如图,点A,B均在第一象限.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/18/a3b6e787-c1d9-4782-857a-a53299d16e31.png?resizew=278)
(1)将点
向下平移
个单位,试作出相应的点
.
(2)试用无刻度直尺在
轴上找一点
,使得
最小.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/18/a3b6e787-c1d9-4782-857a-a53299d16e31.png?resizew=278)
(1)将点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
(2)试用无刻度直尺在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a13ec9a812274ad0839f20ba17348687.png)
更新时间:2024-02-18 11:57:33
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【推荐1】如图在7×7的正方形网格中,每个小正方形的边长均为1,线段
与
的端点均在小正方形的顶点上.
![](https://img.xkw.com/dksih/QBM/2022/3/4/2929163038269440/2938280054923264/STEM/3bc54928-389e-45d8-9e67-f36a7f3b2d29.png?resizew=177)
(1)过点
画
的平行线
,且
;
(2)将线段
先向右平移3格再向下平移1格得到线段
;(其中点
与点
对应,点
与点
对应)
(3)在(1)(2)所画的结果中求得三角形
的面积为 .(直接写出结果)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/2022/3/4/2929163038269440/2938280054923264/STEM/3bc54928-389e-45d8-9e67-f36a7f3b2d29.png?resizew=177)
(1)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](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/df4a2a127d89d50d3fde881a9b58ef0c.png)
(2)将线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(3)在(1)(2)所画的结果中求得三角形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14af6bf74442941c372bb708bcdcb5e6.png)
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【推荐2】在正方形网格中,每个小正方形的边长均为1个单位长度,
的三个顶点的位置如图所示,现将
平移,使点A变换为点D,点E、F分别是B、C的对应点.请画出平移后的
,并求
的面积
______.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6706fe00b4e231e62d9ecbec567d526b.png)
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【推荐1】如图所示,
轴,且
,
点坐标为
,若
:
(1)写出
,
坐标;
(2)你发现
,
,
,
坐标之间有何特征?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5dd60009f8f70be193b6d3c1808912e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a0bdb961cb7fded76872c7c82be721f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e59cd061eb2ba34dae02693e1d463141.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b96f1e7f20a2eac0e75fd34a6928dc4d.png)
(1)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(2)你发现
![](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/8455657dde27aabe6adb7b188e031c11.png)
![](https://img.xkw.com/dksih/QBM/2018/12/21/2101552235978752/2103208057380864/STEM/2697b3f44ee44f2189fc4ded4177032e.png?resizew=107)
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【推荐2】已知△A1B1C1是由△ABC经过平移得到的,其中A、B、C三点的对应点分别是A1、B1、C1,它们在平面直角坐标系中的坐标如表所示:
(1)填空:c=______;
(2)在平面直角坐标系中画出△ABC和△A1B1C1;
![](https://img.xkw.com/dksih/QBM/2022/4/9/2954024039112704/2955400969879552/STEM/802543ed-abd2-443f-8aa1-9207ef3687d1.png?resizew=280)
(3)写出△ABC是经过怎样平移得到△A1B1C1的?
△ABC | A(﹣4,﹣2) | B(0,﹣2) | C(﹣1,2) |
△A1B1C1 | A1(0,0) | B1(4,0) | C1(3,c) |
(2)在平面直角坐标系中画出△ABC和△A1B1C1;
![](https://img.xkw.com/dksih/QBM/2022/4/9/2954024039112704/2955400969879552/STEM/802543ed-abd2-443f-8aa1-9207ef3687d1.png?resizew=280)
(3)写出△ABC是经过怎样平移得到△A1B1C1的?
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【推荐1】如图所示,网格中的每个小正方形的边长都是1,每个小正方形的顶点叫做格点.
的顶点均在格点上,点
,
的坐标分别是
,
关于
轴对称的图形为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/20/4ba7b641-1b40-46f0-bc2b-3cd6e7c99f54.png?resizew=243)
(1)画出
,并写出点
的坐标;
(2)求出
的面积;
(3)在
轴上找出一点
,使
的周长值最小.(不写画法,但需保留做图痕迹)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.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/37120efe98d111cf87617ffd8a5c2eb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b7dc2fe5d920e74d0941b8c1db9ec04.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/20/4ba7b641-1b40-46f0-bc2b-3cd6e7c99f54.png?resizew=243)
(1)画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b7dc2fe5d920e74d0941b8c1db9ec04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
(2)求出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b7dc2fe5d920e74d0941b8c1db9ec04.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/2205cffebf8c4d5f81d15ed7b85c8936.png)
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【推荐2】如图,在平面直角坐标系中
各顶点的坐标分别为
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/1773ef62-3a9b-4340-a50b-2b87c728b026.png?resizew=254)
(1)若点P是x轴上的一动点,则
的最小值是 ;
(2)在图中作
,使
与
关于y轴对称;
(3)请分别写出点
,
,
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e95e84f5c91c910aaafc5e74dbfbdf59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e9f2b482e8a8e0e1b5c720a3574af70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f87cae2228b72a1ec635860203496967.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/1773ef62-3a9b-4340-a50b-2b87c728b026.png?resizew=254)
(1)若点P是x轴上的一动点,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4d1d99eab930cef884e01b97d4d56f1.png)
(2)在图中作
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ee6e1d480ece7117e1f87ebf4bbeea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ee6e1d480ece7117e1f87ebf4bbeea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(3)请分别写出点
![](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/b4c8a9c4957431681ddfc77895a88508.png)
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