Pushing ahead, East, North, West development, facilitating shanty, complete xincheng West Road, stability and reconstruction of the street, Star Ding garden built century Garden District, subject public housing construction, heating the gas expansion accelerated implementation, Jing Rui River and bridge style line solid shaft, further expanded the town development. Beautiful country adhere to the advance and typical for a group to lead. According to \cal lay based, and industry increased income, and live upgrade civilization, and culture rich connotation\ht, caught built beautiful village, and whole village advance, and easily relocation, and \ee built\ct near 30 a; depth into ecological, and industry, and culture, and tourism, elements, high standards caught party original city Liu, and jade are Xia AO, model village, in province City set has benchmark. Four is equal benefits to promote sharing, coordinated development of various social undertakings. In the case of rigid spending slowing revenue growth, increase, financial 75% to the people's livelihood, the masses have more access in the sharing. Cuoban something good and benefit. Adhere to the affordable, best, carefully cuoban village oil, water and heat, cultural, city and County columns practical, developments benefit families, bring more welfare to the masses. Development of social convenience. Acceptance of balanced development of compulsory education through the national assessment, the County vocational education center was named \chool of vocational education in China\batch of national reform and development model through provincial ... Five is to deepen reform and innovation to break bottlenecks and endogenous development of effective fire. As an engine of dynamism, adding reform key to adopting reform measures stress energy and break bottlenecks and promoting development. Pay close attention to the key areas of rform. Conscientiously implement the provincial deployment and cancel, adjustment, to undertake the administrative approval items according to Regulation 347 to further improve administrative efficiency continuing deepening reform for poverty alleviation, speeding up rural land right registration certification pilot project, encouraging the orderly transfer of land management, utilize the land resources, in order to promote scale management laid the Foundation. Actively cultivate the market. Firmly establish a market-oriented, nurturing family farms, industrial users, professional cooperation organization new market management main body 456, effectively improve the industry, intensive and marketization of encouraging support social capital into the small micro-credit, urban development, culture and tourism, public services and other areas, easing development shortfall. To promote mass innovation. To support the rural sector to use new thinking and new ideas, creative work incentives such as actively promoting financial intermediation, bring added 159 in non public enterprises, individually-1540, created a1．如图所示，在平面直角坐标系中，矩形ABOC的边BO在x轴的负半轴上，边OC在

y轴的正半轴上，且AB?1，OB?3，矩形ABOC绕点O按顺时针方向旋转60后得

到矩形EFOD．点A的对应点为点E，点B的对应点为点F，点C的对应点为点D，抛物线y?ax2?bx?c过点A，E，D． （1）判断点E是否在y轴上，并说明理由； （2）求抛物线的函数表达式；

（3）在x轴的上方是否存在点P，点Q，使以点O，B，P，Q为顶点的平行四边形的面积是矩形ABOC面积的2倍，且点P在抛物线上，若存在，请求出点P，点Q的坐标；若不存在，请说明理由． （3）存在符合条件的点P，点Q． 理由如下：

矩形ABOC的面积?ABBO?3?以O，B，P，Q为顶点的平行四边

A B F C D O 第26题图

x

y E 形面积为23．由题意可知OB为此平行四边形一边， 又

2) OB?3?OB边上的高为2，依题意设点P的坐标为(m，点P在抛物线y??8253x?x?2上 99853??m2?m?2?2

99解得，m1?0，m2??53 8?53?2??P2)，P2?1(0，??8，?

??以O，B，P，Q为顶点的四边形是平行四边形，

?PQ∥OB，PQ?OB?3， 2)时， ?当点P1的坐标为(0，点Q的坐标分别为Q1(?3，2)，Q2(3，2)；

A B y E F C D O M x Pushing ahead, East, North, West development, facilitating shanty, complete xincheng West Road, stability and reconstruction of the street, Star Ding garden built century Garden District, subject public housing construction, heating the gas expansion accelerated implementation, Jing Rui River and bridge style line solid shaft, further expanded the town development. Beautiful country adhere to the advance and typical for a group to lead. According to \cal lay based, and industry increased income, and live upgrade civilization, and culture rich connotation\ht, caught built beautiful village, and whole village advance, and easily relocation, and \ee built\ct near 30 a; depth into ecological, and industry, and culture, and tourism, elements, high standards caught party original city Liu, and jade are Xia AO, model village, in province City set has benchmark. Four is equal benefits to promote sharing, coordinated development of various social undertakings. In the case of rigid spending slowing revenue growth, increase, financial 75% to the people's livelihood, the masses have more access in the sharing. Cuoban something good and benefit. Adhere to the affordable, best, carefully cuoban village oil, water and heat, cultural, city and County columns practical, developments benefit families, bring more welfare to the masses. Development of social convenience. Acceptance of balanced development of compulsory education through the national assessment, the County vocational education center was named \chool of vocational education in China\batch of national reform and development model through provincial ... Five is to deepen reform and innovation to break bottlenecks and endogenous development of effective fire. As an engine of dynamism, adding reform key to adopting reform measures stress energy and break bottlenecks and promoting development. Pay close attention to the key areas of reform. Conscientiously implement the provincial deployment and cancel, adjustment, to undertake the administrative approval items according to Regulation 347 to further improve administrative efficiency continuing deepening reform for poverty alleviation, speeding up rural land right registration certification pilot project, encouraging the orderly transfer of land management, utilize the land resources, in order to promote scale management laid the Foundation. Actively cultivate the market. Firmly establish a market-oriented, nurturing family farms, industrial users, professional cooperation organization new market management main body 456, effectively improve he industry, intensive and marketization of encouraging support social capital into the small micro-credit, urban development, culture and tourism, public services and other areas, easing development shortfall. To promote mass innovation. To support the rural sector to use new thinking and new ideas, creative work incentives such as actively promoting financial intermediaton, bring added 159 in non public enterprises, individually-1540, created a当点P2的坐标为???53?2??8，?时，

??14分

?133??33?，2?2?点Q的坐标分别为Q3????，Q4??8，?． 8????

