2008年河北省初中毕业生升学文化课考试数学试题(有答案)word版

2008年河北省初中毕业生升学文化课考试数学试卷本试卷分卷和卷两部分；卷为选择题，卷为非选择题本试卷满分为120分，考试时间为120分钟卷（选择题，共20分）注意事项1答卷前，考生务必将自己的姓名、准考证号、科目填涂在答题卡上，考试结束，监考人员将试卷和答题卡一并收回2每小题选出答案后，用2B铅笔把答题卡上对应题目的答案标号涂黑答在试卷上无效一、选择题（本大题共10个小题；每小题2分，共20分在每小题给出的四个选项中，只有一项是符合题目要求的）1的倒数是（）8ABCD81182计算的结果是（）23AABCD2443A4A3把某不等式组中两个不等式的解集表示在数轴上，如图1所示，则这个不等式组可能是（）ABCD1X，1X，4X，4X，4据河北电视台报道，截止到2008年5月21日，河北慈善总会已接受支援汶川地震灾区的捐款15510000元将15510000用科学记数法表示为（）AB80540CD716155图2中的两个三角形是位似图形，它们的位似中心是（）A点B点C点D点POMN6某县为发展教育事业，加强了对教育经费的投入，2007年投入3000万元，预计2009年投入5000万元设教育经费的年平均增长率为，根据题意，下面所列方程正确的是X（）AB23010X2305CD52130150XX7如图3，已知的半径为5，点到弦的距离为3，则上OAAOA到弦所在直线的距离为2的点有（）B401图1OPMN图2OBA图3A1个B2个C3个D4个8同时抛掷两枚质地均匀的正方体骰子（骰子每个面上的点数分别为1，2，3，4，5，6）下列事件中是必然事件的是（）A两枚骰子朝上一面的点数和为6B两枚骰子朝上一面的点数和不小于2C两枚骰子朝上一面的点数均为偶数D两枚骰子朝上一面的点数均为奇数9如图4，正方形的边长为10，四个全等的小正方形的对称中心分别在正方形AB的顶点上，且它们的各边与正方形各边平行或垂直若小正方形的边长为BDAC，且，阴影部分的面积为，则能反映与之间函数关系的大致图象是（X01YYX）XADCB图4YX10O100AYX10O100BYX10O100C5YX10O100D10有一个四等分转盘，在它的上、右、下、左的位置分别挂着“众”、“志”、“成”、“城”四个字牌，如图51若将位于上下位置的两个字牌对调，同时将位于左右位置的两个字牌对调，再将转盘顺时针旋转，则完成一次变换图52，图53分别表示第1次变换90和第2次变换按上述规则完成第9次变换后，“众”字位于转盘的位置是（）众志成城图51成城众志图52志成城众第1次变换城众志成图53成城众志第2次变换A上B下C左D右2008年河北省初中毕业生升学文化课考试数学试卷卷（非选择题，共100分）注意事项1答卷前，将密封线左侧的项目填写清楚2答卷时，将答案用蓝色、黑色钢笔或圆珠笔直接写在试卷上二、填空题（本大题共8个小题；每小题3分，共24分把答案写在题中横线上）11如图6，直线，直线与相交若，ABCAB，170则2_12当时，分式无意义X31X12BA图6CCOAB图713若互为相反数，则MN，5MN14如图7，与相切于点，的延长线交于点，ABOBAOAC连结若，则C36_C15某班学生理化生实验操作测试成绩的统计结果如下表成绩/分345678910人数1122891512则这些学生成绩的众数为16图8所示的两架天平保持平衡，且每块巧克力的质量相等，每个果冻的质量也相等，则一块巧克力的质量是G17点在反比例函数的图象上，则231PM，YXM18图91是我国古代著名的“赵爽弦图”的示意图，它是由四个全等的直角三角形围成的若，将四个直角三角形中边长为6的直角边6AC5B分别向外延长一倍，得到图92所示的“数学风车”，则这个风车的外围周长是ABC图91图92三、解答题（本大题共8个小题；共76分解答应写出文字说明、证明过程或演算步骤）19（本小题满分7分）已知，求的值2X211X20（本小题满分8分）某种子培育基地用A，B，C，D四种型号的小麦种子共2000粒进行发芽实验，从中选出发芽率高的种子进行推广通过实验得知，C型号种子的发芽率为，根据实验数据绘95制了图101和图102两幅尚不完整的统计图（1）D型号种子的粒数是；（2）请你将图102的统计图补充完整；（3）通过计算说明，应选哪一个型号的种子进行推广；（4）若将所有已发芽的种子放到一起，从中随机取出一粒，求取到B型号发芽种子的概率巧克力果冻50G砝码图8A35B20C20D各型号种子数的百分比图101图102ABCD型号8006004002000630370470发芽数/粒21（本小题满分8分）如图11，直线的解析表达式为，且与轴交于点，直线经过点，1L3YX1LXD2LAB，直线，交于点1L2C（