1 . 如图,在平行四边形
中,
,
.连接
,且
,
平分
交
与于点
.点
在
边上,
,若线段
(点P在点
的左侧)在线段
上运动,
,连
、
,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e918b70b02a73685e3c536c7f380e2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc34db5860990e51ba31edc8cdd077c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff9c7cbcc38b28d45c8539710e5b260a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3702b5620dbee356a8e560c78d223ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d70d7f59b6b1d7e2eafbf6febb51ffc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c32b6a183b1cbfedafb19f2438021d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3171b3d11c6f4619e189677345357508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e22b9bcf219e45b303787e58ec2d233.png)
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2 . 如图,在平面直角坐标系中,矩形
的顶点A在
轴的正半轴上,点
在
轴的正半轴上,线段
,
的长分别是
,
且满足
,点
是线段
上一点,将
沿直线
翻折,点
落在矩形对角线
上的点
处.
的长;
(2)求点
的坐标;
(3)
所在直线与
相交于点
,点
在
轴的正半轴上,以
、A、
、
为顶点的四边形是平行四边形时,求
点坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/192cc97369955c0edd7c45baf09d28c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/372629a8666de1e9bac3e7daadcac7b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c590673eece14fea3319c4fd5eb55.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
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6卷引用:湖北省荆州市荆州区2022-2023学年八年级下学期期末数学试题
湖北省荆州市荆州区2022-2023学年八年级下学期期末数学试题惠州市惠城区2018-2019学年度第二学期期末质量检测八年级数学试卷(已下线)专题19.16 《一次函数》全章复习与巩固(专项练习)-2020-2021学年八年级数学下册基础知识专项讲练(人教版)海南省海口市秀英区北京大学附属中学海口学校2020-2021学年八年级下学期期中数学试题辽宁省营口市大石桥市十五校2022-2023学年八年级下学期6月月考数学试题山西省大同市平城区大同市第三中学校2023-2024学年八年级下学期月考数学试题
3 . 如图1,在平面直角坐标系中,抛物线
交x轴于
、
两点,交y轴于点C,连接
,直线
解析式为
.
(1)a= ;b= ;k= ;m= .
(2)如图2.点P为线段
上方的抛物线上一动点,点F为x轴上一个动点,连接
、
,当
面积最大时,求
的最小值,并求出此时P点的坐标.
(3)在(2)的条件下,将抛物线向右移两个单位,再向上移两个单位,得到新抛物线,点E是新抛物线对称轴上一点,点N是新抛物线上一点,直接写出所有使得以点B、P、N、E为顶点的四边形是平行四边形的点N的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ceba6b11658f2cc227b1f550ba25c3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a525534689bd2701205d4ab17574c39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c850811ba59a05e945a665196539a048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15b256345d7109e081b7c895591e995d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/8/694af18b-ae87-44f8-86cf-fe3182e69eee.png?resizew=347)
(1)a= ;b= ;k= ;m= .
(2)如图2.点P为线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fbfcae2cecc98e2d6c16dde6d3ec1c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78e55d3700177e4eae9215e2c2d4a8b6.png)
(3)在(2)的条件下,将抛物线向右移两个单位,再向上移两个单位,得到新抛物线,点E是新抛物线对称轴上一点,点N是新抛物线上一点,直接写出所有使得以点B、P、N、E为顶点的四边形是平行四边形的点N的坐标.
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4 . 如图,在平行四边形
中,点
在
边上,将
沿着
翻折得到
,已知
,
,
,设
,当点
落在
内部(含边上)时,
的取值范围________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34dbf33492e5223df78dea34a24ae015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4b1fdfa6c28c7b4113ba306547aa4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18b5e7ad8fde2001e99ae54838adb9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19faa41278c9f5013f17b201a75db964.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c29bf5a05dd46f6e03dfd22c32f7ce1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d631f45bc652539853f236952afa5bbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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5 . 如图,在平面直角坐标系中,二次函数
的图象与x轴交于A、B两点(点A在点B的右边).其中,点B的坐标为
,对称轴为
.
![](https://img.xkw.com/dksih/QBM/2022/5/12/2977676655353856/2978558031208448/STEM/30d4752d-ed4c-43c9-9c83-06eaeac3da2d.png?resizew=161)
(1)求二次函数的解析式.
(2)当
时,
,直接写出m的取值范围______.
