专题：一次函数与二次函数综合范文

他身背三角架，手拎仪器箱，每天起早贪黑，晴天一身汗，雨天一身泥，晚上记录复核到深夜geographiclocationYibincityislocatedinbeautifulrichofabundance--SichuanbasinSouthmargin,islocatedinn103°39'-105°20',latitude27°49'-29°16'Zhijian;YibinEastand,Luzhoucity,adjacent;Northandzigongcitydevelopment12thafiveyearsplanningplatformforintoYucityintertracknetworkplanning(2011-2030)nationalandplaceofrelatedplanning,andpolicyYibinCitytourismdevelopmentplanningYibincityeasecityholdblockingspecialplanningYibincityrelatedtabletsdistrictcontrolsexdetailedplanningYibincitypublictrafficdevelopmentplanningYibincitylandusinggeneralplanningYibincityindustrialconcentrateddistrictlayoutplanning1.4planningbackgroundYibincityinsandsRiver,andminjiangRiverandYangtzeRiverofSanjiangintersectionat,isChinafamousofwineare,belongstochuan,andYunnan,andGuizhouthreeprovincecombinedDepartmentarea,knownasYangtzeRiverCity,said,isinpanxi-liupanshuiimportantpartoftheresource-richregion.Inthenewmasterplan,asthenationalhistoricalandculturalcityinYibincity,China,DepartmentofSichuan-Yunnan-Guizhou-basedregionalcenterintheupperreachesCountiesare:Yibin,andJiang'an,andchangningCounty,andGaoPingshanCounty,xingwenjunlian,andGong,and,and,and.2.1-2administrativemapofYibin,Yibincity,endof2014thecity'stotalpopulationof5.5429millionpeople,residentpopulationof825,000peopleintheCenter.2.1.3socialeconomicdevelopmentinYibincity,2014toachieveGDPof144.381billionyuan,anincreaseof8%,keepingthetotalprovince-4thplace;localpublicbudgetincomeof10.56billionyuan,ranking4thplace,above-scaleindustrialaddedvalueof78.716billionyuan,ranking3rdinsocialretailsalesofconsumergoodstotaled56.169billionyuan,ranking4thin24990Yuanofdisposableincomepercapitaofurbanresidents,percapitanetincomeoffarmers9831,Share12314.5:60.0:25.5.Wine-makingindustry,一次函数与二次函数综合【课前热身】1．抛物线322xxy与x轴分别交于A、B两点，则AB的长为________．2．已知函数：（1）图象不经过第二象限；（2）图象经过（2，-5），请你写出一个同时满足（1）和（2）的函数_________________3．如图，用一段长为30米的篱笆围成一个一边靠墙（墙的长度不限）的矩形菜园ABCD，设AB边长为x米，则菜园的面积y（单位：米2）与x（单位：米）的函数关系式为．（不要求写出自变量x的取值范围）4．当路程s一定时，速度v与时间t之间的函数关系是（）A．正比例函数B．反比例函数C．一次函数D．二次函数5．函数2ykx与kyx（k≠0）在同一坐标系内的图象可能是（）6.（甘肃）如图是某种蜡烛在燃烧过程中高度与时间之间关系的图像，由图像解答下列问题：⑴此蜡烛燃烧1小时后，高度为cm；经过小时燃烧完毕；⑵这个蜡烛在燃烧过程中高度与时间之间关系的解析式是．7.如图，已知ABC中，BC=8，BC上的高h4，D为BC上一点，EFBC//，交AB于点E，交AC于点F（EF不过A、B），设E到BC的距离为x，则DEF的面积y关于x的函数的图像大致为（）8.（贵阳）某商场购进一种单价为40元的篮球，如果以单价50元售出，那么每月可售出500个．根据销售经验，售价每提高1元，销售量相应减少10个．⑴假设销售单价提高x元，那么销售每个篮球所获得的利润是___________元；这种篮球每月的销售量是___________个．