如图,已知正方形
的面积为4,它的两个顶点B,D是反比例函数
的图象上两点.若点D的坐标是
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e454044453c500eb13e4e46c71ebe333.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f2416d1f75a45a314331146550832e.png)
A.3 | B.![]() | C.2 | D.![]() |
更新时间:2023-09-26 22:17:28
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【推荐1】在平面直角坐标系中,点
是双曲线
上任意一点,连接
,过点
作
的垂线与双曲线
交于点
,连接
.已知
,则
( )
![](https://img.xkw.com/dksih/QBM/2020/7/23/2512305530503168/2512752652746752/STEM/4a4d722b-c270-43b8-8fb1-b2cd948d61de.png?resizew=300)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07d6b0ba2603750116f546157ac043ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c3d2cba96f6f03520c0b3f6e4da03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c3d2cba96f6f03520c0b3f6e4da03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4907a0dcec7a4c7e301777ee90f8480e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/448a9292371e55b48a6c7559211536bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9af41ccb8328510b272cd02ecc2a9622.png)
![](https://img.xkw.com/dksih/QBM/2020/7/23/2512305530503168/2512752652746752/STEM/4a4d722b-c270-43b8-8fb1-b2cd948d61de.png?resizew=300)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
【推荐2】如图,直y=mx与双曲线
交于点A,B.过点A作AM⊥x轴,垂足为点M,连接BM.若S△ABM=1,则k的值是( )
![](https://img.xkw.com/dksih/QBM/2013/4/16/1573637131313152/1573637188689920/STEM/15d7ad82a2cd436d82bc857d35d77867.png?resizew=201)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07854693dd2e33f66030d6106eb6e0ee.png)
![](https://img.xkw.com/dksih/QBM/2013/4/16/1573637131313152/1573637188689920/STEM/15d7ad82a2cd436d82bc857d35d77867.png?resizew=201)
A.1 | B.m﹣1 | C.2 | D.m |
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【推荐1】勾股定理作为数学史上发现的重要定理之一,多种勾股定理的证明方法都跟正方形有关,比如我国三国时期的赵爽利用图1证明了勾股定理,后来有人利用勾股定理与正方之间的关系,设置了如下问题:如图2,用5个大小不同的正方形如图在水平直线AE上摆放,形成9块部分,分别把他们的面积标记为
,若其中
与
的正方形的边长分别是4和3,则
的值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e07dbc5b25684907795540fe7e9f7f27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/675463524a4bce4895118a79266025da.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/7/3ede9858-2c20-48a2-8437-d05195b434dd.png?resizew=534)
A.180 | B.199 | C.200 | D.225 |
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【推荐2】如图所示,三个正方形中两个的面积分别为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eb0f7a80a9615bda75e4ecb4817b5a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef354e5c5ff828cc8d27c71badd40f98.png)
A.50 | B.25 | C.100 | D.30 |
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