(3)若点C的坐标为
,点D是此函数在第一象限图象上的一个动点,连接AC、AD,并以AC、AD为邻边作平行四边形ADEC,设点D的横坐标为t.
①设点E的纵坐标为n,求出n与t的函数关系式和n的最大值.
②若线段DE与抛物线只有一个交点,直接写出t的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f18269e4b2c08f69b719c4c7e7d71733.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5180c8c79c1fce79a60c1cd0194ba2c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://img.xkw.com/dksih/QBM/2022/5/12/2977676655353856/2978558031208448/STEM/30d4752d-ed4c-43c9-9c83-06eaeac3da2d.png?resizew=161)
(1)求二次函数的解析式.
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39c2c49c7391a3774af8ca99bc3cf9ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c133c6fe5c9c4aeaaac0e0d1d6e4fa2.png)
(3)若点C的坐标为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51fedad030e5d237975562b422c656fb.png)
①设点E的纵坐标为n,求出n与t的函数关系式和n的最大值.
②若线段DE与抛物线只有一个交点,直接写出t的取值范围.
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3卷引用:2022年湖北省谷城县初中毕业生适应性考试数学试题
6 . 已知如图,在![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81a5328919a7cec382c2e91c9c528fc1.png)
中,点
是
边上一点,连接
、
,
,
,点
是
上一动点,连接
.
![](https://img.xkw.com/dksih/QBM/2021/7/11/2761771139006464/2770421899108352/STEM/98475e5a-ef5c-4ce5-9d53-a74265ca5eaf.png?resizew=554)
(1)如图1,若点
是
的中点,
,求![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81a5328919a7cec382c2e91c9c528fc1.png)
的面积;
(2)如图2,当
时,连接
,求证:
;
(3)如图3,以
为直角边作等腰
,
,连接
,若
,
,当点
在运动过程中,请直接写出
周长的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81a5328919a7cec382c2e91c9c528fc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a702c324e0c76150540c3d32df802077.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31b2cc1d0bfd22c88286880b9da1f6f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc56c77464a17a1e97b568762a3e2c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://img.xkw.com/dksih/QBM/2021/7/11/2761771139006464/2770421899108352/STEM/98475e5a-ef5c-4ce5-9d53-a74265ca5eaf.png?resizew=554)
(1)如图1,若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc56c77464a17a1e97b568762a3e2c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f25a13423cebb3b19c9b9bbd21a7286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81a5328919a7cec382c2e91c9c528fc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)如图2,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f60db833d4ff6b92c78029e8264ca1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc2cf84b390b549c85d2d52d7e982e68.png)
(3)如图3,以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f617ed720a28eef74ad8345ccda2f8ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1de77c66488139042756fadc7540072d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91f3956f008cc29ca4bae44a087d5427.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fb55961fe96e155242d18d98e5c2261.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2395720e6d6aeb7efdcd8e921849acf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d20227c155003de7163d407daf0a5e74.png)
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2卷引用:湖北省武汉市东湖新技术开发区华中师范大学第一附属中学光谷分校2021-2022学年八年级下学期月考数学试题
名校
7 . 如图,在平面直角坐标系中,直线AB交x轴于点A(﹣2,0), 交y轴于点B(0,4),直线y=kx+b经过点B且交x轴正半轴于点C,已知△ABC面积为10.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/5/0ec21ab3-f266-446b-bac8-1eea261c5bf7.png?resizew=436)
(1)点C的坐标是( , ),直线BC的表达式是 ;
(2)如图1,点E为线段AB中点,点D为y轴上一动点,以DE为直角边作等腰直角三角形△EDF,且DE=DF,当点F落在直线BC上时,求点D的坐标;
(3)如图2,若G为线段BC上一点,且满足S△ABG=S△ABO,点M为直线AG上一动点,在x轴上是否存在点N,使以点B,C,M,N为顶点的四边形为平行四边形?若存在,请直接写出点N的坐标;若不存在,说明理由;
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/5/0ec21ab3-f266-446b-bac8-1eea261c5bf7.png?resizew=436)
(1)点C的坐标是( , ),直线BC的表达式是 ;
(2)如图1,点E为线段AB中点,点D为y轴上一动点,以DE为直角边作等腰直角三角形△EDF,且DE=DF,当点F落在直线BC上时,求点D的坐标;
(3)如图2,若G为线段BC上一点,且满足S△ABG=S△ABO,点M为直线AG上一动点,在x轴上是否存在点N,使以点B,C,M,N为顶点的四边形为平行四边形?若存在,请直接写出点N的坐标;若不存在,说明理由;
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2021-07-23更新
|
1042次组卷
|
4卷引用:湖北省武汉市东湖新技术开发区华中师范大学第一附属中学光谷分校2021-2022学年八年级下学期月考数学试题
8 . 如图1,已知正方形
的顶点
分别在
轴和
轴上,边
交
轴的正半轴于点
.
