sqrt{2}$,0),
V(0,0,4),E($\frac{\sqrt{2}}{2}$,0,2),F(-$\frac{\sqrt{2}}{2}$,0,2),
$\overrightarrow{BE}$=($\frac{\sqrt{2}}{2},-\sqrt{2},2$),$\overrightarrow{DF}$=(-$\frac{\sqrt{2}}{2}$,$\sqrt{2},2$),
设向量BE和DF成角为θ,
cosθ=|cos<$\overrightarrow{BE},\overrightarrow{DF}$>|=|$\frac{\overrightarrow{BE}•\overrightarrow{DF}}{|\overrightarrow{BE}|•|\overrightarrow{DF}|}$|=|$\frac{-\frac{1}{2}-2+4}{\sqrt{\frac{1}{2}+2+4}•\sqrt{\frac{1}{2}+2+4}}$|=$\frac{3}{13}$,
sinθ=$\sqrt{1-(\frac{3}{13})^{2}}$=$\frac{4\sqrt{10}}{13}$,
∴tanθ=$\frac{sinθ}{cosθ}$=$\frac{4\sqrt{10}}{3}$.
∴异面直线BE与DF所成角的正切值为$\frac{4\sqrt{10}}{13}$.

点评本题考查异面直线所成角的正切值的求法,是中档题,解题时要认真审题,注意向量法的合理运用.