1 . 在平面直角坐标系中,直线l:y=x+2与y轴交于点A1,如图所示,依次作正方形OA1B1C1,正方形C1A2B2C2,正方形C2A3B3C3,正方形C3A4B4C4,…,点A1,A2,A3,A4,…在直线l上,点C1,C2,C3,C4,…在x轴正半轴上,则An的坐标是____ .
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/15/e23edae9-9f1b-4a0c-bf5d-cc9532231643.png?resizew=328)
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2021-08-12更新
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2卷引用:湖北省荆州市公安县2020-2021学年八年级下学期期末数学试题
2 . 如图,点C、B分别在两条直线y=﹣3x和y=kx上,点A、D是x轴上两点,若四边形ABCD是正方形,则k的值为 ________________ .
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/24/c662fba6-69e9-466f-af91-0dfdfcb06682.png?resizew=188)
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2021-08-12更新
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3卷引用:湖南省湘西土家族苗族自治州凤凰县2020-2021学年八年级下学期期末数学试题
3 . 如图,直角坐标系中,点
是
轴正半轴上的一个动点,过点
作
轴的平行线,分别与直线
、直线
交于
两点以
为边向右侧作正方形
.当点
在正方形
内部时,
的取值范围是_______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3b119d0cf10a948cdc53c1066af0b8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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2021-08-03更新
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2卷引用:吉林省长春市绿园区2020-2021学年八年级下学期期末数学试题
4 . 如图,正方形ABCD中,E,F分别是边BC,CD上一点,
于点G,连接AF,
,
,
.当
时,y关于x的函数解析式是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4e22ba3e6e1c1d6b12d9b8baa8d1f02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
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![](https://img.xkw.com/dksih/QBM/2021/7/23/2770323935551488/2774705726742528/STEM/0156f21e57f4436f9e6572b7d202c544.png?resizew=176)
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解题方法
5 . 如图,在正方形ABCD中,E,F分别是边BC,CD上的一点,EF=BE+DF,在△AEF内部有一点P,且∠APE=∠APF=120°,PA=2
+2,PE=4,则PF2=___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://img.xkw.com/dksih/QBM/2021/7/5/2757718835273728/2773832135213056/STEM/09c624ce-9c87-4cf5-8970-371c7e51cdbc.png)
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6 . 如图,在边长为4的正方形
中,E是
的中点,F是
上一点,
,连
,
,P,Q分别为
和
的中点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7330af1eaa4fbb442ebc7b47be6b6d7a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/10/52afbe45-2aaa-4a85-8e44-826288955631.png?resizew=134)
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2021-07-27更新
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3卷引用:湖北省武汉市江汉区2020-2021学年八年级下学期期末数学试题
7 . 如图,正方形ABCD中,点P在边AD上,
于点E,
于点F,
,
,则m,n满足的数量关系是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bc56fdf70e65bd88980c64af96b83da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97136ba3d3ffd4c48a50d69ea502d707.png)
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8 . 如图,已知正方形
的边长为6,点
是边
的中点,点
是对角线
上的动点,则
的最小值是_____________ .
![](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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2062f2e8478e9f53bfeae4a69b45f7b6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/25/93d2a292-81b5-4914-a6d5-0b2d488dd812.png?resizew=126)
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2卷引用:四川省广元市苍溪县2020-2021学年八年级下学期期中考试数学试题
名校
9 . 如图,将正方形
放在平面直角坐标系中,
是坐标原点,点
的坐标为
,则点
的坐标为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f14c88a2d38002254d1680dabde29e98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
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![](https://img.xkw.com/dksih/QBM/2021/7/8/2759899591008256/2772000243703808/STEM/af44ad2a-fa20-41aa-bc66-879ac3bcf5ba.png?resizew=195)
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2021-07-25更新
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10卷引用:广东省汕头市澄海区2020-2021学年八年级下学期期末数学试题
广东省汕头市澄海区2020-2021学年八年级下学期期末数学试题(已下线)第12章 全等三角形(能力挑战卷)-【练好重点题】2021-2022学年八年级数学上学期综合训练卷(人教版)福建省福州市永泰县2021-2022学年八年级上学期期中数学试题广东省肇庆市高要区2021-2022学年八年级下学期期末数学试题黑龙江省绥化市兰西县崇文实验学校2021-2022学年七年级(五四学制)下学期期中考试数学试题山东省泰安市泰山区博文中学2022-2023学年八年级上学期期末数学试题吉林省长春市朝阳区吉林大学附属中学2022-2023学年八年级下学期期中数学试题陕西省咸阳市秦都区咸阳方圆学校2023-2024学年九年级上学期月考数学试题陕西省渭南市蒲城县城关镇初级中学2023-2024学年九年级上学期月考数学试题陕西省渭南市蒲城县初级实验中学2023-2024学年九年级上学期月考数学试题
10 . 如图,在
中,
,边
在
轴上,
,
,
、
两点分别在边
和
轴的正半轴上,现将边长为
的正方形
沿
轴向右平移,当点
落在
边上时,则正方形
移动的距离为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
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