![](https://img.xkw.com/dksih/QBM/2020/5/2/2454296124203008/2454944757407744/STEM/27fc3fda4f7543efb8fb30df9c7036db.png?resizew=212)
![](https://img.xkw.com/dksih/QBM/2020/5/2/2454296124203008/2454944757407744/STEM/6ea91e75fc4a4f849d16027d26621443.png?resizew=214)
(1)若
,且
,求
点的坐标;
(2)在(l)的条件下,若
,求
点的坐标;
(3)如图2,连结
交
轴于点
,点
是
点上方
轴上一动点,以
、
为边作
,使
点恰好落在
边上,试探讨
,
与
的数量关系,并证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/2020/5/2/2454296124203008/2454944757407744/STEM/27fc3fda4f7543efb8fb30df9c7036db.png?resizew=212)
![](https://img.xkw.com/dksih/QBM/2020/5/2/2454296124203008/2454944757407744/STEM/6ea91e75fc4a4f849d16027d26621443.png?resizew=214)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9fdc8bce44c7ade4434f11ca251bd28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea1cb04a536bee708031eadf174ac698.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)在(l)的条件下,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/766fd83e77cf40a3874752de9071996c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(3)如图2,连结
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/826c728050e3378921442ace20269ef6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9b50ec12f8ec936742c69291353b65c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b39addc1173a458af87ed5c5e3f06466.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e72b2e1ff83e95df048745322982451.png)
您最近一年使用:0次
名校
9 . 抛物线y=ax2+bx+3经过点A(﹣1,0),B(3,0),与y轴交于点C.点D(xD,yD)为抛物线上一个动点,其中1<xD<3.连接AC,BC,DB,DC.
(1)求该抛物线的解析式;
(2)当△BCD的面积等于△AOC的面积的2倍时,求点D的坐标;
(3)在(2)的条件下,若点M是x轴上一动点,点N是抛物线上一动点,试判断是否存在这样的点M,使得以点B,D,M,N为顶点的四边形是平行四边形.若存在,求出点M的坐标;若不存在,请说明理由.
(1)求该抛物线的解析式;
(2)当△BCD的面积等于△AOC的面积的2倍时,求点D的坐标;
(3)在(2)的条件下,若点M是x轴上一动点,点N是抛物线上一动点,试判断是否存在这样的点M,使得以点B,D,M,N为顶点的四边形是平行四边形.若存在,求出点M的坐标;若不存在,请说明理由.
您最近一年使用:0次
2020-01-16更新
|
584次组卷
|
4卷引用:2019年湖北省武汉市江岸区中考数学模拟试题
真题
10 . 已知,△ABC在平面直角坐标系中的位置如图①所示,A点坐标为(﹣4,0),B点坐标为(6,0),点D为BC的中点,点E为线段AB上一动点,连接DE经过点A、B、C三点的抛物线的解析式为
.
(1)求抛物线的解析式;
(2)如图①,将△ADE以DE为轴翻折,点A的对称点为点G,当点G恰好落在抛物线的对称轴上时,求G点的坐标;
(3)如图②,当点E在线段AB上运动时,抛物线
的对称轴上是否存在点F,使得以C、D、E、F为顶点的四边形为平行四边形?若存在,请直接写出点E、F的坐标;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70a31bc26ae2a56d4d19789fd3c03ac1.png)
(1)求抛物线的解析式;
(2)如图①,将△ADE以DE为轴翻折,点A的对称点为点G,当点G恰好落在抛物线的对称轴上时,求G点的坐标;
(3)如图②,当点E在线段AB上运动时,抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70a31bc26ae2a56d4d19789fd3c03ac1.png)
![](https://img.xkw.com/dksih/QBM/2017/5/16/1688173177708544/1688897567039488/STEM/fcda6860e0dc4e3eaa5d0f813320078d.png?resizew=448)
您最近一年使用:0次
2016-12-06更新
|
1234次组卷
|
4卷引用:湖北省襄阳市襄州区2017年中考适应性考试数学试题