1）求点的坐标；D（2）求直线的解析表达式；2L（3）求的面积；A（4）在直线上存在异于点的另一点，使得2LCP与的面积相等，请直接写出点的坐标DP22（本小题满分9分）气象台发布的卫星云图显示，代号为W的台风在某海岛（设为点）的南偏东方向的O45点生成，测得台风中心从点以40KM/H的速度向正北方向移动，经B106KMOBB5H后到达海面上的点处因受气旋影响，台风中心从点开始以30KM/H的速度向北偏CC西方向继续移动以为原点建立如图12所示的直角坐标系60（1）台风中心生成点的坐标为，台风中心转折点的坐标为C；（结果保留根号）（2）已知距台风中心20KM的范围内均会受到台风的侵袭如果某城市（设为点）位于A点的正北方向且处于台风中心的移动路线上，那么台风从生成到最初侵袭该城要经过多O长时间23（本小题满分10分）L1L2XYDO3BCA2（4，0）图11X/KMY/KM北东AOBC6045图12在一平直河岸同侧有两个村庄，到的距离分别是3KM和2KM，LAB，AB，LKMABA现计划在河岸上建一抽水站，用输水管向两个村庄供水1ALP方案设计某班数学兴趣小组设计了两种铺设管道方案图131是方案一的示意图，设该方案中管道长度为，且（其中于点）；图132是方案二的示意图，设1DKMPBABL该方案中管道长度为，且（其中点与点关于对称，与2KDPALAB交于点）L观察计算（1）在方案一中，KM（用含的式子表示）；1DA（2）在方案二中，组长小宇为了计算的长，作了如图133所示的辅助线，请你按小宇2D同学的思路计算，KM（用含的式子表示）2探索归纳（1）当时，比较大小（填“”、“”或“”）；4A12_D当时，比较大小（填“”、“”或“”）；6（2）请你参考右边方框中的方法指导，就（当时）的所有取值情况进A1行分析，要使铺设的管道长度较短，应选择方案一还是方案二24（本小题满分10分）如图141，的边在直线上，且；的边也ABCLACBCEFP在直线上，边与边重合，且LEFEFP（1）在图141中，请你通过观察、测量，猜想并写出与所满足的数量关系和位A置关系；（2）将沿直线向左平移到图142的位置时，交于点，连结，PLEQAABPLLABPC图131图132LABPC图133K方法指导当不易直接比较两个正数与的大小时，MN可以对它们的平方进行比较，2MN0与的符号相同当时，即；0当时，即；2NN当时，即；猜想并写出与所满足的数量关系和位置关系，请证明你的猜想；BQBAP（3）将沿直线向左平移到图143的位置时，的延长线交的延长线于点EFLEPAC，连结，你认为（2）中所猜想的与的数量关系和位置关系还成立吗BQA若成立，给出证明；若不成立，请说明理由A（E）BC（F）PLLLAABBQPEFFCQ图141图142图143EPC25（本小题满分12分）研究所对某种新型产品的产销情况进行了研究，为投资商在甲、乙两地生产并销售该产品提供了如下成果第一年的年产量为（吨）时，所需的全部费用（万元）与满足关XYX系式，投入市场后当年能全部售出，且在甲、乙两地每吨的售价，21590YXP甲（万元）均与满足一次函数关系（注年利润年销售额全部费用）P乙（1）成果表明，在甲地生产并销售吨时，请你用含的代数式表示X1420PX甲X甲地当年的年销售额，并求年利润（万元）与之间的函数关系式；W甲（2）成果表明，在乙地生产并销售吨时，（为常数），且在乙地当年X1XN乙的最大年利润为35万元试确定的值；N（3）受资金、生产能力等多种因素的影响，某投资商计划第一年生产并销售该产品18吨，根据（1），（2）中的结果，请你通过计算帮他决策，选择在甲地还是乙地产销才能获得较大的年利润参考公式抛物线的顶点坐标是20YAXBC24BAC，26（本小题满分12分）如图15，在中，分别是RTABC905AB30CDEF，的中点点从点出发沿折线以每秒7个单位长ACB，PDEFCD的速度匀速运动；点从点出发沿方向以每秒4个单位长的速度匀速运动，过点QBA作射线，交折线于点点同时出发，当点绕行一周回QKCGPQ，P到点时停止运动，点也随之停止设点运动的时间是秒（）D，T0（1）两点间的距离是；F，（2）射线能否把四边形分成面积相等的两部分若能，求出的值若不能，DEFT说明理由；（3）当点运动到折线上，且点又恰好落在射线上时，求的值；PCPQKT（4）连结，当时，请直接写出的值GABT2008年河北省初中毕业生升学文化课考试数学试题参考答案一、选择题题号12345678910答案DBBCAACBDC二、选择题1170；12，1；13；1427；159分（或9）；1620；172；1876三、解答题19解原式21X1X当时，原式2320解（1）500；（2）如图1；（3）型号发芽率为，B型号发芽率为，A90925D型号发芽率为，C