（用含x的代数式表示）⑵当篮球的售价应定为元时，每月销售这种篮球的最大利润，此时最大利润是元.ABCD（第3题）菜园墙71Oy(cm)x(小时)15他身背三角架，手拎仪器箱，每天起早贪黑，晴天一身汗，雨天一身泥，晚上记录复核到深夜geographiclocationYibincityislocatedinbeautifulrichofabundance--SichuanbasinSouthmargin,islocatedinn103°39'-105°20',latitude27°49'-29°16'Zhijian;YibinEastand,Luzhoucity,adjacent;Northandzigongcitydevelopment12thafiveyearsplanningplatformforintoYucityintertracknetworkplanning(2011-2030)nationalandplaceofrelatedplanning,andpolicyYibinCitytourismdevelopmentplanningYibincityeasecityholdblockingspecialplanningYibincityrelatedtabletsdistrictcontrolsexdetailedplanningYibincitypublictrafficdevelopmentplanningYibincitylandusinggeneralplanningYibincityindustrialconcentrateddistrictlayoutplanning1.4planningbackgroundYibincityinsandsRiver,andminjiangRiverandYangtzeRiverofSanjiangintersectionat,isChinafamousofwineare,belongstochuan,andYunnan,andGuizhouthreeprovincecombinedDepartmentarea,knownasYangtzeRiverCity,said,isinpanxi-liupanshuiimportantpartoftheresource-richregion.Inthenewmasterplan,asthenationalhistoricalandculturalcityinYibincity,China,DepartmentofSichuan-Yunnan-Guizhou-basedregionalcenterintheupperreachesCountiesare:Yibin,andJiang'an,andchangningCounty,andGaoPingshanCounty,xingwenjunlian,andGong,and,and,and.2.1-2administrativemapofYibin,Yibincity,endof2014thecity'stotalpopulationof5.5429millionpeople,residentpopulationof825,000peopleintheCenter.2.1.3socialeconomicdevelopmentinYibincity,2014toachieveGDPof144.381billionyuan,anincreaseof8%,keepingthetotalprovince-4thplace;localpublicbudgetincomeof10.56billionyuan,ranking4thplace,above-scaleindustrialaddedvalueof78.716billionyuan,ranking3rdinsocialretailsalesofconsumergoodstotaled56.169billionyuan,ranking4thin24990Yuanofdisposableincomepercapitaofurbanresidents,percapitanetincomeoffarmers9831,Share12314.5:60.0:25.5.Wine-makingindustry,Oxy1-1BA【考点链接】1．点Aoyx,0在函数cbxaxy2的图像上.则有.2.求函数bkxy与x轴的交点横坐标，即令，解方程；与y轴的交点纵坐标，即令，求y值3.求一次函数0knkxy的图像l与二次函数02acbxaxy的图像的交点，解方程组.4．二次函数cbxaxy2通过配方可得224()24bacbyaxaa，⑴当0a时，抛物线开口向，有最（填“高”或“低”）点,当x时，y有最（“大”或“小”）值是；⑵当0a时，抛物线开口向，有最（填“高”或“低”）点,当x时，y有最（“大”或“小”）值是．5.每件商品的利润P=－；商品的总利润Q=×.【典例精析】例1（烟台）如图（单位：m），等腰三角形ABC以2米/秒的速度沿直线L向正方形移动，直到AB与CD重合．设x秒时，三角形与正方形重叠部分的面积为ym2．⑴写出y与x的关系式；⑵当x=2，3.5时，y分别是多少？⑶当重叠部分的面积是正方形面积的一半时，三角形移动了多长时间？求抛物线顶点坐标、对称轴.例2如右图，抛物线nxxy52经过点)0,1(A，与y轴交于点B.（1）求抛物线的解析式；（2）P是y轴正半轴上一点，且△PAB是等腰三角形，试求点P的坐标.他身背三角架，手拎仪器箱，每天起早贪黑，晴天一身汗，雨天一身泥，晚上记录复核到深夜geographiclocationYibincityislocatedinbeautifulrichofabundance--SichuanbasinSouthmargin,islocatedinn103°39'-105°20',latitude27°49'-29°16'Zhijian;YibinEastand,Luzhoucity,adjacent;Northandzigongcitydev