如图,网格小正方形的边长都为1,在
中,试利用格点分别画出:边
边上的中线
、边
边上的高
,并判断
的形状.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6655e2fa64a32cd12fe0279afd65d73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
更新时间:2024-05-23 19:40:35
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解答题-作图题
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【推荐1】如图,在每个小正方形边长为1的方格纸中,△ABC的顶点都在方格纸格点上.将△ABC向左平移2格,再向上平移4格.
(1)请在图中画出平移后的△A′B′C′;
(2)在图中画出△ABC的高CD,中线BE;
(3)在图中能使S△ABC=S△PBC的格点P的个数有 个(点P异于点A).
(1)请在图中画出平移后的△A′B′C′;
(2)在图中画出△ABC的高CD,中线BE;
(3)在图中能使S△ABC=S△PBC的格点P的个数有 个(点P异于点A).
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/14/01e186b1-37f1-48fd-afe9-0ca58d3b61b8.png?resizew=211)
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解答题-问答题
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适中
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【推荐2】如图,在正方形网格上有一个
.
![](https://img.xkw.com/dksih/QBM/2020/11/18/2595591803912192/2595607989780480/STEM/de0256a090234379ab77ee997294ccc6.png?resizew=159)
(1)画一个与
全等的
.要求其顶点均在格点上,与
有且只有一个公共顶点
.(不写作法)
(2)作
边上的高(不写作法).
(3)若网格上的最小正方形边长为1,则
的面积为________.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/2020/11/18/2595591803912192/2595607989780480/STEM/de0256a090234379ab77ee997294ccc6.png?resizew=159)
(1)画一个与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)作
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(3)若网格上的最小正方形边长为1,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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解答题-证明题
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【推荐1】如图,在△ABC中,∠C=90°,AD是BC边上的中线,DE⊥AB,垂足为E,
求证:AC2=AE2-BE2.
求证:AC2=AE2-BE2.
![](https://img.xkw.com/dksih/QBM/2020/11/9/2588967313899520/2589940782415872/STEM/58fe29d832db4b62b35cd6d66d248630.png?resizew=212)
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解答题-问答题
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适中
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【推荐2】如图所示,在
中,
,
边上的中线把三角形的周长分为
和
的两部分,求这个三角形的边
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eb6ba6a20d59ed6800fdd0e2ca5727c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3668a3f3ce5b8a272ad92c2ebd233f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/2022/12/27/3139730186305536/3153187536429056/STEM/9b0d75281089487f82c1d8577a1361f6.png?resizew=109)
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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,在由边长为
个单位长度的小正方形组成的网格中,线段
的端点均为格点(网格线的交点).
先向下平移
个单位长度,再向右平移
个单位长度,得到线段
,请画出线段
(其中点
,
的对应点分别为点
,
)
(2)将线段
绕点
,顺时针旋转
得到线段
,请画出线段
,(其中点
,
的对应点分别为点
,
)
(3)在网格内描出两个格点
,
,使得四边形
为正方形,请画出正方形
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](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/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
(2)将线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7a0387fc1258f31e44a10068c0ccfd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc34876d748f30fa4fc2eb6a686b5ff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc34876d748f30fa4fc2eb6a686b5ff5.png)
![](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/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a71fc9c0068109dad1382354570665.png)
(3)在网格内描出两个格点
![](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/4ac792df0102f7f2fe363feb7a7f461d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ac792df0102f7f2fe363feb7a7f461d.png)
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解答题-计算题
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【推荐2】如图1,图2,图3,图4一个每个小正方形的边长为1正方形网格,借用网格就能计算出一些三角形的面积的面积.
![](https://img.xkw.com/dksih/QBM/2021/9/8/2803768428265472/2804247142514688/STEM/7f42bc5e-57bb-4b45-b5d4-31cf93c80237.png)
(1)请你利用正方形网格,计算出如图1所示的△ABC的面积为 .
(2)请你利用正方形网格,在图2中比较
1与
的大小.
(3)已知x是正数,请利用正方形网格,在图3中求出
的最小值.
(4)若△ABC三边的长分别为
,
,
(其中m>0,n>0且m≠n),请利用正方形网格,在图4中求出这个三角形的面积.
![](https://img.xkw.com/dksih/QBM/2021/9/8/2803768428265472/2804247142514688/STEM/7f42bc5e-57bb-4b45-b5d4-31cf93c80237.png)
(1)请你利用正方形网格,计算出如图1所示的△ABC的面积为 .
(2)请你利用正方形网格,在图2中比较
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1273f2d61040a4db13ad23c5d723fc09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cca5600300ad2b526538e0081a31c568.png)
(3)已知x是正数,请利用正方形网格,在图3中求出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b98a5053997f83c3dd81e5926689c518.png)
(4)若△ABC三边的长分别为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d1ef85f4573104a03cdc10a7fc5b607.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aae3c4ad0a985182d5c91c11255060d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80041938385d232190638c6330080180.png)
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