型号发芽率为4应选C型号的种子进行推广图1ABCD型号8006004002000630370470发芽数/粒380AECDFGBQK图15P（4）3701B6845P取到型号发芽种子21解（1）由，令，得3YXYXX10D，（2）设直线的解析表达式为，由图象知2LKB，；，4X0YX2Y直线的解析表达式为32KB，6K，2L362YX（3）由解得YX，3Y，C，AD192ADCS（4）63P，22解（1），；103B，10203，（2）过点作于点，如图2，则COACD在中，RTD3COS02A0，26351台风从生成到最初侵袭该城要经过11小时23观察计算（1）；A（2）24探索归纳（1）；（2）22240DAA当，即时，；40512D12D12D当，即时，；X/KMY/KMAOBC6045图2D当，即时，420A5A210D120D12D综上可知当时，选方案二；当时，选方案一或方案二；5当（缺不扣分）时，选方案一124解（1）；ABPA（2）；Q证明由已知，得，EFFP45E又，ACB45CQC在和中，RTQT，90APP，TTBCBQ如图3，延长交于点M，RTTQAP12在中，又，BC3903424190QMAAP（3）成立证明如图4，45EF45CQ又，CBP在和中，RTQTAP，90CQTTBB如图4，延长交于点，则QAPNCB，RTTCAP在中，B90CBLABFCQ图3M1234EPLABQPEF图4NC90APCBN90PBQ25解（1）甲地当年的年销售额为万元；2140X2390WX甲（2）在乙地区生产并销售时，年利润222111590590NXXXN乙由，解得或24905311N经检验，不合题意，舍去，N5（3）在乙地区生产并销售时，年利润，2109WX乙将代入上式，得（万元）；将代入，18X2乙82390WX甲得（万元），应选乙地24W甲乙甲26解（1）25（2）能如图5，连结，过点作于点，DFHAB由四边形为矩形，可知过的中点时，CEQKDFO把矩形分为面积相等的两部分QK（注可利用全等三角形借助割补法或用中心对称等方法说明），此时由，得125HOF20BHCBA16H故6748T（3）当点在上时，如图6PE5T，QBTD由，得CA720453TTAECDFOBQK图5HPGAECDFBQK图6PGAECDFBQK图7PG214T当点在上时，如图7PFC657T已知，从而，QBT由，得73203520T解得12T（4）如图8，；如图9，T74T（注判断可分为以下几种情形当时，PGAB6027T点下行，点上行，可知其中存在的时刻，如图PGAB8；此后，点继续上行到点时，而点却在下行到FT点再沿上行，发现点在上运动时不存在EE；当时，点均在上，也不存657T，FC在；由于点比点先到达点并继续沿下PGABD行，所以在中存在的时刻，如图9；当时，点均在8TPGAB810TPG，上，不存在）CDAECDFBQK图8PGHAECDFBQK图9PG（英文版）EASILYBLAME,TOPREVENTTHEBROKENWINDOWEFFECTSUPERVISETHELEADINGCADRESTOPLAYANEXEMPLARYROLE,TAKETHELEADINTHESTRICTIMPLEMENTATIONOFTHEAND,LEADTOSAFEGUARDTHESOLEMNITYANDAUTHORITYOFTHEPARTYDISCIPLINE,ENSURETHATTHEPARTYDISCIPLINEANDTHELAWSANDREGULATIONSFORIMPLEMENTATIONINPLACETHROUGHOUTTHEDISCIPLINEINTHEDAILYSUPERVISIONANDMANAGEMENT,STRENGTHENSUPERVISIONANDINSPECTION,FROMTHETHOROUGHINVESTIGATIONOFVIOLATIONSOFDISCIPLINEBEHAVIORSTRENGTHENTOKEYAREAS,KEYDEPARTMENTSANDKEYPROJECTSASWELLASTHEMASSESREFLECTTHECONCENTRATIONOFTHEUNITSANDDEPARTMENTSFORSUPERVISIONSTRENGTHENINGSUPERVISION,DISCIPLINEINSPECTIONANDSUPERVISIONOFCADRESTOSETANEXAMPLEFORCOMPLIANCEWITHTHEANDISAMANMUSTBEHEXYL,BLACKSMITHNEEDSITSOWNHARDWAREDISCIPLINEINSPECTIONORGANSASTHEEXECUTOROFTHEPARTYDISCIPLINE,ANDSUPERVISOROFTHEDEFENDERS,FORITSSUPERVISIONMUSTBEMORESTRICTLY,DISCIPLINEINSPECTIONANDSUPERVISIONOFCADRESTOFIRMLYESTABLISHTHEAWARENESSOFPARTYCONSTITUTION,SENSEOFDISCIPLINEANDRULESCONSCIOUSNESS,POLITICSLOYALTY,SENSEOBEYACTIONSPEAKJIORDINANCETOSETANEXAMPLEOFTHEREGULATIONSOFTHERULEOFLAW,STRENGTHENSUPERVISIONANDACCEPTTHESUPERVISIONOFTHEFIRMNESSANDCONSCIOUSNESS,DOCOMPLYWITHANDTOFIRMLYESTABLISHTHEDISCIPLINEMUSTFIRSTBEDISCIPLINED,THESUPERVISORWILLBESUBJECTTOTHESUPERVISIONOF“CONCEPT,ANDCONSCIOUSLYSAFEGUARDANDIMPLEMENTPARTYCOMPASSESPARTY,TAKETHELEADINPRACTICING“THREESTRICTREALSTRICT,SOLOYAL,CLEAN,PLAYTOBEGOODATLEARNING,THECONSTITUTIONANDTHEASMORALITY,POLITICSANDBROUGHTTOFRUITIONTOIMPLEMENT,DONOTWANTTO,DARENOT,NOTWITHDISCIPLINARYRULERTOSUPERVISIONTODISCIPLINEARULER,OFTENTHECONTROLINSPECTION,ANDCONSCIOUSLYINTHEIDEOLOGICALREDLINETODRAWTHEROWMINGGOODACCUMULATIONISINDEEDTHEBOTTOMLINE,SOTHATTHEHEARTHASFEAR,SAIDTOHAVEQUIT,THELINEHASENDEDATTACHEDINDIFFERENTTOHEART,CALMLYTOTHETABLEINOURLIFE,THEREAREMANYUNPREDICTABLETHINGSWILLHAPPEN,SOMEGOOD,SOMEBADTHINGS,WECANNOTCONTROLISPOWERLESSTOSTOP,BUTWITHTIME,YOUWILLFINDINLIFESOMETIMESTURNSOUTTOBENOTGOOD,SOMEBADTHINGSFINALLYTURNEDOUTTOBEAGOODTHING,BUTTHENWEMUDDYHOWEVERDIDNOTKNOW,THISISTHELIFETEACHUSTHINGS1,LIFECANBECOMPLEX,CANALSOBESIMPLEWANTSIMPLELIFEOFPRECIPITATION,TOHAVEENOUGHTIMETOREFLECT,TOMAKEBECOMEMOREPERFECTLIFEISTHEMOSTIMPORTANTTHINGISNOTTOWIN,BUTTHESTRUGGLENOTTOHAVECONQUERED,BUTTOHAVEFOUGHTWELL2,THEPLAINISTHEBACKGROUNDOFLIFELIVEAPLAINLIFE,GIVEUPONTHEMSELVESISNOTACOWARD,BUTTHEWISEANSWERSNOTDISILLUSIONEDAFTERTHEHEART,SUCHASASHES,BUTEXPERIENCETHESTORMAFTERTHEENLIGHTENMENTNOTUNREWARDINGPERFUNCTORILY,BUTCALMATTITUDEOFLIFEOFUNRESTRAINEDSELFCONFIDENCEPLAINLIVING,THEREISNONOISENOISY,NOEARTHLYTROUBLES,MOREDIDNOTFILLINTHEDISCONTENTOFDESIRE,SOMEJUSTACALM,ACALM3,MEMORYOFHEARTWILLNOTGOODTHINGSTOERASETHE,LIFEISAWHENNOMOVIE,PAINISABEGINNING,THESTRUGGLEISAKINDOFPROCESS,DEATHISAKINDOFENDINGGIVEUPTHISGIVINGUPISTHEHELPLESS,DONOTGIVEUPTHEABANDONED,DONOTGIVEUPTHISGIVINGUPISIGNORANCE,DONOTGIVEUPSHOULDNOTGIVEUPISPERSISTENT4,ATHINGFIGUREDISHEAVEN,THINKIMPASSABILITYISHELLSINCETHELIVING,TOLIVEBETTERSOMETIMESWEBECAUSEOFTOONARROWMINDED,TOOCAREAROUNDTHECHORESANDPENNYWISEANDPOUNDFOOLISH,NOTWORTHTHECANDLESOMETHINGSTOATTRACTTROUBLEANDWORRY,COMPLETELYDEPENDSONHOWWELOOKATANDDEALWITHITDONTALWAYSTAKEEVERYTHINGBACKTOTHINGS,ANDDONTGETINTOABLINDALLEY,DONTWANTTOFACE,DONTBENARROWMINDEDPOKETOCARE,ISAKINDOFOPENMINDED,AFREEANDEASY5,IAMNOTAFRAIDOFOTHERSBEHINDMEAKNIFE,IAFRAIDTOLOOKBACKANDSEESTABME,ISMYINTENTIONTOTREATPEOPLEIAMNOTAFRAIDOFTHETRUTHTOTELLTHEBESTFRIEND,IMAFRAIDHETURNEDTOITASAJOKETOTELLDONT6,WHENWEAREINAPOSITIVEFRAMEOFMIND,YOUWILLFINDMANYGOODTHINGSANDWHENWEAREINANEGATIVESTATEOFMIND,YOUWILLFINDMANYDEPRESSEDTHINGSLIFEHAPPYANDWORRY,ALLISYOUOFLIFEATTITUDE,OPTIMISTIC,GOODLUCKLOSSOFSINK,ERITREACOMPANYWHENYOUAREINADVERSITY,MAYWISHTOCHANGEAPOINTOFVIEWTOTHINKEVERYTHINGOVERTOTHEGOODTHINK,BECAUSEGOODMENTALITYDECIDEDTHEFATEOFTHE7,PEOPLEARETIRED,RESTHEARTTIRED,CALMGROWUP,MATURE,THISSOCIETYREADTIREDANDSAD,SQUATDOWN,TOTHEIRAHUGBECAUSETHEWORLDNOONECANSYMPATHIZEWITHYOU,HAVEMERCYONYOUYOUCRY,TEARSISYOUROWNYOUPAIN,NOONECANUNDERSTANDTHENYOUONLYTEARSTOSMILE8,EACHPEOPLEHAVEYOUTH,EACHYOUTHAREASTORY,THELIFEOFTHEWORLDNEVERGETSEASIER,IWANTWHAT,WISHTHEWORLDALLKNOW,ASHASBEENTHESAMENOWWANTANYTHING,FORFEARTHATOTHERSKNOW,ORLIKETOLOSETHESAME9,THEHEARTMOVE,EVERYTHINGINTHEWORLDISFOLLOWEDBYBIRTH,RANGRANG,IMPORTANTTHINGISOFTENTHEMOSTDIFFICULTTOOPENONESMOUTH,BECAUSEWORDSWILLREDUCEITSIMPORTANCETOLETSTRANGERSPEOPLECAREABOUTYOURLIFEINTHEGOODTHINGS,THEORIGINALISNOTEASY10,DONOTBLAME,DONOTLAUGHATWHO,ALSODONTENVYWHOLIKEAPERSONISAKINDOFFEELING,NOTLIKEAPERSONISTRUETHETRUTHISEASYTOEXPLAIN,IFEELISUNSPEAKABLETHEBESTTRAVELLIFEISTHATYOUINASTRANGEPLACEFOUNDALONGLOSTTOUCHED11,HAPPYLIFENOTINTHEBUSTLINGIN,ANDINTHEPEACEOFMINDNOMATTERHOWMANYGRIEVANCES,HOWUNCOMFORTABLE,ANDULTIMATELYTOHEALTHEMSELVESORTHEIROWN,OTHERSMAYGOTYOUTOCOMFORT,BUTNEVERKNOWYOURHEARTISHOWWANJIANCHUAN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