1 . 如图,在
中
为
的中点,
为
上一点,
与
交于点
,则
的长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5138a9f70d5e8b0580e30fef6eb7baef.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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b51aff500a5192c0225e9c99e78f1065.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/7/527bad3b-27b6-44e6-b71b-66c18b072985.png?resizew=171)
A.![]() | B.![]() | C.![]() | D.![]() |
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5卷引用:辽宁省丹东市东港市2022-2023学年九年级上学期开学考试数学试题
辽宁省丹东市东港市2022-2023学年九年级上学期开学考试数学试题辽宁省丹东市东港市2022-2023学年九年级上学期期中考试数学试题(已下线)专题4.11 通过作平行线构造A(X)图型解决问题(分层练习)-2023-2024学年九年级数学上册基础知识专项突破讲与练(北师大版)浙江省金华市义乌市三校联考2023-2024学年九年级上学期期中数学试题四川省内江市市中区市中区天立学校2023-2024学年九年级上学期期中数学试题
2 . 如图,点
为正方形
对角线
的中点,将以点
为直角顶点的直角
绕点
旋转
的边
始终在正方形
外),若正方形
边长为2,则在旋转过程中
与正方形
重叠部分的面积为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/19/72019fc1-199b-4ff9-9122-9982c79f9c3b.png?resizew=143)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80109f84d1dd3432514ffa836f51d37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1f6e0032ca6b3d1ba7e31d2c97bc67c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e55e398e8520d8a36fb5a625a085b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80109f84d1dd3432514ffa836f51d37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/19/72019fc1-199b-4ff9-9122-9982c79f9c3b.png?resizew=143)
A.4 | B.3 | C.2 | D.1 |
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2卷引用:辽宁省丹东市东港市2022-2023学年九年级上学期开学考试数学试题
3 . 抛物线
与x轴交于A、B两点,与y轴交于点C,且点A的坐标为
,点C的坐标为
,对称轴为直线
.点D是抛物线上一个动点,设点D的横坐标为m,连接AC,BC,DC.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/5/d22b99fe-af38-464b-b3a6-0b337c46f8bd.png?resizew=314)
(1)求抛物线的函数表达式;
(2)若
,求m值.
(3)点F坐标为(0,2),连接AF,点P在直线AF上,点Q是平面上任意一点,当以A、C、P、Q四点为顶点的四边形为菱形时,直接写出Q坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20cc6de24c9f456f41c15f609fe2c2c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b5a63e00afba3220756e65d76e3b25e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3946d125737c62ef0bfd43e50a6fbfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/5/d22b99fe-af38-464b-b3a6-0b337c46f8bd.png?resizew=314)
(1)求抛物线的函数表达式;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d1535c1f2cdfafc431bd658dc51744.png)
(3)点F坐标为(0,2),连接AF,点P在直线AF上,点Q是平面上任意一点,当以A、C、P、Q四点为顶点的四边形为菱形时,直接写出Q坐标.
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