在平面直角坐标系中,点O是坐标原点,点A是x轴正半轴上的一个定点,点B是反比例函数y=
(y>0)的图象上一个动点,当△ABO的面积随点B的横坐标增大而增大时,则k的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da063e9ac5446cde80e9f3d6d8c97c1b.png)
A.k<4 | B.k≤4 | C.k>4 | D.k≥4 |
更新时间:2020-04-01 14:22:01
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【推荐1】如图平面直角坐标系中,点A,B均在函数y=
(k>0,x>0)的图像上,⊙A与x轴相切,⊙B与y轴相切,若点B(1,8),⊙A的半径是⊙B半径的2倍,则点A的坐标为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/26/f3877eaa-62c4-4ad7-80cf-bf49c6198f50.png?resizew=212)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abb3a62e46296c417261156b51ec6b4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/26/f3877eaa-62c4-4ad7-80cf-bf49c6198f50.png?resizew=212)
A.(2,2) | B.(2,4) | C.(3,4) | D.(4,2) |
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【推荐2】如图,矩形
的顶点A,B分别为反比例函数
与
,点C,D在x轴上,
分别交y轴于点E,F,则阴影部分的面积为( )
![](https://img.xkw.com/dksih/QBM/2023/8/24/3309530548035584/3459791302451200/STEM/78e7e9fe0a4240b2914e4fd4107fc08b.png?resizew=148)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80ff6ca15946b9c0b2e5ebaf9eff533c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/276da93dcce07108cd2dcb10a0152dcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35afb83a9ca575aa03dde42159048d9a.png)
![](https://img.xkw.com/dksih/QBM/2023/8/24/3309530548035584/3459791302451200/STEM/78e7e9fe0a4240b2914e4fd4107fc08b.png?resizew=148)
A.![]() | B.3 | C.![]() | D.5 |
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【推荐1】如图,已知在平面直角坐标系
中,直线
分别交x轴,y轴于点A和点B,分别交反比例函数
,
的图象于点C和点D,过点C作
轴于点E,连结
,若
的面积与
的面积相等,则k的值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e8f77e3876694978a22975eff397375.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c09d24deb2a182386acf3a1327b6edee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1659c9151852032b6d927559e44cbe8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03e6dc08b0ba0a0bf43d9395da447b5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72f3fd778bc6f1f82b8e697c794d19dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e72a855bb6d80737099e412ed52a26b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6557a1ff41eaa2d0e04e51c860e53b23.png)
A.2 | B.![]() | C.1 | D.![]() |
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【推荐2】如图,在矩形OABC中,AB=2BC,点A在y轴的正半轴上,点C在x轴的正半轴上,连接OB,反比例函数
(k≠0,x>0)的图象经过OB的中点D,与BC边交于点E,点E的横坐标是4,则k的值是
![](https://img.xkw.com/dksih/QBM/2013/9/17/1573685429723136/1573685435129856/STEM/826fc57c9f2e4f278b7ee4d44f44d201.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a90056c1ea08fd310c2ba5ae6650856.png)
![](https://img.xkw.com/dksih/QBM/2013/9/17/1573685429723136/1573685435129856/STEM/826fc57c9f2e4f278b7ee4d44f44d201.png)
A.1 | B.2 | C.3 | D.4 |
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