太原市第五十六中学校2025届初三年级上学期入学考试试题(数学)

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太原市第五十六中学校2025届初三年级上学期入学考试试题(数学)试卷答案

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综合能力评估试题(2)参考答案及部分解析参考答案1-5BCBCA6-10ABBAC11-15ABCBC16-20CABAC21-25DCBCC26-30CAAAC31-35DCABD36-40DGCAB41-45DBCBD46-50ADCDA51-55CACDB56.created57.which58.originally59.as60.tosolve61.its62.a63.countries64.played65.traditional写作第一节Onepossibleversion:DearVera,I'mwritingtorecommendHi,Mom,whichisregardedasoneofthemostsuccessfulcomediesinChina.DirectedbyJiaLing,oneofthetopwomencomediansinChina,thistime-travelcomedystarsJiaasadevoteddaughter,whoisdeeplysaddenedbyhermother'saccidentaldeathandfindsherselftransportedbackto1981,whereshemeetshermotherandattemptstochangeherfateThefilmhasbeenhighlypraisedforitsinterestingstoryandheartfeltemotions.It'sworthyofyourattention.Hopeyouenjoyit!Yours,LiHua第二节Onepossibleversion:Iclosedmyeyes,coveredmyears,andshrankaslowasIpossiblycouldinmychair.Afterafewseconds,though,ifoundenoughcouragetouncoveroneearandlookthroughahalf-openeyeThat'swhenIsawtheexpressionofgreatjoyonmymom'sface.Shewashavingsomuchfun.Icouldn'thelpsmiling.Myclassmatesclappedandcheered,andIheardsomeonesay,"Wow!Arizona'smotherisprettytalented!"NotonlydidmymomturnouttobemorethanalittleOKatperforming,butshewasalsogoodatteachingusthesongandthedancesteps.Bythetimeofthefair,Iwasactuallyproudofherforputtingherselfoutthereforus."I'mreallygladyouhelpedmyclasswiththeperformance,"IsaidtomymomaswedrovehomefromWinterFair.Mymomreachedbackandheldmyhand."Thanksforsayingthat,Arizona.Icanseewhyyoumighthavebeenembarrassed,butIhadsuchagreattime."部分解析阅读第一节A篇

分析利用向量共线定理即可得出.

解答解:∵向量$\overrightarrow{a}$=(2,x)与向量$\overrightarrow{b}$=(4x+2,3)方向相同,
∴x(4x+2)-6=0,
化为2x2+x-3=0,
解得x=-$\frac{3}{2}$,1.
当x=-$\frac{3}{2}$时,$\overrightarrow{b}$=(-4,3),$\overrightarrow{a}$=$(2,-\frac{3}{2})$,$\overrightarrow{b}$=-2$\overrightarrow{a}$,方向相反,舍去.
∴x=1,
∴$\overrightarrow{a}$+2$\overrightarrow{b}$=(2,1)+(6,3)=(8,4),
故答案为:(8,4).

点评本题考查了向量共线定理、方程的解法,考查了推理能力与计算能力,属于中档题.