如图,菱形
两条对角线长
与
的和是10,面积是12,求菱形的边长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/24/2bc6dd6e-e8d2-4d19-94c8-bee37852b9a2.png?resizew=188)
更新时间:2023-07-21 22:10:48
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解答题-证明题
|
适中
(0.65)
【推荐2】如图,在平行四边形
中,
交于
点,点
在
上,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/22/9e711014-23af-4eda-b44f-f18f6f6e3af2.png?resizew=235)
(1)求证:四边形
是矩形;
(2)若
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/989c75a3fd02e4971cab421c88de92f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a373959bb9026f8a09845c0b828bf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff66e3210774fae818453dc36ea26c51.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/22/9e711014-23af-4eda-b44f-f18f6f6e3af2.png?resizew=235)
(1)求证:四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/910936ec9fb419d51ce2f5ea817f8401.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/668fc1232abe114c67a46268131d8958.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
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解答题-问答题
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适中
(0.65)
【推荐1】如图1,直线
x+6与y轴交于点A,与x轴交于点D,直线AB交x轴于点B,将△AOB沿直线AB折叠,点O恰好落在直线AD上的点C处.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/22/7fc8e2eb-e3fa-4e2e-a557-5a09be343761.png?resizew=415)
(1)求OB的长;
(2)如图2,F,G是直线AB上的两点,若△DFG是以FG为斜边的等腰直角三角形,求点F的坐标;
(3)如图3,点P是直线AB上一点,点Q是直线AD上一点,且P,Q均在第四象限,点E是x轴上一点,若四边形PQDE为菱形,求点E的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/856c83e47aaab6b0d3ef0823bd082c8b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/22/7fc8e2eb-e3fa-4e2e-a557-5a09be343761.png?resizew=415)
(1)求OB的长;
(2)如图2,F,G是直线AB上的两点,若△DFG是以FG为斜边的等腰直角三角形,求点F的坐标;
(3)如图3,点P是直线AB上一点,点Q是直线AD上一点,且P,Q均在第四象限,点E是x轴上一点,若四边形PQDE为菱形,求点E的坐标.
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解答题-问答题
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适中
(0.65)
名校
【推荐2】菱形
在平面直角坐标系中的位置如图所示,对角线
与
的交点
恰好在
轴上,过点
和
的中点
的直线交
于点
,线段
,
的长是方程
的两根,请解答下列问题:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/24/9428fb9f-7597-4bad-941f-a30a74904671.png?resizew=223)
(1)求点
的坐标;
(2)点
在直线
上,在直线
上是否存在点
,使以点
,
,
,
为顶点的四边形是平行四边形?若存在,请直接写出点
的坐标;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/248ca19888d149106cc192f86a7c51f2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/24/9428fb9f-7597-4bad-941f-a30a74904671.png?resizew=223)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e4fa04825ac7d071968056322d88be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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