5、如图14，已知半径为1的

OM为O1的切线，切点为M，O1与x轴交于A，B两点，

圆心O1的坐标为(2，0)，二次函数y??x2?bx?c的图象经过A，B两点． （1）求二次函数的解析式；

（2）求切线OM的函数解析式；

（3）线段OM上是否存在一点P，使得以P，O，A为顶点的三角形与△OO1M相似．若存在，请求出所有符合条件的点P的坐标；若不存在，请说明理由．

7、（12分）30．已知：如图14，抛物线y??与x轴交于点A，点B，与直线y??O A O1 B x y M 32x?34图14

3x?b相交于点4B，点C，直线y??3x?b与y轴交于点E． 4（1）写出直线BC的解析式． （2）求△ABC的面积．

（3）若点M在线段AB上以每秒1个单位长度的速度从A向B运动（不与A，B重合），同时，点N在射线BC上以每秒2个单位长度的速度从B向C运动．设运动时间为t秒，请写出△MNB的面积S与t的函数关系式，并求出点M运动多少时间时，△MNB的面积最大，最大面积是多少？

（3）过点N作NP?MB于点P EO?MB ?NP∥EO

?△BNP∽△BEO 7分

?BNNP? 8分 BEEO33?3?x?可得：E?0，? 42?2?2

由直线y??

Pushing ahead, East, North, West development, facilitating shanty, complete xincheng West Road, stability and reconstruction of the street, Star Ding garden built century Garden District, subject public housing construction, heating the gas expansion accelerated implementation, Jing Rui River and bridge style line solid shaft, further expanded the town development. Beautiful country adhere to the advance and typical for a group to lead. According to \cal lay based, and industry increased income, and live upgrade civilization, and culture rich connotation\ht, caught built beautiful village, and whole village advance, and easily relocation, and \ee built\ct near 30 a; depth into ecological, and industry, and culture, and tourism, elements, high standards caught party original city Liu, and jade are Xia AO, model village, in province City set has benchmark. Four is equal benefits to promote sharing, coordinated development of various social undertakings. In the case of rigid spending slowing revenue growth, increase, financial 75% to the people's livelihood, the masses have more access in the sharing. Cuoban something good and benefit. Adhere to the affordable, best, carefully cuoban village oil, water and heat, cultural, city and County columns practical, developments benefit families, bring more welfare to the masses. Development of social convenience. Acceptance of balanced development of compulsory education through the national assessment, the County vocational education center was named \chool of vocational education in China\batch of national reform and development model through provincial ... Five is to deepen reform and innovation to break bottlenecks and endogenous development of effective fire. As an engine of dynamism, adding reform key to adopting reform measures stress energy and break bottlenecks and promoting development. Pay close attention to the key areas of reform. Conscientiously implement the provincial deployment and cancel, adjustment, to undertake the administrative approval items according to Regulation 347 to further improve administrative efficiency continuing deepening reform for poverty alleviation, speeding up rural land right registration certification pilot project, encouraging the orderly transfer of land management, utilize the land resources, in order to promote scale management laid the Foundation. Actively cultivate the market. Firmly establish a market-oriented, nurturing family farms, industrial users, professional cooperation organization new market management main body 456, effectively improve the industry, intensive and marketization of encouraging support social capital into the small micro-credit, urban development, culture and tourism, public services and other areas, easing development shortfall. To promote mass innovation. To support the rural sector to use new thinking and new ideas, creative work incentives such as actively promoting financial intermediation, bring added 159 in non public enterprises, individually-1540, created a?在△BEO中，BO?2，EO??35，则BE? 2262tNP，?NP?t 9分 ?5352216?S?t(4?t)

25312S??t2?t(0?t?4) 10分

55312S??(t?2)2? 11分

55此抛物线开口向下，?当t?2时，S最大?12 512． 12分 5?当点M运动2秒时，△MNB的面积达到最大，最大为

11、抛物线y??ax2?2ax?b与x轴的一个交点为A(-1,0)，与y轴的正半轴交于点C． ⑴直接写出抛物线的对称轴，及抛物线与x轴的另一个交点B的坐标； ⑵当点C在以AB为直径的⊙P上时，求抛物线的解析式；

⑶坐标平面内是否存在点M，使得以点M和⑵中抛物线上的三点A、B、C为顶点的四边形是平行四边形？若存在，请求出点M的坐标；若不存在，请说明理由． 解：

⑶存在．……………………………6分

理由：如图，连接AC、BC．设点M的坐标为M(x,y)．

①当以AC或BC为对角线时，点M在x轴上方，此时CM∥AB，且CM＝AB． 由⑵知，AB＝4，∴|x|＝4，y?OC?3．

∴x＝±4．∴点M的坐标为M(4,3)或(?4,3)．…9分 ②当以AB为对角线时，点M在x轴下方． 过M作MN⊥AB于N，则∠MNB＝∠AOC＝90°．

∵四边形AMBC是平行四边形，∴AC＝MB，且AC∥MB．

3