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1、温馨提示:高考题库为Word版,请按住Ctrl,滑动鼠标滚轴,调节合适的观看比例,点击右上角的关闭按钮可返回目录。【考点5】函数与方程、函数模型及其应用2009年考题1.(2009福建高考)函数的图象关于直线对称。据此可推测,对任意的非零实数a,b,c,m,n,p,关于x.0的方程的解集不可能是()A.BCD【解析】选D.本题用特例法解决简洁快速,对方程中分别赋值求出检验即得.2.(2009福建高考)若函数的零点与的零点之差的绝对值不超过0.25,则可以是()A.B.C.D.【解析】选A.的零点为x=,的零点为x=1,的零点为x=0,的零点为x=.现
2、在我们来估算的零点,因为g(0)=-1,g()=1,所以g(x)的零点x(0,),又函数的零点与的零点之差的绝对值不超过0.25,只有的零点适合。3.(2009海南宁夏高考)用min{a,b,c}表示a,b,c三个数中的最小值,设f(x)=min{,x+2,10-x}(x0),则f(x)的最大值为()A.4B.5C.6D.7【解析】选C.画出y=2x,y=x+2,y=10-x的图象,如右图,观察图象可知,当0≤x≤2时,f(x)=2x,当2≤x≤3时,f(x)=x+2,当x>4时,f(x)=10-x,f(x)的最大值在x=4时取得为6,故选C。4.(
3、2009湖南高考)设函数在integratedenergy,chemicalsandtextileYibincity,arethethreecorepillarsoftheindustry.In2014,thewuliangyebrandvalueto73.58billionyuan,thecity'sliquorindustrysliptostabilise.Promotingdeepdevelopmentofintegratedenergy,advancedequipmentmanufacturingindustry,changningdistr
4、ict,shalegasproductioncapacityreached277millioncubicmetres,builtthecountry'sfirstindependenthigh-yieldwellsandpipelinesinthefirstsection,theleadinfactoryproductionandsupplytothepopulation.2.1-3GDPgrowthfigure2.1-4Yibin,Yibincity,Yibincity,fiscalrevenuegrowth2.1.4topographyterra
5、inoverallisSouthwest,North-EasternState.Lowmountainsandhillsinthecitylandscapeasthemainridge-and-Valley,pingbasmallfragmentednaturepicturefor"waterandthesecondlandofthesevenhills".236metersto2000metersabovesealevelinthecity,lowmountain,46.6%hills45.3%,pingbaonly8.1%.2.1.5develo
6、pmentofYibinlandscapesanddistinctivefeatureinthecenterofthecity,withlimitations,andspatialstructureoftypicalzonalgroup,2012-citiesinbuildingwithanareaofabout76.2km2.Fromcity-buildingsituation,"oldtown-theSouthBank"Centerconstructionislaggingbehind,disintegrationoftheoldcityissl
7、ow,optimizationandupgrading,qualitypublicserviceresourcesarestillheavilyconcentratedintheoldtowntogether.SouthbankCentrehasnotbeenformed,functionsoftheserviceareaspaceismissing.Meanwhile,peripheralgroupcentresservicewasweakandinadequateaccountingforcitydevelopment,"suspicious"p
8、atterncouldnotbeformed.Asregardstransport,withtheoutwa