如图,方格纸中每个小方格都是边长为1个单位的正方形,学校位置坐标为
,图书馆位置坐标为
,解答下列问题:
(2)若体育馆位置坐标为
,请在坐标系中标出体育馆的位置C;
(3)点C绕原点顺时针旋转90°得到点D,直接写出点D的坐标;
(4)顺次连接学校、图书馆、体育馆,得到
,求
的面积.
(5)若三角形
内部有一点
,经过平移后的对应点Q的坐标为
,且A、B、C的对应点分别为D、E、F,请说明
是如何由
平移得到(沿网格线平移).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78eba6f91d97cea1dfd73bae53e7b689.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aaa0cf8f26c253bcec0a3ebf38ab1ea.png)
(2)若体育馆位置坐标为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94f9b41a7a0c824458c1cd277098adb7.png)
(3)点C绕原点顺时针旋转90°得到点D,直接写出点D的坐标;
(4)顺次连接学校、图书馆、体育馆,得到
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(5)若三角形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44ee82573986d4fa6a7ee1b5f397edae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a806321431318883a3f03e39025fb81d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
更新时间:2024-05-11 08:18:18
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解答题-问答题
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【推荐1】如图,在直角坐标系中,矩形ABCD的边
,
,AB在x轴上,点C在直线
上.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/10/ccb18e76-d0c7-4172-8369-189e8129df78.png?resizew=205)
(1)直接写出矩形各顶点坐标;
(2)若直线
与y轴交于点E,抛物线过E,A,B三点,求抛物线的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/026808536f6b6d265c778e23836fbf13.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/10/ccb18e76-d0c7-4172-8369-189e8129df78.png?resizew=205)
(1)直接写出矩形各顶点坐标;
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/026808536f6b6d265c778e23836fbf13.png)
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解答题-作图题
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【推荐2】
在方格纸中的位置如图所示.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/3/468ad973-ea4b-45b1-b6fa-1e40f5fbd621.png?resizew=225)
(1)请在方格纸上建立适当的平面直角坐标系,使得A、
两点的坐标分别为
,
,并求出点
的坐标;
(2)在(1)的条件下,作出
关于
轴对称的
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/3/468ad973-ea4b-45b1-b6fa-1e40f5fbd621.png?resizew=225)
(1)请在方格纸上建立适当的平面直角坐标系,使得A、
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1da9dcf6c319174c9ea2b1ceaed1649a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f53a1e932878ba2daabda192156b59eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41f6303bf744d9c7f70a4728959e8174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce1132157a33c82610c2d5035493d024.png)
(2)在(1)的条件下,作出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4310db23fc79936c7182361e652bab1a.png)
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解答题-作图题
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(0.85)
【推荐1】
在平面直角坐标系中的位置如图所示,并且A,B,C三点在格点上.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/20/2bdb43a9-e811-4ad2-921d-6c4ab8374672.png?resizew=220)
(1)作出
关于x轴对称的
;并写出点
,
的坐标:
____,
____;
(2)求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/20/2bdb43a9-e811-4ad2-921d-6c4ab8374672.png?resizew=220)
(1)作出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4310db23fc79936c7182361e652bab1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e57c789cfd4b0be7dbf63aa99435656.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c1475903b0acc65cb93f58099993c60.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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【推荐2】已知
、
、
三个点在平面直角坐标系中的坐标分别为
,
,
.
(1)合理建立坐标系,并画出
;
(2)作
关于
轴成轴对称的
,并写出
,
,
的坐标;
(3)在
轴上有一点
,使
的值最小,请在坐标系中标出点
的位置.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15797e87c7412cfc219281464d506ac0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30e38411e213cf950a49016feadff2ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7633890de0de896f792c248fdf9625dd.png)
(1)合理建立坐标系,并画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)作
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4310db23fc79936c7182361e652bab1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(3)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a13ec9a812274ad0839f20ba17348687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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解答题-作图题
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【推荐1】已知一个直角三角形的两条直角边长分别为
,将这个三角形绕直角顶点按逆时针方向连续旋转三次,每次都旋转
.
(1)试画出每次旋转前后的三角形;
(2)将所得的所有三角形看成一个图形,你将得到怎样的图形?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4db70b6649ea55ec05e4165a77d330f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
(1)试画出每次旋转前后的三角形;
(2)将所得的所有三角形看成一个图形,你将得到怎样的图形?
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【推荐2】将正三角形
绕它的顶点C按顺时针方向旋转
,作出旋转后的图形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/21/e2eb553e-0cf8-49bc-8b7e-50e20cd80d33.png?resizew=185)
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【推荐1】已知:
在直角坐标平面内,三个顶点的坐标分别为
、
、
(网格中每个小正方形的边长是一个单位长度).
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/10/d36744d4-d39a-426e-b02c-8b3652a04153.png?resizew=183)
(1)将
向下平移3个单位长度得
,则点
的坐标是______;
(2)作图:以点B为位似中心,在网格内画出
,使
与
位似,且相似比为
;
(3)点
的坐标是______,
的面积是______平方单位.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee33736169c249a029f478a605dc2c05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50cda44186bf89ea3232d78c05a8e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ffabaeaf60b2cf8aba534b001d27e0b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/10/d36744d4-d39a-426e-b02c-8b3652a04153.png?resizew=183)
(1)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4310db23fc79936c7182361e652bab1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)作图:以点B为位似中心,在网格内画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828dc8dc7259c510b6d63abf40f60e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828dc8dc7259c510b6d63abf40f60e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbe103f073845122c66f22dcb14b711f.png)
(3)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828dc8dc7259c510b6d63abf40f60e90.png)
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名校
【推荐2】
在平面直角坐标系中的位置如图所示.A、B、C三点在格点上.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/16/da8feb55-b6dd-4400-a3d3-91daaf248816.png?resizew=261)
(1)作出
关于y轴对称的
,并写出点
的坐标;
(2)作出
关于x轴对称的
并写出点
的坐标;
(3)求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/16/da8feb55-b6dd-4400-a3d3-91daaf248816.png?resizew=261)
(1)作出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4310db23fc79936c7182361e652bab1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
(2)作出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4310db23fc79936c7182361e652bab1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828dc8dc7259c510b6d63abf40f60e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0df7494ac35a541f4c009a750794f9d5.png)
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