如图,双曲线y=
与矩形OABC的对角线OB相交于点D,且DB:OD=2:3,则矩形OABC的面积为( )
![](https://img.xkw.com/dksih/QBM/2016/1/21/1573958422208512/1573958428016640/STEM/34c3c801bf494449a0fa5badfafdb770.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d128796cd2ff664fc3866c5713045c27.png)
![](https://img.xkw.com/dksih/QBM/2016/1/21/1573958422208512/1573958428016640/STEM/34c3c801bf494449a0fa5badfafdb770.png)
A.![]() | B.![]() | C.![]() | D.8 |
更新时间:2016-12-06 04:09:31
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【推荐1】如图,在平面直角坐标系中,O为坐标原点,MN垂直于x轴,以MN为对称轴作△ODE的轴对称图形,对称轴MN与线段DE相交于点F,点D的对应点B恰好落在
的双曲线上,点O、E的对应点分别是点C、A.若点A为OE的中点,且
,则k的值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/27/8bd21c4f-a9ce-4a8d-82a9-72daa645d212.png?resizew=191)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d850dfecb5d18d9c39c1b7dfb3f2aa4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96a1458b5663b0bd3a911a067a932fff.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/27/8bd21c4f-a9ce-4a8d-82a9-72daa645d212.png?resizew=191)
A.-12 | B.12 | C.-24 | D.24 |
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【推荐2】如图,△ABC.的三个顶点分别为A(1,2),B(5,2),C(5,5).若反比例函数
在第一象限内的图象与△ABC有交点,则k的取值范围是( )
![](https://img.xkw.com/dksih/QBM/2018/1/23/1866624850558976/1867850840268800/STEM/2329e789eea54de5978c45796eaff302.png?resizew=113)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07854693dd2e33f66030d6106eb6e0ee.png)
![](https://img.xkw.com/dksih/QBM/2018/1/23/1866624850558976/1867850840268800/STEM/2329e789eea54de5978c45796eaff302.png?resizew=113)
A.2≤k≤25 | B.2≤k≤10 | C.1≤k≤5 | D.10≤k≤25 |
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【推荐1】如图,在平面直角坐标系中,
的顶点
在
轴正半轴上,
是
的中线,点
、
在反比例函数
的图象上,则
的面积等于( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/28/116618b3-f75f-4c03-ace0-7b3d167b4f95.png?resizew=139)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3b8a183696731ea6e8878739f0eca2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/28/116618b3-f75f-4c03-ace0-7b3d167b4f95.png?resizew=139)
A.2 | B.3 | C.4 | D.6 |
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【推荐2】如图,在平面直角坐标系
中有一反比例函数
过第一象限内的点
分别作
轴,
轴的垂线,与
轴,
轴分别交于
、
两点,与双曲线分别交于
、
两点.则以下结论中,正确结论的序号是( )
使![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26e52c49d597e569183c7130830ff604.png)
②存在无数个点
使![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d379c39f1ff3b7d4964005753b44c29.png)
③存在无数个点
使四边形
的面积![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f05f373745eccad7b75df32c755fd36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d752f80003886f8e6bdcd8e77280450.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/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.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/7f9e8449aad35c5d840a3395ea86df6d.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26e52c49d597e569183c7130830ff604.png)
②存在无数个点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d379c39f1ff3b7d4964005753b44c29.png)
③存在无数个点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14e902eb263971b466d0fcd91c56b453.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f05f373745eccad7b75df32c755fd36.png)
A.①② | B.①③ | C.②③ | D.①②③ |
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【推荐1】矩形的两边长分别为x和6(x<6),把它按如图方式分割成三个全等的小矩形,每一个小矩形与原矩形相似,则x的值为( )
![](https://img.xkw.com/dksih/QBM/2020/3/15/2419951298936832/2420816366534656/STEM/6542c430dbc84cea9eb1df4322821ac7.png?resizew=144)
![](https://img.xkw.com/dksih/QBM/2020/3/15/2419951298936832/2420816366534656/STEM/6542c430dbc84cea9eb1df4322821ac7.png?resizew=144)
A.![]() | B.![]() | C.![]() | D.2.5 |
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【推荐2】书画经装裱后更便于收藏.如图,画心ABCD为长90cm、宽30cm的矩形,装裱后整幅画为矩形A′B′C′D′,两矩形的对应边互相平行,且AB与A′B'的距离、CD与C′D′的距离都等于4cm.当AD与A′D′的距离、BC与B'C′距离都等于acm,且矩形ABCD∽矩形A′B′C′D'时,整幅书画最美观此时,a的值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/2/b6783b64-b1d4-4906-a5bc-519ccccbcc80.png?resizew=195)
A.4 | B.6 | C.12 | D.24 |
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