如图,在平面直角坐标系中,两条直线分别为y=2x,y=kx,且点A在直线y=2x上,点B在直线y=kx上,AB∥x轴,AD⊥x轴,BC⊥x轴垂足分别为D和C,若四边形ABCD为正方形时,则k=( )
![](https://img.xkw.com/dksih/QBM/2022/2/13/2915426579021824/2924622911225856/STEM/ceb55475-a005-4d05-b847-5a15f014b4f7.png?resizew=184)
![](https://img.xkw.com/dksih/QBM/2022/2/13/2915426579021824/2924622911225856/STEM/ceb55475-a005-4d05-b847-5a15f014b4f7.png?resizew=184)
A.![]() | B.![]() | C.![]() | D.2 |
2021·吉林长春·二模 查看更多[2]
更新时间:2022-02-26 11:03:27
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【推荐1】已知在平面直角坐标系
中,过点O的直线交反比例函数
的图象于A,B两点(点A在第一象限),过点A作
轴于点C,连结
并延长,交反比例函数图象于点D,连结
,将
沿线段
所在的直线翻折,得到
,
与
交于点E.若点D的横坐标为2,则
的长是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/18/e8892cf4-8fb8-41cb-a62f-4987efdc5ae1.png?resizew=224)
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A.![]() | B.![]() | C.![]() | D.1 |
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【推荐2】如图所示,直线
分别与
轴、
轴交于点
、
,若
,则直线
的函数表达式为( )
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
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A.![]() | B.![]() |
C.![]() | D.![]() |
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【推荐1】如图,在平面直角坐标系中,Rt△ABO中,∠ABO=90°,OB边在x轴上,将△ABO绕点B顺时针旋转60°得到△CBD.若点A的坐标为(-2,2
),则点C的坐标为( )
![](https://img.xkw.com/dksih/QBM/2017/2/16/1625271569260544/1643690012581888/STEM/1bf213ee22394ec4bda020046454794e.png?resizew=137)
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A.(![]() | B.(1,![]() | C.(1,2) | D.(2,1) |
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【推荐2】如图,直线y=
x+
与x轴、y轴分别交于点A、B,在坐标轴上找点 P,使△ABP为等腰三角形, 则点P的个数为( )
![](https://img.xkw.com/dksih/QBM/2019/7/28/2256527573336064/2282953099870209/STEM/5c02f946453849b5a9c3b99fec941375.png?resizew=136)
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A.2 | B.4 | C.6 | D.8 |
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【推荐1】如图,正方形ABCD的对角线AC,BD交于点O,E是BD上的一点,连接EC,过点B作BG⊥CE于点G,交AC于点H,EF⊥EC交AB于点F.若正方形ABCD的边长为4,下列结论:①OE=OH;②EF=EC;③当G为CE中点时,BF=
;④BG•BH=BE•BO,其中正确的是( )
![](https://img.xkw.com/dksih/QBM/2021/9/9/2804608266067968/2806752088121344/STEM/c1db14407c8b49938a41bee23d0105dc.png?resizew=126)
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A.①②③ | B.①②④ | C.①③④ | D.①②③④ |
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【推荐2】正方形ABCD的边长为2,以AD为边作等边△ADE,则点E到BC的距离是( )
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