如图是一张矩形纸片
,点
在
边上,把
沿直线
对折,使点
落在对角线
上的点
处,连接
.若点
,
,
在同一条直线上,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4f76e37d6e6b182896ccaaa187cfe07.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbfa1a2af7e38d33634c462300df381f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.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/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30b0393ce62b24aa5f9b740d4cc6743b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4f76e37d6e6b182896ccaaa187cfe07.png)
![](https://img.xkw.com/dksih/QBM/2022/5/20/2983411965394944/2984871860502528/STEM/d79e1981-3d6b-48d7-b18c-ddcb7e029ee4.png?resizew=144)
更新时间:2022-05-22 14:00:15
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适中
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【推荐1】如图,将矩形纸片
沿过点
的直线折叠,使得点
落在矩形内点
处,折痕为
.
![](https://img.xkw.com/dksih/QBM/2021/1/28/2646063457075200/2652931302621184/STEM/36327329-ae54-441f-bfd8-5fa46d78207f.png)
(1)点
恰好为
中点时,
的值为______ .
(2)点
在
上且
、
、
在同一条直线上时,
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3953cec61ac602ce5eb59b7912352179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://img.xkw.com/dksih/QBM/2021/1/28/2646063457075200/2652931302621184/STEM/36327329-ae54-441f-bfd8-5fa46d78207f.png)
(1)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3953cec61ac602ce5eb59b7912352179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/120223970943dc87c216b0860e502254.png)
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3953cec61ac602ce5eb59b7912352179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3953cec61ac602ce5eb59b7912352179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/120223970943dc87c216b0860e502254.png)
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【推荐2】如图,矩形ABCD中,点M,N分别在边AD,BC上,连接MN,沿MN翻折,使B点与D点重合,连接BD,BM,DN,下列结论:①△ABM≌△CDN;②四边形BNDM是菱形;③若AB=4,AD=8,则四边形BNDM的面积为24,其中正确的是_______________ (只填序号).
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/26/0a2a49b0-1a18-4991-8dec-647f8950aee8.png?resizew=187)
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【推荐1】如图,在△ABC中,AB=10,BC=7,AC=5,P是AB边上的动点(不与A、B重合),过点P的直线截△ABC,使截得的三角形与△ABC相似,我们不妨称这种直线为过点P的△ABC相似线.设AP=x,若经过点P能画△ABC的相似线最多只有3条,则x的取值范围是_____________ .
![](https://img.xkw.com/dksih/QBM/2021/11/29/2861318367174656/2866766569652224/STEM/40fa6c7e-e0dd-4043-9991-2a0c97c4ee2e.png?resizew=232)
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【推荐2】如图,矩形ABCD的两个顶点A、B分别落在x、y轴上,顶点C、D位于第一象限,且OA=6,OB=4,对角线AC、BD交于点G,若曲线y=
(x>0)经过点C、G,则k=________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/956237ef28b558110df15741ebc2c440.png)
![](https://img.xkw.com/dksih/QBM/2022/4/2/2949747918569472/2951467886305280/STEM/43c5d93911844d5c9269348bd7eda29f.png?resizew=163)
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