小华看到了坐标系中点B关于x轴的对称点为C(-3,2),点A关于y轴对称点为D(-3,4),若将A、B、C、D顺次连接,此图形的面积是多少?
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/24/8542be3b-8e31-41b9-b4bb-9753912aced4.png?resizew=245)
2021八年级上·全国·专题练习 查看更多[1]
(已下线)专题12 轴对称与坐标的变化-2021-2022学年八年级数学上册链接教材精准变式练(北师大版)
更新时间:2021-09-20 17:57:57
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【推荐1】如图,直线
与
轴交于点
,与
轴交于点
,直线
与
轴交于点
,与直线
交于点
,过点
作
轴于点
.点
是
轴上一动点,过
作
轴的垂线,分别与直线
,
交于点
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/27/90aae50c-7ea9-49ac-9de3-e117da6e1f44.png?resizew=221)
(1)设
的长为
,
点的横坐标为
,求
与
的函数表达式;
(2)若以
,
,
,
为顶点的四边形是平行四边形,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca621dc42304f844ac15dad7062d3959.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c31c4f39399ec245a67db2933ed639f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59d36becb71450ba62cb25e8d26b2566.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ffb98f1e3c1317c0db403d3af04bdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/27/90aae50c-7ea9-49ac-9de3-e117da6e1f44.png?resizew=221)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa29fe6cd9eb51c184f6299d437375cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(2)若以
![](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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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【推荐2】在平面直角坐标系中,已知点
.
(1)若点P在y轴上,求点P的坐标;
(2)若点P到x轴的距离为10,求a的值;
(3)若点
,且
轴,则点P的坐标为______.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1070f5cff6f917ce999d9b76b626ffb0.png)
(1)若点P在y轴上,求点P的坐标;
(2)若点P到x轴的距离为10,求a的值;
(3)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77bc1149bad5c6c55894d0464ab48db4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d928238e1f1677f5f20ed62da87eb04.png)
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解答题-作图题
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【推荐1】如图,
在平面直角坐标系中的坐标分别是
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/16/9ccf8c18-1580-4408-acf9-61190384be15.png?resizew=260)
(1)画出
中关于x轴对称的图形
;
(2)求出
的面积;
(3)在y轴上找一点P,使
的值最小(不写作法,保留作图痕迹).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73182f6cdad89fe9ffe8871683e8788e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92a290a27cce9bd59bb6d79822473d8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2ceec8ee3859c0ff81b2d8e2c98e66c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/16/9ccf8c18-1580-4408-acf9-61190384be15.png?resizew=260)
(1)画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4310db23fc79936c7182361e652bab1a.png)
(2)求出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4310db23fc79936c7182361e652bab1a.png)
(3)在y轴上找一点P,使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf16c6e9d03a3420dee1df9b0d750acb.png)
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【推荐2】如图在平面直角坐标系中,△ABC各顶点的坐标分别为: A(4,0),B(﹣1,4),C(﹣3,1)
(1)在图中作△A′B′C′使△A′B′C′和△ABC关于x轴对称;
(2)求△ABC的面积
(1)在图中作△A′B′C′使△A′B′C′和△ABC关于x轴对称;
(2)求△ABC的面积
![](https://img.xkw.com/dksih/QBM/2021/12/17/2874590771716096/2879314355634176/STEM/0801bbaa-3d6d-48f1-b22f-1e8fb6f8e60b.png?resizew=271)
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