如图,每个小正方形的边长都为1,
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/5/ded91ff2-4efe-4b6b-b92f-0d23320fe4ff.png?resizew=126)
(1)填空
___________;
___________
(2)
是直角吗?如果是,请证明,如果不是请说明理由.
(3)直接写出点D到
的距离.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/5/ded91ff2-4efe-4b6b-b92f-0d23320fe4ff.png?resizew=126)
(1)填空
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16ca90e8a784f990c4097eec9219908d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/727ad3e630a224303d6d3b8ad5c114ba.png)
(3)直接写出点D到
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
更新时间:2023-04-03 19:54:41
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解答题-作图题
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【推荐1】【方法引导】在正方形网格中,我们可以用无刻度的直尺作已知线段的平行线、垂线,自然也就可以作特殊四边形,如平行四边形、矩形、正方形.
【问题解决】在边长为1的正方形网格中,用无刻度的直尺作图,并保留作图痕迹.
(1)如图1,作出线段
的中点O;
(2)如图2,过线段
上一点(不与点A、B重合)作一条线
,使
与
的锐角夹角为
;
(3)如图3,作线段
的垂直平分线
.
【问题解决】在边长为1的正方形网格中,用无刻度的直尺作图,并保留作图痕迹.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/8/c52840db-66a7-4e69-b00b-470e91a394d0.png?resizew=406)
(1)如图1,作出线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)如图2,过线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
(3)如图3,作线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
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解答题-作图题
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【推荐2】如图,4×10长方形网格中,每个小正方形的顶点称为格点,每个小正方形的边长均为1,点A,B,E,F都在格点上,按下列要求作图,使得所画图形的顶点均在格点上.
(1)在图中画出以AB为边的正方形ABCD;
(2)在图中画出以EF为边的等腰三角形EFG,且△EFG的周长为
;
(3)在(1)(2)的条件下,连接CG,则线段CG的长为 .
(1)在图中画出以AB为边的正方形ABCD;
(2)在图中画出以EF为边的等腰三角形EFG,且△EFG的周长为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb7537f42842cb0a70c3fb9c91a8fe0e.png)
(3)在(1)(2)的条件下,连接CG,则线段CG的长为 .
![](https://img.xkw.com/dksih/QBM/2021/8/18/2788563725189120/2790964125040640/STEM/fd2fafaa1b7c484db82f4aafb39620a9.png?resizew=275)
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解答题-作图题
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适中
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【推荐1】如图,在
的方格纸中,每个小正方形的边长都为1,
的三个顶点都在格点上,已知
,
.
(1)
的长为______.
(2)在所给方格纸中画出
.
(3)判断
的形状,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16b91b84cf6c19db7fb12b6964ba46c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/025df2a9934b457cf20d91604e430612.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19fc9f894312e55c87a0d6737080e233.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/25/e5e8bbeb-8070-4428-ac57-bba5b019f202.png?resizew=109)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)在所给方格纸中画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(3)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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解答题-问答题
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【推荐2】如图,每个小方格都是边长为1的正方形,
(1)求图中格点四边形ABCD的面积.
(2)A、B、C、D四点中有没有构成直角三角形的三点,试说明理由.
(1)求图中格点四边形ABCD的面积.
(2)A、B、C、D四点中有没有构成直角三角形的三点,试说明理由.
![](https://img.xkw.com/dksih/QBM/2017/10/10/1792321388806144/1793761759404032/STEM/d53739c078cd4f4e8ebc83c92d6065b9.png?resizew=201)
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解答题-作图题
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【推荐1】如图,
三个顶点的坐标分别为
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/14/76f9b2a3-be42-444b-91c9-ee6b5adaa7a3.png?resizew=248)
(1)请画出
向左平移5个单位长度得到的
;
(2)请画出
关于原点对称的
,并求出
的面积;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a26e951d6d2369e8da79a793a93a66a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f3cd3027a533dd07220f161c958602.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8d7d75a66dd9e14c866e39e82074d70.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/14/76f9b2a3-be42-444b-91c9-ee6b5adaa7a3.png?resizew=248)
(1)请画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4310db23fc79936c7182361e652bab1a.png)
(2)请画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828dc8dc7259c510b6d63abf40f60e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828dc8dc7259c510b6d63abf40f60e90.png)
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解答题-作图题
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【推荐2】如图,△ABC中,
,
,
,
是△ABC向右平移4个单位向上平移3个单位之后得到的图像.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/19/835c982a-5561-4ab7-9973-caf5101eaa76.png?resizew=251)
(1)
,
两点的坐标分别为
______,
______;
(2)作出△ABC平移之后的图形
;
(3)求△ABC的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1294434b22cb5133043a2270ae1c43f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39794ff7cb1122d71aa1cd4548d8ae3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46aa4df64b8827cfd81e4c91560b4b1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ee6e1d480ece7117e1f87ebf4bbeea.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/19/835c982a-5561-4ab7-9973-caf5101eaa76.png?resizew=251)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3953cec61ac602ce5eb59b7912352179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3953cec61ac602ce5eb59b7912352179.png)
(2)作出△ABC平移之后的图形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ee6e1d480ece7117e1f87ebf4bbeea.png)
(3)求△ABC的面积.
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