如图,在
的正方形网格中,每个小正方形边长都是1,每个小正方形的顶点叫做格点.A,B,C三点均在格点上.请你以点A为坐标原点,水平向右为x轴正方向,竖直向上为y轴正方向,直接在图中建立平面直角坐标系.
(1)点B的坐标为______;
(2)连接
,将线段
平移,使点B平移到点C的位置,点A平移到点D的位置,请在图中标出点D的位置,并写出点D的坐标;
(3)求三角形
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd4be97adde17423d59d86d18318c2c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/8/abd98b63-8ede-47e6-98ad-dc2cc84ee931.png?resizew=124)
(1)点B的坐标为______;
(2)连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(3)求三角形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abd284f76d9f5769bc189508ce2572b.png)
更新时间:2023-07-04 14:16:55
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【推荐1】如图,网格中每个小正方形的边长为1,点B、C的坐标分别为(-1, 3), (0, 1).
![](https://img.xkw.com/dksih/QBM/2019/12/16/2356370970025984/2357888393797633/STEM/e24eba634c3e4ea3b7b7e57b4d2dcb67.png?resizew=134)
(1)建立符合条件的直角坐标系(要求标出x轴,y轴和原点),并写出点A的坐标
(2)线段AB上任意一点的坐标可以表示为
(3)在y轴上找到一点P,使得S△ABP = 3S△ABC,求出点P的坐标.
![](https://img.xkw.com/dksih/QBM/2019/12/16/2356370970025984/2357888393797633/STEM/e24eba634c3e4ea3b7b7e57b4d2dcb67.png?resizew=134)
(1)建立符合条件的直角坐标系(要求标出x轴,y轴和原点),并写出点A的坐标
(2)线段AB上任意一点的坐标可以表示为
(3)在y轴上找到一点P,使得S△ABP = 3S△ABC,求出点P的坐标.
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解答题-作图题
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【推荐2】如图,在平面直角坐标系中,
三个顶点的坐标分别为
,
,
,作出
关于
轴对称的图形为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/2/69b552fb-5191-4cdf-8801-771a12e20bc7.png?resizew=294)
(1)请作出
;
(2)点
、
的坐标分别为:
(_________)、
(_________);
(3)
的大小为_________.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/383f12cb70ca55eba4ff012771dbfa9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24705e5759ac944559f305c694c9f6d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9988951f970f0195a18cccc981e0d6fa.png)
![](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/d1dc5667bbf205d6c6c6d189ebda123e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/2/69b552fb-5191-4cdf-8801-771a12e20bc7.png?resizew=294)
(1)请作出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1dc5667bbf205d6c6c6d189ebda123e.png)
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ebd231c200053d502ff2fe0dfe8e068.png)
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【推荐1】如图,在平面直角坐标系中,△ABC的三个顶点的坐标分别为A(-3,4),B(-4,2),C(-2,1),且△A1B1C1与△ABC关于原点O成中心对称.
(1)画出△A1B1C1,并写出点A1的坐标;
(2)P(a,b)是△ABC的AC边上一点,△ABC经平移后点P的对应点为P'(a+3,b+1),请画出平移后的△A2B2C2.
(1)画出△A1B1C1,并写出点A1的坐标;
(2)P(a,b)是△ABC的AC边上一点,△ABC经平移后点P的对应点为P'(a+3,b+1),请画出平移后的△A2B2C2.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/6/f3d9ccd5-ec70-4586-9ce4-b16e75d847ef.png?resizew=185)
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解答题-作图题
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【推荐2】如图,在平面直角坐标系中,点A,B,C的坐标分别是
,
,
,将
平移,使得点A移到点
,点B,C的对应点分别是点E,F.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/21/132717ea-98e0-49c7-a043-f51c075707d4.png?resizew=248)
(1)画出
,并写出点F的坐标.
(2)作直线
经过点
,且与x轴平行,在直线
上画出点P,使得
的周长最小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c28da34849b895986967765f5cca338d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e1fa617863e37a37908aba227fce3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5558ffa6dc28d437c0467c7f361d444.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33ab82c33e6c1f8b73628fa78e6868b4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/21/132717ea-98e0-49c7-a043-f51c075707d4.png?resizew=248)
(1)画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
(2)作直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1803dc3c76fd2b51696647aa18602412.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95558cdc4ce1e6d9462d2e91c070655f.png)
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解答题-问答题
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【推荐1】如图,
在平面直角坐标系中.
(2)求三角形
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)求三角形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
您最近一年使用:0次
解答题-作图题
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【推荐2】如图,在
正方形网格中,每个小正方形边长都为1个单位长度,我们把每个小正方形的顶点称为格点,点A,B,C都为格点,请仅用无刻度的直尺按下列要求完成作图.
(1)在图1中,画线段
,且点
为格点;
(2)在图2中,找一格点E,画出三角形
,使得三角形
的面积等于
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd4be97adde17423d59d86d18318c2c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/10/7537aebc-51dd-4e5c-8974-78581d16bcb4.png?resizew=278)
(1)在图1中,画线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16aad38b43462ca7a8fb9bc9484ad3a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(2)在图2中,找一格点E,画出三角形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d09072f5be97caf5e942ae8fc16b0bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d09072f5be97caf5e942ae8fc16b0bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c0874f019492261eb175bdcc08c189d.png)
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