题目
题型:湖北省中考真题难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150213-56227.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150213-81285.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150213-13632.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150214-43305.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150214-72717.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150214-83593.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150214-18811.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150214-87488.png)
(1)求抛物线
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150214-94737.png)
(2)已知实数
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150215-34627.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150215-45846.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150215-22855.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150215-83294.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150215-36031.png)
(3)若抛物线先向上平移4个单位,再向左平移1个单位后得到抛物线
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150215-13685.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150215-97414.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150216-67249.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150216-36836.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150216-92724.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150216-47758.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150216-19864.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150217-27143.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150217-67454.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150217-37315.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150217-90971.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150217-84160.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150217-23192.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150218-53728.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150218-60826.png)
(参考公式:在平面直角坐标系中,若
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150218-30550.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150218-17257.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150218-17053.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150218-11835.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150219-20889.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150219-50359.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150219-74553.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150220-94483.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150220-59170.png)
又∵方程
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150220-62042.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150220-89220.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150220-83798.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150220-97889.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150221-12076.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150221-67092.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150221-33920.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150221-15762.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150222-64507.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150222-91170.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150222-42598.png)
∴抛物线
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150222-57231.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150222-38928.png)
∴抛物线
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150222-52463.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150222-74375.png)
(2)∵
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150223-96382.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150223-79779.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150223-65346.png)
而
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150223-80543.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150223-92971.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150223-19075.png)
当且仅当
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150224-41370.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150224-23522.png)
(3)由题意可求抛物线
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150224-26333.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150224-48423.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150225-25358.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150225-37222.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150225-88783.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150225-89912.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150225-31706.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150226-47953.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150226-51954.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150226-20927.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150226-31752.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150227-49843.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150227-23003.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150227-88844.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150227-73764.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150227-28765.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150228-53351.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150228-64934.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150228-61364.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150228-10583.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150229-93863.png)
由(2)知:
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150229-13828.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150229-74959.png)
当且仅当
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150229-90245.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150229-83607.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150230-40305.png)
∴一次函数
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150230-70789.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150230-76579.png)
核心考点
试题【已知抛物线的函数解析式为,若抛物线经过点,方程的两根为,,且。(1)求抛物线的顶点坐标.(2)已知实数,请证明:≥,并说明为何值时才会有.(3)若抛物线先向上平】;主要考察你对二次函数的应用等知识点的理解。[详细]
举一反三
(1)把上表中x、y的各组对应值作为点的坐标,在下面的平面直角坐标系中描出相应的点,根据所描出的点猜想y是x的什么函数,并求出函数关系式;
(2)当销售单价定为多少时,工艺厂试销该工艺品每天获得的利润最大?最大利润是多少?(利润=销售总价﹣成本总价)
(3)当地物价部门规定,该工艺品销售单价最高不能超过45元/件,那么销售单价定为多少时,工艺厂试销该工艺品每天获得的利润最大?
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150203-31279.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150203-66569.png)
(1)求A"点的坐标;
(2)求过C,A",A三点的抛物线y=ax2+bx+c的解析式;
(3)在(2)中的抛物线上是否存在点P,使以O,A,P为顶点的三角形是等腰直角三角形?若存在,求出所有点P的坐标;若不存在,请说明理由.
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150157-38093.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150149-96647.png)
(1 )求抛物线的解析;
(2)设点P在抛物线上滑动,且满足条件S△PAB=1的点P有几个?并求出所有点P的坐标;
(3)设抛物线交y轴于点C,问该抛物线对称轴上是否存在点M,使得△MAC的周长最小。若存在,求出点M的坐标;若不存在,请说明理由。
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150150-78716.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150144-28557.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150145-67636.png)
B. 36
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150145-76536.png)
C.72米
D.18
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150145-42446.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150114-45397.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150114-49149.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150115-11825.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150115-97168.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150115-43426.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150115-27738.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150115-64144.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150116-57285.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150116-59825.png)
(1)求出抛物线的解析式;
(2)如图①,作矩形
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150116-40958.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150116-75645.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150117-75252.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150117-52663.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150117-37011.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150117-85878.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150118-81927.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150118-61383.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150118-71677.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150118-47391.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150119-57570.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150119-98259.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150119-47829.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150119-20182.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150120-89897.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150120-95989.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150120-90055.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150120-96185.png)
(3)如图②,在图①的抛物线中,点
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150121-64630.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150121-83991.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150121-23355.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150121-38943.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150121-29388.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150123-62505.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150123-40769.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150123-26557.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150123-95932.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150124-58507.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150124-80702.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150124-53218.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150125-18332.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020150125-21660.png)
最新试题
- 1我国各地气候差别很大,读图回答问题.(1)甲、乙两地中一月气温低于0℃的是______地,气温年较差较小的是______
- 2-- Do you think it"s a good idea to make friends with your s
- 3One potential problem with allowances is that children’s res
- 4一轻弹簧原长8cm,若将其悬挂于竖直方向,在它的下端挂一质量为2.5kg的重物,静止时弹簧秤的长度为13cm.若将该重物
- 5材料一:2010年4月14日,青海省玉树县发生强烈地震。地震发生后,各级党委和政府迅速采取措施抗震救灾。4月14日玉树机
- 6读我国东部沿海地区主要工业基地分布图,回答下列问题.(1)天津的华先生奉命到C地采购近万吨食糖,该地制造食糖的原料主要是
- 7开辟新航路引起所谓的“商业革命”,其表现是 ①世界各地区、各民族之间的经济和文化交往扩大②欧洲的商路及贸易中心转移 ③市
- 8如图是某同学对细胞知识的归纳,下列①②③④⑤名词完全正确的一项是( )A.①细胞膜②细胞壁③细胞核④叶绿体⑤线粒体B.
- 9下列关于机械波的说法,正确的是[ ]A.波源振动越快,波传播的速度就越大 B.波的频率等于介质中各质点的振动频率
- 10每年12月25日的圣诞节是西方许多国家的重要节日,与这一节日直接相关的宗教是A.佛教B.基督教C.伊斯兰教D.道教
热门考点
- 1首先总结出“一切物体在没有受到力的作用时,总保持匀速直线运动状态或静止状态”结论的著名科学家是( )A.伽利略B.牛顿
- 2Isimply couldn’t understand how it _______ that you did so m
- 3求和 =
- 4在“绿叶在光下制造淀粉”的实验中,将绿叶放在酒精中隔水加热的目的是[ ]A.使淀粉变蓝色 B.清洗叶片 C.溶解
- 5真空中有两个静止的点电荷,它们之间的相互作用力F,若它们的带电量都增大为原来的2倍,距离减少为原来的1/2,它们之间的相
- 6-You look pale. What"s __________ with you?-I have _________
- 7若方程组3x+y=k+1x+3y=3的解满足0<x+y<1,求k的取值范围.
- 8【题文】下列选项中对加点词意义和用法判断正确的一项是( )①若属皆且为所
- 9Elizabeth Taylor, the Hollywood legend died at CedarsSinai
- 10欧洲西部没有的气候类型是[ ]A.温带季风气候B.温带海洋性气候C.地中海气候D.高山高原气候