如图,在矩形
中,点O是坐标原点
的图象上,点B在反比例函数
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be9040cff7e9e20dd2817ad9888237d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef854dfcbba9b7dedc1bc52f6332b011.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07854693dd2e33f66030d6106eb6e0ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06c82b526047264d3524ab556e2f9056.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
更新时间:2024-05-11 13:44:16
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【推荐1】如图,点A是函数
的图象上的点,点B、C的坐标分别为B(﹣
,﹣
)、C(
,
).试利用性质:点“函数
的图象上任意一点A都满足
”求解下面问题:作∠BAC的内角平分线AE,过B作AE的垂线交AE于F.已知当A在函数
的图象上运动时,OF的长度总等于________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f42b2a9736c8943106472a7398d2892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f42b2a9736c8943106472a7398d2892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d766aada3fb722a935b69d0e05faa71b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f42b2a9736c8943106472a7398d2892.png)
![](https://img.xkw.com/dksih/QBM/2021/6/25/2750800488448000/2799697016569856/STEM/e30a2551-a39c-4931-b53a-4d0a0c218d3c.png)
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【推荐2】如图直角坐标系中,矩形ABCD的边AB在x轴上,反比例函数
第一象限内的图象经过点C,坐标原点O在AB边上,E在AD边上,AD=4DE,BE交y轴于点F,若△ABF的面积为12,则
的值是__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/613e726e7579a1ce83c45ce3db56e1de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://img.xkw.com/dksih/QBM/2021/5/8/2716649647972352/2721503012454400/STEM/239989d8-3f54-4f90-a87a-286c7d1ff4dc.png)
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【推荐1】如图,点A,B分别在反比例函数y=
(x<0)与y=
(x>0)的图象上,且△OAB是等边三角形,则点A的坐标为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c943d7b6ce65c70e98d62e3664168ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/213048ecd97897f598b539ce77607b95.png)
![](https://img.xkw.com/dksih/QBM/2020/8/9/2524333667311616/2526799836872704/STEM/efe88ab39caa46f18f9eb60cbbeb310e.png?resizew=236)
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【推荐2】如图,直线
分别与
轴、
轴交于点
,
,与反比例函数
的图象交于点
,
,过点
,
分别作
轴
轴的垂线,垂足分别为
,
.
(1)若图中阴影部分的面积等于3,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
____________ ;
(2)若
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.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/4202af9a6473fa4c2dd963b5226986e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbc68e8d959824a6e2e047972d13af14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/24/bfa26196-2389-42a3-bf6b-bd57114271ec.png?resizew=202)
(1)若图中阴影部分的面积等于3,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8862d31648f925d76074271e627ecb8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4901a7eda97d6a307db76c4fb196ba3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
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【推荐1】在
中,
是
边上一点,
与
交于
点.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/3/bea41146-b942-4a4e-8fc7-740c63b67c30.png?resizew=324)
(1)如图1,若
于
,则
的值为______ .
(2)如图2,若
,已知
.则
的长为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90dc865781ebfe38b4a75d5184a8956.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf5e07992b27b098a83bd7a436cbfabb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/3/bea41146-b942-4a4e-8fc7-740c63b67c30.png?resizew=324)
(1)如图1,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57a656a7e922b6434cfbbeb58954558c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/924f4c8d6cb5dfcf75e82d818381139f.png)
(2)如图2,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10f9372a4e19dfe19cbace1716392526.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0235a73fb8e1c3651f466376cf07e545.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
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【推荐2】如图,在
中,∠C=90°,AC=3,BC=4,半径为2的⊙O与AC,BC分别相切于点D,E,将线段AB沿着射线CA的方向平移得到线段
,若
与⊙O相切于点F,连接EF,则EF的值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7281b641656a5992abaafb4190ca9afc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb0628cecbfc98d390e5447d52414e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb0628cecbfc98d390e5447d52414e8.png)
![](https://img.xkw.com/dksih/QBM/2022/10/12/3085992348991488/3090277407252480/STEM/b55d2da8700b4bffbd4814f8a72a10ca.png?resizew=179)
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【推荐1】如图,在
中,
,
,若点D在AB边上移动(不与A、B重合),并始终保持
,DE与边BC交于点E,则线段BE长的最大值是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f8f88798ec42a58dccd212586382b23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b573d01bf39b39710730c055c32d391.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411f27dd67935cee8baa1799cbf0b7d4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/6/b186ff4d-1e8c-41fc-8a57-ed1cb705a043.png?resizew=226)
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【推荐2】如图,
中,
,
,
,
是
的中线,E是边
上一动点,将
沿
折叠,点B落在点F处,
交线段
于点G,当
是直角三角形时,
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/addb8e20db1fbb40f17dea52f951b907.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3b8a4b0e72a4de1da975168b243a325.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07fbad473c16df3ff62c1c6b37de6aa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21037e170bdbb322558e79c40c00b454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/029ad83f1a3262048cba0e650b63e929.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5277fa450a0c513a86a74420f8ee99f6.png)
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